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Joint Universal Lossy Coding and Identification of I.I.D. Vector Sources
| Content Provider | CiteSeerX |
|---|---|
| Author | Raginsky, Maxim |
| Abstract | Abstract — The problem of joint universal source coding and modeling, addressed by Rissanen in the context of lossless codes, is generalized to fixed-rate lossy coding of continuousalphabet memoryless sources. We show that, for bounded distortion measures, any compactly parametrized family of i.i.d. real vector sources with absolutely continuous marginals (satisfying appropriate smoothness and Vapnik–Chervonenkis learnability conditions) admits a joint scheme for universal lossy block coding and parameter estimation, and give nonasymptotic estimates of convergence rates for distortion redundancies and variational distances between the active source and the estimated source. We also present explicit examples of parametric sources admitting |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Distortion Measure Fixed-rate Lossy Coding Active Source Nonasymptotic Estimate Vapnik Chervonenkis Learnability Condition Convergence Rate Universal Lossy Block Coding Variational Distance I.i.d. Vector Source Joint Universal Lossy Coding Continuousalphabet Memoryless Source Parameter Estimation Explicit Example Appropriate Smoothness Joint Universal Source Coding Lossless Code Real Vector Source Distortion Redundancy Parametric Source Joint Scheme Continuous Marginals |
| Content Type | Text |