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This paper analyzes the fundamental limit of the strategic semantic communication problem in which a transmitter obtains a limited number of indirect observation of an intrinsic semantic information source and can then influence the…

信息论 · 计算机科学 2022-08-09 Yong Xiao , Xu Zhang , Yingyu Li , Guangming Shi , Tamer Basar

A new numerical method to solve an inverse source problem for the radiative transfer equation involving the absorption and scattering terms, with incomplete data, is proposed. No restrictive assumption on those absorption and scattering…

数值分析 · 数学 2019-04-02 Alexey V. Smirnov , Michael V. Klibanov , Loc H. Nguyen

The order of letters is not always relevant in a communication task. This paper discusses the implications of order irrelevance on source coding, presenting results in several major branches of source coding theory: lossless coding,…

信息论 · 计算机科学 2007-08-20 Lav R. Varshney , Vivek K. Goyal

This paper presents a one shot analysis of the lossy compression problem under average distortion constraints. We calculate the exact expected distortion of a random code. The result is given as an integral formula using a newly defined…

信息论 · 计算机科学 2020-05-18 Nir Elkayam , Meir Feder

Past works on remote lossy source coding studied the rate under average distortion and the error exponent of excess distortion probability. In this work, we look into how fast the excess distortion probability converges to 1 at small rates,…

信息论 · 计算机科学 2025-04-24 Han Wu , Hamdi Joudeh

We consider the recovery of a continuous-time Wiener process from a quantized or lossy compressed version of its uniform samples under limited bitrate and sampling rate. We derive a closed form expression for the optimal tradeoff among…

信息论 · 计算机科学 2018-07-27 Alon Kipnis , Andrea J. Goldsmith , Yonina C. Eldar

In this paper, we consider the mismatched rate-distortion problem, in which the encoding is done using a codebook, and the encoder chooses the minimum-distortion codeword according to a mismatched distortion function that differs from the…

信息论 · 计算机科学 2022-12-20 Millen Kanabar , Jonathan Scarlett

We establish the first information-theoretic limits for multimodal retrieval. Casting ranking as lossy source coding, we derive a single-letter rate-distortion function $R(D)$ for reciprocal-rank distortion and prove a converse bound that…

信息论 · 计算机科学 2025-09-16 Thomas Y. Chen

This paper finds new tight finite-blocklength bounds for the best achievable lossy joint source-channel code rate, and demonstrates that joint source-channel code design brings considerable performance advantage over a separate one in the…

信息论 · 计算机科学 2014-02-05 Victoria Kostina , Sergio Verdú

The rate-distortion curve captures the fundamental tradeoff between compression length and resolution in lossy data compression. However, it conceals the underlying dynamics of optimal source encodings or test channels. We argue that these…

信息论 · 计算机科学 2023-07-03 Shlomi Agmon

We study the power-versus-distortion trade-off for the transmission of a memoryless bivariate Gaussian source over a two-to-one Gaussian multiple-access channel with perfect causal feedback. In this problem, each of two separate…

信息论 · 计算机科学 2009-03-23 Amos Lapidoth , Stephan Tinguely

Recently, a secrecy measure based on list-reconstruction has been proposed [2], in which a wiretapper is allowed to produce a list of $2^{mR_{L}}$ reconstruction sequences and the secrecy is measured by the minimum distortion over the…

信息论 · 计算机科学 2017-07-25 Lei Yu , Houqiang Li , Weiping Li

The rate-distortion function (RDF) has long been an information-theoretic benchmark for data compression. As its natural extension, the indirect rate-distortion function (iRDF) corresponds to the scenario where the encoder can only access…

信息论 · 计算机科学 2025-03-11 Zichao Yu , Qiang Sun , Wenyi Zhang

We consider a problem where a memoryless bi-variate Gaussian source is to be transmitted over an additive white Gaussian multiple-access channel with two transmitting terminals and one receiving terminal. The first transmitter only sees the…

信息论 · 计算机科学 2007-07-16 Amos Lapidoth , Stephan Tinguely

This paper investigates the rate-distortion function, under a squared error distortion $D$, for an $n$-dimensional random vector uniformly distributed on an $(n-1)$-sphere of radius $R$. First, an expression for the rate-distortion function…

信息论 · 计算机科学 2024-01-10 Alex Dytso , Martina Cardone

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…

信息论 · 计算机科学 2021-04-29 Lucas Theis , Aaron B. Wagner

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…

信息论 · 计算机科学 2023-03-29 Guojun Chen , Yinfei Xu , Ling Liu , Tiecheng Song , Jing Hu

The problem of secure lossy source-channel wiretapping with arbitrarily correlated side informations at both receivers is investigated. This scenario consists of an encoder (referred to as Alice) that wishes to compress a source and send it…

信息论 · 计算机科学 2011-10-11 Joffrey Villard , Pablo Piantanida , Shlomo Shamai

We investigate distributed source coding of two correlated sources X and Y where messages are passed to a decoder in a cascade fashion. The encoder of X sends a message at rate R_1 to the encoder of Y. The encoder of Y then sends a message…

信息论 · 计算机科学 2009-05-13 Paul Cuff , Han-I Su , Abbas El Gamal

A framework is developed using techniques from rate distortion theory in statistical testing. The idea is first to do optimal compression according to a certain distortion function and then use information divergence from the compressed…

信息论 · 计算机科学 2009-04-01 Peter Harremoes