My name in books (mostly from google books)
My name in title from Math Reviews
My name in title from other sources
1970
Problems of information transmission: Volume 6 Page 61, 69
Consultants Bureau Faraday Press, 1970
Vasershtein
Automation express - Volume 12 -International Physical Index., 1970 Page 16, 37
Vasershtein
Институт проблем рынка (Академия наук СССР), Институт проблем рынка (Российская академия наук) - 1982 - Snippet view - More editions
Л.: Машиностроение, 1970. 2. Васерштейн Л. Н., Шерман Э. Б. О формировании вариантов в дискретных задачах оптимального отраслевого планирования. — Экономика и матем. методы, 1975, т. XI, вып. 4. 3. Васерштейн Л. П.
1971
James E. Humphreys Courant Institute of Mathematical Sciences, New York University, 1971 - 121 pages ISBN: 0387099727
Vaserstein
MR0339966 \cyr Matematika: Periodicheskiĭ sbornik perevodov inostrannykh stateĭ. Tom 15 (1971), \cyr vyp. 6. (Russian) [Mathematics: Periodical collection of translations of foreign articles.
Vol. 15 (1971), no. 6] Izdat. ``Mir'', Moscow, 1971. 166 pp. 00A10
MR0429414 \cyr Matematika: Periodicheskiĭ sbornik perevodov inostrannykh stateĭ 15, vyp. 1. (Russian) [Mathematics: Periodical collection of translations of foreign articles
15, no. 1] Izdat. ``Mir'', Moscow, 1971. 160 pp. 00A10
1972
Séminaire de probabilités VI: Université de Strasbourg 1971/72, Volume 11 - Page 286, 290
Springer - 1972 - 253 pages Lecture Notes in Mathematics 258
References. M. DOBRUSIN, R. L. : Description of a random field by means of conditional probabilities and conditions of its regularity. ... WASSERSTEIN, L. N. : Probl. peredaci informacii 5,3 (1969), 64-73.
Introduction to Algebraic K-Theory By JOHN W AUTOR MILNOR Princeton University Press 1972 - Page viii
Vaserstein
MR0352037 Veĭlʹ, Andrè \cyr Osnovy teorii chisel. (Russian) [Fundamentals of number theory] Translated from the English by L. N. Vasseršteĭn and A. N. Paršin.
Edited by I. I. Pjateckiĭ-Šapiro. Izdat. ``Mir'', Moscow, 1972. 408 pp. 12-XX
1973
Hermitian K-theory and geometric applications: proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute,
from August 28 to September 8, 1972 Hyman Bass - 1973 - 572 pages Page 125, 156, 212
Vaserstein
Séminaire de probabilités VII: Université de Strasbourg - Page 286
Paul André Meyer - 1973 - 322 pages Lecture Notes in Mathematics 321
idea of WASSERSTEIN
Topics in stability and bifurcation theory Springer-Verlag, 1973 190 pages - Page 89
David H. Sattinger Springer-Verlag, 1973 - - 190 pages
Vaserstein
Three conjectures about modules over polynomial rings
D Eisenbud, E Evans - Conference on Commutative Algebra, 1973 - Springer
... Nat. Acad. Sci. 44(1958), 456-458. Vaserstein, L. [Vas] "Stable Rank of Rings and Dimensionality
of Topological Spaces~ Functional Analysis and its Applications 5 , (1971), I02-110. Brandeis
University Waltham, Massachusetts MIT Cambridge, Massachusetts 89
Proceedings of the Conference on Orders, Group Rings and Related Topics / Edition 1 by J. S. Hsia (Editor), M. L. Madan (Editor), T. G. Ralley (Editor)
1973 - Springer Institute in Seattle, Washington, August 28- September 8, 1972).
Stability for K 2 R Dennis
[14] LN Vaserstein, On the stabilization of the general linear grOup over
a ring~ Mat. Sbornik 79 (1969), 405-424 (Amer. Math. Soc. Translation v. 8, 383-4oo. ) ...
1974
1974
The definitive form (above) of (b) is due to Vasserstein [Va] . It is by far the most difficult of the results I shall discuss here. Its proof is too long and technical to give in detail within the scope of these lectures. The proof of (a), which is quite easy, ...
Bulletin signalétique: - Page 291, 312
Informatique, automatique, recherche opérationnelle, gestion, Volume 35, Issues 1-7061
Centre national de la recherche scientifique (France). Centre de documentation scientifique et technique, Centre national de la recherche scientifique (France). Centre de documentation - 1974
distance de Wasserstein
Introduction to some methods of algebraic K-theory - Page 8
Hyman Bass, Conference Board of the Mathematical Sciences - 1974 - 68 pages
Volume 20 of Regional Conference series in mathematics
The definitive form (above) of (b) is due to Vasserstein [Va] . It is by far the most difficult of the results I shall discuss here. Its proof is too long and technical to give in detail within the scope of these lectures.
Lecture notes on discrete Markov systems - Page 57, 70
Volume 10 of Carleton mathematical lecture notes
D. A. Dawson - Carleton University, 1974 - 144 pages
Vasserstein metric
MR0395739 \cyr Matematicheskie metody v èkonomicheskikh issledovaniyakh. (Russian) [Mathematical methods in economic research] Supplement to Èkonom. i Mat. Metody.
Edited by E. G. Golʹšteĭn. \cyr Seriya "\cyr Optimalʹnoe Planirovanie i Upravlenie''. [Optimal Planning and Control Series] Izdat. ``Nauka'', Moscow, 1974. 172 pp. 90-06
1975
Limit theorems of probability theory - Page 152, 162
Pál Révész, Bolyai János Matematikai Társulat
Volume 11 of (Colloquia mathematica Societatis János Bolyai)
North-Holland Pub. Co., 1975 IEEE, 1975 - 420 pages
Wasserstein - distance
APPLICATIONS (a) The Wasserstein metric.
IEEE transactions on communications: Volume 23
IEEE Communications Society, Institute of Electrical and Electronics Engineers - 1975
Vasershtein
Computer and information systems: Volume 14 1975 Cambridge Scientific Abstracts.
Proceedings: Eighth Hawaii International Conference on System Sciences - Page 80, 81
conference held January 7, 8, 9, 1975 Western Periodicals Co.2975 ,
The mismatch bound is in terms of a measure of the distance between random variables which is a generalization of the Vasershtein
distance [ 1, 2] and a special case of the P distance between random processes [ 3] .
Algebraic Geometry: Arcata 1974 - Page 111, 112, 114
edited by Robin Hartshorne, American Mathematical Society 1975
Suslin-Vaserstein all announced important progress.
1976
Introduction to ergodic theory: - Page 15
I͡Akov Grigorʹevich Sinaĭ - Princeton University Press 1976 - 144 pages
Wasserstein
Coupling methods for Markov processes - Page 24, 45, 71
David Scott Griffeath - 1976 - 158 pages
Once again, straightforward computations show that (l6) leads to a coupling, the version for Markov processes of a more general construction due to
Vasershtein; call it the Vasershtein coupling.
Soviet electrical engineering: Volume 46, Issues 7-12 1976. Page 103, 104, 111
1975 Allerton Press, 1976
PARAIEETRIC NODELS FOR OPTII-'IIZING FUTURE INDUSTRY-WIDE PLANNING
L. N. Vasershtein, Yu. A. Rudnev, and E. B. Sherman Eiektrotekhnika, V01. 46, No. T1, pp. 57-59, T975 UDC 65.0T2.2 Fundamentally new parametric models ...
Proceedings of the 1975 IEEE-USSR Joint Workshop on Information Theory, December 15-19, 1975, Moscow, USSR - Page 48, 49, 63
Akademii︠a︡ nauk SSSR. Working Group on Information Theory, IEEE Information Theory Group, Institute of Electrical and Electronics Engineers. Information Theory Group - 1976 - 247 pages
The V distance can also be interpreted as a natural adaptation of the Vasershtein distance [22] to random processes.
Probabilities and metrics: convergence of laws on metric spaces, with a view to statistical testing Richard M. Dudley - Page 20-1, 20-2
Wasserstein norm
University of Wisconsin--Madison, 1976 - John David Prange - 402 pages
The basic result used in the dual operator approach is due to Vasershtein and ...
Geometric algebra over local rings - Page 415
Bernard R. McDonald M. Dekker, 1976 - 421 pages
Vaserstein
Algebraic K-theory: proceedings of the conference held at Northwestern University, Evanston, January 12-16, 1976 - Page 77, 78, 153
Michael R. Stein Springer-Verlag, 1976 - 409 pages
Vaserstein
1977
ACM Guide to Computing Literature Association for Computing Machinery - 1977 - 1695 pages
Ergodic and information theory - Page 329, 339, 387
Robert M. Gray, Lee D. Davisson - 1977 - 387 pages
As suggested by Kailath (1973), p" can be interpreted as the Vasershtein distance (Vasershtein (1969)) between [is and // with ... Hence Theorem 1 demonstrates the equivalence of the p distance with the appropriate Vasershtein distance.
The Annals of probability: Volume 5 Institute of Mathematical Statistics - 1977 - Page 678, 692
Vasershtein
Controlled spin-flip systems Lawrence Firman Gray - 1977 - 104 pages - Page 52
Vasershtein
Proceedings of the ... Conference on Information Sciences and Systems - Volume 11 - Page 158, 159, 161
Department of Electrical Engineering and Computer Sciences, Johns Hopkins University, 1977
Abstract The Bhattacharyya, l—divergence, Vasershtein, variational and Levy distances are evaluated, compared and used for the reduction of n data to one feature.
Annales: Calcul des probabilités et statistique - Volume 13 - Page 157
Institut Henri Poincaré - Gauthier-Villars., 1977
A. L. Toom, Nonergodic multidimensional systems of automata. Problemy Peredachi Informatsii, t. 10, no. 3. 1974. p. 229-246. [12] L. N. Vasershtein, A. M. Leontovich, Invariant measures of certain Markov operators describing a homogeneous ...
1978
Studies in probability and ergodic theory Gian-Carlo Rota - Academic Press, 1978 - 293 pages - Page 14, 26, 39
Note that the classical coupled process is "weaker" than the Vasershtein coupled process since the former moves from (x, y) $ A ... In fact, the Vasershtein coupling is characterized by the property that at each step it sends us to the diagonal as ...
Locally interacting systems and their application in biology: - Page 55, 112
proceedings of the School-Seminar on Markov Interaction Processes in Biology, held in Pushchino, Moscow Region, March 1976
R. L. Dobrushin, V. I. Kri︠u︡kov, A. L. Toom - Springer-Verlag, 1978 - 202 pages
Vasershtein L.N., Markov processes on a conutable space product describing large automata systems, Problemy Peredaci Informacii, 5_, (1969) , vyp. 3, 64-72.
MR0536824 (81e:60003) Szulga, Alicja On the Wasserstein metric. Transactions of the Eighth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (Prague, 1978), Vol. B, pp. 267--273, Reidel, Dordrecht-Boston, Mass., 1978. (Reviewer: V. J. Paulauskas) 60B05 (90A05)
Ergodic theory and information - Page 129
Patrick Billingsley - 1978
1979 8 books
Ring theory Waterloo, 1978: - Page 329, 333, 338
proceedings, University of Waterloo, Canada, 12-16 June 1978
Springer-Verlag, 1979 - Lecture Notes in Mathemstics 734 352 pages
For example, if X is a topological space, Vaserstein [26] has proved that s. r. (A) = 1+dim X for A the ring of continuous functions on X.
Random walks with stationary increments and renewal theory: Volume 1972 - Page 29, 221
H. C. P. Berbee - 1979 - 223 pages
Vasershtein
The stochastic time evolution of Gaussian interacting systems - Page 91
Cheng-tan Hsiao Cornell University, Aug., 1979 - Mathematics - 182 pages
Wasserstein Distance
Sūri kagaku kōkyūroku: Volumes 371-374 - Page 124
Kyōto Daigaku. Sūri Kaiseki Kenkyūjo - 1979
Wasserstein
An Introduction to Homological Algebra - Volume 85 - Page xi
By Joseph J. Rotman Academic Press 1979
Vaserstein's
Additive and cancellative interacting particle systems - Page 106
David Griffeath - 1979
L. N. Vasershtein (1969). Markov processes over denumerable products of spaces
IEEE International Symposium on Information Theory - Page 135
IEEE Xplore (Online service)., IEEE Information Theory Group, IEEE Information Theory Society - 1979
THE VASERSHTEIN DISTANCE AS THE STABILITY CRITERION IN ROBUST ESTIMATION, P. Papantoni-Kazakos (School of Engineering, U-l57, University of Connecticut, Storrs, Connecticut 06268). In the models used by Hampel as well as
Commutative rings whose finitely generated modules decompose - Page 28, 105, 106
Willy Brandal - 1979
L. N. Vasershtein (1969). Markov processes over denumerable products of spaces, describing large systems of automata, Problemy Peredachl Informatsll 5 (3), 64-73. L. N. Vasershtein and A. M. Leontovlch (1970). Invariant measures of ...
1980 9 books
Ludwig Streit - 1980
We have thus shown: Theorem (3.5) Under (D) the unique Gibbs state P € G(tt) has the global Markov property. Remark (3.6) The same argument holds if we define agfc in terms of a Wasser- stein distance and replace (D) by conditions (5.2), ...
INIS atomindeks: Volume 11, Issues 5-6 International Atomic Energy Agency, International Nuclear Information System -1980
Proceedings of the ... Conference on Information Sciences and Systems: Volume 14 - Page 262
Johns Hopkins University. Dept. of Electrical Engineering, Johns Hopkins University. Electrical & Computer Engineering, Princeton University. Dept. of Electrical Engineering - 1980
Vasershtein
The Soviet review: Volumes 20-21 1980 - Page 44
|
LN Vasershtein and EB Sherman, "O formirovanii variantov v diskretnykh zadachakh optimal'nogo otraslevogo planirovaniia," Ekonomika i matematicheskie metody, 1975, vol. 11, no. 4. 21. |
Multicomponent random systems Page 58, 468, 502, 574
R. L. Dobrushin, I͡Akov Grigorʹevich Sinaĭ, David Griffeath - Marcel Dekker, 1980 - 606 page
SK1 von Schiefkörpern: Peter Draxl, Martin Kneser - Springer-Verlag, 1980 - 123 pages - Page 108
Markov random fields and their applications - Page 141
Ross Kindermann, James Laurie Snell, American Mathematical Society, 1980 - 142 pages
Vasershtein, L.N. (l969) : "Markov processes over ...
Publications - Volumes 25-27 - Page 30, 40
Université de Paris. Institut de statistique 1980
Wasserstein distance
Biological growth and spread: - Page 144
mathematical theories and applications : proceedings of a conference held at Heidelberg, July 16-21, 1979
Willi Jäger, Hermann Rost, Petre Tăutu Springer-Verlag, 1980 - Science - 511 pages
Vasserstein
1981 11 books
rigorous results in statistical mechanics and quantum field theory, Issue 27, Volume 1
J. Fritz, Joel Louis Lebowitz, D. Szász - North-Holland Pub. Co., 1981 1111 pp
rigorous results in statistical mechanics and quantum field theory J. Fritz, Joel Louis Lebowitz, D. Szász
... Assume that a uniform Dobnishin — Wasserstein condition (15) a = sup 21 a (/, A:) < 1 holds, and that the dependence in P on the ...
Vaserstein
American Mathematical Society Translation - Page 11
1981
Vaserstein [4], for example, proved s.r. R[XU . . . , Xn] = n + 1; however for the field C topological methods allow us to establish the inequality s.r. C[Xv . . . , X„] > 1 + n/2. The pi value of the stable rank of a polynomial ring of two variables is ...
Statistical theory and method abstracts - Volume 22
International Statistical Institute - 1981
... the corresponding versions of the Blackwell-Orey equivalence, and to prove criteria of Dobrushin-Wasserstein type. ... and the probability of ultimate extinction is approximated using a diffusion approximation with the backward diffusion ...
Proceedings of the Conference on Probability Theory Page 140, 149, 152
Academia Republicii Socialiste România. Centre of Mathematical Statistics - 1981
The Vasershtein metric, which we denote by Ar, is defined by Ar(n, v) = inf U S(x, y)p(dx, dy) where the infimum is taken over all couplings p. of ^ and ...
For more facts about the Vasershtein metric see Vasershtein (1969) and Dobrushin (1970).
Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics - Page 1, 19, 20, 67
David Michael Klein Cornell University, Aug., 1981 - Science - 134 pages
Following Gross [6] and Vasershtein [17], we manipulate these inequalities in matrix form.
Eight lectures delivered at the Inernational Congress of Mathematicians in Helsinki By G. S. Makanin, Lev I︠A︡kovlevich - Page 11
Algebraic K-Theory. Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24-27, 1980 - Page 465
Eric M. Friedlander, Michael R. Stein Springer, May 26, 1981 - Mathematics - 517 pages
Methods of representation theory--with applications to finite groups and orders - Page 77, 81, 129
Charles W. Curtis, Irving Reiner Wiley, 1981 - 951 pages
American Mathematical Society - 1981
(Received January 11, 1982 ) 793-20-70 L. N. VASERSTEIN, Department of Mathematics, PennijlTania State UniTersity, University Park, PA 16802. Cluneal groupt over rinjt. • The classical groups over rings include the general linear groups
Matematică, Volumes 27-28
Universitatea "Al. I. Cuza" din Iași - 1981
H. Dayton, E. M. Friedlander & B. Parshall, H. Gillet, D. R. Grayson, D. Guin- Walerv &".J. -L. Lodav, W. van der Kallen, C. Kassel, J. -L. Loday, R. J. MiUram, R. Oliver, S. Priddy, C. Sherman, C. Soule (2), J. Stienstra, L. N. Vaserstein, C. A. ...
Academia Republicii Socialiste România, Academia Republicii Populare Romîne - 1981
... coupling and since Vasershtein seems to have been the first to construct this coupling we call it Vasershtein's diagonal coupling [63]. We shall usually denote it by fe. The next little lemma is basic in the theory of couplings. Lemma 3.1.
1982
by VP Platonov - 1982
The major part of Humphrey's book [149] concerns the congruence problem, which is ...... Linear algebraic groups, W.A. Benjamin Inc., New York 1969. ... [17] L.N. Vasershtein, The group SL2 over Dedekind rings of arithmetic type, Mat. Sb.
MR0662823 (83e:00003) Dieudonné, Jean Alexandre A panorama of pure mathematics. As seen by N. Bourbaki. Translated from the French by I. G. Macdonald. Pure and Applied Mathematics, 97.
Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1982. x+289 pp. ISBN: 0-12-215560-2 00A05.
p.181 (L. Wasserstein), p,259 (P.Vaserstein).
IEEE transactions on information theory: Volume 28
Institute of Electrical and Electronics Engineers. Professional Technical Group on Information Theory, Institute of Electrical and Electronics Engineers. Information Theory Group, IEEE Information Theory Group - 1982
Dissertation abstracts international: The sciences and engineering Page 3294
University Microfilms, University Microfilms International - 1982
Ecole d'été de probabilités de Saint-Flour X--1980: Volume 10, Issue 1980 Page 204
Jean-Michel Bismut, L. Gross, Klaus Krickeberg - 1982 - 313 pages -
High temperature differentiability of lattice Gibbs states by Dobrushion uniqueness techniques Page v, 39, 49
Chetan Prakash - 1982 - 298 pages -
Definition of Vasershtein Matrices
Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin: - Page 88
proceedings, Paris 1981 (34ème année)
Units in Whitehead groups of finite groups
Bruce Magurn, Robert Oliver, Leonid Vaserstein Matematisk Inst., Univ., 1982 - 56 pages
Zbl 0482.18005 Magurn, Bruce; Oliver, Robert; Vaserstein, Leonid
Units in Whitehead groups of finite groups. (English)
Prepr. Ser., Aarhus Univ. 27, 56 p. (1982). MSC2000: *18F25 16E20 16S34
proceedings of a conference, held at Oberwolfach, June 1980
Wasserstein
Espacios simplécticos sobre [beta]-anillos y anillos de Hermite, tra[n]svecciones simplécticas - Page 39, 68
Vaserstein
American men and women of science: The physical and biological sciences, Volume 7; Volume 15, Issue 7 Bowker, 1982 Page 297
Wasserstein
1983 8 books
Abstracts of papers presented to the American Mathematical Society - Volume 4 - Page 526, 632
Samuel J. Lomonaco, Jr., American Mathematical Society - 1983
B. Magurn, R. Dliver and L. Vaserstein, "Units in Whitehead groups of finite groups", (to appear). 17. R. Dliver, "SK. for finite group rings I", Invent. Math. 57 (1gBD), 1B3-2D4. 1B. R. Dliver, "SK, for finite group rings II", Math. Scand. 47 (1gBD) ...
Introduction to robust and quasi-robust statistical methods - Page 205, 226
William J. J. Rey - 1983 - 236 pages
Vasershtein distance
Cabal Seminar 79-81: proceedings, Caltech-UCLA Logic Seminar 1979-81 - Page 97
Alexander S. Kechris, D. A. Martin, Yíannis N. Moschovakis - 1983 - 284 pages
Lecture Notes in Mathematics, Issues 1019-1021
Vasserstein distance
Low Dimensional Topology: Proceedings of the Special Session - Page 162
special session on Low Dimensional Topology organized and conducted by Dr. Lomonaco at the American Mathematical Society meeting held in San Francisco, California, January 7-11, 1981.
B. Magurn, R. Dliver and L. Vaserstein, "Units in Whitehead groups of finite groups", (to appear). 1
Semi-infinite programming and applications: - Page 77, 82
an international symposium, Austin, Texas, September 8-10, 1981
Anthony V. Fiacco, K. O. Kortanek Springer-Verlag, 1983 - 322 pages
Wasserstein distance
Étude et calcul de quelques distances en probabilités et statistique et applications
séparation asymptotique des chaînes de Markov
Bernard Garel Université scientifique et médicale de Grenoble, Institut national polytechnique de Grenoble, 1983 - 169 pages
On étudie la distance de Prokhorov, la distance de Geffroy et la distance de Fortet-Mourier-Wasserstein.
Lond Mathematical Society Lecture Note Series. 81 , Skew Fields - Page 172
SL (D) = [ A* ,A*] c z ( A) if n — I n ^ 2 (the case n = 1 is covered by Vaserstein's Lemma). Indeed, if the latter were false, Lemma 1 would imply that Ej(A) D SLn(D) is a proper normal subgroup of SLn(D), hence (see Theorem 2 in §21.) ET(A) fl ...
MR0696937 Draxl, P. K. Skew fields. London Mathematical Society Lecture Note Series, 81. Cambridge University Press, Cambridge, 1983. ix+182 pp. ISBN: 0-521-27274-2 (Reviewer: Jean-Pierre Tignol) 16A39 (12E15 18F25)
Николай Прокофьевич Федоренко, И. П. Шубкина, Центральный экономико-математический институт (Академия наук СССР) - 1983 - Snippet view
Оптимизационные и экономико-статистические методы в перспективном отраслевом планировании. Новосибирск: Наука, 1975. 18. Васерштейн Л. Н., Шерман Э. В. Проблемы формирования вариантов развития и специализации ...
1984 13 books
Atti Del ... Congresso Internazionale Dei Matematici ... - Volume 1 - Page 385
S. D. Chatterji, Ichirō Satake, Zbigniew Ciesielski, Czesław Olech Springer-Verlag, 1984
The vast literature on the Serre conjecture contains many negative and a few special positive results on the problem of extending to vector bundles on X for X regular: one may consult the articles of Horrocks, Swan, Murthy, Vasserstein, Bass, ...
Positive semigroups of operators, and applications - Page 384
Ola Bratteli, Palle E. T. Jørgensen - 1984 - 188 pages
Vasershtein
Robust and nonlinear time series analysis: - Page 221, 222, 223
proceedings of a workshop organized by the Sonderforschungsbereich 123 "Stochastische Mathematische Modelle", Heidelberg 1983
Jürgen Franke, Wolfgang Härdle, Douglas Martin - 1984 - 286 pages
Vasershtein
Vortex methods in two-dimensional fluid dynamics - Page 36
Carlo Marchioro, Mario Pulvirenti - 1984 - 137 pages
Vasershtein
Quadratic and Hermitian Forms: 1983 - Page 140
By Carl R. Riehm, Ian Hambleton, Natural Sciences and Engineering Research Council of Canada, McMaster University 1984
L.N.Vaserstein, Stabilization in algebraic K-theory and the congruence subgroup problem, Thesis, Moscow State Univ. 1968 (see Funk. ... L.N.Vaserstein, On the normal subgroups of GL over a ring, in Lecture Notes in Math. #854,456-465.
Linear algebra over commutative rings - Page 51
By B R McDonald
Vaserstein, On K -theory of topological ... Recently, K. 0ennis, B. Magurn, and L. Vaserstein (Generalized Euclidean Group Rings, to appear in J. reine Angev. Math.) ...
Introduction to Commutative Algebra and Algebraic Geometry - Page 100
By Ernst Kunz
Vaserstein
Penn State, Department of Mathematics
Vaserstein
Positive Semigroups of Operators and Applications - Page 384, 390
O. Bratteli, P.E.T. Jørgensen - 1984
Vasershtein, L. N.: 'Processes over Denumerable Products of Spaces Describing
Algebraic K-theory, number theory, geometry, and analysis: - Page 51, 54, 193, 228, 249
proceedings of the international conference held at Bielefeld, Federal Republic of Germany, July 26-30, 1982
Springer 1984 Volume 1046 of Lecture notes in mathematics
[6] L.N. Vasershtein, "Stabilization for the Milnor ...
Vaserstein
Kinetic Theories and the Boltzmann Equation - Page 63
Lectures Given at the 1st 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at Montecatini, Italy, June 10-18, 1981, Issue 1048
Centro Internazionale Matematico Estivo Springer-Verlag, 1984 - 243 pages LNM 1048
Cellular automata: - Page 50, 51
proceedings of an interdisciplinary workshop, Los Alamos, New Mexico 87545, USA, March 7-11, 1983
Vasershtein
Stochastic analysis and applications: - Page 37
proceedings of the international conference held in Swansea, April 11-15, 1983
Aubrey Truman, David Williams - 1984
Dobrushin later extended this theorem, replacing the total variation by the Vasserstein distance between probability ...
If we take the usual metric |c-n| on the real line, the Vasserstein distance of two probability measures n1 , ir„ on <3 (F) can
1985 12 books
Proceedings of the seventh Conference on Probability - Page 220
Aug. 29 - Sept. 4, 1982, Braşov, Romania
Marius Iosifescu, Tiberiu Postelnicu, Serban Grigorescu - 1985 - 674 pages
Time series in the time domain - Page 125
Edward James Hannan, Paruchuri R. Krishnaiah, Malempati Madhusudana Rao - 1985 - 490 pages
Papantoni-Kazakos and Gray (1979) proposed the use of the Vasershtein distance on P(X"). The Vasershtein distance utilizes a so-called 'per-letter' metric d = d{xt,
Interacting particle systems - Page 176, 486
Thomas Milton Liggett - 1985 - 488 pages
Vasershtein, L. N. 1969 Markov processes over denumerable products of spaces, describing large systems of automata. Problems ...
Vasershtein, L. N. and Leontovich, A. M. 1970 Invariant measures of certain Markov operators describing a
Science education in global perspective: lessons from five countries - Page 187
Margrete Siebert Klein, Floyd James Rutherford - 1985 - 231 pages
Reviews in K-theory, 1940-84: as printed in Mathematical reviews Page 12, 108
Bruce A. Magurn - 1985 - 811 pages
Topology proceedings - Volume 10 - Page 140, 150
Auburn University Mathematics Department and the Institute for Medicine and Mathematics at Ohio University, 1985
Vaserstein
Statistics and control of stochastic processes - Volume 2 - Page 377
Chetvertai︠a︡ Mezhdunarodnai︠a︡ Vilʹni︠u︡sskai︠a︡ konferent︠s︡ii︠a︡ po teorii veroi︠a︡tnosteĭ i matemeticheskoĭ statistike, Vilʹni︠u︡s, 24-29 ii︠u︡ni︠a︡ 1985: A-Z [rom - Page 320, 321
Wasserstein metric
Time series in the time domain - Page 125
Vasershtein distance
Cancer treatment reports - Volume 69, Issues 9-12 - Page 1066
National Institutes of Health (U.S.), National Cancer Institute (U.S.), National Cancer Institute (U.S.). Division of Cancer Treatment - 1985
A convenient class of distance functions are the so-called LP Wasserstein metrics, p > 1, which can be motivated as follows. ... If Fz and Fw are two such distributions functions,
then their LP Wasserstein distance is the minimum of computed for ...
Peter F. Swaszek Van Nostrand Reinhold, 1985 - 335 pages
Wasserstein distance
On the Distance between Mixed Poisson and Poisson Distributions
Defense Technical Information Center, 1985 - 20 pages
Estimations and asymptotic expansions for several distances between mixed Poisson and Poisson distributions are given, such as the total variation distance, the
Kolmogrov distance and a specific Wasserstein distance (Fortet-Mourier distance). As an example, the author generalizes and improve results of Vervaat (1969)
on the total variation distance between negative binomial and Poisson
1986 16 items
Regression trees based on rank statistics - Page 22
Mark Robert Segal - Stanford University, 1986 146 pp
Instead of using two-sample statistics, their splitting criteria utilizes Wasserstein metrics.
The IMA volumes in mathematics and its applications - Page 67
University of Minnesota. Institute for Mathematics and Its Applications - 1986 - 394 pages
Wasserstein metric
Markov processes: characterization and convergence - Page 273, 518, 528
Stewart N. Ethier, Thomas G. Kurtz - Willey 1986, 2005 - 534 pages online
The notion of duality given by (4.36) was developed first in the context of infinite particle systems by Vasershtein (I969), Vasershtein and Leontovitch (I970),
Kondagunta Sundaresan, Srinivasa Swaminathan, American Mathematical Society Cont Math 54, - 1986 - 122 pages
It is not difficult to show that relative to the Vasershtein metric (see, e.g., [BF] for definition and basic properties),
Joel E. Cohen, Harry Kesten, Charles Michael Newman - 1986 - 358 pages AMS Cont Math 50
It is not difficult to show that relative to the Vasershtein metric (see, e.g., [BF] for
Group theory, Beijing 1984: - Page 100, 117, 278
proceedings of an International symposium held in Beijing, Aug. 27-Sep. 8, 1984
Tuan Hsio-Fu Springer, 1986 - 403 pages
[59] L. Vaserstein, Stabilization of unitary and orthogonal groups over a ring with involution, Math. USSR Sbornlk, Vol. ... USSR Sbornlk 22, (1971), 271-303- [61] L. Vaserstein, Foundations of algebraic K-theory, Russian Math. Surveys, 31:1 ...
