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We study the rate-distortion problem for both scalar and vector memoryless heavy-tailed $\alpha$-stable sources ($0 < \alpha < 2$). Using a recently defined notion of ``strength" as a power measure, we derive the rate-distortion function…

信息论 · 计算机科学 2026-02-27 Karim Ezzeddine , Jihad Fahs , Ibrahim Abou-Faycal

For the HB problem with the CR constraint, the rate-distortion function is derived under the assumption that the side information sequences are (stochastically) degraded. The rate-distortion function is also calculated explicitly for three…

信息论 · 计算机科学 2016-11-18 Behzad Ahmadi , Ravi Tandon , Osvaldo Simeone , H. Vincent Poor

In 1985 Kaspi provided a single-letter characterization of the sum-rate-distortion function for a two-way lossy source coding problem in which two terminals send multiple messages back and forth with the goal of reproducing each other's…

信息论 · 计算机科学 2010-06-02 Nan Ma , Prakash Ishwar

We investigate the upper and lower bounds on the quantization distortions for independent and identically distributed sources in the finite block-length regime. Based on the convex optimization framework of the rate-distortion theory, we…

信息论 · 计算机科学 2013-06-21 Chen Gong , Xiaodong Wang

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…

信息论 · 计算机科学 2010-10-20 Yeow Khiang Chia , Haim Permuter , Tsachy Weissman

We consider the function computation problem in a three node network with one encoder and two decoders. The encoder has access to two correlated sources $X$ and $Y$. The encoder encodes $X^n$ and $Y^n$ into a message which is given to two…

信息论 · 计算机科学 2016-10-05 Jithin Ravi , Bikash Kumar Dey

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, real-world…

信息论 · 计算机科学 2023-05-09 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

Communication efficient distributed mean estimation is an important primitive that arises in many distributed learning and optimization scenarios such as federated learning. Without any probabilistic assumptions on the underlying data, we…

信息论 · 计算机科学 2022-11-15 Prathamesh Mayekar , Shubham Jha , Ananda Theertha Suresh , Himanshu Tyagi

We study an interference network where equally-numbered transmitters and receivers lie on two parallel lines, each transmitter opposite its intended receiver. We consider two short-range interference models: the "asymmetric network," where…

信息论 · 计算机科学 2016-11-17 Amos Lapidoth , Nathan Levy , Shlomo Shamai , Michele Wigger

The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously…

信息论 · 计算机科学 2013-11-11 Joffrey Villard , Pablo Piantanida

We study the problem of compressing a source sequence in the presence of side-information that is related to the source via insertions, deletions and substitutions. We propose a simple algorithm to compress the source sequence when the…

信息论 · 计算机科学 2016-11-15 Nan Ma , Kannan Ramchandran , David Tse

In the context of goal-oriented communications, this paper addresses the achievable rate versus generalization error region of a learning task applied on compressed data. The study focuses on the distributed setup where a source is…

信息论 · 计算机科学 2024-07-10 Jiahui Wei , Philippe Mary , Elsa Dupraz

We consider lossy compression of an information source when decoder-only side information may be absent. This setup, also referred to as the Heegard-Berger or Kaspi problem, is a special case of robust distributed source coding. Building…

信息论 · 计算机科学 2024-05-08 Eyyup Tasci , Ezgi Ozyilkan , Oguzhan Kubilay Ulger , Elza Erkip

The Shannon lower bound has been the subject of several important contributions by Berger. This paper surveys Shannon bounds on rate-distortion problems under mean-squared error distortion with a particular emphasis on Berger's techniques.…

信息论 · 计算机科学 2024-09-24 Michael Gastpar , Erixhen Sula

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, practical…

信息论 · 计算机科学 2024-05-22 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

This paper characterizes the second-order coding rates for lossy source coding with side information available at both the encoder and the decoder. We first provide non-asymptotic bounds for this problem and then specialize the…

信息论 · 计算机科学 2014-10-13 Sy-Quoc Le , Vincent Y. F. Tan , Mehul Motani

Learned image compression codecs have recently achieved impressive compression performances surpassing the most efficient image coding architectures. However, most approaches are trained to minimize rate and distortion which often leads to…

计算机视觉与模式识别 · 计算机科学 2024-03-06 Daniele Mari , Simone Milani

We consider a secure source coding problem with side information (S.I.) at the decoder and the eavesdropper. The encoder has a source that it wishes to describe with limited distortion through a rate limited link to a legitimate decoder.…

信息论 · 计算机科学 2013-07-04 Yeow-Khiang Chia , Kittipong Kittichokechai

We improve the existing achievable rate regions for causal and for zero-delay source coding of stationary Gaussian sources under an average mean squared error (MSE) distortion measure. To begin with, we find a closed-form expression for the…

信息论 · 计算机科学 2011-05-03 Milan S. Derpich , Jan Østergaard

A composite source, consisting of multiple subsources and a memoryless switch, outputs one symbol at a time from the subsource selected by the switch. If some data should be encoded more accurately than other data from an information…

信息论 · 计算机科学 2024-11-14 Jiakun Liu , H. Vincent Poor , Iickho Song , Wenyi Zhang