Joint universal lossy coding and identification of stationary mixing sources

Details Joint universal lossy coding and identification of stationary mixing sources Joint universal lossy coding and identification of stationary mixing sources

2007-04-20

arxiv.org/abs/0704.2644v1

Computer Science

Information Theory

5 pages, 1 eps figure; to appear in Proc. ISIT 2007

Scientific paper

The problem of joint universal source coding and modeling, treated in the context of lossless codes by Rissanen, was recently generalized to fixed-rate lossy coding of finitely parametrized continuous-alphabet i.i.d. sources. We extend these results to variable-rate lossy block coding of stationary ergodic sources and show that, for bounded metric distortion measures, any finitely parametrized family of stationary sources satisfying suitable mixing, smoothness and Vapnik-Chervonenkis learnability conditions admits universal schemes for joint lossy source coding and identification. We also give several explicit examples of parametric sources satisfying the regularity conditions.

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