London Mathematical Society lecture note series - Issues 121-122 - Page 14, 26, 29
1986 L.N. Vaserstein
Algebra, mathematical logic, number theory, topology: - Page 167, 169, 175
collection of survey papers : on the 50th anniversary of the institute, Volume 168
Ivan Matveevich Vinogradov American Mathematical Society, 1986 - Mathematics - 266 pages
L.N. Vaserstein
13 Papers in Algebra and Number Theory - Page 55, 105
By Lev I︠A︡kovlevich Leĭfman
I. K. Zhuk, I. Sh. Slavutskiĭ, V. A. Lipnitskiĭ, V. I. Chernousov, O. M. Adamovich, Yu. A. Drozd, V. M. Bondarenko, A. G. Zavadskiĭ, L. A. Nazarova, V. M. Turchin, B. P. Komrakov, A. A. Premet,
T. I. Pirashvili, S. A. Chunikhin, A. A. Kirilyuk, V. P. Rud'ko, and A. S. Rapinchuk
Izv. 6 (1972). Translated by L. N. VASERSTEIN (2) Vol. 128. 1986 On
Algebraic Geometry and Its Applications: - Page 226
Tpуды Ордена Ленина Математического Института Имени В.А.Стеклова
(Proceedings of the Steklov Institute of Mathematics) by S. M. Nikolskii and E. A. Volkov (Oct 1986)
Translated by L.N. Vaserstein
Geometric methods in operator algebras - Page 237
proceedings of the US-Japan seminar, Kyoto, July 1983
Huzihiro Araki, Edward G. Effros Longman Scientific & Technical, 1986 - 439 pages
If t denotes the algebraic functor (Vaserstein, 1976) then we have Theorem. IC(K) = 0. 2. PROOFS Recall that K is a C -algebra and so has a square root operation (Takesaki, 1979)- As a result we see that Yr = K.
Zbl 0632.00012 Araki, H. (ed.); Effros, E.G. (ed.)
Geometric methods in operator algebras. Proceedings of the US-Japan Seminar, Kyoto (Japan), July 1983. (English)
Pitman Research Notes in Mathematics Series, 123. Harlow, Essex: Longman Scientific \& Technical. Copubl. in the U.S. with John Wiley \& Sons, Inc., New York. VII, 439 p.; \sterling 27.00 (1986). MSC2000: *00B25 46-06
Automation and remote control - Volume 47; - Page 692
Consultants Bureau, Consultants Bureau Enterprises, Massachusetts Institute of Technology - 1986
L. N. Vasershtein and E. B. Sherman, "Problems of forming variants in development and specialization of industrial plants in problems of optimum industrial planning,"
Review information, TS-30. Economic-mathematical modeling [in Russian], ...
Empirical processes with applications to statistics - Page 62, 63, 933
Galen R. Shorack, Jon A. Wellner Wiley, May 7, 1986 - 938 pages
Wasserstein distance
Mathematical programming study - Issues 26-30 - Page 182
North-Holland Publishing Company, 1986
Wasserstein metric
Duality in stochastic linear and dynamic programming - Page 218
Willem K. Klein Haneveld Springer-Verlag, 1986 - Business & Economics - 295 pages
Wasserstein metric
Probability and mathematical statistics - Volumes 7-9 - Page 113
Państwowe Wydawnictwo Naukowe, 1986
Wasserstein
1987 13 books
VIII International Congress on Mathematical Physics: - Page 723
July 16-25, 1986, Marseille, France
M. Mebkhout, R. Sénéor - 1987
L.N. Vasershtein, Prob. Inform. Transm. 5, 64 (1969); O.E. Lanford III, in Statistical Mechanics and Mathematical Problems (Lecture Notes in Physics #20), ed. A. Lenard (Springer, Berlin, 1973). 39. M. Aizenman and R.
Theory of Linear Operations: S. Banach ;
English Translation by F. Jellett Elsevier, 1987 - 237 pages
Yuri I Lyubich, Leonid N Vaserstein - 1993 - Geometriae Dedicata ...
Serge Lang Springer, Jan 26, 1987 - 296 pages
Vaserstein
Introduction to signals and systems
Edward W. Kamen Macmillan Pub. Co., Jan 1, 1987 - 634 pages
Vaserstein
Integer matrices as sums of squares ; and, Matrices as sums of kth powers
David R. Richman, Centre for Research in Algebra and Related Fields
Carleton University, Mathematics and Statistics, 1987 - 15 pages
Vaserstein
Probability, random variables, and random signal principles
Peyton Z. Peebles McGraw-Hill, 1987 - 349 pages
Vaserstein
Statistical data analysis based on the L1-norm and related methods - Page 181
Yadolah Dodge - 1987 - 464 pages
It has origins in the papers of Kantorovich [lo] and Vasershtein [23] and it was introduced to mathematical statistics by Sudakov [17] and Zolotarev [24] ...
The status of Soviet civil science: - Page 38
proceedings of the Symposium on Soviet Scientific Research, NATO Headquarters, Brussels, Belgium, September 24-26, 1986
Craig Sinclair - M. Nijhoff, 1987 -- 289 pages
Vasershtein
Percolation theory and ergodic theory of infinite particle systems - Page 126
Harry Kesten - 1987 - 323 pages
Thus (Y£(t))t>0 is Cauchy in distribution (in, say, the Vasserstein norm based on the Skorohod metric on path space) and hence converges in distribution to a process which we denote by Y(t). (In fact, it is not difficult to simultaneously realize all ...
Number theory :- Page 357
proceedings of the 1985 Montreal conference held June 17-29, 1985
H. Kisilevsky, J. Labute, Canadian Mathematical Society - 1987 - 466 pages
Vaserstein's theorem
Statistics & decisions: Volume 5 1987 Akademische Verlagsgesellschaft, 1987
New perspectives in theoretical and applied statistics - Page 447
Madan Lal Puri, José Pérez Vilaplana Wiley, Mar 12, 1987 - 544 pages
Wasserstein distance
Proceedings of Groups: St. Andrew's 1985 - Page 3, 14, 29, 262
edited by E. F. Robertson, Colin Matthew (London Mathematical Society Lecture Note Series 121)
Cambridge University Press (February 27, 1987)
USSR Izvestia I\_ (l977), 22l-238. 23. L.N. Vaserstein, Kj-theory and the congruence problem. Math. iJotes 5 (l969) , l4l-l48. 24. L.N. Vaserstein, On the stabilization of the general linear group over a ring, Math. USSR Sb. jl (l969), 383-400.
1988 21 books
Encyclopaedia of Mathematics: C - Page ii
Michiel Hazewinkel - 1988
... F. Takens, R. J. Takens, N. M. Temme, S. H. Tijs, B. Trakhtenbrot, L. N. Vaserstein, M. L. J. van de Vel, F. D. Veldkamp, P. M. B. Vitanyi, N. J. Vlaar, H. A. van der Vorst, J. de Vries, F. Waldhausen, B. Wegner, J. J. O. O. Wiegerinck, J. Wiegold, ...
Classical Dirichlet forms on topological vector spaces
Closability and a Cameron-Martin Formula
Sergio Albeverio, Michael Röckner - 1988 - 53 pages
Contractions in the 2-Wasserstein Length Space and Thermalization ...
José A Carrillo, Robert J McCann, Cédric Villani - 2006 - Archive for Rational Mechanics and Analysis
Normal subgroups of gauge groups
L. N. Vaserstein Max-Planck-Inst. f. Mathematik, 1988 - 26 pages
Normal subgroups of symplectic groups over rings
L. N. Vaserstein Max-Planck-Inst. f. Mathematik, 1988 - 34 pages
Annual report - Page 33, 37, 43
Cornell University. Dept. of Mathematics 1988
An introduction to linear programming and game theory
Paul R. Thie Wiley, Mar 8, 1988 - 396 pages
Vaserstein
Zbl 0691.60031 Fiebig, Doris Über very weak Bernoulli-Prozesse mit schnellen Raten. (On very weak Bernoulli processes with fast rates). (German)
Göttingen: Univ. Göttingen, Math.-Naturwiss., Diss. 77 S. (1988). MSC2000: *60G10 28D05, Reviewer: E.Slud
Wasserstein distance
Zbl 0659.60044 Kirschfink, Heribert Konvergenz von Verteilungen von Summen abhängiger Zufallsvariablen in verschiedenen Wahrscheinlichkeitsmetriken mit Ordnungen.
(Convergence of distributions of sums of dependent random variables in different probability metrics with order). (German)
Aachen (FRG): Technische Hochschule Aachen, Mathematisch- Naturwissenschaftliche Fakultät, viii, 121 S. (1988). MSC2000: *60F05 60B10 60B05, Reviewer: L.Hahn
Wasserstein metric
MR0978631 Karpilovsky, Gregory Unit groups of classical rings. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1988. xiv+370 pp. ISBN: 0-19-853557-0 (Reviewer: Carl Riehm) 20C05 (11R27 11R33 12E15 16A25)
Probability, random processes, and ergodic properties - Page 283, 288, 295
Robert M. Gray - Springer-Verlag, 1988 295 pp ISBN0387966552, 9780387966557
In the optimal transportation literature, the German spelling of Vasershtein, Wasserstein, also caught on as a suitable name for the Monge/Kantorovich distance and remains so. The Monge/Kantorovich optimal cost provides a distortion or ...
Zbl 0644.60001 Gray, Robert M.
Probability, random processes, and ergodic properties. (English)
New York etc.: Springer-Verlag. xvi, 295 p. DM 98.00 (1988). MSC2000: *60A10 94A15 60-02, Reviewer: U.Krengel
On a formula for the L_p Wasserstein metric between messures on Euclidean and Hilbert spaces
Matthias Gelbrich Humboldt-Univ., Sekt. Mathematik, 1988 - 26 pages
École d'été de probabilités de Saint-Flour XV-XVII, 1985-87 - Page 193
Persi Diaconis, David Elworthy, Paul-Louis Hennequin - 1988 - 459 pages
For two probability measures n and v on S « C[0,1] , let iJfdn-Jfdv) R(M,w) = sup denote the Vasserstein distance as in Ch. I (2.18);
Group representations in probability and statistics - Page 110
Persi Diaconis Institute of Mathematical Statistics, 1988 - 198 pages
Wasserstein… metric
Journal of statistical planning and inference - Page 5, 6, 22
North Holland, 1988
Wasserstein metric
Reviews in partial differential equations, 1980-86, - Page 1519
as printed in Mathematical reviews, Volume 1
American Mathematical Society - 1988 - 3998 pages
Funaki, Tadahisa (J-NAGO) A certain class of diffusion processes associated with nonlinear parabolic equations. ... op(ui,uj) is a Wasserstein type metric between U|,uj using pth moments and k(r) is a function with / dr/fc2(\/f) divergent at zero.
Encyclopedia of statistical sciences: Volume 9
Samuel Kotz, Norman Lloyd Johnson, Campbell B. Read - 1988
Logarithmic Descriptions of Whitehead Groups and Class Groups for p-Groups - Page 96
By Robert Oliver, Larry Taylor
Memoirs of the American Mathematical Society 1988; 97 pp; softcover Volume: 76
Operator Algebras and Applications: Structure theory, K-theory, Geometry and Topology - Page 54
edited by David E. Evans, Masamichi Takesaki
Vaserstein
Whitehead Groups of Finite Groups - Page 34, 35, 56, 241, 343, 349
By Robert Oliver
Vaserstein
Ring theory. 2 (1988) - Page 26
By Louis Halle Rowen
Vaserstein
Memoirs of the American Mathematical Society - Volumes 392-397 - Page 96
MR0938472 Oliver, Robert; Taylor, Laurence R. Logarithmic descriptions of Whitehead groups and class groups for $p$-groups. Mem. Amer. Math. Soc. 76 (1988), no. 392, vi+97 pp. (Reviewer: Bruce A. Magurn) 18F25 (19A22 19A31 19B28)
Vaserstein
1989 20 books
Tata Institute of Fundamental Research - 1989
If d=3, the Vasserstein symbol was shown to yield an isomorphism of the group of unimodular 3-vectors modulo elementary operations with the symplectic elementary Witt group. Vector bundles of rank at least n—l over the complements, in the ...
Lp-Wasserstein-Metriken [Lp-Wasserstein-Metriken] und Approximationen stochastischer Differentialgleichungen
Matthias Gelbrich, Matthias Gelbrich - 1989
Algebraic K-theory: connections with geometry and topology - Page 519, 549
J. F. Jardine, Victor Percy Snaith - 1989 - 550 pages
Algebraic K-Theory and Algebraic Number Theory: Proceedings of a Seminar held Januaey 12 -16, 1987- Page 449
AMS Cont Math 83
By Michael R. Stein, R. Keith Dennis
Classical Groups and Related Topics: Proceedings of a Conference .in Honor of L.K. Hua - Page 198
AMS Cont Math 82
R.K. Dennis, B. Magum and L.N. Vaserstein, 0eneralized Euclidean group rings, J.Reine Ang. Math. 35l (l9s4), ll3-l2s ...
Penn State, Department of Mathematics, 1989
Encyclopaedia of Mathematics (4) 1989
L.N. Vaserstein
Theory of statistical inference and information - Page 10, 98, 111
Igor Vajda - 1989 - 432 pages
Kantorovich — Vasershtein distance and related functions of measures In this section we apply Theorem (4.35) and other results of Sec. 4 to convex functions of measures defined by means of certain distances of measures.
Theory of statistical inference and information. Transl. from the Slovak by the author. (English)
Theory and Decision Library, Series B: Mathematical and Statistical Methods, 11. Dordrecht etc.: Kluwer Academic Publishers. 432 p. Dfl. 305.00; \$ 149.00; \sterling 95.00 (1989). MSC2000: *62B10 62-01, Reviewer: J.Virtanen
Model theoretic algebra: with particular emphasis on fields, rings, modules - Page 425, 430
Christian U. Jensen, Helmut Lenzing - 1989 - 443 pages
[189] A. A. Suslin and L. N. Vasershtein. Serre's problem on projective modules over polynomial rings and algebraic K-theory. Izv. Akad. Nauk. SSSR,
Stochastic analysis, path integration, and dynamics: - Page 57
emanations from "Summer Stochastics", Warwick 1987
K. D. Elworthy, Jean-Claude Zambrini - 1989 - 265 pages
Wasserstein distance
Dynamical systems and ergodic theory - Page 40
Karol Krzyżewski, Instytut Matematyczny (Polska Akademia Nauk) - 1989 - 479 pages
Wasserstein distance
Probability and mathematical statistics - Volumes 10-11 - Page 312
Wasserstein distance
Stability Problems for Stochastic Models: - Page 170
Proceedings of the 11th International Seminar Held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25-Oct. 1, 1987, Issue 1412
Wasserstein distance
Laboratory, Carleton University, 1989
Wasserstein distance First International Conference on Stochastic Geometry,
Irving Martin Isaacs - 1989 AMS Cont Math 93
L. N. Vaserstein, The structure of classic arithmetic groups of rank greater than one, Math. USSR Sbornik 20 (1973), 465-492.
London Mathematical Society lecture note series - Issues 134-135 - Page 32, 51
1989 ISBN0521369193, 9780521369190
Vaserstein
The classical groups and K-theory - Page 519
We point out that Vaserstein's theory
MR1007302 Hahn, Alexander J.; O'Meara, O. Timothy The classical groups and $K$-theory. With a foreword by J. Dieudonné.
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 291. Springer-Verlag, Berlin, 1989. xvi+576 pp. ISBN: 3-540-17758-2 (Reviewer: James E. Humphreys) 20-02 (11E57 19-02 20G15 20H25)
IMS bulletin - Volume 18, Issues 102-107 - Page 86
nstitute of Mathematical Statistics - 1989
... Uniform large deviation property of the empirical process of a Markov chain R. ARRATIA & M.S. WATERMAN: The ... urn models Juan Antonio CUESTA: Notes on the Wasserstein metric in Hilbert spaces Articles STATISTICAL SCIENCE a ...
MR0999391 Proceedings of Research Symposium on $K$-Theory and its Applications. Held at the University of Ibadan, Ibadan, August 10–15, 1987. Edited by A. O. Kuku and C. Weibel. $K$-Theory 2 (1989), no. 5. This is a Historical Journal, Ann Arbor, MI, 1989. pp. i–ii and 557–673. 18-06 (19-06)
MR0991972 Algebraic $K$-theory and algebraic number theory. Proceedings of the seminar held in Honolulu, Hawaii, January 12–16, 1987. Edited by Michael R. Stein and R. Keith Dennis. Contemporary Mathematics, 83. American Mathematical Society, Providence, RI, 1989. xiv+488 pp. ISBN: 0-8218-5090-3 18F25 (19-06)
1990 17 books
Lecture Notes in Math. 1514
L . N. Vaserstein, On Systems of particles with finite - range and/or repulsive
Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals
S.T. Rachev and R.M. Shortt. google books
Warszawa : Państwowe Wydawn. Naukowe, 1990. 39 pp ISBN 8301099704 9788301099701
Zbl 0718.60057 Gelbrich, Matthias L${}\sp p$-Wasserstein-Metriken und Approximationen stochastischer Differentialgleichungen. $(L\sp p$
Wasserstein metrics and approximations of stochastic differential equations). (German) Berlin: Humboldt-Universität Berlin, Mathematisch- Naturwissenschaftliche Fakultät,
Diss. 77 S. (1990). MSC2000: *60H10 60B10, Reviewer: M.Gelbrich
Bronius Grigelionis - 1990 - 646 pages
Now we define the so-called Vasershtein metric between two probability measures
Number-Theoretic Analysis Seminar, Vienna, 1988-89 - Page 17
Edmund Hlawka, Robert F. Tichy - 1990 - 220 pages
We so get the rate of convergence of a sample path to with regard to the Vasserstein metric cf. [14]: The Vasserstein distance ...
System modelling and optimization - Page 690, 695, 696
proceedings of the 14th IFIP-Conference, Leipzig, GDR, July 3-7, 1989
Hans-Jürgen Sebastian, K. Tammer, International Federation of Automatic Control - 1990 - 960 pages
Wasserstein
Séminaire de mathématiques Rouen: Comptes rendus des séances: - Page 105
septembre 1988-juin 1989
Université de Rouen. Laboratoire d'analyse et modèles stochastiques - 1990 - 180 pages ISBN2877750175, 9782877750172
Wasserstein
Les Annales des sciences mathématiques du Québec: Volumes 14-15 1990 - Page 33
Centre de Recherches Mathématiques, Université de Montréal, 1990
Wasserstein distance
abstracts of papers presented in Uppsala, Sweden, 13-18 August 1990
Bernoulli Society for Mathematical Statistics and Probability. World Congress, Institute of Mathematical Statistics. Meeting
The Institute of Mathematical Statistics and the Bernoulii Society for Mathematical Statistics and Probability, 1990 - Mathematics - 216 pages
Wasserstein distance
Bulletin / Institute of Mathematical Statistics - Volume 19 - Page 412
1990
Wasserstein distance
Séminaire de mathématiques Rouen: Comptes rendus des séances septembre 1988 - Page 105
1990
Cette distance, dite ici de Wasserstein, se généralise aux espaces lP par d(P,Q) - a IX-YI ...
System modelling and optimization: - Page 690, 695
proceedings of the 14th IFIP-Conference, Leipzig, GDR, July 3-7, 1989
Hans-Jürgen Sebastian, International Federation of Automatic Control Springer-Verlag, 1990 - 960 pages
Wasserstein distance
Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis - Page 179, 182
By R. L. Dobrushin, V. I. Kri︠u︡kov, A. L. Toom Manchester University Press, 1990 - 541 pages
Vaserstein
Centre for Mathematical Sciences (Trivandrum, India) Centre for Mathematical Sciences, 1990 - 129 pages
Vaserstein
Israel mathematical conference proceedings - Volume 2 - Page 1, 4, 326
Weizmann Science Press of Israel, 1990 MR1159095
Vaserstein
Topology and combinatorial group theory - Page 90
proceedings of the Fall Foliage Topology Seminars, held in New Hampshire 1986-1988
P. Latiolais Springer-Verlag, Oct 18, 1990 - 207 pages
Vaserstein
I. I. Pi͡atet͡skiĭ-Shapiro, Stephen S. Gelbart, Roger Howe - 1990
Vaserstein
1991 16 books
Gregorij Aleksandrovič Margulis - 1991
In particular, in case rankK G ^ 2, this was proved by Vasserstein [Va 2] for all classical groups and by Raghunathan [Rag 7] for all G. In [Va 2] some results on normal subgroups were also announced, e.g., in case G is a K'-rank 1 classical ...
Ergodic theory and dynamical systems: Volume 11, Issues 3-4
University Press, 1991
École d'été de probabilités de Saint-Flour XIX, 1989 - Page 173, 176
Donald L. Burkholder, Étienne Pardoux, Alain-Sol Sznitman - 1991 - 259 pages
Vaserstein metric, Vasershtein metric
Probability metrics and the stability of stochastic models - Page 249
Svetlozar Todorov Rachev - 1991 - 494 pages
... f |x( - yt\ x, yeM" i=i (13.2.3) see (3.2.2), (3.3.3) and (5.2.18). Remark 13.2.2. Dobrushin (1970) called £x the Vasershtein (Wasserstein) distance.
Advances in probability distributions with given marginals: beyond the copulas - Page 182, 185
Dall'aglio, G.; Kotz, S.; Salinetti, G. (Eds.) 1991, XVIII, 232 p. 5 illus.
Limit theorems and some applications in statistical physics - Page 135
Boris Nahapetian - 1991 - 244 pages
If the sequence of distributions Pa converges to P in a sense of Kantorovich-Vasershtein metric,
Statistics: Volume 22 Taylor & Francis, 1991
Vasershtein
Singularity Theory and Its Applications: Geometric aspects of Singularities - Page 176
Warwick 1989 David Mond, James Montaldi, Mark Roberts - 1991 - 408 pages
Vasershtein
Stochastic orders and decision under risk - Page 310
edited by Karl C. Mosler, Marco Scarsini
Wasserstein distance
Comparison of Statistical Experiments - Page 664
By Erik Torgersen
Wasserstein distance
Probability metrics and the stability of stochastic models - Page 426, 443, 460, 491
Svetlozar Todorov Rachev Wiley, May 13, 1991 - 494 pages
Wasserstein metric, Wasserstein norm
Generators and relations in groups and geometries - Page 44, 120, 123
Adriano Barlotti Kluwer Academic, 1991 - 447 pages
Using the Dennis-Vaserstein results, the bounds in [20] can be greatly improved for large n.
Thirteen Papers in Algebra, Functional Analysis, Tipology and Probability - Page 192
translated by V. Valentin Senderovich Afraimovich AMS 1991
Vaserstein
Groups St Andrews 1989: - Page 375
edited by C. M. Campbell, E. F. Robertson
Vaserstein
Additive number theory of Polynomials over a finite field - Page 11, 153, 157
Gove W. Effinger, David R. Hayes
Oxford University Press, Nov 7, 1991 - 157 pages
Vaserstein
Ichirō Satake - University of Toronto Press, 1991
The vast literature on the Serre conjecture contains many negative and a few special positive results on the problem of extending to vector bundles on X for X regular: one may consult the articles of Horrocks, Swan, Murthy, Vasserstein, Bass, ...
1992 24 books
continuous approximation schemes for stochastic programs - Page 12
john r. birge, liqun qi - 1992
We next use the assumptions to obtain bounds on the Wasserstein metric. ..
Applied Stochastic Analysis: - Page 260
Proceedings of a Us-French Workshop, Rutgers University, New Brunswick, N.J., April 29-May 2, 1991
Ioannis Karatzas, Daniel Ocone - 1992
Cuesta J.A. and Matran C. (1989) Notes on the Wasserstein metric in Hilbert spaces. ... Kantorovich, L.V. and Rubinstein G. Sh. (1958) On the space of completely additive functions, Vestnik LGU, Ser. Mat. ... The distance between two 260.
Abstracts of papers presented to the American Mathematical Society - Volume 13 - Page 332
American Mathematical Society - 1992
Exact convergence rates for the bounded law of the Iterated logarithm in Hilbert space. ... Rate of Convergence of Empirical Measures in the Wassersfein Metric. ... observations from an i.i.d. sequence of rvs in with underlying law P, and let W be the Wasserstein distance (of order 2) between Pn and P. Then, under very mild ...
Lectures on the Coupling Method - Page 177
Torgny Lindvall - 1992 The Vasershtein coupling.
Mathematical Theory of Incompressible Nonviscous Fluids - Page 184
Carlo Marchioro, Mario Pulvirenti - 1993
It can be proved that the topology induced by the metric (3.8) is equivalent to the topology of the weak convergence of the measures.
This metric is called the Kantorovich-Rubistein (K-R) distance (sometimes called the Vasershtein distance).
Atti del Seminario matematico e fisico dell'Università di Modena - Volume 40 - Page 98
Università di Modena. Seminario matematico e fisico - 1992
... R. Herman - L. N. Vasershtein, The stable range of C*-algebras, Invent. Math., 77 (1984), 553-555. [13] E. Hewitt - K. Ross, Abstract harmonic Analysis I, Springer Verlag, Berlin, Heidelberg, New York, 1963. [14] K. Hoffman, Lectures on sup ...
Poisson approximation A. D. Barbour, Lars Holst, Svante Janson - 1992 - 277 pages - Page 17, 254, 274
Wasserstein distance Suppose that the state space is a separable metric space (X,d) equipped with its Borel c-field, and ...
Probability in Banach spaces, 8: - Page 57
proceedings of the eighth international conference, [held at Bowdoin College in summer 1991]
Richard M. Dudley, Marjorie G. Hahn, James Kuelbs - 1992 - 510 pages
Wasserstein distance
From Markov chains to non-equilibrium particle systems - Page 200, 542, 578, 585
Mufa Chen - 1992 - 550 pages
Givens, C. R. and Shortt, R. M.(1984), A class of Wasserstein metrics for probability distributions, Mishigan Math. J. 31 ...
Stochastic approximation and optimization of random systems - Page 56
Lennart Ljung, Georg Ch Pflug, Harro Walk - 1992 - 113 pages
Wasserstein-metric
Stochastic optimization: - Page 118
numerical methods and technical applications : proceedings of a GAMM/IFIP-workshop held at the Federal Armed Forces University Munich, Munich, FRG, May 29-31, 1990
Kurt Marti, Hochschule der Bundeswehr München - 1992 - 182 pages
Wasserstein metric
Automata, languages, and programming: - Page 410
19th International Colloquium, Wien, Austria, July 13-17, 1992. Proceedings
Werner Kuich - 1992 - 719 pages
Numerical solution of stochastic differential equations - Page 607
Peter E. Kloeden, Eckhard Platen - 1992 - 632 pages
If- Wasserstein-Metriken und Approximation stochastischer Differentialgleichungen. Ph. D. thesis, Dissert
Probability and mathematical statistics: Volume 13 - Page 319
Instytut Matematyczny (Polska Akademia Nauk) - 1992
[2] M. Gelbricht, On a formula for the L1 Wasserstein metric between measures on euclidean and Hilbert spaces, Math. Nachr. ...
Algebraic K-Theory, Commutative Algebra, and Algebraic Geomey - Page 196
Proceedings of the U.S.-Italy Joint Seminar Held June 18-24, 1989 at Santa Margheri (Google eBook)
R. Keith Dennis, Claudio Pedrini, Michael R. Stein - 1992
L. N. Vaserstein, The stable range of rings and the dimension of topological spaces. Funk. Anal. 5:2 (1971) ... L. N. Vaserstein, Normal subgroups of the general linear groups over Banach algebras, J. Pure Appl. Algebra 41:1 (1986), 99-112. 6.
Boris Apanasov, Walter D. Neumann, Alan W. Reid - 1992
... Transform Approach - D. Thakur: On Gamma Functions for Function Fields - A. Thiery: Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld - L. Vaserstein: Ramsey's theorem and Waring's problem for algebras ...
Azumaya algebras, actions, and modules: - Page 246
proceedings of a Conference in honor of Goro Azumaya's seventieth birthday : proceedings of a Conference held May 23-27, 1990 with support from the National Science Foundation .
Darrell E. Haile, Gorō Azumaya Darrell Haile James Osterburg - 1992
Replacing 6rj by 6'^6rj we see that P w ©Pj where PI is of rank 1 and Pi for i > 1 is the pullback of (4) and hence isomorphic to A. It remains to prove the lemma. We will deduce it from the following well known result of Vaserstein [V]. LEMMA ...
Svetlana Katok - 1992
I wish to express my appreciation to Peter Sarnak and Leonid Vaserstein for discussions on arithmetic groups. I would like to thank Ozlem Umamoglu and Yves Martin, graduate students from my class at the University of California at Santa ...
Galois Theory, Rings, Algebraic Groups and Their Applications: ... - Volume 183 - Page 35
Simeon Ivanov - 1992
... where the degree of the group is sufficiently large in comparison with the stable rank of the ring, these formulas and even the more precise one were proved by Bass and Vaserstein. The first of the formulas is equivalent to the normality of £(<
Translations. Ser. 2, 154. Selected papers in K-theory - Page 62
American Mathematical Society - 1992
L. N. Vaserstein, Stabilization of unitary and orthogonal groups over a ring with involution. Mat. Sb. 81 (1970), no. 3, 328-351; English transl. in Math. USSR-Sb. 10 (1970). Institute of Mathematics Academy of Sciences of the Belorussian SSR ...
Jean-Louis Loday - 1992
11.2.14 Theorem. For any ring A the connected space X(A) is acyclic (H.(X(A)) = 0) and is simple in dimension > 2. Proof (absence of). The original proof is due to Volodin [1971], see also Vaser- stein [1976]. We refer to Suslin [1981] for a short ...
Partial Differential Equations of Elliptic Type: Cortona, 1992 - Page 132
Angelo Alvino, E. B. Fabes, Giorgio Talenti - 1994
Remark 1 We can define the Kantorovich-Wasserstein distance (see [RR] for example) between po and p\ by setting x (5) Then we get Indeed, / |V*(x) - xfPo(x)dx = I \y-xfvopt(dx,dy) J X ** X x X = \x\2(po(x) + pi(x))dx - 2y.x vopt(dx,dy) J X J X X.X
Sensitivity analysis and optimization of discrete event systems - Volume 39, Issues 1-4 - Page 179
Søren Asmussen, Reuven Y. Rubinstein, Alexander Shapiro - 1992 -
We introduce the Wasserstein distance for probability measures Vi and v2 on the Borel a- algebra of (R, r): r(Vi, V2) :=sup{ < G, Vi ) - < G, v2 > : G is a real function on /? with £(G) ^ 1 } . There is no ambiguity in denoting the distance in R and the ...
