My name in title from Math Reviews
My name in title from other sources
Vaserstein without Math. Reviews 2 items
L Vaserstein - 1980 - ecommons.library.cornell.edu
... Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/15168. Title: Leonid
Vaserstein Interview. Authors: Vaserstein, Leonid. Issue Date: Aug-1980. URI: http://hdl.handle.
net/1813/15168. Appears in Collections: Vaserstein, Leonid N. Files in This Item: ...
On asymptotics of Vaserstein's coupling for a Markov chain
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by OA Butkovsky - Cited by 2 - Related articles
On asymptotics of Vaserstein's coupling for a. Markov chain. O.A.Butkovsky. ∗. & A.Yu.Veretennikov. †. Abstract. In this paper rate of convergence to stationary ...
July 25-29 2011
Wasserstein 1973-1989 without Math. Reviews 4 items
S. S. Vallander, “Calculation of the Wasserstein distance between probability distributions on the line”, Teor. Veroyatnost. i Primenen., 18:4 (1973), 824–827. English translation: Theory Probab. Appl., 18(4), 784–786. (3 pages)
... Calculation of the Wasserstein distance between probability distributions on the line SS Vallander
Abstract: We prove that the Wasserstein distance between probability distributions on the line
coincides with the $L^1$-distance between their distribution function. ...
AOMOTO KAZUHIKO Nagoya University of Liberal Arts
Addendum: Calculation of the Wasserstein Distance between Probability Distributions on the Line
S.S. Vallander
Theory Probab. Appl. 26 435 (1982)
Lp-Wasserstein-Metriken [Lp-Wasserstein-Metriken] und Approximationen stochastischer Differentialgleichungen
Matthias Gelbrich, Matthias Gelbrich - 1989
Wasserstein 1990-1993 without Math. Reviews 5 items
Relations between the iyo processes based on the wasserstein function
W Choi - 1993 - mathnet.or.kr
Communications of the Korean Mathematical Society ( Vol.8 NO.4 / 1993 ). Title, Relations
between the iyo processes based on the wasserstein function(eng). Author, Won Choi. MSC,
Publication, Page, 793-797 Page. Abstract, Own Status, Keyword, Note, Summary, Attach,
Skorhod representation theorem and Wasserstein metrics
JA Cuesta Albertos - 1991 - opensigle.inist.fr 19 pp
... Please use this identifier to cite or link to this item: http://hdl.handle.net/10068/294976.
Authors: Cuesta Albertos, Juan
A. Matran Bea, Carlos Cantabria Univ., Santander (Spain). Dept. ...
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
Aplicaciones crecientes. Relaciones con las métricas Wasserstein
MA Tuero Díaz - 1991 - dialnet.unirioja.es
Resumen: DEMOSTRACIONES DE LA MEDIBILIDAD Y CONTINUIDAD DE LAS
APLICACIONES CRECIENTES EN ESPACIOS DE HILBERT, SI PN CONVERGEN
DEBILMENTE HACIA PY (X, HN (X)) SON EMPAREJAMIENTOS OPTIMOS (EO) ENTRE ...
Cited by 1 - Related articles - Cached - All 2 versions
Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals
S.T. Rachev and R.M. Shortt. google books
Warszawa : Państwowe Wydawn. Naukowe, 1990. 39 pp 8301099704 9788301099701
Zbl 0716.60005 Rachev, S.T.; Shortt, R.M. Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals. (English)
[J] Diss. Math. 299, 35 p. (1990). ISSN 0012-3862
Wasserstein 1994-1999 without Math. Reviews 6 items
JA Cuesta-Albertos, E Del Barrio, C Matrán - 1999 - Citeseer
Abstract Given P1 and P2 in the set of probabilities on the line with nite second order
moment, P2 (<); the L2-Wasserstein distance between P1 and P2, is de ned as the lowest L2-
distance between random variables with these distribution laws. When P 2 P2 (<); has ...
Published 1999
张兆基 - 浙江大学学报: 自然科学版, 1994 - cqvip.com
我们解答了一个Vasertein 的公开问题: 给定任意整数P, 及M, Z 中矩阵A, 是否存在M, Z 中矩阵X
与Y, 使得A= X+ Y, 且det (x)= p= det (y)? 我们的解答是: 若n 为偶数, 侧答案总是肯定的; 而当n
为奇数时, 则答案是肯定的当且仅当2p 被A 中所有元的最大公因数整除.
R Arratia - preprint, 1996 available from rarratia@math.usc.edu (1996)
Cited by 10 - Related articles . cited in in Microsurveys in Discrete Probability: Dimacs Workshop, June 2-6, 1997 By D. David J. Aldous, James Propp and Contemporary Combinatorics edited by Bela Bollobas
Series: Bolyai Society Mathematical Studies, Vol. 10 2002, II, 300 p.
[CITATION] Independence of small prime factors of a uniformly distributed integer: total variation and Wasserstein metrics
R Arratia - 1996 - Manuscrit
Aplicaciones de las métricas de Wasserstein al análisis de datos
JM Rodríguez Rodríguez - 1997 - dialnet.unirioja.es
Resumen: SE DAN APLICACIONES DE LAS METRICAS DE WASSERSTEIN A LA
ESTADISTICA Y AL ANALISIS DE DATOS, LAS APLICACIONES SE BASAN EN LA
COMPARACION DE UNA DISTRIBUCION CON UNA FAMILIA DE DISTRIBUCIONES DE ...
Alison L Gibbs - 1999 - Citeseer
Abstract This paper gives precise bounds on the convergence time of the Gibbs sampler
used in the Bayesian restoration of a degraded image. Convergence to stationarity is
assessed using the Wasserstein metric, rather than the usual choice of total variation ...
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published 2004
Wasserstein 2000-2003 without Math. Reviews 7 items
Testing for Weibull scale families as a test case for Wasserstein correlation tests [Discussion of del Barrio, Cuesta-Albertos and Matran]
S Csorgo - , Test 9 (2000), pp. 54-70.
(Discussion of
MR1740113 (2001a:60024) del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos; Rodríguez-Rodríguez, Jesús M. Tests of goodness of fit based on the $L_2$-Wasserstein distance. Ann. Statist. 27 (1999), no. 4, 1230--1239. (Reviewer: Lajos Horváth) 60F05 (60F25 62E20) }
[PDF] Mixed L2-Wasserstein Optimal Mapping Between Prescribed Densities Functions
[PDF] from psu.eduJDBY Brenier - 2000 - Citeseer
Abstract A time dependent minimization problem for the computation of a
mixedL2/Wasserstein distance between two prescribed density functions is introduced (in
the spirit of 1] for the\ classical" Wasserstein distance). The optimum of the cost function ...
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[CITATION] Wasserstein-metric
L. Rüschendorf, “Wasserstein metric”, in Hazewinkel Michiel, Encyclopaedia of Mathematics, Kluwer Academic Publishers, 2001.
Cited by 10 - Related articles
[CITATION] Asymptotics for L 2-functionals of the quantile process with application to tests of fit based on weighted Wasserstein distances
Eustasio Del Barrio, Evarist Giné, and Frederic Utzet … - Preprint, 2002 Bernoulli Volume 11, Number 1 (2005), 131-189.
[CITATION] Asymptotics for empirical Wasserstein distances
Eustasio del Barrio Department of Statistics and Operations Research, University of Valladolid, Prado de la Magdalena S/N, 47005, Valladolid, Spain [tasio@eio.uva.es]
Feb 23, 2001 –
Asymptotics for Wasserstein distances pdf
E del Barrio - unavarra.es
Wp is a metric on the space of probability measures with finite p-th moment that metrices weak
convergence plus convergence of p-th moments. These metrics have interesting applications
in Probability and Statistics, remarkably in the problem of testing goodness of fit. Here we ...
T De Wet - Test, 2002 - Springer
Abstract In two recent papers del Barrio et al.(1999) and del Barrio et al.(2000) consider a
new class of goodness-of-fit statistics based on theL 2-Wasserstein distance. They derive
the limiting distribution of these statistics and show that the normal distribution is the only ...
Cited by 20 Related articles All 7 versions Cite
Wasserstein 2004-2005 without Math. Reviews 10 items
Contractivity of Wasserstein-type distances:
asymptotic profiles, equilibration rates and qualitative properties.
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José A. Carrillo. Instituci`o Catalana de. Recerca i ...
Paris 2004
[PDF] A fourth-order nonlinear PDE as gradient flow of the Fisher information in Wasserstein spaces
[PDF] from cnr.itU Gianazza, G Savaré… - Preprint, Universita di Pavia, Italy, 2004 - imati.cnr.it
Page 1. A fourth-order nonlinear PDE as gradient flow of the Fisher information in Wasserstein
spaces Giuseppe Savar ´e ... Page 2. Plan 1. The fourth order equation and its structure 2. Gradient
flows and Wasserstein distance 3. Main results and ideas involved in the proof ...
