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This paper introduces an information-theoretic framework for text summarization. We define the summarizer rate-distortion function and show that it provides a fundamental lower bound on summarizer performance. We describe an iterative…

Information Theory · Computer Science 2025-05-05 Enes Arda , Aylin Yener

In the successive refinement problem, a fixed-length sequence emitted from an information source is encoded into two codewords by two encoders in order to give two reconstructions of the sequence. One of two reconstructions is obtained by…

Information Theory · Computer Science 2018-12-26 Tetsunao Matsuta , Tomohiko Uyematsu

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…

Information Theory · Computer Science 2024-07-10 Jiahui Wei , Philippe Mary , Elsa Dupraz

The traditional methods for data compression are typically based on the symbol-level statistics, with the information source modeled as a long sequence of i.i.d. random variables or a stochastic process, thus establishing the fundamental…

Computation and Language · Computer Science 2023-04-04 Mingxiao Li , Rui Jin , Liyao Xiang , Kaiming Shen , Shuguang Cui

Traditional video codecs optimized for pixel fidelity collapse at ultra-low bitrates and produce severe artifacts. This failure arises from a fundamental misalignment between pixel accuracy and human perception. We propose a semantic video…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Lingdong Wang , Guan-Ming Su , Divya Kothandaraman , Tsung-Wei Huang , Mohammad Hajiesmaili , Ramesh K. Sitaraman

We present a novel systematic theoretical framework to analyze the rate-distortion (R-D) limits of learned image compression. While recent neural codecs have achieved remarkable empirical results, their distance from the…

Information Theory · Computer Science 2026-01-15 Changshuo Wang , Zijian Liang , Kai Niu , Ping Zhang

A receiver wants to compute a function of two correlated sources separately observed by two transmitters. One of the transmitters may send a possibly private message to the other transmitter in a cooperation phase before both transmitters…

Information Theory · Computer Science 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten

A novel distributed source coding model which named semantic-aware multi-terminal (MT) source coding is proposed and investigated in the paper, where multiple agents independently encode an imperceptible semantic source, while both semantic…

Information Theory · Computer Science 2024-04-24 Yuxuan Shi , Shuo Shao , Yongpeng Wu , Jun Chen , Wenjun Zhang

There has been a growing trend in compressing and transmitting videos from terminals for machine vision tasks. Nevertheless, most video coding optimization method focus on minimizing distortion according to human perceptual metrics,…

Multimedia · Computer Science 2025-12-18 Fei Zhao , Mengxi Guo , Shijie Zhao , Junlin Li , Li Zhang , Xiaodong Xie

We introduce the idea of distortion side information, which does not directly depend on the source but instead affects the distortion measure. We show that such distortion side information is not only useful at the encoder, but that under…

Information Theory · Computer Science 2007-07-16 Emin Martinian , Gregory W. Wornell , Ram Zamir

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 lossy source coding in information…

Information Theory · Computer Science 2018-11-01 Ryutaroh Matsumoto

The problem of distributed data compression for function computation is considered, where (i) the function to be computed is not necessarily symbol-wise function and (ii) the information source has memory and may not be stationary nor…

Information Theory · Computer Science 2015-05-12 Shigeaki Kuzuoka , Shun Watanabe

A fundamental question in designing lossy data compression schemes is how well one can do in comparison with the rate-distortion function, which describes the known theoretical limits of lossy compression. Motivated by the empirical success…

Information Theory · Computer Science 2024-03-05 Eric Lei , Hamed Hassani , Shirin Saeedi Bidokhti

In the Wyner-Ziv source coding problem, a source $X$ has to be encoded while the decoder has access to side information $Y$. This paper investigates the indirect setup, in which a latent source $S$, unobserved by both the encoder and the…

Information Theory · Computer Science 2025-07-25 Jiahui Wei , Philippe Mary , Elsa Dupraz

The rate-distortion-perception function (RDPF; Blau and Michaeli, 2019) has emerged as a useful tool for thinking about realism and distortion of reconstructions in lossy compression. Unlike the rate-distortion function, however, it is…

Information Theory · Computer Science 2021-04-29 Lucas Theis , Aaron B. Wagner

Shannon's rate-distortion theory treats source symbols as unstructured labels. When the source is a knowledge base equipped with a logical proof system, a natural fidelity criterion is closure fidelity: a reconstruction is acceptable if it…

Information Theory · Computer Science 2026-04-14 Jianfeng Xu

This paper deals with rate distortion or source coding with fidelity criterion, in measure spaces, for a class of source distributions. The class of source distributions is described by a relative entropy constraint set between the true and…

Information Theory · Computer Science 2013-05-07 Farzad Rezaei , Charalambos D. Charalambous , Photios A. Stavrou

We study source coding in the presence of side information, when the system can take actions that affect the availability, quality, or nature of the side information. We begin by extending the Wyner-Ziv problem of source coding with decoder…

Information Theory · Computer Science 2009-04-30 Tsachy Weissman , Haim H. Permuter

We introduce a new measure of information-theoretic secrecy based on rate-distortion theory and study it in the context of the Shannon cipher system. Whereas rate-distortion theory is traditionally concerned with a single reconstruction…

Information Theory · Computer Science 2014-11-25 Curt Schieler , Paul Cuff

We study the problem of efficient compression of a stochastic source of probability distributions. It can be viewed as a generalization of Shannon's source coding problem. It has relation to the theory of common randomness, as well as to…

Quantum Physics · Physics 2016-09-08 Andreas Winter