MR1196508 The arithmetic of function fields. Proceedings of the workshop held at The Ohio State University, Columbus, Ohio, June 17–26, 1991. Edited by David Goss, David R. Hayes and Michael I. Rosen. Ohio State University Mathematical Research Institute Publications, 2. Walter de Gruyter & Co., Berlin, 1992. viii+482 pp. ISBN: 3-11-013171-4 11-06 (11G09 11R58)
1993 11 books
Pennsylvania State University. Dept. of Mathematics - 1993
K-theory for real C*-algebras and applications - Page 46
Herbert Schröder - 1993 - Snippet view
... and L. Vaserstein [HrV] have shown that sr(>4) and tsr(.4) coincide if A is a C*-algebra. Although the condition of 1.6.2 guarantees weak stability, the size of the stable range depends on far subtler properties of the C*-algebra in question.
Mathematical Theory of Incompressible Nonviscous Fluids - Page 184
Carlo Marchioro, Mario Pulvirenti - 1993 - Preview - More editions
It can be proved that the topology induced by the metric (3.8) is equivalent to the topology of the weak convergence of the measures. This metric is called the Kantorovich-Rubistein (K-R) distance (sometimes called the Vasershtein distance).
Shape recognition using metrics on the space of shapes
David Spotts Fry - 1993 -
Large deviations for discrete-time processes with averaging - Page 115 , 185
O. V. Gulinsky, A. Yu Veretennikov - 1993 - 186 pages
Cellular automata and cooperative systems - Page 453
Nino Boccara - 1993 - 546 pages
Gazette - Australian Mathematical Society: Volumes 20-21
Australian Mathematical Society - 1993
Encyclopaedia of Mathematics (9) - Page ii
Michiel Hazewinkel - 1993
... L. Streit, K. Stromberg, L. G. Suttorp, D. Tabak, F. Takens, R. J. Takens, N. M. Temme, S. H. Tijs, B. Trakhtenbrot, L. N. Vaserstein, M. L. J. van de Vel, F. D. Veldkamp, P. M. B. Vitanyi, N. J. Vlaar, H. A. van der Vorst, J. de Vries, F. Waldhausen, ...
Topological methods in modern mathematics - Volume 3 - Page 55, 83
a symposium in honor of John Milnor's sixtieth birthday, Volume 3
John Willard Milnor, Lisa R. Goldberg, Anthony Valiant Phillips - 1993
Early results of the author [HB2, 3] and Vaserstein [Vasl] showed, under suitable "finite dimensionality" assumptions on A, ... It was later shown by Suslin and Vaserstein that, for A a finitely generated Z(/4)-module, (1) and (2) hold for all n > 3.
MR1242557 Sehgal, S. K. Units in integral group rings. With an appendix by Al Weiss. Pitman Monographs and Surveys in Pure and Applied Mathematics, 69. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1993. xii+357 pp. ISBN: 0-582-23081-0 (Reviewer: E. Jespers) 16U60 (16-02 16S34 20-02 20C05 20C07 20C10 20C12)
On Lower Bounds for the L2-Wasserstein Metric in a Hilbert Space
J. A. Cuesta-Albertos, Carlos Matrán Bea, Universidad de Cantabria - 1993
1994 13 books
Katsumi Nomizu - AMS 1994 ISBN0821875124, 9780821875124
The Vasserstein distance for two probability distributions fi\, fi: on 5, is defined as 2) = sup Also, the oscillation at a coordinate / of a function / on the product space g" is defined as follows S/(/ ) = sup{|/(**) - /(>'*)|/r(.v;,>'*);x* = >** except at the ...
K-theory: Strasbourg, 1992 - Page 412, 414
Colloque international de K-théorie - 1994
A beautiful theorem of L. N. Vaserstein [SV, Corollary 7.4], identifies Um.z(A)/Ez(A), the coset space of unimodular 3-vectors Umz{A) modulo action of the Elementary matrices E${A), with the Symplectic Elementary Witt group We(A) when ...
The Vaserstein symbol V = Va : Umz{A) / E$(A) — ▻ WE(A) is the map [(a,b,c)]~[V(v,w)], where v = (a,b,c), w = (a',b',d) with aa' + bb' + cd = 1. In [SV, Theorem 5.2], L. N. Vaserstein has shown that this map is well defined (i.e. it is independent of ...
MR1297782 (95d:52002) First International Conference on Stochastic Geometry, Convex Bodies and Empirical Measures.
Proceedings of the conference held in Palermo, April 25–May 2, 1993. Edited by M. I. Stoka. Rend. Circ. Mat. Palermo (2) Suppl. No. 35 (1994). Circolo Matematico di Palermo, Palermo, 1994. pp. 1–358.
Juan A. Cuesta-Albertos [Juan Antonio Cuesta] and Carlos Matrán-Bea [Carlos Matrán], Stochastic convergence through Skorohod representation theorems and Wasserstein distances (89–113);
Analysis, Algebra, and Computers in Mathematical Research: - Page 127
Proceedings of the Twenty-First Nordic Congress of Mathematicians
Mats Gyllenberg, Lars Erik Persson - CRC Press 1994 408 pp
[22] D.W. Stroock and S.R.S Varadhan, "Multidimensional Diffusion Processes". Springer- Verlag, Berlin, 1979. [23] A. Szulga, On the Wasserstein metric, Trans. 8th Prague Conference, B, D. Reidel Publishing Company, Dordrecht, Holland, ...
Probability theory and mathematical statistics: - Page 30, 90, 130, 142, 190
Proceedings of the Sixth Vilnius Conference (1993) : Vilnius, Lithuania, 28 June-3 July, 1993
Bronius Grigelionis - VSP 1994 - 742 pages ISBN9067641782, 9789067641784
Wasserstein, L.N. (1969). Markov processes on a countable product
Thus, this coupling means that at each step, the components maintain the same length of jumps with the biggest possible rate. In the time-discrete case, the classical coupling and the basic coupling are due to Doeblin (1938) and Wasserstein ...
Collected works of Pere Menal - Page 245, 436
Pere Menal, Manuel Castellet, Warren Dicks - 1994 - 639 pages
INTRODUCTION Let R be a ring and let I be an ideal of R. In [ 5 ] Vasershtein proves that ...
Mathematical theory of incompressible non-viscous fluids - Page 184, 283
Carlo Marchioro, Mario Pulvirenti - 1994 - 283 pages
Vasershtein distance
Kybernetika: Volume 30 - Page 85
Československá akademie věd. Kybernetická komise, Československá kybernetická společnost - 1994
Vasershtein distance
Algebraic Groups and Number Theory - Volume 139 - Page 606
Vladimir Petrovich Platonov, Andreĭ Stepanovich Rapinchuk - 1994
Vasserstein L. N. [1] “On SL2 over an arithmetic Dedekind ring,” Mat. Sb. 89 2 (1972), 313-322. [2] “On full subgroups of Chevalley groups,” Tohéku Math. J. 37 4 (1985), 423-454. [3] “On arithmetic subgroups of simple algebraic groups,” Linear ...
Discrete Groups, Expanding Graphs and Invariant Measures: - Page 39
Appendix by Jonathan D. Rogawski (Google eBook)
Alex Lubotzky - 1994
To be more precise, Kazhdan announced it only for rank > 3, but it was very quickly realized by Wang [Wanl], Delaroche-Kirillov [DKi] and Vaserstein [Vs] that the same holds for rank > 2 and over every local field. Some of the R-rank one real ...
Commutative ring theory: - Page 73
Proceedings of the Fès International Conference
Paul-Jean Cahen - CRC Press, 1994 - 256 pages
Klingenherg, Lineare Gruppen iiher lokalen Ringen, Amer. J. Math. 83(1961), 137-153. [9] N. H. J. Lacroix, Two-dimensional linear groups over local rings, Canad. J. Math. 21(1969), 106-135. [10] L. N. Vaserstein, On the normal suhgroups of ...
Lecture notes in pure and applied mathematics - Volume 153 - Page 73
Cahen - 1994
J. Math. 83(1961), 137-153. [9] N. H. J. Lacroix, Two-dimensional linear groups over local rings, Canad. J. Math. 21(1969), 106-135. [10] L. N. Vaserstein, On the normal subgroups of GLn over a ring, L. N. S. 854, Springer (1981), 456-465.
The Mathematical scientist - Volumes 19-22 - Page 51, 69, 71
[24] Cuesta-Albertos, J. A., MatrAn, C. and Tuero-Diaz, A. (1993) Optimal maps for the Z. 2 -Wasserstein distance. Preprint. ... (to appear) [26] Cuesta-Albertos, J. A., Ruschendorf, L. and Tuero-Diaz, A.
(1993) Optimal coupling of multivariate distributions and stochastic processes. ... [35] GELBRICH, M. (1990) On a formula for the L2-Wasserstein metric between measures on Euclidean and Hilbert spaces.
1995 13 books
Vector Bundles in Algebraic Geometry: Durham, 1993, Volume 36 - Page 136
Charles Terence Clegg Wall, Nigel J. Hitchin, P. E. Newstead, W. M. Oxbury
CUP Archive, 1995 SBN0521227291, 9780521227292 345 pp
L. Vaserstein
Topics in contemporary probability and its applications - Page 127, 157
James Laurie Snell - 1995 - 380 pages
[42] Vaserstein, Leonid, Markov Processes over Denumerable Products of Spaces, Describing Large Systems of Automata, ... [43] Vaserstein, Leonid and Leontovitch, Andrei, Invariant Measures of Certain Markov Operators Describing a ...
Handbook of incidence geometry: buildings and foundations - Page 1084, 1371
Francis Buekenhout - 1995 - 1420 pages
Canadian Mathematical Society, 1945-1995: Invited papers - Page 52
Canadian Mathematical Society, Peter A. Fillmore - 1995 - 286 pages
Vasserstein
Analysis of censored data - Page 61, 62, 63, 64, 65
by Hira L. Koul and Jayant V. Deshpande (Dec 1995)
Hira L. Koul, J. V. Deshpande, Institute of Mathematical Statistics - 1995 - 291 pages
Wasserstein
Second International Conference on Algebra: Dedicated to the Memory of A.I. Shirshov - Page 14
Leonid A. Bokut, Alekseĭ Ivanovich Kostrikin, Semen Samsonovich Kutateladze - 1995
The theorem over general commutative rings has been investigated by many mathematicians and in particular by L. N. Vaserstein [38, 39]. For the Chevalley groups, some partial solutions have been given by E. Abe [1], E. Abe and K. Suzuki ...
Groups '93 Galway/St Andrews: - Page 605
C. M. Campbell, E. F. Robertson, T. C. Hurley - 1995
The theorem of Dennis and Vaserstein also applies to many other groups such as Q = li_m Aut(F,,) where F,, is the free group of rank n. Is every element of Q a single commutator? Keith Dennis Problem 16. Let {1,p°, . . . ,p'} be a set of powers ...
Number Theory: Fourth Conference of the Canadian Number Theory Association - Page 91
Canadian Number Theory Association. Conference, Dilcher, Karl H. - 1995
Acknowledgement: I am grateful to the referee for providing the references [7], [8], to Koyama, and the reference to Conn and Vaserstein [3], who discover the solution 416396113 + (-41531726)3 + (-8241191)3 = 84. REFERENCES 1. APECS
Acknowledgement: I am grateful to the referee for providing the references [7], [8], to Koyama, and the reference to Conn and Vaserstein [3], who discover the solution 416396113 + (-41531726)3 + (-8241191)3 = 84. REFERENCES 1. APECS
A Primer of Algebraic D-Modules - Page 30
S. C. Coutinho - 1995
This follows an idea of L. Vaserstein and V. Katz; see [Bass, Connell and Wright 82, p.297]. The next section is a digression on results about derivations that will be required in §4. 3.
Different Aspects of Coding Theory: - Page 205
American Mathematical Society Short Course, January 2-3, 1995, San Francisco, California
Robert Calderbank - 1995
Y. I. Lyubich and L. N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs, Report PM 128, Penn. State Univ., Philadelphia PA, 1992. [57] A. L. Mackay, The ...
Columbia University number theory seminar: New York, 1992 - Page 171
Columbia University Number Theory Seminar (, Dorian Goldfeld, Columbia University - 1995
That such questions are topical is clear from the recent work of Batyrev, Duke, Fomenko, Franke, Golubeva, Heath-Brown, Hooley, Iwaniec, Manin, Moroz, Rudnik, Sarnak, Schulze-Pillot, Silverman, Tschinkel, Vaserstein, and others (cf.
Analysis of censored data: - Page 61, 62 63, 64, 65
Proceedings of the Workshop on Analysis of Censored Data, December 28, 1994-January 1, 1995, University of Pune, Pune, India
Hira L. Koul, J. V. Deshpande, Institute of Mathematical Statistics - 1995 - 291 pages ISBN0940600390, 9780940600393
Wasserstein metrics, Wasserstein statistics
1996 11 books
University of Wisconsin--Madison. Department of Electrical and Computer Engineering - 1996
We first follow Jensen (1993b) and give a precise definition of the the metric r and the Vasserstein metric R introduced in Section 3. Let p\ be the discrete metric on ft, i.e, p\{t,s) = 1 if i / s and zero otherwise. Define the symmetric metric p? on ft ...
Distributions with fixed marginals and related topics - Page xvi, 97, 99
DISCRETIZATION FOR STOCHASTIC DIFFERENTIAL EQUATIONS, Lp WASSERSTEIN METRICS, AND ECONOMETRICAL
MR1485518 (98g:60004) Distributions with fixed marginals and related topics. Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Distributions with Fixed Marginals,
Doubly Stochastic Measures and Markov Operators held in Seattle, WA, August 1–5, 1993. Edited by Ludger Rüschendorf, Berthold Schweizer and Michael D. Taylor.
Institute of Mathematical Statistics Lecture Notes—Monograph Series, 28. Institute of Mathematical Statistics, Hayward, CA, 1996. xx+364 pp. ISBN: 0-940600-40-4, 60-06 (62-06)
Random discrete structures - Page 22
Volume 76 of Lecture Notes in Statistics
David J. Aldous, Robin Pemantle - Springer-Verlag GmbH, 1996 - 225 pages ISBN 0387946233, 9780387946238
Identification, adaptation, learning: the science of learning Models from Data - Page 519, 532
Sergio Bittanti, Giorgio Picci, North Atlantic Treaty Organization. Scientific Affairs Division - 1996 - 552 pages
Wasserstein distance
Stochastic modelling in physical oceanography - Page 276, 277
Robert J. Adler, Peter Müller, Boris Lʹvovich Rozovskiĭ - 1996 - 466 pages
Wasserstein metric, Wasserstein case
Mathematics in St. Petersburg - Page 139
Andrej A. Bolibruch, A. S. Merkur'ev, N. Yu Netsvetaev - 1996
L. Vasserstein, On the stabilization of the general linear group over a ring, Mat. Sb. 79 (1969), 405-424; English transl., Math. USSR-Sb. 8 (1969), 383-400. 13. M. Wodzicki, Excision in cyclic homology and in rational algebraic K-theory, Ann.
The Mathematical scientist - Volumes 21-23 - Page 69
1996
[24] Cuesta-Albertos, J. A., MatrAn, C. and Tuero-Diaz, A. (1993) Optimal maps for the Z. 2 -Wasserstein distance. Preprint. [25] Cuesta-Albertos, J. A., MatrAn, C. and Tuero-Diaz, A. (1993) On lower bounds for the L2-Wasserstein metric in a Hilbert space. J. Theor. Prob. (to appear)
[26] Cuesta-Albertos,J.A.,ROschendorf,L. and Tuero-Diaz, A. (1993) Optimal coupling of multivariate distributions and ...
Proceedings of the International Conference, Shijiazhuang '94
B. J. Gardner, Shao-Xue Liu, Rich鈇rd Wiegandt - 1996
In 1980, Warfield [20] characterized the module M such that EndR(M) G srl : EndR(M) G srl iff M satisfies substitution property. In 1971, Vaserstein [18] studied srl condition and obtained the following results: srl condition is left-right symmetric;
Group Theory in China - Page 54
Zhexian Wan, Sheng-Ming Shi - 1996
[39] Magum, B., Van der Kallen, W. and Vaserstein, L., Absolute stable rank and Witt cancellation for non-commutative rings, Inv. Math., 91 (1988), 525-543. [40] O'Meara, O.T., The automorphisms of the orthogonal groups fln(V) over fields, ...
Interaction between functional analysis, harmonic analysis, and probability - Page 286
Nigel J. (Nigel John) Kalton, Elias Saab, Nigel Kalton Elias Saab Stephen Montgomery-Smith - 1996
One can find results on Banach spaces with polynomial norms and on the structure of suhspaces of L^* with fc € N in the papers Reznick (1979), Lyuhich and Vaserstein (1993), Konig (1994). Let us formulate the result of Proposition 6 in the
Masters abstracts - Volume 34, Issues 1-2 - Page 770
University Microfilms International, University Microfilms - 1996
Adviser: Richard Arratia Order Number MA1376449 We discuss the coupon collector's problem: Coupons are of m ... R we compute approximations for the total variation distance d-rv (£(T), £(T')) and the Wasserstein distance dw(£(T), £(r')).
1997 17 books
Model Theory of Groups and Automorphism Groups - Page 90
David M. Evans - 1997
... 0 lemmas relating simplicity properties of an algebraic group G to its restriction G(F) to a pseudofinite field F (§6); 0 a fast though non-effective model-theoretic proof of a result of Matthews, Vaserstein and Weispfeiler on reduction at primes ...
Abstracts of papers presented to the American Mathematical Society - Volume 18 - Page 390
American Mathematical Society - 1997
On the connections between the Wasserstein metric and diffusions.
Encyclopedia of statistical sciences: Update: Volume 1 - Page 518
Samuel Kotz, Campbell B. Read, David L. Banks - 1997 - 582 pages
Differential equations and applications: - Page 109, 117, 118, 120
proceedings of the US-Chinese conference, held in Hangzhou, June 24-29, 1996
P. W. Bates - 1997 - 363 pages
The Wasserstein metric is equivalent to a topology on the ... Finally, we offer an observation about the Tsallis entropy, [37] recently introduced to investigate Levy like super-diffusion and fractal generation.
Geometry of cuts and metrics - Page 34, 161
M. Deza, Monique Laurent - 1997 - 587 pages
Wasserstein
Gaussian Hilbert spaces - Page 207
Svante Janson - 1997 - 340 pages
Wasserstein distance
Real and stochastic analysis: recent advances - Page 217
Malempati Madhusudana Rao - 1997 - 393 pages
Wasserstein metrics
Stochastics and stochastics reports: Volumes 61-62 1997
Gordon and Breach Science Publishers, 1997
Volume 70 of American Mathematical Society Translations Series 2
M. A. Aizerman, D. V. Anosov, V. I. Arnold - 1997 ISBN0821817701, 9780821817704 266 pp
3) F is the group of integral points of a spinor group connected with a quadratic form, in which the number of negative squares, and also the number of positive squares, is not less than two (L. N. Waserstein, in press). In all the cases ...
Modern Theory of Summation of Random Variables - Page 400
Vladimir M. Zolotarev - 1997
Givens, GR, and Schorff, R.M. (1984). A Class of Wasserstein Metrics for Probability Distributions. Dept. Math. ... A generalization to Ornstein's distance with applications to information theory. Ann. Probab. 3, 315-318. Grigorevskii, N.V. (1986).
Mathematics of Stochastic Manufacturing Systems: - Page 221, 223
1996 Ams-Siam Summer Seminar in Applied Mathematics, June 17-22, 1996, Williamsburg,Virginia
Volume 33 of Lectures in applied mathematics, v. 33
G. George Yin, George Yin Qing Zhang - AMS 1997 ISBN0821807552, 9780821807552 399 pp
Wasserstein metric
In fact one may base a distance concept on the existence of couplings: We define the Wasserstein distance r for inner regular probability measures ^i and /i2 on a general metric space (R, r): r(^1,^2) = inf{E(r(Xi,X2)) : (Xi,Xi) is a bivariate ...
Strassen.s construction suggests the close relation between distances of probability measures and coupling constructions. In fact one may base a distance concept on the existence of couplings: We define the Wasserstein distance r for inner regular probability measures ^i and /i2 on a general
metric space (R, r): r(^1,^2) = inf{E(r(Xi,X2)) : (Xi,Xi) is a bivariate random variable (2) with given marginals Xi ...
Stochastic Differential and Difference Equations - Page 336
I Csiszár, György Michaletzky - 1997
[KMW] G. Kallianpur, I. Mitoma and R. L. Wolpert, Diffusion equation in duals of nuclear spaces, Stochastics, 29 (1990), 1-45. [EK] S. ... [Sz] A. Szulga, On the Wasserstein metric, Transactions of the 8th Prague Conference, (1978), 267-273.
Advances in Ring Theory - Page 212, 219
Surender Kumar Jain, S. Tariq Rizvi - 1997
The following lemma is due to Vaserstein M. Let us note that if i, j and k are pairwise distinct integers, and a, b are in our ring, then the commutator [/ + aEij,I + 6F/j^] is equal Lemma 2.2. Let W be any nonzero ideal in (n. Then, for any natural
Projective Modules and Complete Intersections - Volume 1672 - Page 65
Satya Mandal - 1997
Theorem 5.1.1 (Suslin) En(j4) is a normal subgroup of GLn(A) for any integer n > 3. We need the following lemmas to prove Theorem 5.1.1. Lemma 5.1.2 (Vaserstein) Let a be an r x s -matrix and 0 be an 8 x r-matrix. Suppose I + a/3 is in GLr(A) ...
Jean-Louis Loday - 1997
The original proof is due to Vaserstein [1976] and Wagoner [1977]. We refer to Suslin [1981] for a short proof of this technical and important result. D 11.2.15 Corollary. The Volodin space fits into a natural homotopy fibration
Memòria d'activitats: curs 1994-1995 - Page 264
Institut d'Estudis Catalans, Institut d'Estudis Catalans (Barcelona) - 1997
... 175 Vaquero, T. 205 Vaserstein, L. 183 Vayreda, J. 204, 207 Vázquez i García, Merce 119 Veciana Tormo, Robert 144 Veerman, J. J. P. 176, 193 Vegara i Carrió, Josep M. 142 Velickovic, B.
Multivariate approximation: recent trends and results : - Page 26
Proceedings of the 2nd International Conference on Multivariate Approximation Theory Held at Witten-Bommerholz, Germany, September 29-October 4, 1996
Werner Haussmann, K. Jetter, Manfred Reimer - Akademie Verlag, 1997 ISBN3055017706, 9783055017704
Lyubich, L. Vaserstein: Isometric imbeddings between classical Banach spaces, cubature formulas, and spherical designs, Geom. Dedicata 47 (1993), 327-362. [10] B. Reznick: Sums of even powers of real linear forms, Memoirs Amer. Math.
1998 11 books
Luigi Accardi, C. C AUTOR HEYDE - 1998
[10] Cuesta, J. A. and Matran, C. (1994). Stochastic convergence through Skorohod representation theorems and Wasserstein distances. ... The impossible coupling: on hidden variables models in quantum mechanics. Proceedings of the 51st ...
K-Theory for Operator Algebras - Page 290
Bruce Blackadar - 1998
... and Vaserstein 1984] R. H. Herman and L. N. Vaserstein, "The stable range of C*-algebras", Invent. Math. 77:3 (1984), 553-555. [Higson 1983] N. Higson, On Kasparov Theory, M.a. thesis, Dalhousie University, Halifax, 1983. [Higson 1988] ...
Quantum symmetries on operator algebras - Page 129
David E. Evans, Yasuyuki Kawahigashi - 1998
(Herman and Vaserstein 1984) have shown that (for C* -algebras) topological stable rank is the same as Bass stable rank and (Villadsen (preprint 1997)) has shown that for each n € N, there is a simple C* -algebra of topological stable rank n.
Markov processes and related fields - Volume 4 - Page 70
1998
... (x,y) = A^(y,x) pm(y) Pm(z)' and apply the previous results. We omit details. Proposition 6.3 is proved. □ The Vaserstein distance. For any x and x' in [0, £] we set (7.1) and then we define the Vaserstein distance D,t(<m(n, u) of. 70 A. De Masi, ...
Mass Transportation Problems: Volume I: Theory - Page 404, 442, 469, 481
Svetlozar Todorov Rachev, Ludger Rüschendorf - 1998 - 508 pages
Wasserstein norm
llUllu U#(<P) (separable) metric space 92 333 shift operator 65, 390 SkorohodI Lebesgue metric 34 97 dual form of SP(P1> P2) 97 measure space 36 392 ... optimal value 252 total variation distance in X(IRd) 134 optimal value of the dual problem 253 absolute pseudomoment
194 105 Brownian motions 278 LP-Wasserstein metric / LP-Kantorovich metric 40 354 transposed function 172 “output” fiow 71 ...
On a formula for the L2-Wasserstein metric between measures on Euclidean and Hilbert spaces. Math. Nachr., 147:185— 203, 1990.
Encyclopedia of biostatistics: SPI-Z, Index: Volume 6 - Page 4569
Peter Armitage, Theodore Colton - 1998 - 690 pages
Microsurveys in discrete probability: DIMACS workshop, June 2-6, 1997 - Page 32, 39
David J. Aldous, James Propp - 1998 - 220 pages
Springer, Lecture Notes in Mathematics, vol. 1117. [3] Arratia, R. (1996) Independence of small prime factors: total variation and Wasserstein metrics, insertions ...
Methods in ring theory: proceedings of the Trento conference - Page 168
Vesselin S. Drensky, A. Giambruno, Sudarshan K. Sehgal - 1998 - 314 pages
[97] L.N. Vaserstein, On the group SLo over Dedekind rings of arithmetic type, Math. USSR Sbornik 18 (1972), 321-332.
[98] L.N. Vaserstein, The structure of classic arithmetic groups of rank greater than one, Math. USSR Sbornik 20 (1973),
Automorphic forms and representations - Page 119
Daniel Bump 1998 - 574 pages It is a deep theorem of Vaserstein (1972) that the Hilbert modular group is always generated by these elements, so this ...
Although we cannot prove Vaserstein's result in these notes, we will show that it is true for K = Q(\/5) (Exercise 1.10.1), ...
Zbl 1138.35002 Santambrogio, Filippo
Variational problems in transport theory with mass concentration. (English)
Tesi. Scuola Normale Superiore Pisa (Nuova Serie) 4. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Dissertation). xxxii, 198~p. EUR~18.00/net; SFR~30.00; \$~24.95; \sterling~14.00 (2007). MSC2000: *35-02 90B20 49N60, Reviewer: Giuseppe Buttazzo (Pisa)
Wasserstein distances
Alberto Facchini - 1998, 2012 - 285 pages
Then sr(C(X)) = sr(C∗(X)) = dim(X) + 1 [Vasershtein]. Hence the stable range of the
1999 20 books
J. Azema, M. Emery, M. Ledoux - 1999
Nachr., 147:185-203, 1990. Givens, C. R., and Shortt, R. M . A class of Wasserstein metrics for probability distributions. Michigan Math. J., 31:231-240, 1984. GOLDSTEIN, S. Maximal coupling. Z. Wahrscheinltchkeitstheor. Verw. Geb., 46:193- ...
Monge Ampere Equation: Applications to Geometry and Optimization : - Page 2, 4, 82, 87, 95, 96, 102, 103
NSF-CBMS Conference on the Monge Ampère Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University
Luis A. Caffarelli, Mario Milman - AMS 1999 - 172 pages ISBN0821809172, 9780821809174
More precisely they show that the heat equation is the gradient flow of the Dirichlet integral with respect to the L2 distance as well as the gradient flow of the entropy with respect to the Wasserstein distance. A weighted combination of these ...
Surgery on Compact Manifolds - Page 297
CTC Wall, A Ranicki - 1999 -
C. T. C AUTOR WALL, A. A AUTOR RANICKI - 1999 - Preview - More editions
[VI] VASERSTEIN, L. Stability of the unitary and orthogonal groups over rings with involution. Math. S6. 81 (1970), 328-351.
Metric structures for Riemannian and non-Remannian spaces:
based on "Structures métriques des variétés Riemanniennes"
Gromov Springer, Springer, 1999 - 585 pages ISBN0817638989, 9780817638986
Contractions in the 2-Wasserstein Length Space and Thermalization
Current developments in mathematics, 1997 - Page 86
Raoul Bott, Arthur Jaffe, S. T. Yau - 1999
diffusion. An interesting emerging theme in much current research is the interplay between Monge-Kantorovich mass transform ... Preparatory to describing this procedure, let us first define for the functions /+, /" € V the Wasserstein distance ...
Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem - Issue 653 - Page 4
Lawrence C. Evans, Wilfrid Gangbo - 1999
The resulting distance and its variants are called the Monge-Kantorovich-Rubinstein-Wasserstein-etc. metrics; see Rachev [R] ... We can consequently interpret the limit of (1.21) as p — » oo as an "infinitely fast/infinitely slow" diffusion limit (cf.
Shape recognition via Wasserstein distance - Page 1, 5, 9,34, 35
Wilfrid Gangbo, Robert J. MacCann - 1999 - 34 pages
Abstract. The Kantorovich-Rubinstein-Wasserstein metric ...
Séminaire de probabilités XXXIII - Page 381, 385
Jacques Azéma, M. Emery, Michel Ledoux - 1999 - 418 pages
[2] Abdellaoui, T., et Heinich, H. Sur la distance de deux lois dans le cas vectoriel. C. R. Acad ... 3] Aldous, D. J. Shift-coupling. ... 6] Cuesta-Albertos, J. A., and Matran, C. Notes on the Wasserstein metric in Hilbert spaces. ...
J. A., Matran, C, and Tuero-Diaz, A . On lower bounds for the i2-Wasserstein metric in a Hilbert space.
Stochastic dynamics - Page 402
Hans Crauel, Matthias Gundlach - 1999 - 440 pages
This extension will be achieved by a combination of Wasserstein metric and weighted Sobolev norm estimates.
René Carmona, Boris Rozovskii - 1999 - 334 pages -
Let Lip(Rd) = {/ : Rd -> K : \f(*)-f(v)\ < k-y|, l/MI < i, v*,y e Rd}. if w e MF(Rd), d^v) = sup{ \n(f)-v(f) I : / £ Lip(Ud)} denotes the Vasserstein metric.