Cited by 11 - Related articles - View as HTML - All 3 versions
Gradient Flows: In Metric Spaces and in the Space of Probability Measures - Page 1, 15, 18, 155, 160, 168
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré - 2054 - Birkhäuser. Secend edition 2008
[PDF] Wasserstein metrics and empirical distributions in stability of stochastic programs
[PDF] from jcu.czM Houda - … of the International Conference Quantitative Methods …, 2004 - ef.jcu.cz
Abstract Practical economic problems often ask for optimization procedures, not
unfrequently with random inputs leading thus to stochastic programming models. The
randomness is modelled through the underlying probability distribution, which is assumed ...
Cited by 2 - Related articles - View as HTML
[PDF] Notes on a Wasserstein metric convergence method for Fokker-Planck equations with point controls
[PDF] from cmu.eduL Petrelli - 2004 - math.cmu.edu
Abstract We employ the Monge-Kantorovich mass transfer theory to obtain an existence and
uniqueness result for Fokker-Planck Equations with time dependent point control. We prove
existence for an approximate problem and then show convergence in the Wasserstein ...
Cited by 1 - Related articles - View as HTML - All 5 versions
by José A. Carrillo , Robert J. Mccann , Cédric Villani
Abstract An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through model representing the continuum limit of a gas of particles interacting through slightly inelastic collisions. This rate is obtained by reformulating the dynamical problem as the gradient flow of a convex energy on an infinite-dimensional manifold. An abstract theory is developed for gradient flows in length spaces, which shows how degenerate convexity (or even non-convexity) — if uniformly controlled — will quantify contractivity (limit expansivity) of the flow.
[PDF] Wasserstein metric and large–time asymptotics of nonlinear diffusion equations
[PDF] from unipv.itJA Carrillo… - New Trends in Mathematical Physics (In …, 2005 - mate.unipv.it
We review here various recent applications of Wassertein–type metrics to both nonlinear
partial differential equations and integro–differential equations. Among others, we can
describe the asymptotic behavior of nonlinear friction equations arising in the kinetic ...
Cited by 36 - Related articles - View as HTML - All 4 versions
Optimal quantizer performance and the Wasserstein distortion
S Matloub, DB O'Brien… - … , 2005. Proceedings. DCC …, 2005 - ieeexplore.ieee.org
Abstract The Wasserstein distortion has proved useful in a variety of mathematical, signal
processing and coding problems as a measure of how different two distributions are. In this
paper we provide an expression for the performance of the optimal entropy constrained ...
Cited by 2 - Related articles - All 7 versions
[PDF] On constrained optimization in the Wasserstein metric
[PDF] from cmu.eduA Tudorascu - 2005 - math.cmu.edu
Abstract In this paper we prove the monotonicity of the second-order moments of the discrete
approximations to the heat equation arising from the Jordan-Kinderlehrer-Otto (JKO)
variational scheme [7]. This issue appears in the study of constrained optimization in the 2 ...
Related articles - View as HTML - All 2 versions
J.A. Carrillo, G. Toscani, Wasserstein metric and large--time asymptotics of nonlinear diffusion equations,
in New Trends in Mathematical Physics, (In Honour of the Salvatore Rionero 70th Birthday), 234-244,
(2005, Hardcover) World Scientific Publishing Company, Incorporated ISBN-10: 9812560777 | ISBN-13: 9789812560773
2006 without Math. Reviews 8 items
Lecture 1: Main Models & Basics of Wasserstein Distance
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Presentation of models. Wasserstein Distance: Basics. Contractivity in 1D. Lecture 1: Main Models & Basics of. Wasserstein Distance. J. A. Carrillo ...
in 3rd SUMMER SCHOOL ON ''METHODS AND MODELS OF KINETIC THEORY'' (M&MKT 2006)
Porto Ercole (Grosseto, Italy) June 4-10, 2006
A new Wasserstein based distance for the hierarchical clustering of histogram symbolic data
[PDF] from turingbirds.comA Irpino… - Data Science and Classification, 2006 - Springer
Symbolic Data Analysis (SDA) aims to to describe and analyze complex and structured data
extracted, for example, from large databases. Such data, which can be expressed as
concepts, are modeled by symbolic objects described by multivalued variables. In the ...
Cited by 16 - Related articles - All 5 versions
[PDF] Dynamic clustering of histograms using Wasserstein metric
[PDF] from psu.eduA Irpino, R Verde… - COMPSTAT, 2006 - Citeseer
In the present paper we present a new distance, based on the Wasserstein metric, in order
to cluster a set of data described by distributions with finite continue support. The proposed
distance allows to define a measure of inertia of data with respect a barycenter that ...
Cited by 13 - Related articles - View as HTML - All 3 versions
Necessary optimality conditions for geodesics in weighted Wasserstein spaces
[PDF] from arxiv.orgL Ambrosio… - Arxiv preprint math/0603435, 2006 - arxiv.org
Abstract: The geodesic problem in Wasserstein spaces with a metric perturbed by a
conformal factor is considered, and necessary optimality conditions are estabilished in a
case where this conformal factor favours the spreading of the probability measure along ...
Cited by 9 - Related articles - BL Direct - All 12 versions
[CITATION] Diffusion is a 2-Wasserstein contraction on any manifold evolving by reverse Ricci flow
RJ McCann… - Preprint, 2006
2007 without Math. Reviews 11 items
IRPINO A., VERDE R. (2007). Clustering linear models using Wasserstein distance. In: classification and data analysis 2007, book of short paper. cladag 2007. macerata. 12-14 september 2007. (pp. 107-110). ISBN/ISSN: 978-88-6056-020-9. MACERATA: eum (ITALY).
Histogram based segmentation using Wasserstein distances
Scale Space and Variational Methods in Computer Vision
Tony Chan, Selim Esedoglu and Kangyu Ni
Lecture Notes in Computer Science, 2007, Volume 4485/2007, 697-708,
Wasserstein Space and Fokker-Planck Equation
S Fang - 2007 Wiley China 方诗赞
[PDF] Weighted L2-Wasserstein Goodness-of-Fit Statistics
[PDF] from unipd.itT de Wet - stat.unipd.it
Abstract: In two recent papers, del Barrio et al.[2] and del Barrio et al.[3], the authors
introduced and studied a new class of goodness-of-fit statistics for location-scale families,
based on L2-functionals of the empirical quantile process. These functionals measure the ...
[PDF] from u-bourgogne.frS FANG, J SHAO… - math.u-bourgogne.fr
Abstract The goal of this paper is to study optimal transportation problems and gradient flows
of probability measures on the Wiener space, based on and extending fundamental results
of Feyel-Ustünel. Carrying out the program of Ambrosio-Gigli-Savaré, we present a ...
S Lisini - Bollettino dell unione matematica italiana. Sezione A: …, 2007 - dialnet.unirioja.es
Información del artículo Curve assolutamente continue negli spazi di Wasserstein con applicazioni
all'equazione di continuità e ad equazioni di diffusione non lineare. ...
Rend. Lincei Mat. Appl. 18 (2007), 23–37
[PDF] from ems-ph.org RLM Appl - ems-ph.org
ABSTRACT.—The geodesic problem in Wasserstein spaces with a metric perturbed by a
conformal factor is considered, and necessary optimality conditions are established in a
case where this conformal factor favours the spreading of the probability measure along ...
[PDF] Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws
[PDF] from uab.esJA Carrillo, M Di Francesco… - Boll. Unione Mat. Ital. Ser. B …, 2007 - mat.uab.es
Abstract. In this work, recent results concerning the long time asymptotics of one–
dimensional scalar conservation laws with probability densities as initial data are reviewed
and further applied to the case of viscous conservation laws with nonlinear degenerate ...
[PDF] from univaq.itM Di Francesco - Equadiff, 2007 - matematica.univaq.it
Our idea follows the paper of Carrillo–Di Francesco–Toscani (ARMA 2006) for nonlinear
diffusion equations ut=∆ φ (u), where the solution u is rescaled by its own second moment.
We require the additional assumption on f∃ α∈(0, 1), r↦→ f (r) 1− α is convex on (0,+∞).( ...
Poster Presentations-3 Image Segmentation and Visual Grouping-Histogram Based Segmentation Using Wasserstein Distances
T Chan, S Esedoglu, K Ni - Lecture Notes in …, 2007 - Berlin: Springer-Verlag, 1973
2008 without Math. Reviews 12 items
Title: Dynamic clustering of interval data using a Wasserstein-based distance
Author(s): Irpino, A; Verde, R
Source: PATTERN RECOGNITION LETTERS Volume: 29 Issue: 11 Pages: 1648-1658 Published: 2008
Cone structure of $ L^ 2$-Wasserstein spaces
[PDF] from arxiv.orgA Takatsu… - Arxiv preprint arXiv:0812.2752, 2008 - arxiv.org
Abstract: The purpose of this paper is to understand the geometric structure of the $ L^ 2$-
Wasserstein space $\ pp $ over the Euclidean space. For this sake, we focus on its cone
structure. One of our main results is that the $ L^ 2$-Wasserstein space over a Polish ...
publ. 1912
On Wasserstein geometry of the space of Gaussian measures
[PDF] from arxiv.orgA Takatsu - Arxiv preprint arXiv:0801.2250, 2008 - arxiv.org
Abstract: The space of Gaussian measures on a Euclidean space is geodesically convex in
the $ L^ 2$-Wasserstein space. This space is a finite dimensional manifold since Gaussian
measures are parameterized by means and covariance matrices. By restricting to the ...
