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This paper considers the source coding problem with broadcast side information. The side information is sent to two receivers through a noisy broadcast channel. We provide an outer bound of the rate--distortion--bandwidth (RDB) quadruples…

Information Theory · Computer Science 2026-02-19 Yiqi Chen , Holger Boche , Marc Geitz

Blau and Michaeli recently introduced a novel concept for inverse problems of signal processing, that is, the perception-distortion tradeoff. We introduce their tradeoff into the rate distortion theory of variable-length lossy source coding…

Information Theory · Computer Science 2019-02-12 Ryutaroh Matsumoto

This paper takes a rate-distortion approach to understanding the information-theoretic laws governing cache-aided communications systems. Specifically, we characterise the optimal tradeoffs between the delivery rate, cache capacity and…

Information Theory · Computer Science 2016-10-25 Roy Timo , Shirin Saeedi Bidokhti , Michèle Wigger , Bernhard C. Geiger

We consider the problem of lossy source coding with side information under a privacy constraint that the reconstruction sequence at a decoder should be kept secret to a certain extent from another terminal such as an eavesdropper, a sender,…

Information Theory · Computer Science 2014-06-25 Kittipong Kittichokechai , Tobias J. Oechtering , Mikael Skoglund

In this paper, the rate-distortion theory of the Gray-Wyner lossy source coding system is investigated. For the case of jointly Gaussian distributed sources, we establish an expression for the rate-distortion function under the constraint…

Information Theory · Computer Science 2023-03-29 Guojun Chen , Yinfei Xu , Ling Liu , Tiecheng Song , Jing Hu

We present a new technique to obtain outer-bounds on the capacity region of networks with ultra low-rate feedback. We establish a connection between the achievable rates in the forward channel and the minimum distortion that can be attained…

Information Theory · Computer Science 2021-05-11 Alireza Vahid

In this paper, we consider the problem of variable packet-error coding, which emerges in network communication scenarios where a source transmits information to a destination through multiple disjoint paths. The objective is to design codes…

Information Theory · Computer Science 2025-06-19 Xiangliang Kong , Xin Wang , Ron M. Roth , Itzhak Tamo

Consider the two-way rate-distortion problem in which a helper sends a common limited-rate message to both users based on side information at its disposal. We characterize the region of achievable rates and distortions where a Markov form…

Information Theory · Computer Science 2009-04-06 Haim Permuter , Yossi Steinberg , Tsachy Weissman

We consider the Cascade and Triangular rate-distortion problems where the same side information is available at the source node and User 1, and the side information available at User 2 is a degraded version of the side information at the…

Information Theory · Computer Science 2010-10-20 Yeow Khiang Chia , Haim Permuter , Tsachy Weissman

This work provides an algebraic framework for source coding with decoder side information and its dual problem, channel coding with encoder side information, showing that nested concatenated codes can achieve the corresponding…

Information Theory · Computer Science 2012-04-25 Felipe Cinelli Barbosa , Joerg Kliewer , Max H. M. Costa

We show that polar codes can be used to achieve the rate-distortion functions in the problem of hierarchical source coding also known as the successive refinement problem. We also analyze the distributed version of this problem,…

Information Theory · Computer Science 2015-09-22 Min Ye , Alexander Barg

Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder. The decoder is interested in reconstructing a linear…

Information Theory · Computer Science 2007-07-25 D. Krithivasan , S. S. Pradhan

A multiterminal lossy coding problem, which includes various problems such as the Wyner-Ziv problem and the complementary delivery problem as special cases, is considered. It is shown that any point in the achievable rate-distortion region…

Information Theory · Computer Science 2010-04-20 Shigeaki Kuzuoka , Akisato Kimura , Tomohiko Uyematsu

In this paper, we analyze the indirect source coding problem with side information at both the encoder and decoder, as well as only at the decoder. We first derive structural properties of the two rate distortion functions (RDFs) for…

Information Theory · Computer Science 2024-10-14 Evagoras Stylianou , Michail Gkagkos , Charalambos D. Charalambous

We revisit the Gray-Wyner lossy source coding problem and derive the first-order asymptotic optimal rate-distortion-perception region when additional perception constraints are imposed on reproduced source sequences. The optimal trade-off…

Information Theory · Computer Science 2026-01-19 Yu Yang , Yingxin Zhang , Weijie Yuan , Lin Zhou

We prove a new outer bound on the rate-distortion region for the multiterminal source-coding problem. This bound subsumes the best outer bound in the literature and improves upon it strictly in some cases. The improved bound enables us to…

Information Theory · Computer Science 2007-07-16 Aaron B. Wagner , Venkat Anantharam

Transformers achieve superior performance on many tasks, but impose heavy compute and memory requirements during inference. This inference can be made more efficient by partitioning the process across multiple devices, which, in turn,…

Machine Learning · Computer Science 2026-04-21 Anderson de Andrade , Alon Harell , Ivan V. Bajić

The three-node multiterminal lossy source coding problem is investigated. We derive an inner bound to the general rate-distortion region of this problem which is a natural extension of the seminal work by Kaspi'85 on the interactive…

Information Theory · Computer Science 2016-01-19 Leonardo Rey Vega , Pablo Piantanida , Alfred Hero

We consider the problem of multiple description scalar quantizers and describing the achievable rate-distortion tuples in that setting. We formulate it as a combinatorial optimization problem of arranging numbers in a matrix to minimize the…

Data Structures and Algorithms · Computer Science 2007-05-23 Tanya Y. Berger-Wolf , Edward M. Reingold

We consider the problem of rate/distortion with side information available only at the decoder. For the case of jointly-Gaussian source X and side information Y, and mean-squared error distortion, Wyner proved in 1976 that the…

Information Theory · Computer Science 2007-07-16 Sergio D. Servetto