Monge Ampère equation: applications to geometry and optimization : - Page 2, 4, 82, 87, 95, 96, 102, 103
Applications to Geometry and Optimization : NSF-CBMS Conference on the Monge Ampère Equation, Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University
Luis A. Caffarelli, Mario Milman - 1999 - 172 pages Volume 226 of Contemporary mathematics - American Mathematical Society ISBN0821809172, 9780821809174
-Interpolation of the L2 and the Wasserstein distances. When two densities P0 and pr must be compared, it is very natural to use the Wasserstein distance.
However, sometimes, the simpler L2 distance : (1-18) d/Xpo, Pr)2 = j \po(x) - pr(x)fdx ...
Recursive partitioning in the health sciences - Page 94, 95
Heping Zhang, Burton Singer - 1999 - 226 pages
Wasserstein distance
RAIRO.: Modélisation mathématique et analyse numérique : - Page 837, 838, 849, 860
M2N. Mathematical modelling and numerical analysis, Volume 33, Pages 651-1319
Association française pour la cybernétique économique et technique, Centre national de la recherche scientifique (France), Société de mathématiques appliquées et industrielles - 1999
We can introduce a Wasserstein metric for this purpose. ... is the metric we shall introduce (the Wasserstein metric). ... is the classical convection diffusion
Algebra, K-Theory, Groups & Education: - Page 112, 124, 216, 237
On the Occasion of Hyman Bass's 65th Birthday
Hyman Bass, T. Tsit-Yuen Lam, Andy R. Magid - 1999
88, Birkhauser, 1990, pp. 247-435. [Va69] L. Vaserstein, On the stabilization of the general linear group over a ring, Math. USSR- Sb. 8 (1969), 383-400. [Va71] L. Vaserstein, The stable range of rings and the dimension of topological spaces, ...
Difference Sets, Sequences and Their Correlation Properties - Page 46
A. Pott, P. Vijay Kumar, Tor Helleseth - 1999
While constructing the isometric embedding ^ _> gNW+W (see Lyubich and Vaserstein (1993)) he augmented the set of N2/2 lines from Cameron and Seidel (1973) by the standard coordinate frame. This did not increase the set of prescribed
Surgery on Compact Manifolds - Page 297
Charles Terence Clegg Wall, Andrew Ranicki - 1999
[VI] VASERSTEIN, L. Stability of the unitary and orthogonal groups over rings with involution. Math. S6. 81 (1970), 328-351. [Wl] WAGONER, J. B. Smooth and piecewise linear surgery. Bull. Amer. Math. Soc. 73 (1967), 72-77. [lY2] WAGONER
Introduction to the Theory of Games: Concepts, Methods, Applications - Page 126, 326, 339
Ferenc Forgó, Jeno Szép, Ferenc Szidarovszky - 1999
[17] Byrne, C.C. and Vaserstein, L.N., An improved algorithm for finding sad- ...
48 Vaserstein, 128 veto player, 231 von Neumann, 122, ...
Fifth Conference of the Canadian Number Association, August 17-22, 1996, Carleton University, Ottawa, Ontario, Canada
Canadian Number Theory Association. Conference, Rajiv Gupta, Kenneth S. Williams - 1999
A. Bremner, Integer points on a special cubic surface, Duke Math. J. 44 (1977), no. 4, 757-765. 4. W. Conn and L. N. Vaserstein, On sums of three integral cubes, The Rademacher Legacy to Mathematics (University Park, PA, 1992), Contemp.
Wolfgang Krull: gesammelte Abhandlungen - Volume 1 - Page 35
Wolfgang Krull, Paulo Ribenboim - 1999
Dabei hat man zum Beweis von (i) nur ganz elementare Schlußweisen der kommutativen Algebra anzuwenden, (ii) benutzt dagegen das Resultat von Q u i 1 1 e n - Suslin-Vaserstein [32], [40], 1976: Jeder projektive Modul über einem ...
Number theory in progress: - Volume 2 - Page 1128
proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in honour of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Elementary and analytic number theory, Volume 2
Andrzej Schinzel, Kálmán Györy, Henryk Iwaniec - 1999
[A96] Arratia, R., Independence of small prime factors of a uniformly distributed integer : total variation and Wasserstein metrics. Manuscrit, 1996. [AS97] Arratia, R., Stark, D., A total variation distance invariance principle for primes, ...
2000 19 books
Hard Ball Systems and the Lorentz Gas - Page 27
L.A. Bunimovich, D. Szasz - 2000
[Se-Va] A. Semenovich, L. Vaserstein. Uniform estimates on the number of collisions in particles' systems. preprint. [St-1] L. Stojanov. An estimate from above of the number of periodic orbits for semi-dispersed billiards. Comm. Math. Phys. 124
Units in Skew Fields - Page 78
By Ernst Kleinert 2000
Maximal Subgroups of infinite index in finitely generated linear groups, J. of Algebra 69 (1981) 1-23 [MOV] Magurn, B., R. Oliver and L. Vaserstein. Units in Whitehead Groups of Finite Groups, J. of Algebra 84 (1983) 324-360 [MVW] Matthews, ...
Stable paretian models in finance - Page 294
Svetlozar Todorov Rachev, S. Mittnik - 2000
The methods employed are based on the evaluation of drift and diffusion coefficients over grid points. ... method by replacing the increments of the Wiener process by other "simpler" i.i.d. random variables: He uses Lf- Wasserstein metrics
Skorokhod's ideas in probability theory - Page 318
Vladimir Semenovich Koroli͡uk, Vladimir Semenovich Koroli︠u︡k, Nikolaĭ Ivanovich Portenko - 2000 - Snippet view
and let (Xt) and (Xi) be two diffusion processes with L and L as their generators. We show thai the Kantorovich- Wasserstein's distance of these two processes is dominated by C{log[2 + log" (||.4 -.4||L2 )]}-□> where 7 and C are positive ...
Algebra colloquium - Volume 7 - Page 196
Zhongguo ke xue yuan. Shu xue yan jiu suo - 2000
[66] L.N. Vaserstein, Stabilization of unitary and orthogonal groups over a ring, Math. USSR Sbornik 10 (1970) 307-326. [67] L.N. Vaserstein, On normal subgroups of GL„ over a ring, in: Algebraic K-Theory, Lecture Notes in Mathematics,
Polynomial Automorphisms: And the Jacobi Conjecture - Page 263
A R P Van Den Essen - 2000
A first relationship with rings of differential operators was found by Vaserstein and Kac. They observed that if every ^-endomorphism of the n-th Weyl Algebra A„ is surjective, then JC(k, n) follows! It was later remarked by the author that in fact ...
Algorithmic Number Theory: - Page 62, 63
4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings
Volume 1838 of Lecture Notes in Computer Science
Wieb Bosma - 2000
[CV] Conn, W., Vaserstein, L.N.: On sums of integral cubes. Pages 285-294 in The Rademacher legacy to mathematics (University Park, 1992), Contemp. Math. 166, AMS 1994.
[PV] Payne, G., Vaserstein, L.N.: Sums of three cubes. Pages 443-454 in The Arithmetic of Function Fields, de Gruyter, 1992. [S] Stahlke, C: Algebraic curves over (Q) with many rational points and minimal automorphism group. Lnternational
Advances in Steiner Trees - Page 13
Ding-Zhu Du, J.M. Smith, J. Hyam Rubinstein - 2000
17] Y.I. Lyubich and L.N. Vaserstein, Isometric Embeddings between Classical Banach Spaces, Cubature Formulas, and Spherical Designs, Geome- triae Dedicata, 47(1993), pp. 327-362. 18] CM. Petty, Equilateral sets in Minkowski space, ...
An Introduction to Superprocesses - Page 130
Alison Etheridge - 2000
The Wasserstein metric on MF (R . ) is given by , v) = sup {|{0, ft)-(4,,v}\:4,€ Lip (Rd) } . REMARK 7.3. For any metric space, (S,d), we can define the corresponding Wasserstein metric on Mp(S) in an obvious way. The topology induced on Mp(S) ...
Sorting: a distribution theory - Page 174
Hosam Mahmoud Mahmoud - 2000 - 394 pages
An introduction to superprocesses - Page 130
Alison Etheridge - 2000 - 187 pages
Wasserstein metric
Suid-Afrikaanse statistiese tydskrif: Volumes 34-35 - Page 192
South African Statistical Association - 2000
Wasserstein distance
Probability for statisticians - Page 114
Galen R. Shorack - Springer 2000 - 585 pages ISBN0387989536, 9780387989532
Exercise 3.4 (Wasserstein distance) For k = 1 or 2, define Fk {F : F is a df, and ...
MR1764176 (2001m:60043) Graf, Siegfried; Luschgy, Harald Foundations of quantization for probability distributions. Lecture Notes in Mathematics, 1730.
Springer-Verlag, Berlin, 2000. x+230 pp. ISBN: 3-540-67394-6 (Reviewer: Kalev Pärna), 60E99 (60F25 62H05 94A12)
Coupling, stationarity, and regeneration - Page 56
Hermann Thorisson - 2000 - 517 pages
Information theory: 50 years of discovery: Volume 1 - Page 37, 49, 739
Sergio Verdú, Steven W. McLaughlin, IEEE Information Theory Society - 2000
Vasershtein
Development of mathematics 1950-2000 - Page 1299
Jean-Paul Pier - 2000 - 1372 pages
Vasershtein L.N., Foundations of algebraic K-theory, 89-156.
Selected Works of Ilya Piatetski-Shapiro - Page 154, 283
Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro, James Wesley Cogdell, S. Semen Grigor'evich Gindikin - 2000
is the group of integral points of a spinor group connected with a quadratic form, in which the number of negative squares, and also the number of positive squares, is not less than two (L. N. Waserstein, in press). In all the cases considered ...
C. Anantharaman-Delaroche, Jean Renault - 2000
[L-V] Lyubich, Y.I. and L.N. Vasserstein. Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs. Geom. Dedicata 47 (1993), 327-362. [M] Martinet, J. Les reseaux parfaits des espaces euclidiens.
2001 13 books
Geometric And Combinatorial Aspects Of Commutative Algebra - Page 224
Jürgen Herzog, Gaetana Restuccia - 2001 - Preview
As mentioned, the special case of Theorem 6 for free commutative monoids is due to Suslin [8] (the case of a trivial monoid being the Bass-Vaserstein classical results on surjective KI stabilizations, see Ch. 5, §4 in [1] and [11]). In [4] we have
Ramanujan: Essays and Surveys - Page 253
Bruce C. Berndt, Robert A. Rankin - 2001
R. Gar-el and L. Vaserstein, On the Diophantine equation a3 + b3 + c3 + d3 = 0, J. Number Thy. (to appear).
Codes On Euclidean Spheres - Page 533
T E O Ericson, Victor Zinoviev - 2001
Y.I. Lyubich and L.N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs, Geom. Dedic., Vol. 47, pp. 327-362, 1993. A.L. MacKay, The packing of three-dimensional spheres on the ...
A First Course in Noncommutative Rings - Page 300
Tsi-Yuen Lam - 2001
If we assume the result of Vaserstein in Ex. ( 1 .25), it will follow that left and right stable range 1 are equivalent properties. ... To show that it is not essential here to assume Vaserstein's result, we shall continue to work with the notion of left ...
Large deviations and idempotent probability - Page 74, 266, 472, 496, 497
Anatolii Puhalskii - 2001 - 500 pages
Wasserstein
Hyperbolic problems: theory, numerics, applications ; - Page 179
Eighth International Conference in Magdeburg, February/March 2000, Volume 1
Michael Fey, Heinrich Freistühler, International Conference on Hyperbolic Problems - Springer 2001 - 472 pages
Wasserstein distance
Probability and statistical models with applications - Page 64, 65
Ch. A. Charalambides, Markos V. Koutras, N. Balakrishnan - 2001 - 624 pages
establishing asymptotic results is the Kolmogorov distance (instead of the Wasserstein or the total variation distance).
Stochastics in finite and infinite dimensions: in honor of Gopinth Kallianpur - Page 241
G. Kallianpur, Takeyuki Hida - 2001 - 410 pages ISBN0817641378, 9780817641375
Wasserstein metric
Stochastic processes: theory and methods - Page 106
D. N. Shanbhag, Calyampudi Radhakrishna Rao - 2001 - 967 pages
Noncommutative Noetherian rings - Page 443
John C. McConnell, James Christopher Robson, Lance W. Small - 2001 - 636 pages
8.5 (a) A good source for the topics in the first half of the section is [Suslin 81] where it is noted that 5.8(h) is due to Vaserstein, (b) The second half, concerning matrices, originates from [Vaserstein 71] where, in particular, 5.17 appears.
Universite de Paris VII publications mathematiques: Volume 92
Institut des hautes études scientifiques (Paris, France) - 2001
Research in stochastic programming - Page 69, 70, 72
John R. Birge, N. C. P. Edirisinghe, W. T. Ziemba - 2001 - 306 pages
Wasserstein distance
State of the art in probability and statistics: - Page 483, 498
Festschrift for Willem R. Van Zwet
Mathisca de Gunst, Chris Klaassen, A. W. van der Vaart - 2001 - 616 pages
Wasserstein distance
2002 20 books
M. I. Vishik, M. S. Agranovič, M. Mikhail Aleksandrovich Shubin - 2002
KPS01] the author of this paper and his collaborators developed a coupling approach to study the systems under ... acting in the space of probability measures, given the Kantorovich(-Wasserstein) metric, defines a contraction of this space.
S. Friedlander, D. Serre - 2002
For instance, if W stands for the Wasserstein distance (244), then solutions of (273) satisfy ∫ +∞1 W ( f(t),f S(t) ) dt = +∞. ... Quantum kinetic theory Very recently, Lu [328], Escobedo, and Mischler [210,211] have begun to apply the techniques ...
An Algebraic Introduction to K-Theory - Page 348
Bruce A. Magurn - 2002 - Preview - More editions
The theorem (10.15) of Vaserstein. presented below, shows these are isomorphisms for n > sr(R). As with the surjective stability theorem of Bass, we only present a special case of Vaserstein "s theorem here. The general form of hoth theorems ...
FUSION 2002 - Volume 5 - Page 150, 151, 155
Proceedings of the ... International Conference on Information Fusion, Volume 5
International Society of Information Fusion, Institute of Electrical and Electronics Engineers - 2002
Conclusions In this paper we have borrowed the concept of Wasserstein distance from theoretical statistics to introduce what we believe is the first comprehensive L,type theory of distance metrics for ...
Distributions With Given Marginals and Statistical Modeling - Page 61
Carles M. Cuadras, Josep Fortiana, José A. Rodríguez-Lallena - 2002 - Preview
1996) that the square of the L2-Wasserstein distance between two probabilities is greater than or equal to the sum of the squares of the distances ... Tarpey, T. and B. Flury (1996), 'Self-Consistency: A Fundamental Concept in Statistics'. Statist.
Distributions with given marginals and statistical modelling - Page v, vii, ix, xxi, 50, 51, 52, 55, 57, 61, 244
Carlos María Cuadras, Josep Fortiana, José A. Rodríguez-Lallena - 2002 - 244 pages
Wasserstein distance
Real analysis and probability - Page 425 , 438, 553
Richard M. Dudley - 2002 - 555 pages
Wasserstein distance
Goodness-of-fit tests and model validity - Page 327, 328, 507
Catherine Huber-Carol - 2002 - 507 pages -
Wasserstein distance
Contemporary combinatorics - Page 29, 88
Béla Bollobás - 2002 - 301 pages
Springer, Lecture Notes in Mathematics, vol. 1117.
R. ARRATIA* How much dependence is there in the prime factorization of a random integer distributed uniformly from 1 to n? ... respect to total variation distance, considering only small components, and with respect to a Wasserstein distance, considering ... of changes — insertions and deletions — needed to change the dependent system into an independent system. ... A corollary of this construction is the first metric bound on the distance to the Poisson-Dirichlet in Billingsley's 1972 ...
Proceedings of the International Congress of Mathematicians: ... - Volume 1 - Page 185
Daqian Li - Higher Education Press, 2002 - 2439 pages -
a) It was pointed out by Otto, that the Wasserstein metric can be used to describe
Partial differential equations: Mark Vishik's seminar - Page 162
M. I. Vishik, M. S. Agranovich, Mikhail Aleksandrovich Shubin - 2002 - 278 pages
Wasserstein
Handbook of stochastic analysis and applications - Page 264
Kannan, V. Lakshmikantham - 2002 - 763 pages
Wasserstein metric
Numerical methods and stochastics: Volume 1999 - Page 56
T. J. Lyons, Thomas Stephenson Salisbury - 2002 - 121 pages
Wasserstein distance
'
Decision making under uncertainty: energy and power - Page 41
Claude Greengard, Andrzej Ruszczyński - 2002 - 154 pages
Wasserstein dis-
Lectures on the coupling method - Page vi, 38, 41, 177, 255, 256
Torgny Lindvall - 2002 - 272 pages
Vasershtein coupling
Lectures on probability theory and statistics: - Page 307
Ecole d'Ete de Probabilites de Saint-Flour XXIX - 1999
Erwin Bolthausen, Edwin Arend Perkins, A. W. van der Vaart - 2002 - 466 pages
Lecture notes in mathematics, 1781 ISBN: 978-3-540-43736-9 (Print) 978-3-540-47944-4 (Online)
Sankhyā: methods and techniques: Volume 64, Pages 509-901
Statistical Publishing Company, 2002
Geometric Analysis and Nonlinear Partial Differential Equations - Page 483
Stefan Hildebrandt, Hermann Karcher - 2002
The Dobrushin approach is based on a comparison of these measures for different boundary conditions in the Kantorovich(- Ornstein-Rubinstein-Vasserstein) metric
Higher Franz-Reidemeister Torsion - Page 4
Kiyoshi Igusa - 2002
It is a theorem of Wagoner and Vasserstein best explained by Suslin [SusS1], [Sus82] that the higher Volodin A'-theory of R also gives the usual algebraic A'-theory groups of R as defined by Quillen.
Serge Lang - 2002
We give here a simplification of Suslin's proof b> Vaserstein, also using a previous result of Horrocks.
MR1878556 Lang, Serge Algebra. Revised third edition. Graduate Texts in Mathematics, 211. Springer-Verlag, New York, 2002. xvi+914 pp. ISBN: 0-387-95385-X 00A05 (15-02). Lang.djvu 7MB
2003 24 items
Leonid Nison Vaserstein, 瓦泽斯坦利奥尼德·尼森, Christopher Cattelier Byrne - 2003 - No preview
本书覆盖了线性规划的基本主题, 同时包含许多高级主题。通过不同难易程度的习题, 为学生提供逐步提高的机会, 并使优秀的学生完成更具挑战性的任务.
Alexander Lubotzky, Dan Segal - 2003
However, different versions of this important result have been proved in [Nori 1 987] , [Mathews, Vaserstein k, Weisfeiler 1984], [Weisfeiler 1984] and [Hrushovski & Pillay 1995], and we would like to illustrate three quite different ways of ...
Записки научных семинаров ПОМИ: - Volumes 304-307 - Page 224
Математический институт им. В.А. Стеклова. С.-Петербургское отделение - 2003
W. van der Kallen, B. Magurn, and L. N. Vaserstein, Absolute stable rank and Witt cancellation for non-commutative rings. — Invent. Math. ... L. N. Vaserstein, Normal subgroups of orthogonal groups over commutative rings. — Amer. J. Math.
Ultrametric Functional Analysis: - Page 70, 73, 74
Seventh International Conference on P-Adic Funcional Analysis, June 17-21, 2002, University of Nijmegen, The Netherlands
Volume 319 of Contemporary mathematics - American Mathematical Society
Wilhelmus Hendricus Schikhof, C. Pérez García, Alain Escassut - 2003 ISBN0821833200, 9780821833209 422 pp
( abc)-Theorems for entire functions and polynomials In [34] and [37] Mason and Vaserstein considered the afec-problem for polynomials. In [26] P. C. Hu and C.-C. Yang gave a solution to the abc-problem in the set of p-adic entire functions in ...
Applicable Mathematics In The Golden Age - Page 243
J. C. Misra - 2003
... by W^A) and W(A) respectively. Moreover, the surjective map W^A) to W(A) is a group homomorphism. Keeping the above notation in mind, we state the following beautiful theorem of Vaserstein ([S-V], Theorem 5.2 (d)) which says that if dim ...
Mathematical Methods in Computer Vision - Page 85
Peter J. Olver, Allen Tannenbaum - 2003
D. Fry, Shape Recognition Using Metrics on the Space of Shapes, Ph.D. Thesis, Harvard University, 1993. ... W. Gangbo and R. McCann, "Shape recognition via Wasserstein distance," Technical Report, School of Mathematics, Georgia ...
Advanced Medical Statistics - Page 1041
Ying Lü, Ji-Qian Fang - 2003
Use of the difference I begin the introduction of splitting rules with the use of Wasserstein metrics to measure the between-nodes distributional ...
Exercises in Classical Ring Theory - Page 17
T.Y. Lam - 2003
Ex. 1.2,'i. (Vaserstein) Let a, b, c be such that ab + c = 1 in a ring R. If there exists x C R such that a + ex C U(/?), show that there exists y € /? such that; 6 + T/c C
Solution. Write u = a + ex C U(/?). We claim that the element y : = (1 - 6x)u-1 works,
Introduction to linear programming
Leonid Nison Vaserstein, Christopher Cattelier Byrne - 2003
This book makes Linear Programming easily accessible to any reader, regardless of his or her mathematical background.
Logarithmic combinatorial structures: a probabilistic approach Richard Arratia, A. D. Barbour, Simon Tavaré -- Page 67, 68, 185, 279, 359
IBN3037190000, 9783037190005
Wasserstein distance
Zbl 1040.60001 Arratia, Richard; Barbour, A. D.; Tavaré, Simon
Logarithmic combinatorial structures: A probabilistic approach. (English)
EMS Monographs in Mathematics. Zürich: European Mathematical Society (EMS). xi, 363~p. (2003). MSC2000: *60-02 05-02 05A05, Reviewer: Hsien-Kuei Hwang (Taipei)
Review in MR 2032426 (2004m:60004)
Wasserstein distances
Topics in optimal transportation - Page 264, 357, 368
Cédric Villani - 2003 - 370 pages
Kinderlehrer, D., and Walkington, N. J. Approximation of parabolic equations using the Wasserstein metric. M2AN Math. Model. Numer. Anal. 33, 4 (1999), 837–852.
Challenges in scientific computing--CISC 2002: proceedings of the conference - Page 32, 33, 36
Eberhard Bänsch - 2003 - 285 pages
Wasserstein
Mathematical aspects of evolving interfaces: - Page 2 , 5, 16, 28, 49
Lectures Given at the C.I.M.-C.I.M.E. Joint Euro-Summer School Held in Madeira, Funchal, Portugal, July 3-9, 2000, Issue 1812 (Google eBook)
Luigi Ambrosio, Pierluigi Colli, José-Francisco Rodrigues - 2003 - 243 pages Lecture notes in mathematics (Springer-Verlag) ; 1812
Wasserstein distance
Spin glasses: a challenge for mathematicians: - Page 548, 554
Cavity and Mean Field Models, Volume 46
Michel Talagrand - 2003 - 586 pages ISBN3540003568, 9783540003564
Cooperative control: models, applications, and algorithms - Page 248
Sergiy Butenko, Robert Murphey, Panos M. Pardalos - 2003 - 364 pages
Multidisciplinary research in control: - Page 135 , 141
The Mohammed Dahleh Symposium 2002
Laura Giarré, Bassam Bamieh, Mohammed A. Dahleh - 2003 - 229 pages
W. Gangbo and R. McGann, “Shape recognition via Wasserstein distance,” Technical Report, School of Mathematics, Georgia ...
Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 2-8, 2001, Issue 1813
Luigi Ambrosio, Luis A. Caffarelli, S. Salsa - 2003 - 171 pages Volume 1813 of Lecture Notes in Mathematics ISBN354040192X, 9783540401926
Wasserstein metric
IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains - Page 39, 40
Christian Miehe - 2003 - 478 pages
Wasserstein metric
Evolution equations: - Page 362
Applications to Physics, Industry, Life Science and Economics : Eveq2000 Conference in Levico Terme (Trenton, Italy) October 30-November 4, 2000 (Google eBook)
Mimmo Iannelli, Günter Lumer - 2003 - 423 pages
Wasserstein distance
Geometric analysis and nonlinear partial differential equations - Page 657
Stefan Hildebrandt, Hermann Karcher - 2003 - 673 pages -
Recent advances and trends in nonparametric statistics - Page 124 , 137
Michael G. Akritas, Dimitris N. Politis - 2003 - 512 pages
theorems for the Wasserstein distance between the empirical and the true distributions,
Trends in nonlinear analysis - Page 189
Markus Kirkilionis - 2003 - 419 pages
The author uses the Wasserstein metric. He gets an evolution ...
RAIRO.: Modélisation mathématique et analyse numérique : - Page 78, 79, 80
M2N.. Mathematical modelling and numerical analysis, Volume 37, Pages 1-556
Dunod, 2003 Association française pour la cybernétique économique et technique, Centre national de la recherche scientifique (France), Société de mathématiques appliquées et industrielles
One of these metrics is known as the Vasershtein distance [19,32]. ... The Vasershtein distance between n and v can be rewritten as the L2-distance of the
Handbook of Algebra - Volume 3 - Page 196, 540
Michiel Hazewinkel - 2003
L. Vaserstein, On the stabilization of the general linear group over a ring, Math. USSR-Sb. 8 (1969), 383–400. L. Vaserstein, The stable range of rings and the dimension of topological spaces, Funktsional. Anal. i Prilozhen. 5 (1971), 17–27 (in
2004, 34 books
Thomas M. Liggett - 2004
Vasershtein, L. N. 1969 Markov processes over denumerable products of spaces, describing ... When I wrote this book twenty years ago, it was 486 Bibliography.
asymptotic profiles, equilibration rates and qualitative properties.
File Format: PDF/Adobe Acrobat
José A. Carrillo. Instituci`o Catalana de. Recerca i ...
Paris 2004
in honour of Kiyosi Itô
Kiyosi Itō, H. Kunita, Shinzō Watanabe - 2004
to Ito Calculus, hence also to the problems originating from Physics, quantum chemistry, large deviations, etc. ... Note that inf { J(0) : 0 € E(p, v)} is the square of Wasserstein metric dj{(p,v) with respect to the Cameron-Martin space H. Any ...
2004
The canonical choice for a d-sensitivity matrix is: C,j{f) = sup — , j<i, (4.11) and Cij(f) = 0 otherwise. Here || • ||d is the Vasserstein- Kantorovich- Rubin- o stein distance and ft ( • | £) is the restriction of each singleton measure to If d is the discrete ...
Analele Universității din Craiova: Seria Matematică, informatică - Issues 31-32 - Page 44
Universitatea din Craiova. Faculty of Mathematics & Informatics, Universitatea din Craiova. Faculty of Mathematics and Computer Science - 2004 - Snippet view - More editions
1 in terms of the law of the process Xt by introducing the Wasserstein distance Wk, k being a positive integer (see [1]). For k = 1, the Wasserstein distance W\ between two measures \i and v can be defined as the dual of the \.]\iP-norm: Wx{n,u) ...
Stochastic inequalities and applications - Page v, 33, 34, 278, 279 , 281, 283, 285, 287, 289, 293, 295
Evarist Giné, Christian Houdré, David Nualart - Springer, 2004 - 365 pages ISBN3764321970, 9783764321970
In the present paper we modify d(Fn, F) into a finite quantity for all F by an adaptation of the notion of trimming from statistics, and study the asymptotic distributions of these trimmed Wasserstein distances for appropriate classes of distribution ...
Partial Differential Equations and Inverse Problems: - Page v, 144, 145, 147, 160, 161, 162, 163, 164, 170, 172, 186
Pan-american Advanced Studies Institute On Partial Differential Equations, Nonlinear Analysis And Inverse Problems, January 6-18, 2003, Santiago, Chil
Issue 362 of Contemporary Mathematics Series
Carlos Conca - American Mathematical Soc., 2004 - 410 pages ISBN0821834487, 9780821834480
More precisely, one can estimate the Wasserstein distance by computing directly the equation for the pseudo-inverse of the distribution function. This technique has been recently applied to general diffusion equations (see the review paper ...
From Markov chains to non-equilibrium particle systems - Page 8, 173 , 542
Mufa Chen - 2004 - 597 pages 2nd edition
Vallender, S. S.(1973), Calculation of the Wasserstein distance between probability distributions on line, Theory Prob.
Nonlinear differential equation models - Page 190, 191, 192
Ansgar Jüngel - 2004 - 192 pages
Commun Math Phys 203: 667-706 [26] Vasershtein LN (1969) Markov processes on countable product space describing large systems of automata (in Russian).
Summer School On Mass Transportation Methods In Kinetic Theory And Hydrodynamics, September 4-9, 2000, Ponta Delgada, Azores, Portugal
Volume 353 of Contemporary Mathematics Series
Maria da Conceição Vieira de Carvalho, José-Francisco Rodrigues - American Mathematical Soc., 2004 - 109 pages ISBN0821832786, 9780821832783
Wasserstein distance, Wasserstein metric
Applied mathematics entering the 21st century: - Page 37, 38, 47
Invited Talks from the ICIAM 2003 Congress
James M. Hill, Ross Moore - SIAM, 2004 - 413 pages ISBN0898715598, 9780898715590
... dissipative equations (porous medium equations, lubrication equations, limited flux diffusion equations, granular flow equations,...) were discovered to be gradient flows of some suitable functionals with respect to the Wasserstein distance.
A modern treatment of this problem was initiated by Kantorovich in 1942, based on a probabilistic approach to reduce it to an infinite dimensional linear program. ... and the related concept of Wasserstein distance, as referred, for instance,
in the recent book by Rachev and Riischendorf.
Numerical mathematics and advanced applications: proceedings of Enumath 2003 - Page 574, 577
Miloslav Feistauer - 2004 - 863 pages
Wasserstein distance
Free boundary problems: theory and applications - Page 285
Pierluigi Colli, Claudio Verdi, Augusto Visintin - 2004 - 346 pages
Operations research proceedings 2003: - Page 381, 382, 383
Selected Papers of the International Conference on Operations Research (Or 2003) Heidelberg, September 3-5 2003 (Google eBook)
Dino Ahr, Roland Fahrion, Marcus Oswald - 2004 - 490 pages
Wasserstein metric
Discrete geometric analysis: - Page 147
Proceedings of the First JAMS Conference, Discrete Geometric Analysis, December 12-20, 2002, Sendai, Japan (Google eBook)
Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada - 2004 - 258 pages
Wasse rstein distance
Unusual applications of number theory: - Page 96
Dimacs Workshop, Unusual Applications of Number Theory, January 10-14, 2000, Dimacs Center (Google eBook)
Melvyn B. Nathanson - 2004 - 264 pages
Wasserstein
Young measures on topological spaces: with applications in control theory and probability theory. (English) - Page vii, 77
Charles Castaing, Paul Raynaud de Fitte, Michel Valadier - 2004 - 320 pages
Zbl 1067.28001 Castaing, Charles; Raynaud de Fitte, Paul; Valadier, Michel
Young measures on topological spaces. With applications in control theory and probability theory. (English)
Mathematics and its Applications (Dordrecht) 571. Dordrecht: Kluwer Academic Publishers. xii, 320~p. (2004). MSC2000: *28-02 28A33 28C15, Reviewer: Riccardo De Arcangelis (Napoli)
Parametrized Lévy-Wasserstein distances
The space Lip^ef) can be ... 3.4. PARAMETRIZED LEVY-WASSERSTEIN DISTANCES 77.