Eulerian calculus for the displacement convexity in the Wasserstein distance
[PDF] from arxiv.orgS Daneri… - Arxiv preprint arXiv:0801.2455, 2008 - arxiv.org
Abstract: In this paper we give a new proof of the (strong) displacement convexity of a class
of integral functionals defined on a compact Riemannian manifold satisfying a lower Ricci
curvature bound. Our approach does not rely on existence and regularity results for ...
Model reduction of stochastic processes using Wasserstein pseudometrics
[PDF] from ntnu.noD Thorsley… - American Control Conference, 2008, 2008 - ieeexplore.ieee.org
Abstract We consider the problem of finding reduced models of stochastic processes. We
use Wasserstein pseudometrics to quantify the difference between processes. The method
proposed in this paper is applicable to any continuous-time stochastic process with output, ...
A geometric study of Wasserstein spaces: Euclidean spaces
[PDF] from arxiv.orgB Kloeckner - Arxiv preprint arXiv:0804.3505, 2008 - arxiv.org
Abstract: We study the Wasserstein space (with quadratic cost) of Euclidean spaces as an
intrinsic metric space. In particular we compute their isometry groups. Surprisingly, in the
case of the line, there exists a (unique)" exotic" isometric flow. This contrasts with the case ...
Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows
[PDF] from arxiv.orgJW Portegies… - Arxiv preprint arXiv:0812.1269, 2008 - arxiv.org
Abstract: We develop a gradient-flow framework based on the Wasserstein metric for a
parabolic moving-boundary problem that models crystal dissolution and precipitation. In
doing so we derive a new weak formulation for this moving-boundary problem and we ...
A New Interval Data Distance Based on the Wasserstein Metric
R Verde… - Data Analysis, Machine Learning and Applications, 2008 - Springer
Interval data allow statistical units to be described by means of interval values, whereas their
representation by single values appears to be too reductive or inconsistent, that is, unable to
keep the uncertainty usually inherent to the observed data. In the present paper, we ...
[PDF] A geometric study of the Wasserstein space of the line
[PDF] from inria.frB Kloeckner - Preprint, 2008 - hal.inria.fr
The concept of optimal transportation raised recently a growing interest in link with the
geometry of metric spaces. In particular the L2 Wasserstein space W2 (X) have been used in
[6] and [8, 9] to define certain curvature conditions on a metric space X. Many useful ...
Kantorovich‐Wasserstein Distance for Identifying the Dynamic of Some Compartmental Models in Biology
J Pousin - AIP Conference Proceedings, 2008 - link.aip.org
Determining the influence of a biological species to the evolution of an other one strongly
depends on the choice of mathematical models in biology. In this work we consider the case
of distribution of lipids (docosahexaenoic acid (DHA)) in two compartments of the plasma, ...
[PDF] Introduction to Wasserstein Spaces
[PDF] from bnu.edu.cnS Fang - 2008 - math.bnu.edu.cn
Page 1. Introduction to Wasserstein Spaces Shizan Fang Stochastic research Center, Beijing
Normal University Beijing, 100875, China ... The purpose of this lecture is to understand the
geometric structure of P2(Rd). 1 Wasserstein Space (P2(Rd), W2) 1.1 Wasserstein distance ...
Ordinary Least Squares for Histogram Data Based on Wasserstein Distance
R Verde… - COMPSTAT'2010 Book of Abstracts, 2008 - www-roc.inria.fr
Abstract. Histogram data is a kind of symbolic representation which allows to describe an
individual by an empirical frequency distribution. In this paper we introduce a linear
regression model for histogram variables. We present a new Ordinary Least Squares ...
2009 without Math. Reviews 19 items
Title: Non-monotone Convergence in the Quadratic Wasserstein Distance
Author(s): Schachermayer, W; Schmock, U; Teichmann, J
Source: SEMINAIRE DE PROBABILITES XLII Volume: 1979 Pages: 131-136 Published: 2009
Title: Local Histogram Based Segmentation Using the Wasserstein Distance
Author(s): Ni, K; Bresson, X; Chan, T, et al.
Source: INTERNATIONAL JOURNAL OF COMPUTER VISION Volume: 84 Issue: 1 Pages: 97-111 Published: 2009
A Wasserstein approach to the one-dimensional sticky particle system
[PDF] from arxiv.orgL Natile… - Arxiv preprint arxiv:0902.4373, 2009 - arxiv.org
Abstract. We present a simple approach to study the one–dimensional pressureless Euler system
via adhesion dynamics in the Wasserstein space P2(R) of probability measures with finite quadratic
moments. Starting from a discrete system of a finite number of “sticky” particles, we obtain ...
[PDF] Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
[PDF] from sns.itS Lisini - ESAIM Control Optim. Calc. Var, 2009 - cvgmt.sns.it
Abstract We study existence and approximation of non-negative solutions of partial
differential equations of the type∂ tu− div (A (∇(f (u))+ u∇ V))= 0 in (0,+∞)× Rn,(0.1) where
A is a symmetric matrix-valued function of the spatial variable satisfying a uniform ellipticity ...
Cited by 2 - Related articles - View as HTML - All 15 versions
Estimates on path functionals over Wasserstein spaces
[PDF] from sissa.itS Bianchini… - 2009 - digitallibrary.sissa.it
In this paper we consider the class a functionals (introduced in [Brancolini, Buttazzo, and
Santambrogio, J. Eur. Math. Soc.(JEMS), 8 (2006), pp. 415-434] $\ mathcal {G} _ {r, p} $
defined on Lipschitz curves $\ gamma $ valued in the $ p $-Wasserstein space. The ...
Non-monotone convergence in the quadratic Wasserstein distance
[PDF] from arxiv.orgW Schachermayer, U Schmock… - Séminaire de Probabilités …, 2009 - Springer
Summary. We give an easy counterexample to Problem 7.20 from C. Villani's book on mass
transport: in general, the quadratic Wasserstein distance between n-fold normalized
convolutions of two given measures fails to decrease monotonically.
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 ...
[PDF] Wasserstein geometry of non-linear Fokker-Planck type equations
[PDF] from kyoto-u.ac.jp東北大学大学院理学研究科高津飛鳥 - 数理解析研究所講究録, 2009 - kurims.kyoto-u.ac.jp
This note is a survey of the author's preprint [17], which concerns the geometric structure of
the $(l $-Gaussian measures in terms of $ L^{2}-$ Wasserstein geometry and solutions to
porous medium equations. We give an explicit expression of the solution to the porous ...
Cited by 1 - Related articles - View as HTML - All 3 versions
Wasserstein metric convergence method for Fokker-Planck equations with point controls
L Petrelli… - Applied Mathematics Letters, 2009 - Elsevier
Monge–Kantorovich mass transfer theory is employed to obtain an existence and
uniqueness result for solutions to Fokker–Planck Equations with time dependent point
control. Existence for an approximate problem is established together with a convergence ...
Hamiltonian systems and the calculus of differential forms on the Wasserstein space
[PDF] from gatech.eduHK Kim - 2009 - smartech.gatech.edu
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
the work of Ambrosio and Gangbo. We regularize H via Moreau-Yosida approximation to ...
[PDF] Gromov-Wasserstein stable signatures for object matching and the role of persistence
[PDF] from stanford.eduF Mémoli - math.stanford.edu
Page 1. 1 Gromov-Wasserstein stable signatures for object matching and the role of persistence
Facundo Mémoli memoli@math.stanford.edu Page 2. 2 ... tiants. Page 28. 19 Construction of the
Gromov-Wasserstein distance(s) mm-spaces and their invariants Page 29. 3/4 1/4 1 1/2 ...
Spectral gaps in Wasserstein distances and the 2D stochastic Navier&# 45; &# 45; Stokes equations
M Hairer… - 2009 - citeulike.org
Abstract We develop a general method to prove the existence of spectral gaps for Markov
semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for
this analysis is neither a weighted supremum norm nor an $\ L^ p $-type norm, but ...
[PDF] from tue.nlS Srivastava, MA Peletier - 2009 - alexandria.tue.nl
Polynomial Birth–Death Distribution Approximation in the Wasserstein Distance
[PDF] from arxiv.orgA Xia… - Journal of Theoretical Probability, 2009 - Springer
Abstract The polynomial birth–death distribution (abbreviated, PBD) on ℐ={0, 1, 2,…} or
ℐ={0, 1, 2,…, m} for some finite m introduced in Brown and Xia (Ann. Probab. 29: 1373–
1403, 2001) is the equilibrium distribution of the birth–death process with birth rates {α i} ...
