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- W4377130586 abstract "We consider a remote source coding problem subject to a {distortion function}. Contrary to the use of the classical separable distortion criterion, herein we consider the more general, $f$-separable distortion measure and study its implications on the characterization of the minimum achievable rates (also called $f$-separable indirect rate distortion function (iRDF)) under both excess and average distortion constraints. First, we provide a single-letter characterization of the optimal rates subject to an excess distortion using properties of the $f$-separable distortion. Our main result is a single-letter characterization of the $f$-separable iRDF subject to an average distortion constraint. As a consequence of the previous results, we also show a series of equalities that hold using either indirect or classical RDF under $f$-separable excess or average distortions. We corroborate our results with two application examples in which new closed-form solutions are derived, and based on these, we also recover known special cases." @default.
- W4377130586 created "2023-05-21" @default.
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- W4377130586 date "2023-05-17" @default.
- W4377130586 modified "2023-09-29" @default.
- W4377130586 title "Indirect Rate Distortion Functions with $f$-Separable Distortion Criterion" @default.
- W4377130586 doi "https://doi.org/10.48550/arxiv.2305.10549" @default.
- W4377130586 hasPublicationYear "2023" @default.
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