Advances in survival analysis - Page 57
Balakrishnan, Calyampudi Radhakrishna Rao - 2004 - 795 pages
Wasse rstein distances
Functional analysis and its applications: - Page 46
Proceedings of the International Conference on Functional Analysis and Its Applications, Dedicated to the 110th Anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine, Issue 197
ladimir M. Kadet͡s͡, Wiesław Żelazko, Stefan Banach - Elsevier, 2004 - 326 pages ISBN0444513736, 9780444513731
Wasse rstein distances
Handbook of computational statistics: concepts and methods - Page 830
James E. Gentle, Wolfgang Härdle, Yuichi Mori - 2004 - 1070 pages
IMPROVED RESULTS ON POISSON PROCESS APPROXIMATION IN JACKSON NETWORKS
Aihua Xia (Chief Investigator), Tim Brown (Australian National University) and Mark Fackrell (The University of Melbourne)
Rings and things and a fine array of twentieth century associative qlgebra - Page 136, 370
Carl Clifton Faith - 2004 - 475 pages
This answered a question of Handelman and Vasershtein, and the proof required a theorem of Vasershtein [71].
Eigenvalues, Inequalities, and Ergodic Theory - Page 35
Mu-Fa Chen - 2004
When 7 is a distance, EX.y7(X«, Yt) is nothing but the Wasserstein metric W = W\ with respect to 7 of the distributions at time t.
Discrete Geometric Analysis: - Page 147
The First JAMS Conference, Discrete Geometric Analysis, December 12-20, 2002, Sendai, Japan
Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada - 2004 ISBN0821833510, 9780821833513
Let (X,d) be a crystal lattice with the graph distance d. ... 2-Wasserstein distance.
Rendiconti Lincei: Matematica e applicazioni - Page 327
Accademia nazionale dei Lincei. Classe di scienze fisiche, matematiche e naturali - 2004
Advances in mathematical sciences and applications - Volume 14, Pages 1-712 - Page 153, 154, 155, 158
Gakkōtosho, 2004
1.2 Gradient flow and Wasserstein distance The notion of gradient flow, or steepest descent, only has meaning when an appropriate metric is defined on the manifold. Consequently, a certain evolution problem can be given different gradient
Dynamics and Randomness - Page 193
Alejandro Maass, Servet Martínez, Jaime San Martín - 2004
We endow C^ with the uniform metric and P(C^) with the Vaserstein metric ( f i, v) = inf < / d(x, y) A l)R(dx, dy)\ R has marginals // and compatible with the topology of the weak convergence. Hence By Proposition 4.13, and (4.32) lim E (d (((T1, ...
Seminar of Mathematical Analysis: - Page 117
proceedings, Universities of Malaga and Seville (Spain), September 2003-June 2004
Genaro López Acedo, Rafael Villa Caro - 2004
Lyubich, L. Vaserstein, Isometric imbeddings between classical Ba- nach spaces, cubature formulas, and spherical designs, Geom. Dedic. , 47 (1993), 327-362. 16] V.D. Milman, A
Group Theory: Selected Problems - Page 30
B. Sury - 2004
ASIDE This proof is due to Vaserstein.
Rings And Things And A Fine Array Of Twentieth Century Associative Algebra - Page 345, 370
Carl Clifton Faith - AMS 2004
Geometric Aspects of Functional Analysis: Israel Seminar 2002-2003 - Page 192
Vitali D. Milman, Gideon Schechtman - 2004
I., Vaserstein, L.N.: Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs. Geom. Dedicata, 47, 327-362 (1993) [M] Milman, V.D.: A few observations on the connections between local theory and ...
Unsolved Problems in Number Theory - Page 151, 152, 216
Richard Guy - 2004
Barry Cipra, Science, 239(1988) 464; and James Glieck, New York Times, 88-04-17. Rachel Gar-el k. Leonid Vaserstein ...
S. G. Dani, Gopal Prasad, Tata Institute of Fundamental Research - 2004
Following the ideas of Bass, Milnor and Serre, L. Vaserstein proved this, by a case-by-case analysis, for most of the classical groups. In his first, and very important, paper [17] on the congruence subgroup problem, Raghunathan proved the ...
Nanjing da xue xue bao: - Volume 21 - Page 196, 197, 200
2004
and only if R/JCR) satisfies stable range one (see Vaserstein [7]) . Thus a ring R is u- nit semiregular if and only if R is a weakly unit-regular ring and idempotents can be lifted modulo J(i?) . The following lemma dues to [3, Lemma 3.
2005, 24 items
J.A. Carrillo, G. Toscani, Wasserstein metric and large--time asymptotics of nonlinear diffusion equations, New Trends in Mathematical Physics, (In Honour of the Salvatore Rionero 70th Birthday), 234-244, 2005.
Gradient Flows: In Metric Spaces and in the Space of Probability Measures - Page 1, 329
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré - 2005
V.Bogachev kindly pointed out to us that the correct spelling of the name Wasserstein should be “Vasershtein” [124] and that the attribution to Kantorovich and Rubinstein is much more correct. We kept the attribution to Wassertein and the
Zbl 1090.35002 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
Gradient flows in metric spaces and in the space of probability measures. (English)
Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vii, 333~p. EUR~34.24 (2005). MSC2000: *35-02 49-02 49J40, Reviewer: Giuseppe Buttazzo (Pisa)
Operator Algebras: Theory of C*-Algebras and von Neumann Algebras - Volume 13 - Page 501
Bruce Blackadar - 2005
Birkhauser Verlag, Basel, 2002. [Vas69] L. N. Vaserstein. On the stabilization of the general linear group over a ring. Math. USSR-Sb., 8:383-400, 1969. [vD82] Alfons van Daele. Celebration of Tomita's theorem. In Operator References 501.
Commutative Algebra and Algebraic Geometry: Joint International - Page 18, 29, 120
Joint International Meeting of the American Mathematical Society and the Indian Mathematical Society on Commutative Algebra and Algebraic Geometry, Bangalore, India, December 17-20, 2003
Sudhir R.. Ghorpade, Hema Srinivasan, Jugal Verma - 2005 Volume 390 of Contemporary mathematics - American Mathematical Society
Vaserstein, LN..; Suslin, A.; Serre's problem on projective modules over polynomial rings, and algebraic A'-theory.
L.N. Vaserstein also gave an alternative approach to the Local-Global analysis by a ...
Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians - Page 211
Steven George Krantz - 2005
One need only imagine the three of them, often fully clothed, laid out side by side. j/Wathematician Leonid Vaserstein ... One day there was a seminar being given by a mathematician who had heard nothing of Vaserstein's emigration; but the ...
Current trends in potential theory: - Page 60
conference proceedings, Bucharest (Romania), September 2002 and 2003
Dominique Bakry - 2005
measurable pseudometric, ... We also mention the deep study [10] of the L2 -Wasserstein metric on abstract Wiener spaces related to transportation ...
Kinetic methods for nonconservative and reacting systems - Page 234
Gíuseppe Toscani - 2005
The decay of Wasserstein metric for 7 > 0 We will start the analysis of ...
Eigenvalues, inequalities, and ergodic theory - Page 23, 28, 35, 171 , 215, 220, 221, 222
Mufa Chen - Springer 2005 - 228 pages ISBN1852338687, 9781852338688
Wasserstein distance
Actuarial theory for dependent risks: measures, orders and models: Volume 10 - Page xii
Michel Denuit - 2005 - 440 pages
9.6 Wasserstein distance
Elliptic and parabolic problems: a special tribute to the work of Haim Brezis - Page 405, 437
Haim Brézis, Catherine Bandle - 2005 - 470 pages
RN) as follows: for any number p > 0 we define the Wasserstein distance dp between two probability measures Mi, ^ by the ...
Probability and partial differential equations in modern applied Mathematics - Page 53
Edward C. Waymire, Jinqiao Duan - 2005 - 262 pages
Interacting stochastic systems - Page 305, 307, 308, 309, 318, 321
Jean-Dominique Deuschel, Andreas Greven - 2005 - 450 pages
The space P(M) will always be equipped with the Lθ-Wasserstein distance. .
Seminaire de Probabilites: Volume 38 - Page 320, 322, 324, 333
M Emery, Michel Ledoux, Marc Yor - 2005 - 392 pages
Wasserstein distance
An introduction to Stein's method - Page 80 , 110
A. D. Barbour, Louis Hsiao Yun Chen - 2005 - 225 pages
However, no "magic factors" as good as those in Theorem 2.3 are known. If the total variation distance is replaced by the Wasserstein ^-metric ...
Stein's method and applications: Volume 5 - Page 99, 133
A. D. Barbour, Louis Hsiao Yun Chen, National University of Singapore. Institute for Mathematical Sciences - 2005 - 297 pages
... being of order 0(1) (Arratia, Goldstein & Gordon 1989; Barbour, Hoist & Janson 1992, p. 203). With respect to a more natural Wasserstein distance between point processes, uniform bounds of order 0(X~1cx) for the second differences can ...
Séminaire sur les équations aux dérivées partielles - Page VE-17
Centre national de la recherche scientifique (France), Collège de France - 2005
la fonctionnelle H de Boltzmann : H(fi) = / / log / dvol, où f est la densité de H par rapport au volume ; - la distance de Wasserstein quadratique : W^^i, u) = \/C^JJi^
Variational analysis and applications: Volume 79 - Page 498, 511
Giannessi, A. Maugeri - 2005 - 1184 pages
Kinderlehrer, D. and Walkington, N. (1999) Approximation of parabolic equations based upon Wasserstein's variational ...
Applications of stochastic programming - Page 283, 323
Stein W. Wallace, W. T. Ziemba - 2005 - 709 pages
Philpott, Henderson, and Teirney [13] discuss an alternative approach based on Vasershtein coupling (see [10]), but this is shown to produce unrealistic weather
Applied combinatorics on words: Volume 105 - Page 351, 352
M. Lothaire - 2005 - 610 pages
Wasserstein distance
Ideals and reality: projective modules and number of generators of Ideals - Page vii, 101,, 102, 103, 109, 254, 273, 331, 336, 342
Friedrich Ischebeck, Ravi A. Rao - Springer 2005 - 336 pages ISBN3540230327, 9783540230328
4.5 Vaserstein's Proof of Serre's Conjecture Quillen's proof of Serre's conjecture does not use the fact that projective ... But using this fact and Quillen's ideas, one obtains a remarkably short proof of Serre's conjecture, as L.N. Vaserstein wrote ...
4.5 Vaserstein's Proof of Serre's Conjecture Quillen's proof of Serre's conjecture does not use the fact that projective ... But using this fact and Quillen's ideas, one obtains a remarkably short proof of Serre's conjecture, as L.N. Vaserstein wrote ...
Modern Differential Geometry in Gauge Theories: Maxwell fields - Page 91
Anastasios Mallios - 2005 - 293 pages
V.Bogachev kindly pointed out to us that the correct spelling of the name Wasserstein should be “Vasershtein” [124] and that the attribution to Kantorovich and Rubinstein is much more correct. We kept the attribution to Wassertein and the
Zbl 1090.35002 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
Gradient flows in metric spaces and in the space of probability measures. (English)
Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vii, 333~p. EUR~34.24 (2005). MSC2000: *35-02 49-02 49J40, Reviewer: Giuseppe Buttazzo (Pisa)
Wasserstein metric
[BOOK] Eulerian calculus for the contraction in the Wasserstein distance - Page title
[PDF] from psu.eduF Otto… - 2005 - Citeseer
Abstract. We consider the porous medium equation on a compact Riemannian manifold and
give a new proof of the contraction of its semigroup in the Wasserstein distance. This proof is
based on the insight that the porous medium equation does not increase the size of ...
Methods and applications of analysis - Volume 12 - Page 203
Project Euclid - 2005
This sequence converges weakly, because our distance functional is stronger than the Kantorovich-Waserstein metric which induces the topology of weak convergence on spaces of measures. Therefore, fi„ — UNIQUENESS FOR THE ...
2006 34books
University of Illinois at Urbana-Champaign. Coordinated Science Laboratory - 2006
Proofs using Coupling Techniques A. Coupling Lemma For each fixed x, y € X, let ps(-|x, y) be an optimal coupling of the update rules pg( |x) and ps(-|y) that achieves the Wasserstein distance W(pB(-|x),pB(-|y))- We call the family {ps( |x,y)} the ...
Problems on Mapping Class Groups and Related Topics - Page 36
Benson Farb - 2006
... useful ingredient is a theorem of Grunewald-Mennike-Vaserstein [GMV] which gives free quotients of arbitrarily high rank for the group SL2(Z[i]) and the group SL2(A'[s,i]), where K is an arbitrary finite field. Since we know for g > 3 that Ig is ...
Tutorials in Operations Research: Models, Methods, and Applications for Innovative Decision Making - Page 75
I N F O R M S: Institute for Operations Research & the Management Sciences, Michael P. Johnson, Bryan Norman - 2006 - Preview
... for Innovative Decision Making I N F O R M S: Institute for Operations Research & the Management Sciences, Bryan Norman Michael P. Johnson ... Wasserstein (Kantorovich) Metric Suppose Q is a metric space with metric d. dw(P,P) = sup< ...
ISBN1877640204, 9781877640209
Encyclopedia of Actuarial Science
Hermann Thorisson Published Online: 15 SEP 2006 Coupling - Wiley Online Library
Compstat 2006 - Proceedings in Computational Statistics
17th Symposium Held in Rome, Italy, 2006 Alfredo Rizzi, Maurizio Vichi ISBN: 978-3-7908-1708-9
Chapter Dynamic clustering of histograms using Wasserstein metric IRPINO A, VERDE R, LECHEVALLIER Y
Dependence in Probability and Statistics - Page 156
Patrice Bertail, Paul Doukhan, Philippe Soulier - 2006
Academic Press, Harcourt Brace Jovanovich Publishers, New York, 1980. Probability and Mathematical Statistics. ...
The Wasserstein distance and approximation theorems. Zeitschrift für Wahrscheinligkeits Theorie und Verwandte Gebiete, ...
Advances in Database Technology -- EDBT 2006: - Page 866
10 International Conference on Extending Database Technology, Munich, Germany, 26-31 March 2006, Proceedings (Google eBook)
Yannis Ioannidis, Marc H. Scholl, Joachim W. Schmidt - 2006 ISBN3540329609, 9783540329602
Earlier works (e.g., [6,7]) call it the match distance, and statistics literature uses Mallows or Wasserstein ...
Quantum probability - Page 199, 206
Marek Bożejko, Wojciech Młotkowski, Janusz Wysoczański - 2006
and the Wasserstein distance are useful distances between measures. .
Ph. Biane and D. Voiculescu, A free probabilistic analogue of the Wasserstein metric on the trace-state space, Geom.
Lifting Modules: Supplements and Projectivity in Module Theory - Page 192, 383
John Clark - 2006
Some of the basic properties of stable range 1 appear first in [35], in Vaserstein's [350], [351], and in notes by Kaplansky [187].
The proof of the symmetry of the condition in 15.4 is taken from Goodearl's [129] and, as he says, is adapted from ...
Serre's Problem on Projective Modules - Page 137. 391
T.Y. Lam - 2006
Our exposition of Vaserstein's elementary proof follows the lecture notes of Ferrand's Bourbaki talk [Ferrand: 1976]. ... In the literature, this proof of Serre's Conjecture has sometimes been fondly referred to as "Vaserstein's 8-line proof" (see, ...
Topics on Concentration Phenomena and Problems with Multiple Scales - Page 291
Andrea Braides, Valeria ChiadÚ Piat - 2006
Ambrosio, L.; Gigli, N.; Savar`e, G. Gradient flows in metric spaces and in the Wasserstein spaces of probability measures, Birkhaüser, 2005. 2. ... X. Generation and propagation of interfaces for reaction-diffusion equations, J. Diff. Eq. 96 ...
Analysis, Modeling and Simulation of Multiscale Problems - Page 361
Alexander Mielke - 2006
Semiconductor simulations using a coupled quantum drift-diffusion Schrödinger-Poisson model. SIAM J. Appl. Math. ... A fourth-order nonlinear PDE as gradient flow of the Fisher information in Wasserstein spaces. In preparation, 2006.
Diffusion, quantum theory, and radically elementary mathematics - Page 243
William G. Faris - 2006
... 28 optimal, 141-154 Trotter product formula, 76, 85 twelve-tone row, 215 ultracontractive, 59 variance, 36 Wasserstein distance, 144 Wasserstein space, 149 wave function, 6, 1 1 8 Wick power, 20, 26, 39, 82 Wick product, 39 Wiener bridge, ...
DCDS-B - Volume 6, Pages 1-649 - Page 311
American Institute of Mathematical Sciences - 2006
Weak topology implicit schemes based on Monge-Kantorovich or Wasserstein metrics have become prominent for their ability to solve a variety of diffusion and diffusion-like equations. They are very flexible, encompassing a wide range of ...
Functional Inequalities Markov Semigroups and Spectral Theory - Page 292
Fengyu Wang - 2006
... inf dn, 1( ) 7r€(€(/H/) EXEP which is well-known in probability theory as the L1-Wasserstein distance between /.7 and 1/. ... In the smooth case the Dirichlet form of the diffusion process generated by div(AV) + AVV, which is symmetric in L2(p),
Groups, Rings And Group Rings - Page 136
ntonio Giambruno, César Polcino Milies, Sudarshan K. Sehgal - 2006 -
L.N. Vaserstein, The structure of classic arithmetic groups of rank greater than One, Math. USSR Sbornik 20 (1973),
Markov processes and related fields: Volume 12 Polymat, 2006
Handbooks in Operations Research And Management Science:
Shane G. Henderson, Barry L. Nelson - 2006 - 678 pages
Wasserstein metric
Handbook of differential equations: Evolutionary equations - Page 13, 30, 134
Constantine M. Dafermos, Eduard Feireisl - 2006 - 652 pages
J.A. Carrillo, R.J. McCann and C. Villani, Contractions in the 2-Wasserstein space and thermalization of granular media, Arch. Ration. Mech. Anal. (2006).
In this way we recover in a more general framework the Riemannian interpretation of the Wasserstein distance developed by Otto in [74] (see also [57,73]) and used to study the long time behavior of the porous medium equation. In the original ...
Recent trends in partial differential equations: - Page vii, 1,2, 11, 16, 17, 18, 19, 21, 23, 24, 25, 27, 28, 29, 31, 32
UIMP-RSME Santaló Summer School, July 12-16, 2004 Universidad Internacional Menéndez Pelayo, Santander, Spain
Juan Luis Vázquez, Xavier Cabré, José Antonio Carrillo - 2006 123 pages Volume 409 of Contemporary mathematics - American Mathematical Society ISBN0821838911, 9780821838914
The Wasserstein distance arises as a powerful tool to analyze the asymptotic behaviour of solutions of PDE's of diffusion type, to obtain new general proofs of geometric and functional inequalities and to characterize solutions of shape ...
Nonsmooth mechanics and analysis: theoretical and numerical advances - Page 14 , 16, 18, 19, 20, 320
Alart, O. Maisonneuve, R. Tyrrell Rockafellar - 2006 - 320 pages
Wasserstein distance
A mathematical theory of large-scale atmosphere/ocean flow - Page 103
Michael J. P. Cullen - Imperial College Press, 2006 - 259 pages ISBN186094518X, 9781860945182
Time series and related topics: in memory of Ching-Zong Wei - Page 238
Ching-Zong Wei, Hwai-Chung Ho, Ching-Kang Ing - 2006 - 294 pages
To measure the error of approximation, we use Wasserstein pseudo-metric which has the advantage of allowing us to lift the carrier space to a bigger carrier space. Of course, other metrics such as the total variation distance can also be ...
Dictionary of distances - Page 29, 98, 188, 267, 384, 391
M. Deza Elena Deza, - 2006 - 391 pages
he state space of any unital C *-algebra) of the Kantorovich— Mallows—Monge—Wasserstein metric defined as the Lipschitz ... Let the commutator [D, f] for f G A be the Clifford multiplication by the gradient V f so that its operator norm ||.
Variational problems in materials science - 2 pages
Gianni Dal Maso, Antonio DeSimone, Franco Tomarelli - 2006 - 159 pages
... path functionals over Wasserstein spaces, variational approaches to quasi-
… systems Giuseppe Buttazzo (Universit`adiPisa) Path functionals over
Wasserstein spaces Antonin Chambolle
Data science and classification - Page , 183, 189, 191, 355
International Federation of Classification Societies. Conference, Vladimir Batagelj - Springer 2006 - 358 pages ISBN3540344160, 9783540344162
Wasserstein based
COMPSTAT: proceedings in computational statistics : - Page xvi
17th Symposium Held in Rome, Italy, 2006
lfredo Rizzi, Maurizio Vichi - 2006 - 537 pages
Wasserstein metric
Lectures on the Ricci flow - Page 61
Peter Topping - 2006 - 113 pages
Wasserstein metric
Stochastic partial differential equations and applications--VII - Page 116
Giuseppe Da Prato, Luciano Tubaro - 2006 - 347 pages
In Section 12.5, the results from previous sections are applied to stochastic reaction- diffusion equations. ... norm intermediate between the total variation metric and Wasserstein metric has been obtained for stochastic Navier–Stokes equation.
Handbook of differential equations: evolutionary equations - Page v, 1, 4, 5, 6, 7, 8, 13, 14, 29, 30, 38, 40, 45, 46, 52, 55, 58, 80, 81, 104, 105, 106, 107, 109, 113, 115, 116, 117, 120, 122, 123, 131, 134, 135, 136, 634, 638
Constantine M. Dafermos, Eduard Feireisl - Elsevier, 2006 - 652 pages ISBN0444528482, 9780444528483
Wasserstein distance
Journal de mathématiques pures et appliquées
Joseph Liouville, Henri Amé Résal, Camille Jordan - Gauthier-Villars, 2006
Wasserstein
DCDS-B: Volume 6, Pages 1-649 - Page 311, 313, 325
American Institute of Mathematical Sciences - 2006
Wasserstein metric, Wasserstein space
44th Annual Allerton Conference on Communication, Control, and Computing 2006
Proceedings: Volume 44, Part 2 - Page 913, 915, 917
University of Illinois at Urbana-Champaign. Coordinated Science Laboratory - 2006
Wasserstein coupling
3rd SUMMER SCHOOL ON ''METHODS AND MODELS OF KINETIC THEORY'' (M&MKT 2006)
Porto Ercole (Grosseto, Italy) June 4-10, 2006
Large time asymptotics for nonlinear diffusion and kinetic equations José A. Carrillo
The main goal of this course is to give an overview of the recent ideas of contractivity of Wasserstein and Fourier-type distances applied to the asymptotic behavior of nonlinear diffusion, scalar conservation laws and granular flow models based on kinetic equations with inelastic interactions.
Program:
Lecture 1: Main Models & Basics of Wasserstein Distance
File Format: PDF/Adobe Acrobat - Quick View
Presentation of models. Wasserstein Distance: Basics. Contractivity in 1D. Lecture 1: Main Models & Basics of. Wasserstein Distance. J. A. Carrillo ...
2007 26 books
Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001, Issue 1916
Fraydoun Rezakhanlou, Cédric Villani, François Golse - Springer 2007
in particular ^2(Q+(/, /),M) < W(/,M). Here VK2 is the (improperly called) Wasser- stein distance with exponent 2 W2(f ... 0(e-(A-°)*). (A = spectral gap of the
American Institute of Mathematical Sciences - 2007
[11] U. Gianazza, G. Savar6 and G. Toscani, The Wasserstein gradient flow of the Fisher information and the quantum drift- diffusion equation, Preprint, Universita di Pavia, Italy, (2006). [12] M. P. Gualdani, A. Jiingel and G. Toscani, A nonlinear ...
Topological algebras and applications: - Page 7, 8, 14
5th International Conference on Topological Algebras and Applications, June 27-July 1, 2005, Athens, Greece, Volume 10
Volume 427 of Contemporary mathematics - American Mathematical Society
Anastasios Mallios, Marina Haralampidou - 2007 ISBN0821838687, 9780821838686 442 pp
Amer. Math. Soc. 105 (1962), 264-277. [13] L. N. Vaserstein, Vector bundles and projective modules, Trans. Am. Math. Soc. 294 (1986), no. 2, 749-755.
OPERATIONS RESEARCH, jilid 1 - Page 71
Operation Research jilid 1 / Siswanto -- Jakarta , Erlangga , 2007. xii , 428 hal; 26 cm. ISBN, : 9789797818357. Lokasi, : Perpustakaan Kementerian Keuangan ...
Vaserstein, Leonid Nison, Introduction to Linear Programming, Prentice Hall, New Jersey 2003.
Certain Number-Theoretic Episodes In Algebra - Page v
R. Sivaramakrishnan - 2007
He has also extended this result to a residue class ideal of a number ring. Mn(Z) denotes the ring of n×n matrices with entries from Z. L. N. Vaser- stein has shown that given an integer p and A ∈ M2(Z), one can find matrices X,Y ∈ M2(Z) such ...
Алгебра и анализ: - Volumes 1-3; Volume 19 - Page 50
Академия наук СССР. Отделение математики - 2007
Paris Ser. A-B 283 (1976), A693-A695. Vaserstein L. N., On the normal subgroups of the GL„ over a ring, Algebraic ... Vaserstein L. N., Normal subgroups of orthogonal groups over commutative rings, Amer. J. Math. 110 (1988), no. 5, 955-973.
Scale Space and Variational Methods in Computer Vision: - Page xiii, 698, 705
First International Conference, SSVM 2007, Ischia, Italy, May 30 - June 2, 2007 : Proceedings
Fiorella Sgallari, A Murli, Nikos Paragios - ISBN3540728236, 9783540728238 931 pp
To overcome this issue, we propose to use the Wasserstein distance (Monge-Kantorovich distance) to compare ...
Gröbner Bases in Control Theory and Signal Processing - Page 105
L. N. Vaserstein and A. A. Suslin, Serre's Problem on projective modules over polynomial rings and algebraic if-theory, Math. USSR Izviestija ...
Combinatorics and Probability - Page 82
Graham Brightwell, Imre Leader, Alex Scott - 2007
References [1] Arratia, R. (1996) Independence of prime factors: total variation and Wasserstein metrics, insertions and deletions, and the ... 51 800–832. [14]
Asymptotic methods in nonlinear wave phenomena: - Page 36
In Honor of the 65th Birthday of Antonio Greco, Palermo, Italy, 5-7 June 2006
Tommaso Ruggeri, Marco Sammartino - 2007 - 216 pages
Lectures on empirical processes: theory and statistical applications - Page 44 , 68
Eustasio Del Barrio, Paul Deheuvels, Sara A. Geer - 2007 - 254 pages
5. Tests based on Wasserstein distance
Amplitude equations for stochastic partial differential equations - Page 71
Dirk Blömker - World Scientific, 2007 - 126 pages ISBN9812706372, 9789812706379
Selected contributions in data analysis and classification - Page 134
E. Diday, Paula Brito, Patrice Bertrand - 2007 - 634 pages
Surveys in differential geometry: metric and comparison geometry - Page 233, 237, 240
Jeff Cheeger, Karsten Grove - 2007 - 347 pages
Wasserstein distance
The porous medium equation: mathematical theory - Page 250, 251
Juan Luis Vázquez - 2007 - 624 pages
The idea proposed by F. Otto [413] sees the HE, the PME and other nonlinear diffusion equations as gradient flows in a space of measures endowed with a convenient metric given by the Wasserstein distance, a tool developed in probability ...
Proceedings of the International Congress of Mathematicians:: Volume 2 - Page 618, 623
Madrid, August 22-30, 2006, Volume 1
Marta Sanz Solé - 2007 - 4500 pages Amer Mathematical Society
If we replace the exponent 2 by p e [1 , oo] in the Wasserstein formula (13), we get the Wasserstein non-quadratic distances. ...
Wasserstein distance
Control methods in PDE-dynamical systems - Page 288, 292
Fabio Ancona - 2007 - 404 pages
Wasserstein-metric-based, Wasserstein distance
Meshfree methods for partial differential equations III - Page 6
Michael Griebel, Marc Alexander Schweitzer - 2007 - 306 pages
Wasserstein distance
Modeling, estimation and control - Page 114
Festschrift in Honor of Giorgio Picci on the Occasion of His Sixty-Fifth Birthday
Alessandro Chiuso, Augusto Ferrante, Stefano Pinzoni - 2007 - 355 pages
Combinatorics and probability - Page 56, 82
celebrating Béla Bollabás's 60th birthday
Papers presented at the conference "Combinatorics in Cambridge," held in Cambridge, Aug. 4th-7th, 2003
edited by Graham Brightwell, Imre Leader, Alex Scott, Andrew Thomason - Cambridge University Press, 2007 - 633 pages ISBN0521872073, 9780521872072
Wasserstein distance, Wasserstein metrics
Dynamics in models of coarsening, coagulation, condensation and quantization - Page 39
Weizhu Bao, Jian-Guo Liu - 2007 - 294 pages
Transport phenomena and kinetic theory - Page 35
Applications to Gases, Semiconductors, Photons, and Biological Systems
Carlo Cercignani, Ester Gabetta - 2007 - 271 pages
Perspectives in nonlinear partial differential equations: in honor Haïm - Page 482
Henri Berestycki - 2007 - 495 pages
. L. Ambrosio, N. Gigli, G. Savare, Gradient Flows in Metric Spaces and in the Wasserstein Spaces of Probability Measures, Birkhaiiser, (2005). .
Jahresbericht: Volume 109 Deutsche Mathematiker-Vereinigung - 2007
August Gutzmer, Ernest Wölffing Georg Reimer, 2007
Handbook of Linear Algebra - Page 49-18
... Holmes and T. Y. Tarn 68-1 69 Nonassociative Algebras Murray R. Bremner, Lucia I. Murakami, and Ivan P. Shestakov 69- 1 70 Lie Algebras Robert Wilson 70-1 Applications to Optimization 50 Linear Programming Leonid N. Vaserstein 50-
MR2279160 (2007j:15001) Handbook of linear algebra. Edited by Leslie Hogben. Associate editors: Richard Brualdi, Anne Greenbaum and Roy Mathias.