高津飛鳥 - 数理解析研究所講究録, 2009 - ci.nii.ac.jp
... 論文名, 著者名, 著者所属, 刊行物名, ISSN, 巻, 号, ページ, 出版者, 参考文献, 出版年, 年から 年まで.
すべて CiNiiに本文あり CiNiiに本文あり、または連携サービスへのリンクあり.
Mathematical Institute, Tohoku University RIMS Kokyuroku 1671, 20-36, 2009-12
entropic measure and Wasserstein diffusion.
dialnet.unirioja.es
... Ayuda; Cambiar idioma Idioma Català. Cambiar. entropic measure and Wasserstein diffusion. ...
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
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 ...
12th International Conference on Information Fusion Seattle, WA, USA, July 6-9, 2009
Local histogram based segmentation using the Wasserstein distance
[PDF] from escholarship.orgK Ni, X Bresson, T Chan… - International journal of computer …, 2009 - Springer
Abstract We propose and analyze a nonparametric region-based active contour model for
segmenting cluttered scenes. The proposed model is unsupervised and assumes pixel
intensity is independently identically distributed. Our proposed energy functional consists ...
Spectral Gromov-Wasserstein distances for shape matching
[PDF] from stanford.eduF Mémoli - … Vision Workshops (ICCV Workshops), 2009 IEEE …, 2009 - ieeexplore.ieee.org
Abstract We introduce a spectral notion of distance between shapes and study its theoretical
properties. We show that our distance satisfies the properties of a metric on the class of
isometric shapes, which means, in particular, that two shapes are at 0 distance if and only ...
2010 not in Math. Reviews 21 items
L Granieri - REND. SEM. MAT. UNIV. PADOVA, 2010 - archive.numdam.org
ABSTRACT-We investigate some geometric aspects of Wasserstein spaces through the
continuity equation as worked out in mass transportation theory. By defining a suitable
homology on the flat torus Tn, we prove that the space p (Tn) has nontrivial homology in a ...
Irpino A., Verde R. (2010). Ordinary Least Squares for histogram data based on Wasserstein distance. In: LECHEVALLIER YVES, SAPORTA GILBERT. Proceedings of COMPSTAT'2010. (pp. 581-589). ISBN: 978-3-7908-2603-6. HEIDELBERG: Physica Verlag (GERMANY).
IRPINO A., VERDE R. (2010). Clustering Linear Models Using Wasserstein Distance, In: Data Analysis and Classification,Proceedings of the 6th Conference of the Classification and Data Analysis Group of the Società Italiana di Statistica,Series: Studies in Classification, Data Analysis, and Knowledge Organization , Palumbo, Francesco; Lauro, Carlo Natale; Greenacre, Michael J. (Eds.), 2010, ISBN: 978-3-642-03738-2, pages 41-48.
Title: Approximating stochastic biochemical processes with Wasserstein pseudometrics
Author(s): Thorsley, D; Klavins, E
Source: IET SYSTEMS BIOLOGY Volume: 4 Issue: 3 Pages: 193-211 Published: 2010
Abstract: Modelling stochastic processes inside the cell is difficult due to the size and complexity
of the processes being investigated. As a result, new approaches are needed to address the
problems of model reduction, parameter estimation, model comparison and model ...
Texture segmentation based on the use of the structure tensor and the wasserstein distance
X XIE… - Journal of Image and Graphics, 2010 - en.cnki.com.cn
Nonparametric region-based active contour models have been widely used in the field of image
segmentation.The proposed new model which is based on the use of the structure tensor and
the Wasserstein distance belongs to this category.First,the classical tensor structure ...
Wasserstein Barycenter and its Application to Texture Mixing
J Delon, G Peyré, J Rabin… - 2010 - basepub.dauphine.fr
This paper proposes a new definition of the averaging of discrete probability distributions as
a barycenter over the Wasserstein space. Replacing the Wasserstein original metric by a sliced
approximation over 1D distributions allows us to use a fast stochastic gradient descent ...
Wasserstein distance based local energy model of segmentation
XH Qian, SX Guo… - Dianzi Xuebao(Acta Electronica Sinica), 2010 - ejournal.org.cn
Abstract A nonparametric Wasserstein distance-based active contour model that is able to utilize
image histogram information in local region is presented. To quantify the similarity between two
regions, we proposed to compare their respective histograms using the Wasserstein ...
[PDF] A maximum principle for pointwise energies of quadratic Wasserstein minimal networks
[PDF] from arxiv.orgJ Dahl - Arxiv preprint arXiv:1011.0236, 2010 - arxiv.org
Given k points p1,...,pk in a geodesic space1 Y , one can ask for a minimal net- work spanning
p1,...,pk. For a complete, connected Riemannian manifold M, the space of Borel probability measure
P(M) may be metrized, allowing infinite dis- tances, by the Wasserstein distance W2 ...
[PDF] Gradient flows in Wasserstein spaces and applications to crowd movement
[PDF] from sns.itF Santambrogio - 2010 - cvgmt.sns.it
Abstract Starting from a motivation in the modeling of crowd movement, the paper presents the
topics of gradient flows, first in Rn, then in metric spaces, and finally in the space of prob- ability
measures endowed with the Wasserstein distance (induced by the quadratic trans- port ...
From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage
H Schwetlick, J Zimmer, J Zimmer
[PDF] Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
[PDF] from psu.eduN Gigli… - 2010 - Citeseer
The aim of this paper is twofold. On one side we give a simpler proof of a result found by the
second author ([4]). This amounts in proving that the minimizing movements scheme for the Energy
E(θ) = −∫ xθdx on a two-phase Wasserstein space produces the entropy solution of the ...
Wasserstein space over Hadamard space
J Bertrand - Workshop on Geometric Probability and …, 2010 - atlas-conferences.com
In the talk, I will consider the quadratic Wasserstein space over a metric space of non-positive
curvature (globally). Despite the fact that the Wasserstein space does not inherit the curvature
property, I will show that some asymptotical properties extend to the Wasserstein space.
[PDF] A geometric study of wasserstein spaces: Hadamard spaces
[PDF] from arxiv.orgJ Bertrand… - Arxiv preprint arXiv:1010.0590, 2010 - arxiv.org
[PDF] Zeta function regularized Laplacian on the smooth Wasserstein space above the unit circle
[PDF] from casac-art.netC Selinger - casac-art.net
Definition 1.1. Let (M, 〈., .〉x) denote a complete simply connected Riemannian mani- fold without
boundary and T1 denote R mod Z equipped with the flat metric. • P(M) := P = {µ Borel probability
measure on M and ∫ dM (x, y)2µ(dx) < ∞} • Pac(M) := Pac = {µ ∈ P : µ ≪ volM } • P∞(M) ...
Duality on gradient estimates and Wasserstein controls
K Kuwada - 2009 - adsabs.harvard.edu
[PDF] from arxiv.orgK Kuwada - Journal of Functional Analysis, 2010 - Elsevier
We establish a duality between Lp-Wasserstein control and Lq-gradient estimate in a
general framework. Our result extends a known result for a heat flow on a Riemannian
manifold. Especially, we can derive a Wasserstein control of a heat flow directly from the ...
[PDF] First variation formula in Wasserstein spaces over compact Alexandrov spaces
[PDF] from psu.eduN Gigli… - Preprint, 2010 - Citeseer
This paper should be considered as an addendum to [Oh] of the second author. In [Oh], it is studied
the quadratic Wasserstein space (P(X),W2) built over a compact Alexandrov space X with curvature
bounded below, and proven the existence of Euclidean tangent cones (see also [Gi]). ...
publ. 2012
[PDF] From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage
[PDF] from arxiv.orgS Adams, N Dirr, M Peletier… - … online from http://arxiv. org/abs/ …, 2010 - arxiv.org
Abstract. We study the connection between a system of many independent Brownian particles
on one hand and the deterministic diffusion equation on the other. For a fixed time step h >
0, a large-deviations rate functional Jh characterizes the behaviour of the particle system ...
Wasserstein Barycenter and its Application to Texture Mixing
R Julien, G Peyré, J Delon… - 2010 - hal.archives-ouvertes.fr
This paper proposes a new definition of the averaging of discrete probability distributions as
a barycenter over the Wasserstein space. Replacing the Wasserstein original metric by a sliced
approximation over 1D distributions allows us to use a fast stochastic gradient descent ...
Book Editor(s): Bruckstein, AM; Romeny, BMT; Bronstein, AM; et al.
Conference: 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
谢晓振… - 中国图象图形学报 A, 2010 - 万方数据资源系统
Yezzi Jr,Tsai A,Willsky AA statistical approach to snakes for bimodal and trimodal
imagery[C]//Proceedings of International Conference on Computer Vision.Washington,DC,USA
:IEEE,1999:898-903. ... Rousson M,Brox T,Deriche R.Active unsupervised texture ...
