PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Universally Typical Sets for Ergodic Sources of Multidimensional Data
Seminar:Seminar on Probability and its Application
Speaker:Guido Montufar, Penn State University
Abstract:
We lift important results of the theory of samples of discrete ergodic information sources to the multidimensional setting. We use the technique of packings and coverings with multidimensional windows in entropy estimation and universal lossless compression. In particular, we construct sequences of multidimensional array sets which, in the limit, build the generated samples of any ergodic source of entropy rate below an h0 with probability 1 and whose cardinality grows at most at exponential rate h0. Thereby we extrapolate mathematical framework relevant for universal source coding of multi-dimensionally correlated data.

Room Reservation Information

Room Number:MB106
Date:10 / 05 / 2012
Time:02:20pm - 03:20pm