Discrete Mathematics and its Applications (Boca Raton). Chapman & Hall/CRC, Boca Raton, FL, 2007. xxx+1370 pp.
ISBN: 978-1-58488-510-8; 1-58488-510-6, 15-00 (00A20)
Measure theory: Volume 1 - Page 541, 559
Vladimir Igorevich Bogachev - 2007 - 575 pages
52, 455] [1919] Vasershtein L.N. Markov processes over denumerable products of spaces describing large system of automata. Probl. Peredaˇci Inform. 1969.
2008 30 books
Colin Douglas Hinde - 2008
Let W2(M,m) = (W2(M,m),dw) be the L2-Wasserstein space of probability measures on M absolutely continuous with respect to m ... If no, fii E W2{M, m) the distance between them has ^(^0,^1) = fMxMd2(p,q)du where u, an optimal coupling, ...
American Mathematical Society - 2008
Some probabilistic and topological properties of the free quantum orthogonal group A0(n). The free ... Our proof involves obtaining an Otto-Villani type estimate on the Biane-Voiculescu-Wasserstein distance for free diffusion starting at the ...
Thorsten Sickenberger - 2008
A class of Wasserstein metrics for probability distributions. Michigan Math. ... Sixth quantum 1/F noise and other low frequency fluctuations in electronic devices, volume 371 of AIP conference proceedings, Woodbury, 1993. American Institute ...
Finite Fields and Applications: - Page 61, 77
Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia
Gary L. Mullen, Daniel Panario, Igor E. Shparlinski - 2008
Volume 461 of Contemporary mathematics - American Mathematical Society
[22] L.N. Vaserstein. Waring's problem for algebras over fields, J. Number Theory 26 (1987). 286-298. [23] L.N. Vaserstein, Ramsey's Theorem and Waring's Problem, in The Arithmetic of Function Fields (eds D. Goss and al), de Gruyter.
Intro To The Theory Of Numbers 6E - Page 449
Godfrey Harold Hardy, Edward M. Wright, David Rodney Heath-Brown - 2008
Vaserstein has shown that ν(8) ⩽ 28 (J. Number Theory 28 (1988), 66–68), and A. Choudhry has proved that ν(7) ⩽ 12 (J. Number Theory 81 (2000), 266–9). Both conclusions depend on the existence of remarkable polynomial identities too ...
Variational PDE-based image segmentation and inpainting with Applications in Computer Graphics - Page 8, 35
Kang-Yu Ni, University of California, Los Angeles - ProQuest, 2008 120 pp ISBN0549980636, 9780549980636
The optimal transport distance, commonly called the Wasserstein distance with exponent p, is Wp(p, v) = Tp(n, v)1/p. ... The goal of this work is to understand low-order feature segmentation, which is based on the statistics of image intensity ...
Compstat: Proceedings in Computational Statistics 2008 - Page 88
Paula Brito - 2008
Proceedings in Computational Statistics 2008 Paula Brito. of histogram data. The Mahalanobis–Wasserstein distance and the proposed interdependency measures between histogram variables can be considered as new useful tools for ...
Wasserstein Space Over the Wiener Space
Shizan Fang, Jinghai Shao, Karl-Theodor Sturm - 2008
Séminaire de Probabilités XLI - Page 131, 370
Catherine Donati-Martin, Michel Émery, Alain Rouault - 2008
Wasserstein. distance. F. Bolley Ecole Normale Sup ́erieure de Lyon,
A Level-set Method for Solving Elliptic Eigenvalue Problems on Hypersurfaces, And, Finite-time Blow-up of L(infinity) Weak Solutions of an Aggregation Equation - Page 51
Jeremy Brandman - 2008
Global-in-time solutions of (2.1), with the addition of a density-dependent diffusion used to model repulsion, were studied ...
by viewing solutions as gradient flows in the Wasserstein metric and long-time behavior of solutions was also studied.
Probability theory: a comprehensive course - Page 384
Achim Klenke - 2008 - 616 pages
Wasserstein metric
Recent advances in learning and control - Page 129
Vincent Blondel, Stephen P. Boyd, Hidenori Kimura - 2008 - 277 pages
Wasserstein distance
Mathematical Analysis of Urban Spatial Networks - Page 52 , 53, 180
Philippe Blanchard, Dimitri Volchenkov - 2008 - 181 pages
Wasserstein distance
Gradient flows: in metric spaces and in the space of probability measures - Page 9, 151, 168, 324
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré - 2008 - 334 pages -
E. A. Carlen and W. Gangbo, Constrained steepest descent in the 2- Wasserstein metric, Ann. of Math. ...
Zbl 1145.35001 Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. (English)
Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. vii, 334~p. (2008). MSC2000: *35-02 49-02 49J40
Wasserstein distances;
Proceedings in computational statistics: - Page 86
18th Symposium Held in Porto, Portugal, 2008
Paula Brito, COMPSTAT 18, 2008, Porto, International Association for Statistical Computing - 2008 - 571 pages
Wasserstein distance
Stochastic ordinary and stochastic partial differential equations: - Page 60, 66, 197, 349, 437,
Transition from Microscopic to Macroscopic Equations
Peter Kotelenez - 2008 - 458 pages
Wasserstein distance
Mathematical modeling, simulation, visualization and e-learning: - Page 155, 162
Proceedings of an International Workshop Held at Rockefeller Foundation's Bellagio Conference Center, Milan, Italy 2006
Approximation of parabolic equations based upon Wasserstein's variational principle,
Statistical advances in the biomedical sciences: - Page 268
Clinical Trials, Epidemiology, Survival Analysis, and Bioinformatics
Atanu Biswas - 2008 - 582 pages
Atanu Biswas, Sujay Datta, Jason P. Fine, Mark R. Segal Wiley, Dec 14, 2007 - 640 pages
Bayesian inference and maximum entropy methods in science and engineering - Page 61, 62
28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Boracéia, São Paulo, Brazil, 6-11 July 2008
Marcelo de Souza Lauretto, Carlos Alberto de Bragança Pereira, Julio Michael Stern - 2008 - 384 pages
Asymptotic theory of statistics and probability - Page 486, 707
Anirban DasGupta - 2008 - 722 pages
Kolmogorov's zero-one law, 6 Kolmogorov and Wasserstein metrics, ... 536–537 infinite-order kernels, 537 kernel density estimation consistency of, 533–535 ...
Computational intelligence in decision and control - Page 66
Proceedings of the 8th International Flins Conference : Madrid, Spain, 21-24 September2008
Da Ruan, Javier Montero, Jie Lu - 2008 - 1173 pages
Computational methods in biomedical research - Page 82
Ravindra Khattree, Dayanand N. Naik - 2008 - 408 pages
Wasserstein metric
Data analysis, machine learning and applications - Page xv, xvi , 711
Proceedings of the 31st Annual Conference of the Gesellschaft für Klassifikation e.V., Albert-Ludwigs-Universität Freiburg, March 7-9, 2007
Christine Preisach, Hans Burkhardt, Lars Schmidt-Thieme - 2008 - 719 pages
Last row: Corrected Rand Index (CRI) of the obtained partition compared with the expert partition c L2 Wasserstein Adaptive L2 HausdorffL1 distance ...
Mathematical models of granular matter - Page 70
Gianfranco Capriz, Pasquale Giovine, Alain Barrat - 2008 - 212 pages
Wasserstein distance
Mathematics - key technology for the future: - Page 43
Joint Projects Between Universities and Industry 2004-2007 (Google eBook)
Willi Jäger, Hans-Joachim Krebs - 2008 - 357 pages
Wasserstein metric
Analysis and stochastics of growth processes and interface models - Page 259
Peter Mörters - 2008 - 336 pages
Wasserstein distance
Seminar on Stochastic Analysis, Random Fields and Applications V: - Page 21
Centro Stefano Franscini, Ascona, May 2005
Robert C. Dalang, M. Dozzi, Francesco Russo - 2008 - 519 pages
A stochastic spatial model for invasive plants and a general Theory of Monotonicity for Interaction Map Particle Systems - Page 50
Joseph Patrick Stover, The University of Arizona. Applied Mathematics - 2008
The coupling to follow is essentially the same as the Vasershtein coupling[37] given for spin systems, also known as the basic coupling [23].
An introduction to sequential dynamical systems - Page 242
Henning S. Mortveit, Christian M. Reidys - 2008 - 248 pages
26. L. N. Vasershtein. Markov processes over denumerable products of spaces describing large system of automata.
Statistical Models and Methods for Biomedical and Technical Systems - Page 188
Filia Vonta, Mikhail. Nikulin, Nikolaos. Limnios - 2008
We consider the Kantorovich metric (one of the most-used Vasserstein metrics) /c(/ii, H2) [see Kantorovich (1942)],
2009 30 books
Information Fusion, 2009. FUSION '09. 12th International Conference on
IEEE Conference Publications 2009
Wasserstein distance for the fusion of multisensor multitarget particle filter clouds
[PDF] from isif.orgD Danu, T Kirubarajan… - Information Fusion, 2009. …, 2009 - ieeexplore.ieee.org
12th International Conference on Information Fusion Seattle, WA, USA, July 6-9, 2009
Abstract In a multisensor multitarget tracking application, the evaluation of the cost of
assigning particle filter clouds of different sensors as being estimates of the same target is
an essential part in the particle cloud association. This paper treats the problem of ...
Modern Differential Geometry in Gauge Theories: Yang-Mills Fields - Volume 2 - Page 107
Anastasios Mallios - 2009
481, Theorem 4.2], as well as L.N. Vaser- stein [1]. Yet, setting (5.28) A ≡ CAX in (5.27), one then obtains, by the very definitions, (5.29) CMn(A)X = Mn(CAX) ≡ Mn(A), so that we can still write (5.27) in the form (5.30) EfA(X)∼EfMn(A)(X), ...
[PDF] Entropy and Information - Electrical Engineering - Stanford University
Jul 16, 2009 – This book is devoted to the theory of probabilistic information measures and their application ......
Breiman's and Billingsley's approach requires the martingale convergence theorem ......
Levenshtein [95] and Vasershtein [146] ...
[PDF] Proceedings of the 2009 International Conference - Page 846
on Computational and Mathematical Methods in Science and Engineering
Gijón (Asturias), Spain June 30, July 1-3, 2009 . Editor J. Vigo-Aguiar
The Kantorovich-Wasserstein distance between ρ0 and ρ1 verifies: d2(ρ0,ρ1) = ...
Transport Equations for Semiconductors - Page 273
Ansgar Jüngel - 2009
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. To appear in Arch. Rat.Mech. Anal., 2009. 263 24. A. J ̈ungel
Theory of Stochastic Processes: - Page 247 , 249
With Applications to Financial Mathematics and Risk Theory
Dmytro Gusak, Alexey Kulik, Yuliya Mishura - 2009 -Springer, 2010- 375 pages ISBN0387878629, 9780387878621
Wasserstein metric
Probability, Random Processes, and Ergodic Properties - Page x, xxxiii, 272, 315
Robert M. Gray - 2009 - 322 pages - In the optimal transportation literature, the German spelling of Vasershtein, Wasserstein,
Differential equations: geometry, symmetries and integrability : - Page , iii, vii, viii, 1, 2, 9, 19, 20, 21, 22, 23, 25, 26, 27, 28, 37, 40, 42, 47, 48, 49, 52, 72, 73, 75, 77, 105, 106, 107, 151, 158, 159, 160, 161, 162, 163, 164, 165, 167, 169, 170. ...
Proceedings of the Fifth Abel Symposium, Tromsų, Norway, June 1722, 2008
Boris Kruglikov, Valentin Lychagin, Eldar Straume - Springer, 2009 - 386 pages ISBN3642008739, 9783642008733
The Otto distance do coincides on Prob with the L2 Wasserstein distance W2. ... a distance. Moreover, recalling the definition of the Arnol'd metric, we may Differential Geometric Heuristic 57 3.4 The Otto Metric 3.5 The L2 Wasserstein Distance.
Optimal transport: old and new - Page 93, 98, 106, 110, 926, 941
Cédric Villani - 2009 - 973 pages
... (b) the explicit definition of this distance is not so easy to find in Wasserstein's work; and (c) Wasserstein was only interested in the case p = 1. By the way, also the spelling of Wasserstein is doubtful: the original spelling was Vasershtein.
MR2459454 (2010f:49001) Villani, Cédric Optimal transport. Old and new. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 338. Springer-Verlag, Berlin, 2009. xxii+973 pp. ISBN: 978-3-540-71049-3 (Reviewer: Dario Cordero-Erausquin), 49-02 (28A75 37J50 49Q20 53C23 58E30)
Zbl 1156.53003 Villani, Cédric Optimal transport. Old and new. (English)
Grundlehren der Mathematischen Wissenschaften 338. Berlin: Springer. xxii, 973~p. EUR~99.95/net; SFR~166.00; \$~159.00; \sterling~79.00 (2009). MSC2000: *53-02 49-02 90-02, Reviewer: Mihail Voicu (Iaşi)
(6) The Wasserstein distances,
Empirical Processes with Applications to Statistics - Page xii, 23
Galen R. Shorack, Jon A. Wellner - 2009 - 948 pages
Wasserstein Distance, 62 Definition of Wasserstein distance d2; Mallow's
The statistical mechanics of quantum lattice systems: a path integral approach - Page 239, 256 , 257, 260, 374, 379
Sergio Albeverio - European Mathematical Society, 2009 - 379 pages ISBN3037190701, 9783037190708
Wasserstein distance
Comparing Distributions - Page 148
Olivier Thas - 2009 - 353 pages
Calculation of the Wasserstein distance between probability distributions on the line. Theory of Probability ...
Encyclopedia of Distances - Page 51, 147, 253, 254, 571, 580, 590
Michel M. Deza, Elena Deza - Springer 2009 - 590 pages ISBN 364200234X, 9783642002342
fLip≤1 ∫ If μ and ν are probability measures, then it is the Kantorovich–Mallows–Monge-Wasserstein metric (cf. Chap. 14).
Random Matrices: High Dimensional Phenomena - Page 437
... 150 symmetric powers 374 symmetric diffusion semigroup 381 symmetric group, infinite 352 symmetric tensor powers ... Wallis's product 29 Wasserstein metric 100 Wasserstein metric dual form 101 Wasserstein metric in
MR2566878 Blower, Gordon Random matrices: high dimensional phenomena. London Mathematical Society Lecture Note Series, 367. Cambridge University Press, Cambridge, 2009. x+437 pp. ISBN: 978-0-521-13312-8 (Reviewer: Michael Stolz), 60B20 page 100
Wahrscheinlichkeitstheorie - Page 386
Achim Klenke - 2009 - 624 pages
Markov chains and mixing times - Page 199, 361
With a Chapter on Coupling from the Past by James G. Propp and David B. Wilson
David Asher Levin, Yuval Peres, Elizabeth Lee Wilmer - 2009 - 371 pages
Vasershtein, L. N. 1969. Markov processes over denumerable products of
Selected papers on probability and statistics - Page 77, 92
American Mathematical Society, United States. Office of Naval Research - 2009 - 231 pages
... Stochastic convergence through Skorohod representation theorems and Wasserstein metrics, Suppl. Rendic. Circolo Matem. Palermo II, 35 (1994), 89-113.
The geometry of infinite-dimensional groups - Page 109
Boris A. Khesin, Robert Wendt - 2009 - 304 pages
Optimal transportation networks: models and theory - Page 61
Marc Bernot, Vicent Caselles, Jean-Michel Morel - 2009 - 200 pages
Random trees: an interplay between combinatorics and probability - Page xii, 347, 352, 458
Michael Drmota - Springer, 2009 - 458 pages ISBN3211753575, 9783211753576
Wasserstein metric
MR2484382 (2010i:05003) Drmota, Michael Random trees. An interplay between combinatorics and probability. SpringerWienNewYork, Vienna, 2009. xviii+458 pp. ISBN: 978-3-211-75355-2 (Reviewer: Lyuben R. Mutafchiev), 05-02 (05C80 60-02 60C05 68P05 68P10 68W40)
Operations research proceedings 2008: - Page 352
Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), University of Augsburg, September 3-5, 2008 (Google eBook)
Bernhard Fleischmann, Karl-Heinz Borgwardt, Robert Klein - Springer, 2009 - 580 pages ISBN3642001424, 9783642001420
Wasserstein metric
Large random matrices: lectures on macroscopic asymptotics : - Page 275
École D'Été de Probabilités de Saint-Flour XXXVI – 2006 (Google eBook)
Alice Guionnet - 2009 - 294 pages Lecture notes in mathematics (Springer-Verlag) ; 1957
Necessary optimality conditions for geodesics in weighted Wasserstein spaces.
Monte Carlo and Quasi-Monte Carlo Methods 2008 - Page 133
Pierre L'Écuyer, Art B. Owen - 2009 - 672 pages
Since the latter two quantities can equivalently be defined in terms of the Wasserstein distance on the space of Borel
Computing and Combinatorics: - Page 337
15Th Annual International Conference, Cocoon 2009 Niagara Falls, Ny, Usa, July 13-15, 2009: Proceedings
Hung Q. Ngo - 2009 - 540 pages
Wasserstein metric
Applied Shape Optimization for Fluids - Page 159
B. Mohammadi, Olivier Pironneau - 2009 - 304 pages
Wasserstein
Labelled Markov processes - Page 127
Prakash Panangaden - 2009 - 199 pages
Vaserstein (or Wasserstein) metric
Séminaire de Probabilités XLII - Page 130
Catherine Donati-Martin, Michel Émery, Alain Rouault - 2009
Non-monotone Convergence in the Quadratic Wasserstein Distance Walter Schachermayer1, Uwe 130 L. Miclo.
MR2599203 (2010h:60007) Séminaire de probabilités XLII. [Seminar on Probability Theory XLII] Edited by Catherine Donati-Martin, Michel Émery, Alain Rouault and Christophe Stricker. Lecture Notes in Mathematics, 1979.
Springer-Verlag, Berlin, 2009. xiv+449 pp. ISBN: 978-3-642-01762-9, 60-06
Zbl 1213.60002 Andres, Sebastian Diffusion processes with reflection. (English)
Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 114~p. (2009). MSC2000: *60-02 60J60
whose associated empirical measure process converges weakly to the Wasserstein diffusion in the high-density limit
MR2547644 (2011a:20055) Segal, Dan Words: notes on verbal width in groups. London Mathematical Society Lecture Note Series, 361. Cambridge University Press, Cambridge, 2009. xii+121 pp. ISBN: 978-0-521-74766-0 (Reviewer: Benjamin Klopsch), 20E10 (20-02 20F10 20F12 20G25 20G35 20M05)
Scaling limits in statistical mechanics and microstructures in Continuum Mechanics - Page vii, x, xii, xiv, 86, 88, 89, 91, 93, 94, 95, 97, 240, 242, 247, 361, 367, 368, 369, 370, 377
Errico Presutti - Springer 2009 - 467 pages ISBN3540733051, 9783540733058
Vaserstein. distance. The theory is much more general than the applications to statistical mechanics that we discuss in this book, as a general reference see the book by Villani [208]. This is Part I because our presentation continues in Sect.
Zbl 1156.82001 Presutti, Errico Scaling limits in statistical mechanics and microstructures in continuum mechanics. (English)
Theoretical and Mathematical Physics. Berlin: Springer (ISBN 978-3-540-73304-1/hbk). xvi, 467 p. EUR 69.95/net; SFR 116.50; £ 52.50; $ 109.00 (2009).
Wasserstein 2010 44 books
Studies in Classification, Data Analysis, and Knowledge Organization - Page 41, 42
Data Analysis and Classification: from Exploration to Confirmation (Google eBook)
Francesco Palumbo Springer, 2010 482 pages ISBN3642037399, 9783642037399
Clustering linear models using Wasserstein distance
Wasserstein. Distance. Antonio Irpino and Rosanna Verde Abstract This paper deals with the clustering of complex data. ... We show the properties of the proposed metric and an application to real data using a dynamic clustering algorithm. ... is a set of probability distributions associated with the sample space S, while a parameterized statistical model is a parameter set Θ together with a function
Francesco Palumbo (Editor), Carlo Natale Lauro (Editor), Michael Greenacre (Editor)
Springer; 1st Edition. edition (December 17, 2009) 504 pp ISBN-10: 3642037380 ISBN-13: 978-3642037382
MR2664206 (2011b:62004) Data analysis and classification. Proceedings of the 6th Conference of the Classification and Data Analysis Group of the Società Italiana di Statistica (CLADAG) held in Macerata, September 12–14, 2007. Edited by Francesco Palumbo, Carlo Natale Lauro and Michael J. Greenacre. Studies in Classification, Data Analysis, and Knowledge Organization. Springer-Verlag, Berlin, 2010. xxii+482 pp. ISBN: 978-3-642-03738-2, 62-06
Measure Theory: Sigma-Algebra, Cantor Set, Measure, Dirac Delta Function, Measurable Function, Null Set, Borel-cantelli Lemma
Books, LLC, Books Group - 2010
Metric Geometry: Metric Space, Complete Metric Space, Cauchy Sequence, Euclidean Distance, Triangle Inequality, Curve, Hausdorff Dimension
Books, LLC General Books, 2010 1156531802, 9781156531808 332 pages
Keith E. Herold, Jafar. Vossoughi, William E. Bentley - 2010
... approach to digital pathology that relies on measuring the optimal transportation (Kantorovich-Wasserstein) metric between pairs of ...
Comparing distributions - Page 341, 348
Olivier Thas - 2010 See 2009
An extension of the Anderson-Darling k-sample test to arbitrary sample space partition sizes. Journal of Statistical Computation and ... Calculation of the Wasserstein distance between probability distributions on the line. Theory of Probability ...
Probability Theory: Doomsday Argument
Source Wikipedia, Books Llc, Books Group - 2010
ISBN1156574188, 9781156574188
Control Theory and Systems Biology - Page 246, 252, 253, 259
Pablo A. Iglesias, Brian P. Ingalls - 2010
minimize the Wasserstein pseudometric W1dðP1;P3ðk1;k2ÞÞ, where P3ðk1;k2Þ is the probability measure generated by the simple reaction network in figure 12.1a. This algorithm is an extension of the standard gradient descent method that ...
Probabilistic Approach to Geometry
Motoko Kotani, Masanori Hino, Takashi Kumagai - 2010 ISBN4931469582, 9784931469587
On Wasserstein Geometry of Gaussian Measures (A Takatsu)
European Congress of Mathematics, Amsterdam, 14-18 July, 2008 - Page 15
André Ran, H. J. J. te Riele, Jan Wiegerinck - 2010
J. A. Carrillo, R. J. McCann, and C. Villani, Contractions in the 2-Wasserstein length space and thermalization of granular ...
The Poisson-Dirichlet Distribution and Related Topics: - Page 209, 210
Models and Asymptotic Behaviors
Shui Feng - Springer 2010 ISBN3642111947, 9783642111945
Wasserstein metric
The logarithmic Sobolev inequality for the Wasserstein diffusion. Probab. Theory Relat.
Handbook of Mathematical Methods in Imaging - Page 1404, 1430
Otmar Scherzer - 2010 - 1607 pages
Gromov–Wasserstein Distances.
Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences - Page 87, 88, 333, 351
Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani - 2010 - 438 pages
Carrillo, J.A., McCann, R., Villani, C.: Contractions in the 2-Wasserstein length space and thermalization of granular media.
Wasserstein distance is O(δ). ... interpreted as an explicit Euler discretization in time of a gradient flow on the Wasserstein space, at least for sufficiently smooth motion mappings, cf. [1,38,50].
Therefore, the Wasserstein metric may be
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Computational topology: an introduction - Page 180, 184
Herbert Edelsbrunner, John Harer - 2010 - 241 pages
Wasserstein stability. Although a general stability result like the one for the bottleneck distance is out of reach, we get stability under the Wasserstein distance for a reasonably large class of functions. Let X be a metric space, that is, ...
MR2572029 (2011e:00001) Edelsbrunner, Herbert; Harer, John L. Computational topology. An introduction. American Mathematical Society, Providence, RI, 2010. xii+241 pp. ISBN: 978-0-8218-4925-5 (Reviewer: Andrzej Kozlowski),
00-02 (05C10 52-02 55-02 57-02 65D18 68U05)
Mean Field Models for Spin Glasses: Volume I: Basic Examples - Page 414, 458, 460, 477
Michel Talagrand - 2010 - 485 pages
Wasserstein distance
Recursive Partitioning and Applications - Page 117, 120, 121, 259
Heping Zhang, Burton H. Singer - 2010 - 259 pages
Wasserstein distance
Shapes and Diffeomorphisms - Page 252 , 429, 434
Laurent Younes - 2010 - 434 pages
Wasserstein distance
Nonlinear Markov Processes and Kinetic Equations - Page xi, 322, 323
Vassili N. Kolokoltsov - 2010 - 400 pages
Another convenient way to metricize the weak topology of measures is using Wasserstein–Kantorovich distances.
Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena - Page 35, 43
H. Holden, Kenneth Hvistendahl Karlsen - 2010 - 389 pages
Before that, let us remind the reader the definition of the euclidean Wasserstein distance
Stochastic Analysis 2010 - Page 227
Dan Crisan - 2010 - 390 pages
... coefficients (diffusion, drift and L ́evy measure) depending Lipschitz continuously on its parameters generates a Markov semigroup, where the measures are metricized by the Wasserstein–Kantorovich metrics Wp. The analysis of SDE driven
Mutational Analysis: - Page 134, 413, 421
A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, Issue 1996 (Google eBook)
Thomas Lorenz - 2010 - 509 pages
Wasserstein distance
Hyperbolic Conservation Laws in Continuum Physics - Page 370 , 610
Constantine M. Dafermos - 2010 - 708 pages
Asymptotics in terms of the Wasserstein metric is discussed by Carrillo, DiFrancesco and Lattanzio [1].
Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws. J
Financial Economics - Page 351
Thorsten Hens, Marc Oliver Rieger - 2010 - 373 pages
Wasserstein metric
Normal Approximation by Stein's Method - Page 64, 386, 404
Louis H. Y. Chen, Larry Goldstein, Qi-Man Shao - 2010 - 405 pages
Wasserstein distance
Stochastic Programming: The State of the Art in Honor of George B. Dantzig - Page 141 , 362
George B. Dantzig, Gerd Infanger - 2010 - 362 pages
Wasserstein distances
Algorithmic Learning Theory: - Page 272
21st International Conference, ALT 2010, Canberra, Australia, October 6-8, 2010. Proceedings (Google eBook)
Marcus Hutter, Frank Stephan, Vladimir Vovk - 2010 - 421 pages
Wasserstein Distances
European Congress of Mathematics , Amsterdam, 14–18 July, 2008 - Page xxv, 7, 15
Andre Ran, A.C.M. Ran, Herman te Riele, Jan Wiegerinck, editors, Herman Te Riele - 2010
Wasserstein Distances
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Mathematics In Industry / the European Consortium for Mathematics In Industry: |
Scientific Computing in Electrical Engineering SCEE 2008 - Page 172
Janne Roos, Luis R. J. Costa - 2010 - 588 pages
Wasserstein metric
Combining Soft Computing and Statistical Methods in Data Analysis - Page 582
Christian Borgelt, Gil González Rodríguez, Wolfgang Trutschnig - 2010 - 644 pages
Séminaire de Probabilités XLIII - Page 39, 74, 94
Catherine Donati-Martin, Antoine Lejay, Alain Rouault - 2010 - 503 pages
This includes all Wasserstein distances with respectto the time- dependent Riemannian metric generated by the symbol of the ...
Discrete Groups, Expanding Graphs and Invariant Measures - Page 39
Alexander Lubotzky - 2010 - 208 pages
Vaserstein
Collected Papers of John Milnor: V. Algebra - Page 317
John Milnor, Hyman Bass, T. Y. Lam - 2011 - 408 pages
L.N.Vaserstein
Theory and Applications: Ninth International Conference Finite Field and Applications, July 13-17, 2009, Dublin, Ireland
Gary McGuire, Gary L. Mullen, Daniel Panario - 2010 - 384 pages
Vaserstein
Ideals and Reality: Projective Modules and Number of Generators of Ideals . Friedrich Ischebeck, Ravi A. Rao - 2010 - 336 pages
Wasserstein Metric: Mathematics, Metric
Mathematics, Metric (mathematics), Measure (mathematics), Metric Space, Computer Science, Earth Mover's Distance, Radon Measure, Conditional Probability, Expected Value
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken -Betascript Publishing, 2010 - 100 pages
ISBN 10: 6130361807 ISBN 13: 9786130361808
Advances in Multimedia Modeling: 16th International Multimedia Modeling - Page 295, 296, 297, 301
Susanne Boll, Qi Tian, Lei Zhang - 2010 - 806 pages
Wasserstein distance
Computer Vision -- ECCV 2010: Part 5 - Page 771, 777, 783
11th European Conference on Computer Vision, Heraklion, Crete, Greece, September 5-11, 2010, Proceedings
Kostas Daniilidis, Petros Maragos, Nikos Paragios - 2010
The resulting high dimensional distributions are matched to perform retrieval using a fast approximate Wasserstein metric. ... It is possible to replace the geodesic distance by a diffusion distance [15] computed by solving a linear Poisson PDE.
Hongen Liao, P. J. Edwards, Xiaochuan Pan - 2010 - 573 pages
he Earth Mover's Distance The Earth Mover's Distance, also called Kantorovich-Wasserstein distance, can be visualized as
26th Southern Biomedical Engineering Conferencesbec 2010, April 30 - May 2 - Page 353
Keith E. Herold, Jafar Vossoughi, William E. Bentley - 2010 - 1000 pages,
Wasserstein
Numerical Solution of Stochastic Differential Equations with Jumps in Finance - Page 608, 807
Eckhard Platen, Nicola Bruti-Liberati - 2010 - 856 pages -
Discretization for stochastic differential equations, Lp Wasserstein metrics, and econometrical models. In Distributions with fixed ...
Differentiable Measures and the Malliavin Calculus - Page 447, 470
Vladimir I. Bogachev - 2010 - 501 pages
Sturm K.-T. Entropic measure and Wasserstein diffusion.
Fang S., Shao J., Sturm K.-Th. Wasserstein space over the Wiener space.