[PDF] 基于 Wasserstein 距离的局部能量分割模型
[PDF] from 210.29.99.10钱晓华， 郭树旭… - 电子学报, 2010 - 210.29.99.10
2011 not in Math. Reviews 42 items
E Boissard - 2011 - thesesups.ups-tlse.fr
On étudie dans ce manuscrit plusieurs problèmes d'approximation à l'aide des outils de la
théorie du transport optimal. Les distances de Wasserstein fournissent des bornes d'erreur
pour l'approximation particulaire des solutions de certaines équations aux dérivées ...
G Peyré, R Julien - 2011 - basepub.dauphine.fr
Résumé en français: Ce papier introduit une nouvelle approche méthodologique pour la
résolution de problèmes variationnels sous contraintes statistiques en grande dimension.
Nous nous plaçons dans le cadre de la théorie du transport optimal de Monge- ...
J Trashorras - 2011 - hal.archives-ouvertes.fr
Abstract: Let (E, d) be a compact metric space, X=(X1,..., Xn,...) and Y=(Y1,..., Yn,...) two
independent sequences of independent E-valued random variables and (LX n) n≥ 1 and
(LY n) n≥ 1 the associated sequences of empirical measures. We establish a Large ...
O Chodosh - arXiv preprint arXiv:1111.0058, 2011 - arxiv.org
Abstract: This is a condensed form of the author's essay, which can be found at [arXiv:
1105.2883]. We prove that the entropic measure constructed by von Renesse-Sturm over
Wasserstein space on the unit interval (probability measures on the unit interval equipped ...
E Kamalinejad - arXiv preprint arXiv:1112.4407, 2011 - arxiv.org
Abstract: A relaxed notion of displacement convexity is defined and used to establish short
time existence and uniqueness of Wasserstein gradient flows for higher order energy
functionals. As an application, local and global well-posedness of different higher order ...
S Kudekar, T Richardson… - … Theory Workshop (ITW), …, 2011 - ieeexplore.ieee.org
Abstract In the analysis of iterative coding systems it is often necessary to compare two
densities and to measure how close they are. Sometimes it is convenient to compare their
entropy or their Battacharyya parameter. But sometimes a more powerful measure is ...
Simple bounds for the convergence of empirical and occupation measures in 1-Wasserstein distance
E Boissard - Electronic Journal of Probability}, 2011 - emis.ams.org
Abstract We study the problem of non-asymptotic deviations between a reference measure µ
and its empirical version Ln, in the 1-Wasserstein metric, under the standing assumption that
µ satisfies a transport-entropy inequality. We extend some results of F. Bolley, A. Guillin ...
B Kloeckner - arXiv preprint arXiv:1105.0360, 2011 - arxiv.org
Abstract: A Wasserstein spaces is a metric space of sufficiently concentrated probability
measures over a general metric space. The main goal of this paper is to estimate the
largeness of Wasserstein spaces, in a sense to be precised. In a first part, we generalize ...
published
F Mémoli - Foundations of Computational Mathematics, 2011 - Springer
Abstract This paper discusses certain modifications of the ideas concerning the Gromov–
Hausdorff distance which have the goal of modeling and tackling the practical problems of
object matching and comparison. Objects are viewed as metric measure spaces, and ...
F Mémoli - Applied and Computational Harmonic Analysis, 2011 - Elsevier
We introduce a spectral notion of distance between objects and study its theoretical
properties. Our distance satisfies the properties of a metric on the class of isometric shapes,
which means, in particular, that two shapes are at 0 distance if and only if they are ...
Regularisation de Wasserstein et Application au Transfert de Couleur (J. Rabin, G. Peyré), Gretsi'11, 2011. [bib] [pdf]
E. Boissard, and T. le Gouic, ““Exact” Deviations in Wasserstein Distance for Empirical and Occupation Measures”, Preprint, arXiv:1103.3188v1, 2011.
Veretennikov A. (With O.A.Butkovsky) On asymptotics of Vaserstein"s coupling for a Markov chain. International Mathematical Conference "50 years of IPPI", July 25-29 2011 Moscow, Russia, Proceedings, ISBN 978-5-901158-15-9
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Wasserstein distances for discrete measures and convergence in nonparametric mixture models
[PDF] from arxiv.orgXL Nguyen - Arxiv preprint arXiv:1109.3250, 2011 - arxiv.org
Abstract: We consider Wasserstein distance functionals for comparing between and
assessing the convergence of latent discrete measures, which serve as mixing distributions
in hierarchical and nonparametric mixture models. We explore the space of discrete ...
A Monotone Approximation to the Wasserstein Diffusion
[PDF] from arxiv.orgKT Sturm - Arxiv preprint arXiv:1105.3963, 2011 - arxiv.org
Abstract: Von Renesse and the author (Ann. Prob.'09) developed a second order calculus
on the Wasserstein space P ([0, 1]) of probability measures on the unit interval. The basic
objects of interest had been Dirichlet form, semigroup and continuous Markov process, ...
Transport equation with nonlocal velocity in Wasserstein spaces: existence, uniqueness and numerical schemes [
PDF] from arxiv.orgB Piccoli… - Arxiv preprint arXiv:1106.2555, 2011 - arxiv.org
Abstract: Motivated by pedestrian modelling, we study evolution of measures in the
Wasserstein space. In particular, we consider the Cauchy problem for a transport equation,
where the velocity field depends on the measure itself. We prove existence and ...
MR 2013
Functional inequalities for the Wasserstein Dirichlet Form
[PDF] from tu-darmstadt.deW Stannat - Seminar on Stochastic Analysis, Random Fields and …, Progress in Probability, 2011,
Volume 63, Part 1, 245-260, Springer
Abstract. We give an alternative representation of the Wasserstein Dirichlet form that was introduced
by von Renesse and Sturm in [7]. Based on this alternative representation we improve and generalize
the Poincaré and loga- rithmic Sobolev inequality obtained for the Wasserstein Dirichlet ...
Quantitative bounds for Markov chain convergence: Wasserstein and total variation distances
R Grübel - 2011 - citeulike.org
... wasserstein statistics pearson mcmc coupling. Search all the public and authenticated
articles in CiteULike. ... Tags. Quantitative bounds for Markov chain convergence:
Wasserstein and total variation distances. by: Rudolf Grübel. ...
Wasserstein Regularization of Imaging Problems
[PDF] from archives-ouvertes.frJ Rabin…G Peyré - 2011 - hal.archives-ouvertes.fr Proc. ICIP'11, pp. 1541-1544, 2011. [bib] [pdf]
ABSTRACT This paper introduces a novel and generic framework embedding statistical constraints
for variational problems. We resort to the the- ory of Monge-Kantorovich optimal mass transport
to define penalty terms depending on statistics from images. To cope with the com- ...
J Rabin, J Fadili… - 2011 - basepub.dauphine.fr
[PDF] from archives-ouvertes.frG Peyré, J Fadili, J Rabin - 2011 - hal.archives-ouvertes.fr
In this paper, we propose a novel and rigorous framework for region-based active contours that
combines the Wasserstein distance between statistical distributions in arbitrary dimension and
shape derivative tools. To the best of our knowledge, this is the first variational image ...
Behaviors of $\ phi $-exponential distributions in Wasserstein geometry and an evolution equation
[PDF] from arxiv.orgA Takatsu - Arxiv preprint arXiv:1109.6776, 2011 - arxiv.org
Abstract: A $\ phi $-exponential distribution is a generalization of an exponential distribution
associated to functions $\ phi $ in an appropriate class, and the space of $\ phi $-
exponential distributions has a dually flat structure. We study features of the space of $\ ...
Stability of the global attractor under Markov-Wasserstein noise
[PDF] from arxiv.orgM Kell - Arxiv preprint arXiv:1103.3401, 2011 - arxiv.org
Abstract. We develop a “weak Ważewski principle” for discrete and contin- uous time dynamical
systems on metric spaces having a weaker topology to show that attractors can be continued
in a weak sense. After showing that the Wasserstein space of a proper metric space is ...
Optimal Transport and Ricci Curvature: Wasserstein Space Over the Interval
[PDF] from arxiv.orgO Chodosh - Arxiv preprint arXiv:1105.2883, 2011 - arxiv.org
Abstract. In this essay, we discuss the notion of optimal transport on (geodesic) metric
spaces, and the associated (2-)Wasserstein distance. We then examine displacement convexity
of the en- tropy functional on P(X) and associated synthetic Ricci lower bounds. In ...
On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
[PDF] from arxiv.orgE Boissard… - Arxiv preprint arXiv:1105.5263, 2011 - arxiv.org
Abstract. In this work, we provide non-asymptotic bounds for the average speed of convergence
of the empirical measure in the law of large numbers, in Wasserstein distance. We also consider
occupation measures of ergodic Markov chains. One motivation is the approximation of a ...
Existence and Uniqueness of GEXIT Curves via the Wasserstein ...
2011 Shrinivas Kudekar∗, Tom Richardson† and Rüdiger Urbanke‡. ∗. Center for Nonlinear ...
" Exact" deviations in Wasserstein distance for empirical and occupation measures
[PDF] from arxiv.orgE Boissard… - Arxiv preprint arXiv:1103.3188, 2011 - arxiv.org
Abstract. We study the problem of so-called “exact” or non-asymptotic de- viations between a
reference measure µ and its empirical version Ln, in the p-Wasserstein metric, 1 ≤ p ≤ 2, under
the standing assumption that µ satis- fies a transport-entropy inequality. This work is a ...
