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Focal loss has recently gained significant popularity, particularly in tasks like object detection where it helps to address class imbalance by focusing more on hard-to-classify examples. This work proposes the focal loss as a distortion…

信息论 · 计算机科学 2025-04-29 Alex Dytso , Martina Cardone

For variable-length coding with an almost-sure distortion constraint, Zhang et al. show that for discrete sources the redundancy is upper bounded by $\log n/n$ and lower bounded (in most cases) by $\log n/(2n)$, ignoring lower order terms.…

信息论 · 计算机科学 2026-01-21 Sharang M. Sriramu , Aaron B. Wagner

This paper deals with the problem of universal lossless coding on a countable infinite alphabet. It focuses on some classes of sources defined by an envelope condition on the marginal distribution, namely exponentially decreasing envelope…

信息论 · 计算机科学 2011-07-07 Dominique Bontemps

We study lossy compression of a finite statement source generated in a fixed deductive environment. The source symbols are statements in a knowledge base endowed with a shared proof system, and reconstruction fidelity is measured by…

信息论 · 计算机科学 2026-05-29 Jianfeng Xu

The problem of lossless fixed-rate streaming coding of discrete memoryless sources with side information at the decoder is studied. A random time-varying tree-code is used to sequentially bin strings and a Stack Algorithm with a variable…

信息论 · 计算机科学 2007-07-13 Hari Palaiyanur , Anant Sahai

Consider the set of source distributions within a fixed maximum relative entropy with respect to a given nominal distribution. Lossless source coding over this relative entropy ball can be approached in more than one way. A problem…

信息论 · 计算机科学 2011-05-03 Michael B. Baer , Farzad Rezaei , Charalambos D. Charalambous

A lossy source code $\mathcal{C}$ with rate $R$ for a discrete memoryless source $S$ is called subset-universal if for every $0<R'< R$, almost every subset of $2^{nR'}$ of its codewords achieves average distortion close to the source's…

信息论 · 计算机科学 2015-03-13 Or Ordentlich , Ofer Shayevitz

We consider lossy source coding when side information affecting the distortion measure may be available at the encoder, decoder, both, or neither. For example, such distortion side information can model reliabilities for noisy measurements,…

信息论 · 计算机科学 2014-11-17 Emin Martinian , Gregory W. Wornell , Ram Zamir

This paper presents new lower and upper bounds for the compression rate of binary prefix codes optimized over memoryless sources according to various nonlinear codeword length objectives. Like the most well-known redundancy bounds for…

信息论 · 计算机科学 2010-10-08 Michael B. Baer

We investigate two source coding problems with secrecy constraints. In the first problem we consider real--time fully secure transmission of a memoryless source. We show that although classical variable--rate coding is not an option since…

信息论 · 计算机科学 2012-05-16 Yonatan Kaspi , Neri Merhav

This paper proves the separation between source-network coding and channel coding in networks of noisy, discrete, memoryless channels. We show that the set of achievable distortion matrices in delivering a family of dependent sources across…

信息论 · 计算机科学 2016-11-17 Shirin Jalali , Michelle Effros

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

信息论 · 计算机科学 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

This paper investigates the general distributed lossless/lossy source coding formulated by Jana and Blahut. Their multi-letter rate-distortion region, an alternative to the region derived by Yang and Qin, is characterized by entropy…

信息论 · 计算机科学 2024-07-08 Jun Muramatsu

We introduce a universal quantization scheme based on random coding, and we analyze its performance. This scheme consists of a source-independent random codebook (typically_mismatched_ to the source distribution), followed by optimal…

信息论 · 计算机科学 2007-07-13 Ioannis Kontoyiannis , Rami Zamir

The problem of variable length and fixed-distortion universal source coding (or D-semifaithful source coding) for stationary and memoryless sources on countably infinite alphabets ($\infty$-alphabets) is addressed in this paper. The main…

信息论 · 计算机科学 2021-07-13 Jorge F. Silva , Pablo Piantanida

We examine the coordinated and universal rate-efficient sampling of a subset of correlated discrete memoryless sources followed by lossy compression of the sampled sources. The goal is to reconstruct a predesignated subset of sources within…

信息论 · 计算机科学 2017-06-23 Vinay Praneeth Boda , Prakash Narayan

In this paper, we investigate the redundancy of universal coding schemes on smooth parametric sources in the finite-length regime. We derive an upper bound on the probability of the event that a sequence of length $n$, chosen using…

信息论 · 计算机科学 2011-10-27 Ahmad Beirami , Faramarz Fekri

Since the publication of Shannon's theory of one terminal source coding, a number of interesting extensions have been derived by researchers such as Slepian-Wolf, Wyner, Ahlswede-K\"{o}rner, Wyner-Ziv and Berger-Yeung. Specifically, the…

信息论 · 计算机科学 2007-07-13 Soumya Jana

A lossy source coding problem is studied in which a source encoder communicates with two decoders, one with and one without correlated side information with an additional constraint on the privacy of the side information at the uninformed…

信息论 · 计算机科学 2011-06-13 Ravi Tandon , Lalitha Sankar , H. Vincent Poor

We show the existence of variable-rate rate-distortion codes that meet the disortion constraint almost surely and are minimax, i.e., strongly, universal with respect to an unknown source distribution and a distortion measure that is…

信息论 · 计算机科学 2022-11-29 Adeel Mahmood , Aaron B. Wagner