Paris-Princeton Lectures on Mathematical Finance 2010 - Page 211
Areski Cousin, Stéphane Crépey, Olivier Guéant - 2010 - 359 pages
Wasserstein space
Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems - Page 1, 2, 20, 80
Wilfrid Gangbo, Hwa Kil Kim, Tommaso Pacini - 2010 - 77 pages AMS Mem
MR2808856 Gangbo, Wilfrid; Kim, Hwa Kil; Pacini, Tommaso Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems. Mem. Amer. Math. Soc. 211 (2011), no. 993, vi+77 pp. ISBN: 978-0-8218-4939-2, 37Kxx (53Dxx 58Axx). Zbl 1221.53001
Wasserstein space, Wasserstein theory
MR2605602 (2010m:58002) Probabilistic approach to geometry. Papers from the 1st Conference of the Seasonal Institute of the Mathematical Society of Japan held at Kyoto University, Kyoto, July 28–August 8, 2008. Edited by Motoko Kotani, Masanori Hino and Takashi Kumagai.
Advanced Studies in Pure Mathematics, 57. Mathematical Society of Japan, Tokyo, 2010. xvi+514 pp. ISBN: 978-4-931469-58-7, 58-06 (58J65 60-06)
Vasserstein and Vasershtein 2010 4 books
Characteristic Functions, Scattering Functions and Transfer Functions - Page 144
Daniel Alpay, Victor Vinnikov - 2010 - 389 pages
The second result we need is due to Vasershtein ([14], Theorem 3) Theorem 5.4.
Given a ring A with stable rank k, let Mn(A) denote the ring of nxn matrices with
An Outline of Ergodic Theory - Page 67
Steven Kalikow, Randall McCutcheon - 2010
The dbar distance is closely related to various distance metrics that have been around for a long time, going by the names Vasershtein distance, Monge–Kantorovich transportation metric, earth mover's distance, etc.
Handbook of Social Economics SET: 1A, 1B: 1A, 1B - Page 623
Jess Benhabib, Alberto Bisin, Matthew O. Jackson - Newnes, 2010 ISBN0444537139, 9780444537133 1600 pp
Random Fields and Interacting Particle Systems. Providence: Mathematical Association of America, 1971. G. Topa. Social Interactions, Local Spillover and Unemployment. The Review of Economic Studies. 2001;68:261-295. L.N. Vasserstein.
Quantum Mechanics and Path Integrals: Emended Edition
Richard Phillips Feynman, Albert R. Hibbs, Daniel F. Styer - 2010
Vaserstein 2010 13 items
Complex Analysis: Several Complex Variables and Connections With PDE Theory - Page 131, 144
Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn - 2010
Every null-homotopic holomorphic map f : X → B = SLm (C) admits a continuous lifting F : X → E for a suitably chosen N ∈ N (Vaserstein [31]), and the goal is to deform F to a holomorphic lifting G = (G1 ,...,G N ): X → E.
Complex Analysis - Page 131, 143, 144
Several Complex Variables and Connections With Pde Theory and Geometry
Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn - Springer 2010 - 340 pages ISBN3034600097, 9783034600095
Vaserstein
Collected Papers of John Milnor: Algebra - Page 317
John Willard Milnor, Hyman Bass, T. Y. Lam - 2010 - 425 pages
Some nonsplit isotropic groups of classical types were treated by L.N. Vaserstein. A proof of Serre's conjecture for general isotropic groups was given by Raghunathan ...
Discrete Groups, Expanding Graphs and Invariant Measures - Page 39, 192
Alexander Lubotzky - 2010 - 208 pages
Vaserstein
Finite fields: theory and applications : Ninth International Conference - Page 160
Gary McGuire, American Mathematical Society - 2010 - 384 pages
L. N. Vaserstein, Quantum (abc)-theorems, J. Number Theory 81, 2000, pp. 351 – 358.
Ideals and Reality: Projective Modules and Number of Generators of Ideals Friedrich Ischebeck, Ravi A. Rao - 2010 - 350 pages
A study of projective modules and their connections with topological vector bundles in a form due to Vaserstein is included.
Banach Space Theory: The Basis for Linear and Nonlinear Analysis - Page 766
Marián Fabian, Petr Habala, Petr Hajek - Springer 2010 - 820 pages
J. Lukeš and J. Malý, Measure and integral, Matfyzpress, Prague 1994. Y. Lyubich and L. N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs, Geom. Dedicata 47 (1993), 327–362.
Geometry of Cuts and Metrics - Page 34, 569
2010 ISBN3642092438, 9783642092435 Springer 2010 580 pp
There is a vast literature on the topic of isometric embeddings among the various Lp-spaces; see, e.g., Wells and Williams [1975], Dor [1976], Ball [1987] , Lyubich and Vaserstein [1993].
Introduction to Linear Algebra
Lee Johnson, R. Dean Riess, Jimmy T. Arnold - 2010
This book's flexible table of contents makes it suitable for students majoring in science and engineering as well as students who want an introduction to mathematical abstraction and logical reasoning.
Vaserstein
Encyclopedia of business information sources - Volume 2 - Page 553
Virgil L. Burton - 2010
Leonid N. Vaserstein and others. Prentice Hall. ' 2002. $8l.0O. Publisher: "...enables those with little mathematical background to learn to use linear programming in their respective fields (business. economics. operations research. etc.).".
Linear Programming, Sensitivity Analysis and Related Topics Marie-France Derhy - 2010
This book covers all aspects of linear programming from the two-dimensional LPs and their extension to higher dimensional LPs, through duality and sensitivity analysis and finally to the examination of commented software outputs.
Information Technology: Project Management Kathy Schwalbe - 2010
This text provides up-to-date information on how good project management and effective use of software can help you manage projects, especially information technology projects.
Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable Rida Farouki - Springer 2010
This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications.
ISBN3642092438, 9783642092435 728 pp
Wasserstein 2011 65 books
Handbook of Empirical Economics and Finance - Page 268
Aman Ullah, David E. A. Giles - 2011
In the case of Wasserstein, the distance is defined in the Lj norm and in the Mallows in the Li norm. When considering Equation 10.34, D(hXl, fiXj) will be calculated by implementing the Wasserstein or Mallows distance. By using the definition ...
Image Processing (ICIP), 2011 18th IEEE International Conference on
Date: 11-14 Sept. 2011 Rabin, J. CMLA, ENS de Cachan, Cachan, France
Peyre, G. Wasserstein regularization of imaging problem 1541 - 1544
Studies In Classification, Data Analysis, and Knowledge Organization - Page 370
Classification and Multivariate Analysis for Complex Data Structures
Bernard Fichet - Springer, 2011 473 pp ISBN3642133126, 9783642133121
Irpino, A., Verde R., Lechevallier Y.: Dynamic clustering of histograms using Wasserstein metric. In: Rizzi, A., Vichi, M. (eds.) ...
Energy Minimization Methods in Computer Vision and Pattern Recognition - Page 74, 81, 86
8th International Conference, EMMCVPR 2011, St. Petersburg, Russia, July 25-27, 2011, Proceedings
We present comparisons of the un-normalized model (3), our new normalized model (5), CV and LBF models (12), using the 1-D Wasserstein distance ...
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010) (in 4 Volumes) - Vol. I: - Page 91, 92
Plenary Lectures and Ceremonies, Vols. II-IV: Invited Lectures
Rajendra Bhatia, Arup Pal - 2011
In a study of nonlinear heat equations, F. Otto [38] defined a formal Riemannian structure on P2 (M) and interpreted these equations as gradient flows on the Wasserstein space P2 (M) with this formal Riemannian structure.
Wasserstein geodesic
Mathematical Foundations of Quantum Field Theory and Perturbative String Theory - Page 268, 270
Hisham Sati, Urs Schreiber - 2011
In the “probabilistic” approach (see a good review in [L], or original proofs in [LV], [St]) one uses the ideas of optimal transport (different point of view is presented in [AGS]). ...
More precisely the space P(X) carries a family Wp ,p ≥ 1 of the so-called Wasserstein metrics. ... on C(X) discussed in the Introduction, thus making a connection with Connes's approach to noncommutative Riemannian geometry.
Nonlinear PDE’s and Applications: C.I.M.E. Summer School, Cetraro,, Italy - Page 80
Stefano Bianchini, Eric A. Carlen, Alexander Mielke - 2011
Unlike the critical fast diffusion equation that came discussed in Sect.2, this fast diffusion equation is particularly nice: Both terms in the entropy are “displacement convex” – convex along geodesics in the Wasserstein space – and the second ...
Hamiltonian Systems and the Calculus of Differential Forms on the Wasserstein space
Hwa Kil Kim - Proquest, Umi Dissertation Publishing, 2011 - 90 pages ISBN1244090794, 9781244090798
This thesis consists of two parts. In the first part, we study stability properties of Hamiltonian systems on the Wasserstein space. Let H be a Hamiltonian satisfying conditions imposed in [2]. We regularize H via Moreau-Yosida approximation to get Htau and denote by mutau a solution of system with the new Hamiltonian Htau. Suppose Htau converges to H as tau tends to zero. We show mutau converges to mu and mu is a solution of a Hamiltonian system which is corresponding to the Hamiltonian H. At the end of first part, we give a sufficient condition for the uniqueness of Hamiltonian systems. In the second part, we develop a general theory of differential forms on the Wasserstein space. Our main result is to prove an analogue of Green's theorem for 1-forms and show that every closed 1-form on the Wasserstein space is exact. If the Wasserstein space were a manifold in the classical sense, this result wouldn't be worthy of mention. Hence, the first cohomology group, in the sense of de Rham, vanishes.
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Wahrscheinlichkeitstheorie - Page 386, 624
Achim Klenke - 2011 - 624 pages
Für zwei W-Maße P und Q auf (E,B(E)) schreiben wir K(P,Q) C M\{E x E) für die Menge der Kopplungen von P und Q. Wir können dann einen Abstand, die so genannte Wasserstein Metrik, auf M.\(E) definieren durch dw(P,Q):=mi(J
05 Wasserstein Metrik
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Variational Pde-Based Image Segmentation and Inpainting with Applications to Computer Graphics Kang-Yu Ni, BiblioBazaar, 2011 - 142 pages ISBN1243579633, 9781243579638
Geometric Approach to Evolution Problems in Metric Spaces : Product Formulas in CAT(0) Spaces Fokker-Planck Equation Maximal Monotone Operators on Wasserstein Spaces Igor Stojkovi - 2011 - 240 pages This PhD thesis contains four chapters where research material on a range of different topics is presented. |
Partial Differential Equations and Spectral Theory - Page 19 , 68
Michael Demuth, Bert-Wolfgang Schulze, Ingo Witt - 2011 - 342 pages
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Arch. Ration. Mech. Anal., 194:133–220, 2009. [55] J. Glimm. Solutions in the large for nonlinear hyperbolic systems of equations. Commun.
Computer Vision, Imaging and Computer Graphics: Theory and Applications - Page 363 , 369
nternational Joint Conference, VISIGRAPP 2009, Lisboa, Portugal, February 5-8, 2009. Revised Selected Papers (Google eBook)
Alpeshkumar Ranchordas, Joao Madeiras Pereira, Hélder J. Araújo - 2011 - 369 pages
Ni, K., Bresson, X., Chan, T., Esedoglu, S.: Local histogram based segmentation using the Wasserstein distance. In: Scale ... Rousson, M., Brox, T., Deriche, R.: Active unsupervised texture segmentation on a diffusion based feature space.
Distributed Video Sensor Networks - Page 357, 358, 485
Bir Bhanu, Chinya V. Ravishankar, Amit K. Roy-Chowdhury - Springer 2011 - 485 pages
Wasserstein distance
Zbl 1213.62027 Chen, Louis H. Y.; Goldstein, Larry; Shao, Qi-Man Normal approximation by Stein's method. (English) Probability and Its Applications. Berlin: Springer. xii, 405~p. (2011). MSC2000: *62E20 62-02 60-02, Reviewer: Thorsten Dickhaus (Berlin)
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[BOOK] Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems - Page 25
[PDF] from arxiv.orgW Gangbo, HK Kim… - 2011
MR2808856 Gangbo, Wilfrid; Kim, Hwa Kil; Pacini, Tommaso Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems. Mem. Amer. Math. Soc. 211 (2011), no. 993, vi+77 pp. ISBN: 978-0-8218-4939-2 (Reviewer: Koji Kikuchi) 37K25 (58B20 58D05)
Seminar on Stochastic Analysis, Random Fields and Applications VI: - Page 245
Centro Stefano Franscini, Ascona May 2008 Robert C. Dalang, Marco Dozzi, Francesco Russo, editors. Basel : Birkhäuser, 2011. 492pp
ISBN 9783034800204 (alk. paper) 3034800207 (alk. paper) 9783034800211 (ebk.) 3034800215 (ebk.)
Functional Inequalities for the Wasserstein Dirichlet Form / W. Stannat
Stochastic Optimization Methods in Finance and Energy - Page xii, 333, 353, 354, 357, 359, 360, 363, 368, 387, 388, 390, 392, 394, 397, 400, 401, 402, 406, 407, 414, 415, 474
New Financial Products and Energy Market Strategies
Series: International Series in Operations Research & Management Science, Vol. 163
Bertocchi, Marida; Consigli, Giorgio; Dempster, Michael A. H. (Eds.) Springer, 2011 ISBN1441995862, 9781441995865
2012, 2011, XXIII, 474 p. 133 illus., 65 in color.
Energy Minimazation Methods in Computer Vision and Pattern Recognition - Page 81
Yuri Boykov, Victor Lempitsky, Frank R. Schmidt - 2011 - 450 pages
Wasserstein distance
Passing to the limit in a Wasserstein gradient flow: from Diffusion to Reaction
Issue 1593 of Preprint, Weierstraß-Institut für Angewandte Analysis und Stochastik Berlin PublisherWIAS, 2011 32 pages
Complex Analysis and Dynamical Systems IV: - Page 213
Mark Agranovsky, Matania Ben-Artzi, Greg Galloway - 2011 - 284 pages
The Wasserstein space P2 (X) is defined as (3.4) P2(X) = { μ ∈ P(X) ∣ ∣ ∫ X d(
Random Finite Sets for Robot Mapping and SLAM: - Page 49
New Concepts in Autonomous Robotic Map Representations
John Stephen Mullane, Ba-Ngu Vo, Martin David Adams - 2011 - 148 pages
Wasserstein construction, Wasserstein distance
Markov Processes, Semigroups and Generators - Page 41, 42, 240, 430
Vassili N. Kolokoltsov - 2011 - 430 pages
Wasserstein metric
Classification and Multivariate Analysis for Complex Data Structures - Page 370
Bernard Fichet, Domenico Piccolo, Rosanna Verde - 2011 - 473 pages
Wasserstein
Computer Analysis of Images and Patterns: Part 1 - Page 256
14th International Conference, CAIP 2011, Seville, Spain, August 29-31, 2011, Proceedings
Ainhoa Berciano, VARIOS AUTORES, Daniel Diaz-Pernil - 2011 - 611 pages -
Wasserstein distance
Advances in Swarm Intelligence: Part 2 - Page 490
Second International Conference, ICSI 2011, Chongqing, China, June 12-15, 2011, Proceedings
Ying Tan, Yuhui Shi, Yi Chai - 2011 - 587 pages -
Wasserstein distances
Cellular and Biomolecular Mechanics and Mechanobiology - Page 358
Amit Gefen - 2011 - 560 pages
Wasserstein distance
Q-Valued Functions Revisited - Page 2 , 83
Camillo De Lellis, Emanuele Nunzio Spadaro - 2011 - 79 pages
Wasserstein
Partial Differential Equations and Spectral Theory - Page 19, 68
Michael Demuth, Bert-Wolfgang Schulze, Ingo Witt - 2011 - 341 pages
Wasserstein
Video Tracking: Theory and Practice Emilio Maggio, Andrea Cavallaro - 2011 - 292 pages
Wasserstein distance is an evaluation metric for multi-target algorithms and has been used to evaluate trackers based on the RFS framework [
Wiener Chaos: Moments, Cumulants and Diagrams: A Survey with computer implementation - Page 203
Giovanni Peccati, Murad S. Taqqu - 2011 - 200 pages
Wasserstein distance
Probability for Statistics and Machine Learning: - Page 506, 693, 763, 771, 779
Fundamentals and Advanced Topics (Google eBook)
Anirban DasGupta - 2011 - 641 pages
Wasserstein metric
Hyperfinite Dirichlet Forms and Stochastic Processes - Page 266, 276, 277
Sergio Albeverio, Ruzong Fan, Frederik Herzberg - 2011 - 284 pages
Entropic measure and Wasserstein diffusion.
Rearranging Dyson-Schwinger Equations - Page 86
Karen Yeats - 2011 - 82 pages
Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems
On Systems of Equations Over Free Partially Commutative Groups - Page 157
Montserrat Casals-Ruiz, Ilya Kazachkov - 2011 - 153 pages
Wasserstein space
Positive Definiteness of Functions With Applications to Operator Norm Inequalities - Page 84
Hideki Kosaki - 2011 - 80 pages
Wasserstein space
Dynamics, Games and Science, in Honour of Maricio Peixoto and David Rand - Page 242
Conference Dyna 2008, September 8-12, 2008, Universidade Do Minho, Braga, Portugal
Maurício Matos Peixoto, Alberto Adrego Pinto, David A. J. Rand - 2011 - 830 pages
Wasserstein metric
Random perturbation of PDEs and fluid dynamic models: - Page 166, 175
École D'été de Probabilités de Saint-Flour XL-2010
Franco Flandoli - 2011 - 176 pages
Wasserstein distance, Wasserstein control
Iwasawa Theory, Projective Modules, and Modular Representations - Page 189
Ralph Greenberg - 2011 - 185 pages
Wasserstein space
Valuations and Differential Galois Groups - Page 72
Guillaume Duval - 2011 - 68 pages
Wasserstein space
Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence - Page 137
Leonid Positselski - 2011 - 133 pages Memoirs of the American Mathematical Society Series ISBN0821852965, 9780821852965
Wasserstein space
Supported Blow-Up and Prescribed Scalar Curvature on Sn - Page 103
Man Chun Leung - 2011 - 99 pages -
Iterated Function Systems, Moments, and Transformations of Infinite Matrices - Page 109
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman - 2011 - 105 pages
ations of Infinite Matrices
Memoirs of the American Mathematical Society Series, Memoirs of the American Mathematical Society Series
ISBN0821852485, 9780821852484
Axes in Outer Space - Page 108
Michael Handel, Lee Mosher - 2011 - 104 pages -
Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ...
Multicurves and Equivariant Cohomology - Page 121
N. P. Strickland - 2011 - 117 pages
Fonction Zêta des Hauteurs des Variétés Toriques non Déployées - Page 155
David Bourqui - 2011 - 151 pages
Zbl 05954668 Franek, Marzena Magdalene Variational methods using transport metrics and applications.
(English) Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). 183 p. (2011).
Furthermore, the connection to the gradient flow theory is developed in this thesis and several evolution equations are identified as Wasserstein gradient flow equations.
Zbl 1213.62027 Chen, Louis H. Y.; Goldstein, Larry; Shao, Qi-Man
Normal approximation by Stein's method. (English) Probability and Its Applications. Berlin: Springer (ISBN 978-3-642-15006-7/hbk; 978-3-642-15007-4/ebook). xii, 405 p.
(in Wasserstein ($L^1$) and Kolmogorov ($L^\infty$) distances)
Seminar on Stochastic Analysis, Random Fields and Applications VI: - Page vi, 109, 116, 244, 245, 246, 247, 249, 251, 253, 256, 260, 262, 265, 276, 277
Centro Stefano Franscini, Ascona, May 2008
Robert Dalang, Marco Dozzi, Francesco Russo - 2011 - 492 pages
Keywords. Wasserstein diffusion,
We give an alternative representation of the Wasserstein Dirichlet form that was introduced by von Renesse and Sturm ... definition of the Wasserstein Dirichlet form let us first recall an alternative description of the Wasserstein space over I that ...
Ergodic Control of Diffusion Processes - Page 72, 322
books.google.comAri Arapostathis, Vivek S. Borkar, Mrinal K. Ghosh - 2011 - 335 pages
Wasserstein
Quasi-Actions on Trees II: Finite Depth Bass-Serre Trees - Page 109
Lee Mosher, Michah Sageev - 2011 - 105 pages
Wasserstein
Parabolic Systems with Polynomial Growth and Regularity - Page 122
MR2866816 Duzaar, Frank; Mingione, Giuseppe; Steffen, Klaus Parabolic systems with polynomial growth and regularity.
Mem. Amer. Math. Soc. 214 (2011), no. 1005, x+118 pp. ISBN: 978-0-8218-4967-5 (Reviewer: Luca Lorenzi) 35K40 (35B65 35D30 35K59 35K92)
forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ...
Numerical Analysis of Multiscale Computations: - Page 316
Proceedings of a Winter Workshop At the Banff International Research Station 2009
Björn Engquist, Olof Runborg, Yen-Hsi Richard Tsai - 2011 - 420 pages
Wasserstein distance
Stochastic Optimization Methods in Finance and Energy: - Page 394
New Financial Products and Energy Market Strategies
Giorgio Consigli, Marida Ida Bertocchi, Michael A. H. Dempster - 2011 - 474 pages
Fundamentals of Object Tracking - Page 261
Subhash Challa, Mark R. Morelande, Darko Mušicki - 2011 - 392 pages
Probability for Statistics and Machine Learning: - Page 506, 693, 782
Fundamentals and Advanced Topics
Anirban DasGupta - 2011 - 782 pages
Wasserstein metric
Technological Innovation for Sustainability: - Page 123
Second IFIP WG 5.5/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems, DoCEIS 2011, Costa de Caparica, Portugal, February 22-24, 2011, Proceedings
Luis M. Camarinha-Matos - 2011 - 615 page
Wasserstein
On asymptotically optimal source coding and simulation of Stationary Sources - Page 10
Zhenyu Mao, Stanford University. Dept. of Electrical Engineering - 201
It is the extension to general distortion measures of Ornstein's d (d-bar) distance (which is based on the the Hamming distortion) or, equivalently,
the extension of the classic Monge/Kantorovich/Wasserstein (or Vasershtein) distance [43, 31, 61] ...
Advances in Computer Science, Environment, Ecoinformatics, and Education: Part 1 - Page 277
Song Lin, Xiong Huang - 2011 - 664 pages
Wasserstein distance
Permutations with interval restrictions - Page 15
Olena Bormashenko, Stanford University. Dept. of Mathematics - 2011
... has utilized the idea of curvature, which requires contraction of the transportation metric (also known as the Wasserstein distance.) I
Networking 2011: Part 2 - Page 318, 327
10th International IFIP TC 6 Networking Conference, Valencia, Spain, May 9-13, 2011, Proceedings
Jordi Domingo-Pascual, Pietro Manzoni, Sergio Palazzo - 2011 - 381 pages
Wasserstein rank distance
Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring - Page 82
Tarmo Järvilehto - 2011 - 78 pages AMS Mem
Wasserstein space
On the Algebraic Foundation of Bounded Cohomology - Page 101
Theo Bühler - 2011 - 97 page
Wasserstein space
Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates - Page 82
Steve Hofmann, Guozhen Lu, Dorina Mitrea - AMS 2011 - 78 pages ISBN0821852388, 9780821852385
Wasserstein space
Spectral methods for isometric shape matching and symmetry detection - Page 90
Maksims Ovsjanikovs, Stanford University. Institute for Computational and Mathematical Engineering - Stanford University, 2011
Wasserstein
Vaserstein 2011 11 items
Zbl 1242.13002 Lombardi, Henri; Quitté, Claude
Commutative algebra. Constructive methods. Finite type projective modules. (Algèbre commutative. Méthodes constructives. Modules projectifs de type fini. Cours et exercices.) (French)
Mathématiques en Devenir. Paris: Calvage et Mounet. xxxi, 991~p. EUR~69.00 (2011). MSC2000: *13-01 13C10 13C11, Reviewer: Werner Kleinert (Berlin)
Vaserstein
Stein Manifolds and Holomorphic Mappings: - Page 312
The Homotopy Principle In Complex Analysis (Google eBook)
Franc Forstneric - 2011 - Springer, Jan 1, 2011 - 489 pages 3642222501, 9783642222504
In this section we outline the solution to Gromov's Vaserstein problem obtained by Ivarsson and Kutzschebauch [272, 273].
Functional inequalities for the Wasserstein Dirichlet Form - Page 1, 3, 5
[PDF] from tu-darmstadt.deW Stannat - Seminar on Stochastic Analysis, Random Fields and …, 2011 - Springer ISBN 978-3-0348-0020-4
Abstract We give an alternative representation of the Wasserstein Dirichlet form that was introduced by von Renesse and Sturm in [7].
Computer Vision - ACCV 2010: Part 2 - Page 487
10th Asian Conference on Computer Vision, Queenstown, New Zealand, November 8-12, 2010, Revised Selected Papers
Ron Kimmel, Reinhard Klette, Akihiro Sugimoto - Springer, May 3, 2011 - 726 pages LNCS 6492-6495
Vaserstein
Gibbs Measures and Phase Transitions - Page 466, 644
Hans-Otto Georgii - Walter de Gruyter, May 13, 2011 - 545 pages ISBN3110250292, 9783110250299
... references also deal with the more general case that the total variation distance (8.1) is replaced by the more general Vaserstein-Kantorovich-Rubinstein distance relative to some metric on the state space. (If this metric is the discrete metric, ...
Rings Related to Stable Range Conditions - Page 426
Huanyin Chen - World Scientific, 2011 ISBN9814329711, 9789814329712
Vaserstein
Zbl 1245.16002 Chen, Huanyin Rings related to stable range conditions. (English)
Series in Algebra 11. Hackensack, NJ: World Scientific. xviii, 661~p. \$~148.00, \sterling~92.00; \$~192.00 (2011). MSC2000: *16-02 16D70 16E20, Reviewer: Kenneth R. Goodearl (Santa Barbara)
Aspects of operator algebras and applications: - Page 70
UIMP-RSME Lluís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008
Pere Ara, Fernando Lledo, Francesc Perera - 2011 - 168 pages ISBN 9780821849057
Vaserstein
Perspectives on Noncommutative Geometry - Page 112
Masoud Khalkhali, Guoliang Yu - 2011 - 163 pages
In [36], Suslin extended the Bass–Vaserstein theorem to higher algebraic Ktheory.
Number Theory, Analysis and Geometry: In Memory of Serge Lang - Page 321, 346, 347, 352,
Dorian Goldfeld, Jay Jorgenson, Peter Jones - 2011 - 704 pages
Perspectives on Noncommutative Geometry - Page 108. 109, 110, 112 , 113, 115, 116
Masoud Khalkhali, Guoliang Yu - 2011 - 163 pages
Vaserstein
Non-Abelian Fundamental Groups and Iwasawa Theory - Page 114, 1310 131
John Coates, Minhyong Kim, Florian Pop - 2011 - 320 pages
[47] Vaserstein, L. N. On stabilization for general linear groups over a ring. Math. USSR Sbornik, 8:383–400, 1969. [48] Vaserstein, L. N. On the Whitehead determinant for semi-local rings. J. Algebra, 283:690–699, 2005. [49] Venjakob, O.
Banach Space Theory: The Basis for Linear and Nonlinear Analysis - Page 766
Marián Fabian, Marián J. Fabian - 2011
J. Lukeš and J. Malý, Measure and integral, Matfyzpress, Prague 1994. Y. Lyubich and L. N. Vaserstein, Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs, Geom. Dedicata 47 (1993), 327–362.
Waserstein 2011
Networking 2011: Part 2 - Page 318
10th International IFIP TC 6 Networking Conference, Valencia, Spain, May 9-13, 2011, Proceedings
Jordi Domingo-Pascual, Pietro Manzoni, Sergio Palazzo - 2011 - 381 pages
Waserstein rank distance
Vasershtein 2011
Extreme Value Methods With Applications to Finance - Page 136, 371
Serguei Y. Novak - 2011
Estimate of the accuracy of approximation (8.11) in terms of a Vasershtein-type distance is given by Barbour et al. [30].
Entropy and Information Theory - Page 131, 132
Robert M. Gray - Springer 2011 ISBN1441979700, 9781441979704 - 409 pages
Monge/Kantorovich/Vasershtein. Distance.
In this formulation the coupling of two random objects by a joint measure is replaced by a deterministic mapping of the first into the ... In the optimal transportation literature, the German spelling of Vasershtein, Wasser- stein, also caught on as a ...
2011 School of Information Theory pdf
27–30 May 2011, UT Austin Shannon meets Ornstein
Robert M. Gray Stanford University el eng
Vasershtein/Wasserstein (1969)
Vaserstein 2012 8 books
Rational Number Theory in the 20th Century Władysław Narkiewicz
Springer Monographs in Mathematics 2012, pp 195-273
34, 387–405 (1988); Conn, W., Vaserstein, L.N.: On sums of three integral cubes. ...... Nauk SSSR 30, 687–689 (1941); Márki, L., Steinfeld, O., Szép, J.: Short ...
Rational Number Theory in the 20th Century: From PNT to FLT - Page 227, 228, 255, 424, 600, 641, 642
Wladyslaw Narkiewicz - Springer 2012 - 654 pages ISBN0857295322, 9780857295323
15, 389–400 (1953) Vaserstein, L.N.: Waring's problem for commutative rings. J. Number Theory 26, 299–307 (1987) Vaserstein, L.N.: Every integer is a sum or difference of 28 integral eighth powers. J. Number Theory 28, 66–68 (1988) ...
Issues in Mathematical Theory and Modeling: 2011 Edition - Page 202
Q Ashton Acton, PhD ScholarlyEditions, 2012 ISBN1464966931, 9781464966934
Vaserstein and colleagues published their study in International Journal of Number Theory (Polynomial ... Additional information can be obtained by contacting L. Vaserstein, Pennsylvania State University, Dept. of Math, University Park, PA ...
Issues in Algebra, Geometry, and Topology: 2011 Edition
Q Ashton Acton, PhD ScholarlyEditions, 2012 ISBN1464966346, 9781464966347
R, Lambda), which is an analog for the results existing in the general linear groups; see [L.N. Vaserstein, The subnormal structure of general linear groups over rings, Math. Proc. Cambridge Philos. Soc., 108 (1990) 219-229; N.A. Vavilov, ...
Noncommutative Iwasawa Main Conjectures Over Totally Real Fields: - Page 32
Münster, April 2011
John Coates, Peter Schneider, R. Sujatha - 2012
The following result of Vaserstein is very useful. Proposition 2.4. Let R be a semilocal ring. Then the natural inclusion of R D GL1.R/ into GL.
Number Theory, Analysis and Geometry - Page 346,347
In Memory of Serge Lang
D. Goldfeld - 2012 - 704 pages ISBN 10.1007/978-1-4614-1260-1
We may now apply the theorem of Mathews, Vaserstein, and Weisfeller [MVW], to , to conclude that for all sufficiently large l prime to N, say for all
l not in the finite set S, Γ maps onto . For any such l, Γ3 maps onto the image of in , i.e., Γ3 maps ...