Dynamic Clustering of Histogram Data Based on Adaptive Squared Wasserstein Distances
[PDF] from arxiv.orgA Irpino, R Verde… - Arxiv preprint arXiv:1110.1462, 2011 - arxiv.org
Abstract: This paper deals with clustering methods based on adaptive distances for
histogram data using a dynamic clustering algorithm. Histogram data describes individuals
in terms of empirical distributions. These kind of data can be considered as complex ...
Deconvolution for the Wasserstein Metric and Geometric Inference
[PDF] from archives-ouvertes.frC Caillerie, F Chazal, J Dedecker… - 2011 - hal.archives-ouvertes.fr
Claire Caillerie — Frédéric Chazal — Jérôme Dedecker — Bertrand Michel
- Electronic Journal of …, 2011
Abstract: Recently,[4] have defined a distance function to measures to answer geometric
inference problems in a probabilistic setting. According to their result, the topological
properties of a shape can be recovered by using the distance to a known measure ν, if ν is ...
Kantorovich-Rubinstein-Wasserstein Lp-距离 (p> 2) 沈银芳 - 科技信息, 2011 - cqvip.com
SHEN Yin Fong
Kantorovich-Rubinstein-Wasserstein Lp-distance (p> 2)
Zhejiang Finance and Economics College of Mathematics and Statistics , Zhejiang Hangzhou 310018,
Abstract: This article get Euclidean plane bounded region's diverse Kantorovich-Rubinstein-Wasserstein Lp-distance (abbreviated as an accurate representation of: KRW-Lp distance),
a given from the point of view of the theory of probability prove
[PDF] Cahn-hilliard and thin film equations as gradient flow in wasserstein-like metrics
[PDF] from tum.deS Lisini, D Matthes… - Preprint, 2011 - www-m8.ma.tum.de
Abstract. In this paper, we establish an approach to the existence theory of certain
degenerate fourth-order evolution equations which arise in applications in mathematical
physics; particular examples are the Cahn-Hilliard and the (destabilized) thin film equation ...
[PDF] Optimal Couplings of Kantorovich-Rubinstein-Wasserstein Lp-distance
[PDF] from ccsenet.orgY Shen - Journal of Mathematics Research, Vol. 3, No. 4; November 2011 - journal.ccsenet.org
Yinfang Shen (Corresponding author) Institute of Mathematics and
Statistics, Zhejiang University of Finance and Economics PO ...
Y Lipman, J Puente… - Arxiv preprint arXiv:1103.4681, 2011.published in 2013
Conformal Wasserstein distances: comparing surfaces in polynomial time
by Y Lipman - 2011 - Cited by 5 - Related articles arXiv Yaron Lipman, Ingrid Daubechies
Mar 22, 2011 – We determine the "similarity" of two given surfaces by solving a mass-transportation problem between their conformal densities. This mass ...
published 2011
Y Lipman, J Puente, I Daubechies - arXiv preprint arXiv:1103.4681, 2011 - arxiv.org
Abstract: This paper is a companion paper to [Lipman and Daubechies 2011]. We provide
numerical procedures and algorithms for computing the alignment of and distance between
two disk type surfaces. We provide a convergence analysis of the discrete approximation ...
Large Deviations for a matching problem related to the∞-Wasserstein distance
[PDF] from archives-ouvertes.frJ Trashorras - Arxiv preprint math.PR/0000000 - hal.archives-ouvertes.fr
Résumé en anglais: Let $(E, d) $ be a compact metric space, $ X=(X_1,\ dots, X_n,\ dots) $
and $ Y=(Y_1,\ dots, Y_n,\ dots) $ two independent sequences of independent $ E $-valued
random variables and $(L^ X_n) _ {n\ geq 1} $ and $(L^ Y_n) _ {n\ geq 1} $ the associated ...
Distribution's template estimate with Wasserstein metrics
[PDF] from arxiv.orgE Boissard, TL Gouic… - Arxiv preprint arXiv:1111.5927, 2011 - arxiv.org
Abstract: In this paper we tackle the problem of comparing distributions of random variables
and defining a mean pattern between a sample of random events. Using barycenters of
measures in the Wasserstein space, we propose an iterative version as an estimation of ...
Barycentre de Wasserstein J RABIN, G PEYRÉ… - smai.emath.fr
Contexte De nombreuses applications en vision par ordinateur ou en traitement d'images
requierent une étape préliminaire d'apprentissage des statistiques “moyennes” des
caractéristiques d'une classe d'objets. Cette problématique a été principalement étudié ...
[PDF] Wasserstein barycenter and its application to texture mixing
[PDF] from google.comJ Rabin, G Peyré, J Delon… - Proc. of SSVM, 2011 - sites.google.com
Abstract. This paper proposes a new definition of the averaging of discrete probability
distributions as a barycenter over the Monge-Kantorovich optimal transport space. To
overcome the time complexity involved by the numerical solving of such problem, the ...
Deconvolution for the Wasserstein metric and geometric inference
[PDF] from archives-ouvertes.frC Caillerie, F Chazal, J Dedecker… -Electron. J. Statist. Volume 5 (2011), 1394-1423. - projecteuclid.org
Abstract Recently, Chazal, Cohen-Steiner and Mérigot have defined a distance function to
measures to answer geometric inference problems in a probabilistic setting. According to
their result, the topological properties of a shape can be recovered by using the distance ...
Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations
[PDF] from arxiv.orgF Bolley, I Gentil… - Arxiv preprint arXiv:1110.3606, 2011 - arxiv.org
Abstract: We describe conditions on non-gradient drift diffusion Fokker-Planck equations for
its solutions to converge to equilibrium with a uniform exponential rate in Wasserstein
distance. This asymptotic behaviour is related to a functional inequality, which links the ...
Related articles - All 6 versions
2012 not in Math. Reviews 41 items
File Format: Adobe PostScript - View as HTML
by B Kloeckner - 2012
A GEOMETRIC STUDY OF WASSERSTEIN. SPACES: EMBEDDING POWERS. by. Benoˆıt Kloeckner. Abstract. — The Wasserstein spaces #p(X) of a metric ...
DP Bourne, MA Peletier, F Theil - arXiv preprint arXiv:1212.6973, 2012 - arxiv.org
Abstract: We prove strong crystallization results in two dimensions for an energy that arises
in the theory of block copolymers. The energy is defined on sets of points and their weights,
or equivalently on the set of atomic measures. It consists of two terms; the first term is the ...
[PDF] An extension of the Weak KAM theory to the Wasserstein torus
W Gangbo… - math.wvu.edu
Abstract The study of asymptotic behavior of minimizing trajectories on the Wasserstein
space P (Td) has so far been limited to the case d= 1 as all prior studies heavily relied on the
isometric identification of P (T) with a subset of the Hilbert space L2 (0, 1). There is no ...
Wasserstein barycenter and its application to texture mixing
J Rabin, G Peyré, J Delon… - Scale Space and Variational …, 2012 - Springer
This paper proposes a new definition of the averaging of discrete probability distributions as
a barycenter over the Monge-Kantorovich optimal transport space. To overcome the time
complexity involved by the numerical solving of such problem, the original Wasserstein ...
Cited by 18 - Related articles - All 3 versions [PDF] from arxiv.org [bib] [pdf] [doi]
Moreau-Yosida approximation and convergence of Hamiltonian systems on Wasserstein space
HK Kim - Arxiv preprint arXiv:1206.2673, 2012 - arxiv.org
Abstract: In this paper, we study the stability property of Hamiltonian systems on the
Wasserstein space. Let $ H $ be a given Hamiltonian satisfying certain properties. We
regularize $ H $ using the Moreau-Yosida approximation and denote it by $ H_\ tau. $ We ...
[PDF] Further Results on Probabilistic Model Validation in Wasserstein Metric
A Halder, R Bhattacharya - 51st IEEE Conference on Decision …, 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, ...
View as HTML [PDF] from arxiv.org
Wasserstein decay of one dimensional jump-diffusions
B Cloez - Arxiv preprint arXiv:1202.1259, 2012 - arxiv.org
Abstract: We are interested by a one dimensional Markov process which moves following a
diffusion for some random time and then jumps. It can represent some natural phenomena
like size of cell or data transmission over the Internet. The paper begin with some results ...
Related articles - All 6 versions [PDF] from harvard.edu
[PDF] Frequency Domain Model Validation in Wasserstein Metric
File Format: PDF/Adobe Acrobat - Quick View
by A Halder - Related articles [PDF] from arxiv.org - Tamu.edu A. Halder and R. Bhattacharya submitted 2013
Abstract:This paper connects the time-domain uncertainty propagation approach for model validation in Wasserstein distance 2W2, introduced by the authors in ...
Wasserstein gradient flows from large deviations of thermodynamic limits
MH Duong, V Laschos… - Arxiv preprint arXiv:1203.0676, 2012 - arxiv.org
Abstract: We study the Fokker-Planck equation as the hydrodynamic limit of a stochastic
particle system on one hand and as a Wasserstein gradient flow on the other. We write the
rate functional, that characterizes the large deviations from the hydrodynamic limit, in a ...
Cited by 1 - Related articles [PDF] from uvic.ca
[PDF] One-dimensional numerical algorithms for gradient flows in the p-Wasserstein spaces
M Agueh… - math.uvic.ca
Abstract We numerically approximate, on the real line, solutions to a large class of parabolic
partial differential equations which are “gradient flows” of some energy functionals with
respect to the Lp-Wasserstein metrics for all p> 1. Our method relies on variational ...
Related articles - View as HTML [PDF] from arxiv.org
EA Carlen… - Arxiv preprint arXiv:1205.6565, 2012 - arxiv.org
Abstract: We investigate the Moreau-Yosida regularization and the associated proximal map
in the context of discrete gradient flow for the 2-Wasserstein metric. Our main results are a
stepwise contraction property for the proximal map and a restricted convexity result for the ...
[PDF] Modelling Convex Shape Priors and Matching based on the Gromov-Wasserstein Distance
B Schmitzer, C Schnörr - Journal of Mathematical Imaging and Vision, 2012 - Springer
Abstract In this paper we present a novel convex shape prior functional with potential for
application in variational image segmentation. Starting point is the Gromov-Wasserstein
Distance which is successfully applied in shape recognition and classification tasks but ...
View as HTML [PDF] from arxiv.org
Generalized Wasserstein distance and its application to transport equations with source
B Piccoli… - Arxiv preprint arXiv:1206.3219, 2012 - arxiv.org
We use this generalized Wasserstein distance to study a transport equation with source, in which
both the vector field and the source depend on the measure itself. We prove existence and uniqueness
of the solution to the Cauchy problem when the vector field and the source are ...
S Lisini, D Matthes… - Arxiv preprint arXiv:1201.2367, 2012 - arxiv.org
Abstract: In this paper, we establish a novel approach to proving existence of non-negative
weak solutions for degenerate parabolic equations of fourth order, like the Cahn-Hilliard and
certain thin film equations. The considered evolution equations are in the form of a ...
Cited by 1 - Related articles - All 9 versions
A Irpino… - Arxiv preprint arXiv:1202.1436, 2012 - arxiv.org
Abstract: In this paper we present a linear regression model for modal symbolic data. The
observed variables are histogram variables according to the definition given in the
framework of Symbolic Data Analysis and the parameters of the model are estimated ...
Classification of periodic activities using the Wasserstein distance
L Oudre, J Jakubowicz, P Bianchi… - … , IEEE Transactions on, 2012 - ieeexplore.ieee.org
Abstract In this paper, we introduce a novel nonparametric classification technique based on
the use of the Wasserstein distance. The proposed scheme is applied in a biomedical
context for the analysis of recorded accelerometer data: the aim is to retrieve three types of ...
Volume: 59 Issue: 6 Pages: 1610-1619
[PDF] WEAK KAM ON THE WASSERSTEIN TORUS WITH MULTI-DIMENSIONAL UNDERLYING SPACE
W GANGBO… - people.math.gatech.edu
Abstract. The study of asymptotic behavior of minimizing trajectories on the Wasserstein
space P (Td) has so far been limited to the case d= 1 as all prior studies heavily relied on the
isometric identification of P (T) with a subset of the Hilbert space L2 (0, 1). There is no ...
Related articles - View as HTML
Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes
B Piccoli… - Acta Applicandae Mathematicae, 2012 - Springer
Abstract Motivated by pedestrian modelling, we study evolution of measures in the
Wasserstein space. In particular, we consider the Cauchy problem for a transport equation,
where the velocity field depends on the measure itself. We deal with numerical schemes ...
EA Carlen… - Arxiv preprint arXiv:1203.5377, 2012 - arxiv.org
Abstract: Let $\ Cl $ denote the Clifford algebra over $\ R^ n $, which is the von Neumann
algebra generated by $ n $ self-adjoint operators $ Q_j $, $ j= 1,..., n $ satisfying the
canonical anticommutation relations, $ Q_iQ_j+ Q_jQ_i= 2\ delta_ {ij} I $, and let $\ tau $ ...
数据挖掘中区间数据模糊聚类研究——基于 Wasserstein 测度
李红… - 计算机工程与应用, 2012 - cqvip.com
针对目前区间数据模糊聚类研究中区间距离定义存在的局限性, 引入能够考虑区间数值分布特征
的Wasserstein 距离测度, 提出基于Wasserstein 距离测度的单指标和双指标自适应模糊聚类
算法及迭代模型. 通过仿真实验和CR 指数, 证实了该类模型的优势. 该算法在海量, 堆积如山 ...
[Li Hong , Sun Qiu Bi Data Mining the interval fuzzy clustering - based Wasserstein measure]
[School of Management Department of Statistics, Fuzhou 350108]
Abstract:
The Wasserstein distance measure introduced to be able to consider the limitations of fuzzy clustering interval data interval distance defined interval value distribution characteristics, proposed based on the Wasserstein distance measure single indicators and indicators adaptive fuzzy clustering algorithm and iterative model. confirmed the advantages of this kind of model simulation and CR Index, the algorithm has important practical significance in the massive mountains of data mining.
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction
S Arnrich, A Mielke, MA Peletier, G Savaré… - Calculus of Variations …, 2012 - Springer
Abstract We study a singular-limit problem arising in the modelling of chemical reactions. At
finite ε\,>\, 0, the system is described by a Fokker-Planck convection-diffusion equation with
a double-well convection potential. This potential is scaled by 1/ε, and in the limit ε\ to0, ...
Cited by 12 Related articles All 18 versions Cite
Cone structure of L2-Wasserstein spaces
A TAKATSU, T YOKOTA - Journal of Topology and Analysis, 2012 - World Scientific
The aim of this paper is to obtain a better understanding of the geometric structure of
quadratic Wasserstein spaces over separable Hilbert spaces. For this sake, we focus on
their cone and product structures, and prove that the quadratic Wasserstein space over ...
Cited by 1 Related articles All 3 versions Cite
Subgeometric rates of convergence of Markov processes in the Wasserstein metric
O Butkovsky - arXiv preprint arXiv:1211.4273, 2012 - arxiv.org
Abstract: We establish subgeometric bounds on convergence rate of general Markov
processes in the Wasserstein metric. In the discrete time setting we prove that the Lyapunov
drift condition and the existence of a" good" d-small set imply subgeometric convergence ...
[PDF] WEAK KAM THEORY ON THE WASSERSTEIN TORUS WITH MULTI-DIMENSIONAL UNDERLYING SPACE
W GANGBO, A TUDORASCU - math.wvu.edu
Abstract. The study of asymptotic behavior of minimizing trajectories on the Wasserstein
space P (Td) has so far been limited to the case d= 1 as all prior studies heavily relied on the
isometric identification of P (T) with a subset of the Hilbert space L2 (0, 1). There is no ...
A Irpino, R Verde - arXiv preprint arXiv:1202.1436, 2012 - arxiv.org
Abstract: In this paper we present a linear regression model for modal symbolic data. The
observed variables are histogram variables according to the definition given in the
framework of Symbolic Data Analysis and the parameters of the model are estimated ...
Classification of periodic activities using the Wasserstein distance
L Oudre, J Jakubowicz, P Bianchi… - … , IEEE Transactions on, 2012 - ieeexplore.ieee.org
Abstract In this paper, we introduce a novel nonparametric classification technique based on
the use of the Wasserstein distance. The proposed scheme is applied in a biomedical
context for the analysis of recorded accelerometer data: the aim is to retrieve three types of ...
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING Volume: 59 Issue: 6 Pages: 1610-1619 DOI: 10.1109/TBME.2012.2190930 Published: JUN 2012
Speed of convergence to equilibrium in Wasserstein metrics for Kac's like kinetic equations
F Bassetti, E Perversi - arXiv preprint arXiv:1205.3690, 2012 - arxiv.org
Abstract: This work deals with a class of one-dimensional measure-valued kinetic equations,
which constitute extensions of the Kac caricature. It is known that if the initial datum belongs
to the domain of normal attraction of an\ alpha-stable law, the solution of the equation ...
[PDF] An extension of the Weak KAM theory to the Wasserstein torus
W Gangbo, A Tudorascu - math.wvu.edu
Abstract The study of asymptotic behavior of minimizing trajectories on the Wasserstein
space P (Td) has so far been limited to the case d= 1 as all prior studies heavily relied on the
isometric identification of P (T) with a subset of the Hilbert space L2 (0, 1). There is no ...
Decomposition of geodesics in the Wasserstein space and the globalization property
F Cavalletti - arXiv preprint arXiv:1209.5909, 2012 - arxiv.org
Abstract: Let $(X, d, m) $ be a non-branching metric measure space verifying $\ mathsf {CD}
_ {loc}(K, N) $ or equivalently $\ mathsf {CD}^{*}(K, N) $. In this note we show that given a
geodesic $\ mu_ {t} $ in the $ L^{2} $-Wasserstein space, it is always possible to write the ...