[PDF] Stable range adequate Bezout duo-ring- Page 120
I Vasiunyk - International Mathematical Conference, 2012 - mmk.mdu.edu.ua
... Студ., 1998.–9.–№ 2.–С. 115-119. [3] Vaserstein LN The stable rank of rings and dimensionality
of topological spaces// Functional Anal. Appl., 1971.–5.–P. 102-110. [4] Васюник I. С, Забавський
БВ Стабiльний ранг дуо-кiльця Безу та його узагальнення//Прикл. пробл. мех. ...
Vaserstein
[PDF] Notes on thin matrix groups - Page 17
P Sarnak - Proceedings of MSRI conference on Thin Groups and … - math.princeton.edu
Page 1. Notes on Thin Matrix Groups Peter Sarnak Prepared for the MSRI hot topics
workshop on superstrong approximation (Feb. 2012). My aim is to give an overview
of the developments in the theory and its applications. ...
L. Vaserstein
Wasserstein 2012 68 books
Title: Wasserstein Barycenter and Its Application to Texture Mixing
Author(s): Rabin, Julien; Peyre, Gabriel; Delon, Julie; et al.
Book Editor(s): Bruckstein, AM; Romeny, BMT; Bronstein, AM; et al.
3rd International Conference on Scale Space and Variational Methods in Computer Vision Location: Ein Gedi, ISRAEL Date: MAY 29-JUN 02, 2011
Sponsor(s): Technion Dept Comp Sci; HP Lab Israel; Rafael Ltd; BBK Technol Ltd; European Commun FP7 ERC FIRST Programs
Source: SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION Book Series: Lecture Notes in Computer Science Volume: 6667 Pages: 435-446 Published: 2012
... a method for numerical integration of Wasserstein gradient flows based on the classical minimizing movement scheme. ... to the nonlinear fourth-order Derrida-Lebowitz-Speer-Spohn equation, which arises in quantum semiconductor theory.
Handbook of Computational Statistics: Concepts and Methods - Page 869, 1192
James E. Gentle, Wolfgang Karl Härdle, Yuichi Mori - 2012
There are well established statistics that measure the difference in distribution. In survival analysis, we ... Gordon and Olshen used the so-called Lp Wasserstein metrics, d p .; /;
as the measure of discrepancy between the two survival functions.
A Varian of Kolmogorovian Probability Emerging from Quantum Theory
MF Rosyid - Asian Physics Symposium, 2012 - prosiding.papsi.org
... The metric di defined on Ωi induced the Wasserstein metric W i d on PW(Ωi) through ... Now Let
ˆ ˆ :ε → Σ × × Σ D P P W 1 W N A A ( ( )) . be a maping from the set of all density operators into
the product space of Wasserstein spaces ˆ Σ PW i A ( ( )) defined by ...
Scale Space and Variational Methods in Computer Vision: - Page xi, 250, 252, 254, 435, 436, 438, 439, 442, 445
Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 -- June 2, 2011, Revised Selected Papers
Alfred M. Bruckstein, Bart Ter Haar Romeny, Alexander M. Bronstein - Springer 2012 - 798 pages 3642247849, 9783642247842
Moreover, W2 is too difficult to handle in problems requiring the optimization of point clouds with functional involving the Wasserstein distance.
To overcome the time complexity involved by the numerical solving of such problem, the original Wasserstein metric is replaced by a sliced approximation over 1D distributions.
Recent Advances in Computer Science and Information Engineering: Volume 5 - Page 325
an, Lei Cao, Weilian Su - 2012 - 766 pages - Google eBook
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The Wasserstein miss-distance is proposed to evaluate the multitarget tracking performance [3]. Fig. 1. Plot of x and y components of position estimates (star) against time, superimposed on ground truth (solid line) (single experiment result) ... |
Issues in Statistics, Decision Making, and Stochastics: 2011 Edition - Page 240
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Wuhan University: Sanov's theorem in the Wasserstein distance: A necessary and sufficient condition “Let (X-n)(n >= 1) be a sequence of i.i.d.r.v.'s with values in a Polish space (E, d) of law mu,” investigators in Wuhan, People's Republic of ... |
Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization - Page ix, 30, 32
Toly Chen - 2012 - 382 pages
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Irpino and Verde (2008) has derived Equation (10) from another point of view, using the Wasserstein distance. To be more specific, let F1 and F 2 be distribution functions, the Wasserstein L2 metric is defined as follows (Gibbs & Su, 2002): ... |
Second Order Analysis on (P2(M), W2) - Page vii, xi, 2, 5, 6, 15, 16, 18, 49, 50, 51, 113, 123, 125, 154, 158
Nicola Gigli - 2012 - 154 pages
MR2344814 (2008j:49113) K.-T. Sturm, M.K. von Renesse, Entropic Measure and Wasserstein Diffusion, Ann. Probab. 37 (2009), pp. 1114–1191.
Robotics: Science and Systems VII - Page 166
e.comHugh Durrant-Whyte, Nicholas Roy, Pieter Abbeel - 2012 - 384 pages
C. Belief space metric To compute distance between beliefs in B (line 11 & 15 of Algorithm 1), GCS uses Wasserstein ... The Wasserstein distance WD(b,b) between two beliefs b,b ∈ B is the minimum expected distance in S among all ...
Using Survival Trees to Forecast Innovation Diffusion - Page 47, 48
books.google.comBurkhard von Wangenheim - 2012 - 108 pages
Figure 3-3: The 1L Wasserstein distance between two Kaplan-Meier curves Source: Zhang, Singer (1999), p. 94 Now, let us take )(1)(11tStF−=
and )(1)(22tStF−=. Note that F1 and F2 have all properties of a distribution function except that they ...
Visual Indexing and Retrieval - Page 25
books.google.comJenny Benois-Pineau, Frédéric Precioso, Matthieu Cord - 2012 - 107 pages - Google eBook
In that case, the EMD is equivalent to the 1st Mallows distance or 1st Wasserstein distance between the two distributions. Recently, Pele and Werman [163] proposed a modified version of EMD extending standard EMD to non-normalized ...
Professional Media Understanding: - Page 215
The Common Methods of Audio Retrieval, Biosignal Processing, Content-Based Image Retrieval, Face Recognition, Music Classification, Speech Recognition, Text Retrieval and Video Surveillance
books.google.comHorst Eidenberger - 2012 - 256 pages
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M5 inf x sup y mi(x, y) Bottleneck distance. M6 max sup x infy m i (x, y) , sup y ... j mi( ̄xj, yj )c( ̄xj, y j ) K Mallows distance [133] (a.k.a. Wasserstein distance, earth mover's distance), where c() is the cost function weighting the distances. B.3. |
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Issues in Mathematical Theory and Modeling: 2011 Edition - Page 186
books.google.com2012 - Google eBook
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“We use a probabilistic interpretation to obtain convergence towards equilibrium in Wasserstein distance with an explicit exponential rate. We also prove a propagation of chaos property for an associated particle system, and give rates on the ... |
Nonlinear Partial Differential Equations: The Abel Symposium 2010 - Page 315, 355
Helge Holden, Kenneth H. Karlsen - 2012 - 360 pages
... Wasserstein distance of order 1, W1(μ,ν) = sup: {∫ φdμ − ∫ φdν;φ1-Lipschitz } . Estimates of this sort are found in [95, Chap. 5] and date back to
the 1970s (Dobrushin [48], Braun and Hepp [24], Neunzert [87]).
Gangbo, W.: Hamiltonian ODE's in the Wasserstein space of probability
Foundations of Software Science and Computational Structures: - Page 451
15th International Conference, FOSSACS 2012, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2012, Tallinn, Estonia, March 24 -- April 1, 2012, Proceedings
Lars Birkedal - 2012 - 484 pages
... 7. van Breugel, F., Worrell, J.: Approximating and computing behavioural distances in probabilistic transition systems. ... (1986) Thorsley, D.,
Klavins, E.: Approximating stochastic biochemical processes with Wasserstein pseudometrics.
Finite Frames: Theory and Applications - Page 416, 423
Peter G. Casazza, Gitta Kutyniok - 2012
Given any nonzero vectors Φ = {φi }Mi=1, there are two natural embeddings into the space of probability measures, namely 1 ∑Mi=1φi2 M∑ i=1 φi 2 δφi/φi.
The 2-Wasserstein distance between μΦ and μΨ satisfies μΦ= 1 M M∑ i=1δφi and ...
Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition - Page 107
ScholarlyEditions, Jan 4, 2012
“The coupling arises from the Stokes drag force exerted by a phase on the other. ... (2010 DEC 7) SISSA, Trieste: Estimates On Path Functionals Over
Wasserstein Spaces “In this paper we consider the class a functionals (introduced in ...
Advances in Dynamic Games: - Page 44
Theory, Applications, and Numerical Methods for Differential and Stochastic Games
Pierre Cardaliaguet, Ross Cressman - 2012
An example of such a distance could be the classical Wasserstein distance or the Monge–Kantorovich distance between ... additive white Gaussian noise (AWGN) multiple-access channel with N senders with coupled constraints (or actions).
Metric and Differential Geometry: The Jeff Cheeger Anniversary Volume - Page 106
Xianzhe Dai, Xiaochun Rong - 2012
In 2005, Sturm introduced a new distance between metric measure spaces which leads to such limits more naturally and also interacts well with mass transport notions mentioned above [65]. He uses the Wasserstein distance, Wp, to measure
Integrated Tracking, Classification, and Sensor Management: Theory and Applications - Page 93, 94
Mahendra Mallick, Vikram Krishnamurthy, Ba-Ngu Vo - 2012
This distance was termed the Wasserstein metric in [44] because it yields the pth order Wasserstein metric between the empirical distributions of the point patterns Xand Y. The OMAT metric is not necessarily better than the Hausdorff ...
Operator Theory: - Page 310, 317, 318, 319, 320, 321
Advances and Applications, Mathematical Methods in Systems, Optimization, and Control: Festschrift in Honor of J. William Helton
Harry Dym, Mauricio C. de Oliveira, Mihai Putinar - 2012
Now noting the characterization of the Wasserstein norm from Equation (16), we see that the steepest gradient direction (with respect to the Wasserstein metric) is given by μt = div(μ∇logμ)=Δμ, which is the linear heat equation.
Thus inspired by the Benamou and Brenier [4], given two “points,” [14],}11 G D, the geodesic (Wasserstein) distance is: 1 ...
Habib Ammari, Yves Capdeboscq, Hyeonbae Kang - 2012 AMS Cont Math 577
We consider a nonlinear fourth-order diffusion equation that arises in denoising of image densities as the Wasserstein gradient flow of the total variation.
Here, W2 (u0 Ld,uLd) is the 2–Wasserstein distance between u0Ld and uLd (Ld denotes the Lebesgue measure in Rd, d = 1,2) and defines a distance within the space of probability measures [3, 20, 21, 1, 17]. This minimisation problem can be interpreted as a discrete in time approximation of a solution of the gradient flow (1.1) of E(u) with respect to the L2 Wasserstein metric.
Problems in Probability - Page 229, 243
Al'bert Nikolaevich Shiriaev - 201
O (a) Prove that the function d2 I d2(F, G), which is known as the Wasserstein metric, is indeed a metric and the space 82 is complete for the metric d2.
e-Study Guide for: Asymptotic Theory of Statistics and Probability for Statistics and Machine Learning: Fundamentals and Advanced Topics by Anirban DasGupta
ISBN 9780387759708 Cram101 Reviews, Anirban DasGupta - 2012 - 43 pages
Eigenfunction Cell David V. Hinkley Wasserstein deterministic or essentially probabilistic) which is
analyzable in terr ... one pile into the other, Vi assumed to be the amount of dirt that needs to be moved times the distance it has to be moved
The name 'Wasserstein/Vasershtein distance'
Just the FACTS101 E-Study Guide For: Probability for Statistics and Machine Learning
ISBN 9781441996336 Cram101 Reviews, Anirban DasGupta - 2012 - 43 pages
Wasserstein Wasserstein Distance In mathematics, the Wasserstein (or Vasershtein) metric is a distance function defined between probability distributions on a given metric space M. Intuitively, if each distribution is viewed as a unit amount of ...
e-Study Guide for: Introduction to Probability and Statistics by William Mendenhall
Cram101 Textbook Reviews - 2012
Wasserstein metric d. Infinite monkey theorem 4. A ______ is a single measure of some attribute of a sample (e.g. its arithmetic mean value). It is calculated by applying a function (statistical algorithm) to the values of the items comprising the
e-Study Guide for: Elementary Statistics, A Brief Version by Allan Bluman
Cram101 Textbook Reviews - 2012
For tossing two coins, the ______ is {(head,head), (head,tail), (tail,head), (tail,tail)}. a. Sample space b. Subjectivism c. Wasserstein metric d. Christopher Cattan ...
e-Study Guide for: Probability, Statistics, and Stochastic Processes by Peter Olofsson
Cram101 Textbook Reviews - 2012 -
Standard probability space b. Subjectivism c. Wasserstein metric d. Sample space 5. In mathematics, a ______ is a set with some added structure. Mathematical _________s often form a hierarchy, i.e., one
e-Study Guide for: Stats: Modeling the World by David E. Bock, ... Cram101 Textbook Reviews - 2012
... if the experiment is tossing a coin, the ______ istheset {head, tail}. For tossing two coins, the ______ is {(head,head), (head,tail), (tail,head), (tail,tail)}. a. Standard probabilityspace b. Subjectivism c. Wasserstein metric d. Sample space 3. In.
e-Study Guide for: Statistical Ideas and Methods by Jessica M Utts
Cram101 Textbook Reviews - 2012
... (tail,tail)}. a. Standard probability space b. Subjectivism c. Wasserstein metric d.Sample space Chapter 8. Random Variables ANSWER KEY 0. b.
e-Study Guide for: Discrete Calculus: Applied Analysis on Graphs for Computational Science by Leo J. Grady
Cram101 Textbook Reviews - 2012
Total variation c. Typical set d.Wasserstein metric 3. ______ is a class ofmachine learning techniques that make use ofboth labeled and unlabeled data for training typicallya small amount oflabeled data with a large amount ofunlabeled data.
e-Study Guide for: Fundamentals of Biostatistics by Bernard Rosner
Cram101 Textbook Reviews - 2012
For tossing two coins, the ______ is {(head,head), (head,tail), (tail,head), (tail,tail)}. a. Standard probability space b. Subjectivism c. Wasserstein metric d. Sample space 5.
e-Study Guide for: Probability and Statistics for Engineers and Scientists
Cram101 Textbook Reviews - 2012 ISBN147840180X, 9781478401803 47 pp
Wasserstein metric d. Structural equation modeling 5. In mathematics, a ______ is a setwith some added structure. Mathematical _________s often form a hierarchy, i.e., one ______ mayinherit all the characteristics ofa parent ______.
On the Shape of a Pure O-Sequence - Page 83
Mats Boij - 2012
... Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ... manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part
N-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians - Page 110
Tadeusz Iwaniec, Tadeusz Iwaniec and Jani Onninen - 2012 Mem AMS
... Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ... manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part
Joel A. Smoller, Blake Temple - AMS 2012 69 pp
... Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ... manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part
The Lin-Ni's Problem for Mean Convex Domains - Page 110
Olivier Druet, Frederic Robert, Juncheng Wei - 2012
... Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ... manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part
The Goodwillie Tower and the Ehp Sequence - Page 95
Mark Behrens - 2012
... Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, ... manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part
Gap Junctions in the Brain: Physiological and Pathological Roles - Page 276
Ekrem Dere - 2012
Role of olivary electrical coupling in cerebellar motor learning. Neuron 58, 599e612. Vandecasteele ... coupling is required for proper insulin production. J. Cell Biol. 131, 1561e1572. ... Wasserstein, J., 2005. Diagnostic issues for adolescents ...
Asymptotic Methods in Statistical Decision Theory Lucien Le Cam - 2012
Springer London, Limited, Jul 31, 2012 - 772 pages
ISBN-13: 9781461293699
Wasserstein
Stochastic Analysis and Related Topics - Page 203, 208
Laurent. Decreusefond, Jamal. Najim - 2012
In the case of Wiener space, we can define a stronger Wasserstein metric using the Cameron–Martin norm as we have already done in [5, 6] as follows: d2H.P;Q/ D
Infinite-Dimensional Representations Of 2-Groups - Page 125
John C. Baez, Aristide Baratin, Laurent Freidel - 2012 Mem AMS
... 2011 Wilfrid Gangbo, Hwa Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, 2011 Ralph Greenberg, Iwasawa theory, projective modules, and modular representations, ...
Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations - Page 136
Igor Burban, Bernd Kreuler - 2012
Extended Graphical Calculus for Categorified Quantum Sl(2) - Page 92
Mikhail Khovanov - 2012
... 2011 Wilfrid Gangbo, Hwa Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, 2011 Ralph Greenberg, Iwasawa theory, projective modules, and modular representations, ...
Finite Order Automorphisms and Real Forms of Affine Kac-Moody Algebras in the Smooth and Algebraic Category - Page 71
Memoirs of the American Mathematical Society, American Mathematical Society, ISSN 0065-9266
Ernst Heintze, Christian Gross - 2012
... 2011 Wilfrid Gangbo, Hwa Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, 2011 Ralph Greenberg, Iwasawa theory, projective modules, and modular representations, ...
Modular Branching Rules for Projective Representations of Symmetric Groups - Page 128
A S Kleshcheev, Vladimir Shchigolev - 2012
Wasserstein space
The Reflective Lorentzian Lattices of Rank 3 - Page 113
Daniel Allcock - 2012 Mem AMS
Wasserstein space
Elliptic Integrable Systems: A Comprehensive Geometric Interpolation - Page 222
Idrisse Khemar - 2012 Mem AMS
... 2011 Wilfrid Gangbo, Hwa Kil Kim, and Tommaso Pacini, Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems, 2011 Ralph Greenberg, Iwasawa theory, projective modules, and modular representations, ...
Reifenberg Parameterizations for Sets With Holes - Page 106
Guy David, Tatiana Toro - 2012 Mem AMS
Wasserstein space
On L-Packets for Inner Forms of SLn - Page 101
Kaoru Hiraga, Hiroshi Saito - 2012 Mem AMS
Wasserstein space
Dimer Models and Calabi-Yau Algebras - Page 90
Nathan Broomhead - 2012 Mem AMS
Wasserstein space
Chevalley Supergroups - Page 68
MR2918543 Fioresi, R.; Gavarini, F. Chevalley supergroups. Mem. Amer. Math. Soc. 215 (2012), no. 1014, vi+64 pp. ISBN: 978-0-8218-5300-9 14M30 (17Bxx 58A50)
Wasserstein space
Weighted Shifts on Directed Trees - Page 111
Zenon Jan Jablónski, Il Bong Jung, Jan Stochel - 2012 Mem AMS
Wasserstein space
Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates - Page 136
Jun Kigami - 2012 Mem AMS
Wasserstein space
Towards a Modulo $p$ Langlands Correspondence for GL$_2$ - Page 118
Chistophe Breuil, Vytautas Paskunas - 2012 Mem AMS
Wasserstein space
The Hermitian Two Matrix Model with an Even Quartic Potential - Page 109
Maurice Duits, Maurice Duits, Arno B.J. Kuijlaars, and Man Yue Mo - 2012 Mem AMS
Wasserstein space
Networking Seifert Surgeries on Knots - Page 134
Arnaud Deruelle, Arnaud Deruelle, Katura Miyazaki, and Kimihiko Motegi - 2012 Mem AMS
Wasserstein space
Computational Modelling of Objects Represented in Images: - Page 119, 312
Fundamentals, Methods and Applications (Rome, Italy, 5-7 September 2012).
Paolo Di Giamberardino, Daniela Iacoviello, Jo O Manuel R S Tavares - CRC Press, Aug 28, 2012 - 496 pages
Wasserstein distance
[PDF] Further Results on Probabilistic Model Validation in Wasserstein Metric - Page title
A Halder, R Bhattacharya - …IEEE Conference on Decision and Control, Maui, Dec. 2012. people.tamu.edu
Abstract—In a recent work [1], we have introduced a probabilistic formulation for the model
validation problem to provide a unifying framework for (in) validating nonlinear deterministic
and stochastic models, in both discrete and continuous time. As an extension to that work, ...
2011 International Conference in Electrics, Communication and Automatic Control Proceedings - Page 1710
Ran Chen - Springer, 2012 - 1746 pages ISBN1441988491, 9781441988492
Multitarget PHD Particle Filter Tracker Based on Single-Target PHD
L Zhao, X Su, P Ma -
... The Wasserstein distance between the position estimates of the multitarget state and ground
truth at each time step is used as a multitarget miss- distance as shown in Fig. 221.2. ... 1710 L.
Zhao et al. Fig. 221.2 Wasserstein distances of the two trackers 0 5 10 15 20 25 30 0 5 10 ...
ISBN 978-1-4419-8848-5
[PDF] Power variations of heavy tailed jump diffusions in paleoclimatic time series - Page 2
J Gairing, P Imkeller - … Assembly Conference …, 2012 - meetingorganizer.copernicus.org
... The method compares the empirical variation paths with their theoretical limits in terms
of the Kolmogorov- Smirnov (uniform) and Wasserstein metrics. We subdivide the data
set into blocks and measure the power variation along these blocks. ...
Abstract: In a recent work [1], we have introduced a probabilistic formulation for the model validation problem to provide a unifying framework for (in)validating nonlinear deterministic and stochastic models, in both discrete and continuous time. As an extension to that work, this paper provides rigorous performance bounds for the model validation algorithms presented in [1]. Further, it is shown that the existing method of barrier certificate based nonlinear invalidation oracle, can be recovered as a special case of the proposed formulation. Some results are derived to quantify the effects of initial uncertainty on the Wasserstein gap. And finally, for discrete-time LTI and LTV systems, upper bounds on Wasserstein distance are derived in terms of the parameters of the systems under comparison, thus providing an offline estimate of the gap.
CRITERIA OF COMPACTNESS IN L p-SPACES - Page 520 in pdf
VI Chilin, BA Rakhimov - … Journal of Modern Physics: Conference …, 2012 - World Scientific
... Clustering methods traditionally applied to gene expression data. These methods require
a metric (Euclidean, Boolean metrics, the Wasserstein distance and many others) and study
of compactness in the spaces of the models of different choices. ...
ISSN: 2010-1945
Control and Decision Conference (CCDC), 2012 24th Chinese 23-25 May 2012 Taiyuan, China
Convergence analysis of asymmetric homogeneous Deffuant-Weisbuch model
J Zhang, G Chen, Y Hong - Control and Decision Conference ( …, 2012 - ieeexplore.ieee.org
... empirical opinion density will concentrate around the solution of a probability measure-valued
ordinary differential equation, which describes the system's mean-field dynamics, at an exponential
probability rate under the measure of first- order Kantorovich-Wasserstein distance. ...
ISBN 978-1-4577-2073-4
Information Reuse and Integration (IRI), 2012 IEEE 13th International Conference on 8-10 Aug. 2012 Las Vegas, USA
CTJ Dodson - … IEEE Conference on Information Reuse …, 2012 - maths.manchester.ac.uk
... IEEE Transactions on Informa- tion Theory 57, 8 (2011) 5455-5466. [24] J. Rabin and G. Peyré.
Wasserstein Regulariza- tion of Imaging Problem. In Proc. ... [28] Asuka Takatsu. On Wasserstein
geometry of the space of Gaussian measures. (2011) arXiv:0801.2250v3. ...
American Control Conference (ACC), 2012
27-29 June 2012 Fairmont Queen Elizabeth in Montréal.
Geometric methods for structured covariance estimation
L Ning, X Jiang, T Georgiou - American Control Conference (ACC), 2012 - ieeexplore.ieee.org
... Determine d2 W2 (px,py) := inf p { E(|x − y|2) | ∫ x p = py, ∫ y p = px } (9) The metric dW2
is known as the Wasserstein metric and, quite surprisingly, also induces a Riemannian
structure on proba- bility densities [14], [15] – a rather deep result. ...
RIMS meeting: Potential Theory and its Related Fields
September 3 - 7, 2012 Research Building No. 8 Lecture Room 2, Faculty of Engineering, Kyoto University
Organizers: Kentaro Hirata (Akita) Chair Jun Kigami (Kyoto) Masaharu Nishio (Osaka) Hiroaki Aikawa (Sapporo)
Program and Abstracts pdf - Page 16, 17, 18
Lp-Wasserstein distance between µ0 and µ1 by Wp (µ0, µ1). ...
VIGTA '12 Proceedings of the 1st International Workshop on Visual Interfaces for Ground Truth Collection in Computer Vision Applications
AR Shah, SR Dalal -RAND Corporation, Santa Monica, California… - ACM New York, NY, USA ©2012
ISBN: 978-1-4503-1405-3
... An example of a metric to compare how different two images are the Wasserstein metric [10],
that can be computed on 1- dimensional pixel intensity histograms or the related Earth Mover
Distance (EMD) on superpixels which preserve geo- metric and topological structure [1]. It ...
Topics in Random Matrix Theory - Page 35
Terence Tao - 2012
There are other interesting modes of convergence on random variables and on distributions, such as convergence in total variation norm, in the Lévy-Prokhorov metric, or in Wasserstein metric, but we will not need these concepts in this text.
Wasserstein 2013
Further Results on Probabilistic Model Validation in Wasserstein Metric. A. Halder and R. Bhattacharya Submitted, 2013. Preprint.
Abstract:This paper connects the time-domain uncertainty propagation approach for model validation in Wasserstein distance 2W2, introduced by the authors in [1], with the frequency domain model validation in the same. To the best of our knowledge, this is the first frequency domain interpretation of Monge-Kantorovich optimal transport. It is shown that the asymptotic 2W2 can be written as functions of the H2 norms of the system gains, which have intuitive meaning. A geometric interpretation for this newly derived frequency-domain formula is given. The geometric interpretation helps us in comparing Wasserstein distance with classical frequency-domain validation metrics like nu-gap.
Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization - Page iv, 30, 32
Toly Chen - 2013
Irpino and Verde (2008) has derived Equation (10) from another point of view, using the Wasserstein distance. To be more specific, let F1 and F 2 be distribution functions, the Wasserstein L2 metric is defined as follows (Gibbs & Su, 2002): ...
Vasershtein 2013 4 books
The Monge-Kantorovich problem: achievements, connections, and perspectives - Page 796, 797, 852, 881
VI Bogachev, AV Kolesnikov - Russian Mathematical Surveys, 2013 - iopscience.iop.org
Page 1. The Monge-Kantorovich problem: achievements, connections, and perspectives This article
has been downloaded from IOPscience. Please scroll down to see the full text article. 2012 Russ.
Math. Surv. 67 785 (http://iopscience.iop.org/0036-0279/67/5/R01) ...
Vaserstein 2013
The local-global principle in commutative algebra
E Kunz - Introduction to Commutative Algebra and Algebraic …, 2013 - Springer
... Hence, by III.4.1, there is an 8 E S that annihilates all the coefficients of the matrix. But then
At(8X) · A2(8X)- A3(8X) = 0. Theorem 1.18. (Vaserstein) A E M(r x 8; R[X]) is equivalent to
A(O) if and only if A is locally equivalent to A(O) for all m E Max(R). Proof. ...
Selected Works of Peter J. Bickel - Page 366
Jianqing Fan, Ya'acov Ritov, C.F. Jeff Wu - Springer 2013
Calculation of the Vasershtein distance between probability distributions on the line.
ISBN1461455448, 9781461455448
On asymptotics for Vaserstein coupling of Markov chains
by OA Butkovsky - 2013
Apr 25, 2013 - We prove that strong ergodicity of a Markov process is linked with a spectral radius of a certain “associated” semigroup operator, although, not a “natura.
Ideals and Reality: Projective Modules and Number of Generators of Ideals
By Friedrich Ischebeck, Ravi A. Rao Springer 2013
Jan 3, 2013 - A study of projective modules and their connections with topological vector bundles in a form due to Vaserstein is included. Important subsidiary results appear in the copious exercises.
Chapter IV The local-global principle in commutative algebra
E Kunz - Introduction to Commutative Algebra and Algebraic …, 2013 - Springer
... Hence, by III.4.1, there is an 8 E S that annihilates all the coefficients of the matrix. But then
At(8X) · A2(8X)- A3(8X) = 0. Theorem 1.18. (Vaserstein) A E M(r x 8; R[X]) is equivalent to
A(O) if and only if A is locally equivalent to A(O) for all m E Max(R). Proof. ...
Ernst Kunz - 2013
(Vaserstein) A G M (r X s;R[X]) is equivalent to A(O) if and only if A is locally equivalent to A(O) for all m G Max(R). Proof. Let A and A(O) be locally equivalent for all m G Max(R). Let I denote the set of all a G R with the following property: For all f ...
Münster, April 2011 (Google eBook)
J. Coates, Peter. Schneider, R. Sujatha - 2013
... here radR is the radical of the ring R. If R has finitely many maximal left ideals, then R is semilocal. The following result of Vaserstein is very useful. Proposition 2.4. Let R be a semilocal ring. Then the natural inclusion of R D GL1.R/ into GL.
Ernst Kunz - 2013
(Vaserstein) A G M (r X s;R[X]) is equivalent to A(O) if and only if A is locally equivalent to A(O) for all m G Max(R). Proof. Let A and A(O) be locally equivalent for all m G Max(R). Let I denote the set of all a G R with the following property: For all f ...
J.M. Albala-Bertrand - 2013
1982', Vaserstein 2003). Other types of studies are meant to be analytical rather than numerical, normally associated with two- or three-sector macroeconomic models. For example, Freeman et al. (2002) develop a variation of a two-gap macro
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The International Conference on Image Processing (ICIP),
September 30 - October 3, 2012 at the Disney Coronado Springs Resort, located in Lake Buena Vista, Florida
Cimpa 2012 Dakar
Présentation de l'équipe de géométrie PDF Imprimer Envoyer
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total 819
1970-76 32
1977-82 49
1983-85 8 + 13 + 12 = 34
1986-88 16 + 13 + 22 = 51
1989-91 20 + 17 + 16 = 53
1992-94 24 + 11 + 13 = 48
1995-97 13 + 11 + 17 = 41
1998-2000 11 + 20 + 19 = 49
2001-2003 13 + 20 + 24 = 57
2004-2006 34 + 24 + 34 = 92
2007-2009 26 + 30 + 30 = 86
2010 44+13 +4 = 61
2011 67+11+1+3 = 82
2012 68 + 8 = 76
2013 2+ 1+ 9 = 12