Estimation of deformations between distributions by minimal Wasserstein distance.
H Lescornel, JM Loubes - 2012 - hal.archives-ouvertes.fr
Abstract We consider the issue of estimating a measure observed in a deformation
framework. For this we consider a parametric deformation model on an empirical sample
and provide a new matching criterion for cloud points based on a generalization of the ...
AN EXTENSION OF WASSERSTEIN CONTRACTION ASSOCIATED WITH THE CURVATURE-DIMENSION CONDITION
K KUWADA - bcc.impan.pl
We obtain a new characterization of complete Riemannian manifolds with lower Ricci
curvature bound and upper dimension bound in terms of the Wasserstein distance between
heat distributions. It is formulated as a local space-time Lipschitz estimate of the ...
二元离散antorovich-Rubinstein-Wasserstein L2-距离的精确表示在线 ...
lib.cqvip.com/read/detail.aspx?ID... - Translate this page [accurate representation of the binary the discrete Kantorovich-Rubinstein-Wasserstein L2-distance]
本文得到二元离散Kantorovich-Rubinstein-WassersteinL2-距离的一个精确表示。
SHEN Yin Fong
An accurate representation of the binary discrete antorovich-Rubinstein-Wasserstein L2-distance
Hangzhou 310018, Zhejiang Finance and Economics College of Mathematics and Statistics 2012
LP Lopes - 2012 - repositorio.bce.unb.br
Neste trabalho propomos testes não-paramétricos para classes de distribuições de cauda
pesada, que incluem as _-estáveis e as extremais de Fréchet. As estatísticas apresentadas,
funcionais do processo quantil empírico, permitem testar a pertinência da distribuição F ...
Title: Classification of Periodic Activities Using the Wasserstein Distance
Author(s): Oudre, Laurent; Jakubowicz, Jeremie; Bianchi, Pascal; et al.
Source: IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING Volume: 59 Issue: 6 Pages: 1610-1619 DOI: 10.1109/TBME.2012.2190930 Published: JUN 2012
Consistent estimation of a population barycenter in the Wasserstein space
J Bigot, T Klein - arXiv preprint arXiv:1212.2562, 2012 - arxiv.org
Abstract: We define a notion of barycenter for random probability measures in the
Wasserstein space. We give a characterization of the population barycenter in terms of
existence and uniqueness for compactly supported measures. Then, the problem of ...
Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
N Gigli, F Otto - Calculus of Variations and Partial Differential …, 2012 - Springer
Abstract As noted by the second author in the context of unstable two-phase porous medium
flow, entropy solutions of Burgers' equation can be recovered from a minimizing movement
scheme involving the Wasserstein metric in the limit of vanishing time step size (Otto, ...
G Peyré, J Fadili, J Rabin - Proc. ICIP'12, 2012 - hal.archives-ouvertes.fr [bib] [pdf]
Abstract. In this paper, we propose a novel and rigorous framework for region-based active
contours that combines the Wasserstein distance between statistical distributions in arbitrary
dimension and shape derivative tools. To the best of our knowledge, this is the first ...
N Gigli, F Otto - Calculus of Variations and Partial Differential …, 2012 - Springer
Abstract As noted by the second author in the context of unstable two-phase porous medium
flow, entropy solutions of Burgers' equation can be recovered from a minimizing movement
scheme involving the Wasserstein metric in the limit of vanishing time step size (Otto, ...
2013 not in Math Reviews 3+8
Behaviour and convergence of Wasserstein metric in the framework of stable distributions
V Omelchenko - Bulletin of the Czech Econometric Society, 2013 - ces.utia.cas.cz
Abstract In the paper, we aim to demonstrate the behaviour of approximate empirical optimal
values of stochastic problems involving stable distributions. Such empirical optimal values
under mere conditions converge to the optimal value of the initial problem. The precision ...
JA Carrillo, YP Choi, SY Ha, MJ Kang, Y Kim - arXiv preprint arXiv: …, 2013 - arxiv.org
Abstract: We present synchronization and contractivity estimates for the kinetic Kuramoto
model obtained from the Kuramoto phase model in the mean-field limit. For identical
Kuramoto oscillators, we present an admissible class of initial data leading to time- ...
Frequency Domain Model Validation in Wasserstein Metric - Tamu.edu
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.
J Bertrand, B Kloeckner - arXiv preprint arXiv:1302.1424, 2013 - arxiv.org
Let X be a Hadamard space, by which we mean that X is a complete globally CAT(0), locally
compact metric space. The set of its Borel probability measures with finite second moment can
be endowed with a natural distance defined using optimal transportation, giving birth to ...
J Dedecker, B Michel - arXiv preprint arXiv:1302.6103, 2013 - arxiv.org
Abstract: The subject of this paper is the estimation of a probability measure on ${\ mathbb
R}^ d $ from data observed with an additive noise, under the Wasserstein metric of order $ p
$(with $ p\ geq 1$). We assume that the distribution of the errors is known and belongs to ...
M Benning, L Calatroni, B Düring, CB Schönlieb - maths.cam.ac.uk
Abstract. We consider a nonlinear fourth-order diffusion equation that arises in denoising of
image densities. We propose an implicit timestepping scheme that employs a primal-dual
method for computing the subgradient of the total variation semi-norm. The constraint on ...
On asymptotics for Vaserstein coupling of Markov chains
by OA Butkovsky - 2013 - Cited by 3 - Related articles
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.
G Savaré - arXiv preprint arXiv:1304.0643, 2013 - arxiv.org
Abstract: We prove that the linear heat flow in a RCD (K,\ infty) metric measure space (X, d,
m) satisfies a contraction property with respect to every L^ p-Kantorovich-Rubinstein-
Wasserstein distance. In particular, we obtain a precise estimate for the optimal W_\ infty- ...
D He, X Xu, J Zhao - Journal of Systems Science and Complexity - Springer
Abstract This paper proposes a new goodness-of-fit test for normality based on the L 2
Wasserstein distance. The authors first construct a probability through the Bootstrap
resampling. Although the probability is not distributed uniformly on the interval (0, 1) under ...
B Kloeckner - arXiv preprint arXiv:1304.5219, 2013 - arxiv.org
Abstract: We study the geometry of the space of measures of a compact ultrametric space X,
endowed with the L^ p Wassertein distance from optimal transportation. We show that the
power p of this distance makes this Wasserstein space affinely isometric to a convex ...
JA Carrillo, YP Choi, M Hauray - arXiv preprint arXiv:1304.5776, 2013 - arxiv.org
Abstract: These notes are devoted to a summary on the mean-field limit of large ensembles
of interacting particles with applications in swarming models. We first make a summary of the
kinetic models derived as continuum versions of second order models for swarming. We ...
B Schmitzer, C Schnörr - graphmod.iwr.uni-heidelberg.de
Abstract. We gradually develop a novel functional for joint variational object segmentation
and shape matching. The formulation, based on the Wasserstein distance, allows modelling
of local object appearance, statistical shape variations and geometric invariance in a ...
SM WALCZAK - faculty.ms.u-tokyo.ac.jp
The lecture will be devoted to the Wassertein distance of Borel probability measures, which
arises from the optimal transportation theory [4][5]. A number of examples will illustrate the
nature of this metric, which is defined on the space of all Borel probability measures. Weak ...
J Agredo - Open Systems & Information Dynamics, 2013 - World Scientific
In this paper we define a distance W between states in the non-commutative von Neumann
algebra of bounded operators on a separable Hilbert space, in order to measure deviations
from equilibrium using a rate ep W (·). The restriction of W to the diagonal subalgebra of ...
F Cacciafesta, AS de Suzzoni - arXiv preprint arXiv:1304.3005, 2013 - arxiv.org
Abstract: In this paper, we prove the continuity of the flow of KdV on spaces of probability
measures with respect to a combination of Wasserstein distances on $ H^ s $, $ s> 0$ and $
L^ 2$. We are motivated by the existence of an invariant measure belonging to the spaces ...
K Kuwada - math.ocha.ac.jp
Abstract We extend the duality between gradient estimates of the Markov kernel and
Wasserstein controls of that studied by the author (2010). Especially, the gauge norm-Orlicz
norm type duality holds on Polish geodesic space without any assumption on the Markov ...
R Guan, Y Lechevallier… - … TECHNOLOGIES DE L' …, 2013 - hal.archives-ouvertes.fr
... REVUE DES NOUVELLES TECHNOLOGIES DE L'INFORMATION RNTI E.25 (2013) 15-30.
Adaptive Dynamic Clustering Algorithm for Interval-valued Data based on Squared-Wasserstein
Distance. Rong Guan 1 , Yves Lechevallier 2 , Huiwen Wang 1. (2013). ...
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100 items + 41 (2012) + 42 (2011) + 3 + 14 (2013) = 186 items + 14
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