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We consider a point-to-point communication system, where in addition to the encoder and the decoder, there is a helper that observes non-causally the realization of the noise vector and provides a (lossy) rate-$R_{\mbox{\tiny h}}$…

信息论 · 计算机科学 2020-11-23 Neri Merhav

This paper establishes the exact strong converse exponent of the soft covering problem in the classical setting. This exponent characterizes the slowest achievable convergence speed of the total variation to one when a code of rate below…

信息论 · 计算机科学 2026-04-01 Xingyi He , S. Sandeep Pradhan , Andreas Winter

Byte-Pair Encoding (BPE) is a widely used method for subword tokenization, with origins in grammar-based text compression. It is employed in a variety of language processing tasks such as machine translation or large language model (LLM)…

数据结构与算法 · 计算机科学 2024-11-14 László Kozma , Johannes Voderholzer

Determining the exact decoding error probability of linear block codes is an interesting problem. For binary BCH codes, McEliece derived methods to estimate the error probability of a simple bounded distance decoding (BDD) for BCH codes.…

信息论 · 计算机科学 2026-01-29 Sisi Miao , Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

信息论 · 计算机科学 2016-11-17 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

We provide a novel upper-bound on Witsenhausen's rate, the rate required in the zero-error analogue of the Slepian-Wolf problem; our bound is given in terms of a new information-theoretic functional defined on a certain graph. We then use…

信息论 · 计算机科学 2010-01-25 Benjamin G. Kelly , Aaron B. Wagner

The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen's inequality as well as some other inequalities in the derivation, we demonstrate that an exponentially…

信息论 · 计算机科学 2016-11-17 Neri Merhav

This paper characterizes the optimal type-II error exponent for a distributed hypothesis testing-against-independence problem when the \emph{expected} rate of the sensor-detector link is constrained. Unlike for the well-known…

信息论 · 计算机科学 2019-10-21 Sadaf Salehkalaibar , Michele Wigger

We consider the problem of decentralized detection in a network consisting of a large number of nodes arranged as a tree of bounded height, under the assumption of conditionally independent, identically distributed observations. We…

信息论 · 计算机科学 2008-03-18 Wee Peng Tay , John Tsitsiklis , Moe Win

We study a class of distributed hypothesis testing against conditional independence problems. Under the criterion that stipulates minimization of the Type II error rate subject to a (constant) upper bound $\epsilon$ on the Type I error…

信息论 · 计算机科学 2019-04-08 Abdellatif Zaidi , Inaki Estella Aguerri

Coding and testing schemes for binary hypothesis testing over noisy networks are proposed and their corresponding type-II error exponents are derived. When communication is over a discrete memoryless channel (DMC), our scheme combines…

信息论 · 计算机科学 2018-06-15 Sadaf Salehkalaibar , Michele Wigger

We consider the discrete memoryless degraded broadcast channels. We prove that the error probability of decoding tends to one exponentially for rates outside the capacity region and derive an explicit lower bound of this exponent function.…

信息论 · 计算机科学 2015-04-23 Yasutada Oohama

This paper considers guessing-based decoders with abandonment for discrete memoryless channels in which all codewords have the same composition. This class of decoders rank-orders all input sequences in the codebook's composition class from…

信息论 · 计算机科学 2025-08-11 Vincent Y. F. Tan , Hamdi Joudeh

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

机器学习 · 计算机科学 2021-09-01 Farzad Shahrivari , Nikola Zlatanov

We consider a communication problem in which the receiver must first detect the presence of an information packet and, if detected, decode the message carried within it. We present general nonasymptotic upper and lower bounds on the maximum…

信息论 · 计算机科学 2021-09-29 Alejandro Lancho , Johan Östman , Giuseppe Durisi

This paper is devoted to the finite-length analysis of turbo decoding over the binary erasure channel (BEC). The performance of iterative belief-propagation (BP) decoding of low-density parity-check (LDPC) codes over the BEC can be…

信息论 · 计算机科学 2011-05-31 Eirik Rosnes , Øyvind Ytrehus

For the information transmission over a binary symmetric channel the random coding is used. The transmission of exponential number of messages is considered. The exact decoding error probability exponent is derived. The proof is based on…

信息论 · 计算机科学 2026-05-20 Marat V. Burnashev

This paper considers the problem of channel coding with a given (possibly suboptimal) maximum-metric decoding rule. A cost-constrained random-coding ensemble with multiple auxiliary costs is introduced, and is shown to achieve error…

信息论 · 计算机科学 2014-03-05 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

We investigate the testing-against-independence problem \mw{over a cooperative MAC} with two sensors and a single detector under an average rate constraint on the sensors-detector links. For this setup, we design a variable-length coding…

信息论 · 计算机科学 2020-10-20 Mustapha Hamad , Michèle Wigger , Mireille Sarkiss

A new universal coding/decoding scheme for random access with collision detection is given in the case of two senders. The result is used to give an achievable joint source-channel coding error exponent for multiple access channels in the…

信息论 · 计算机科学 2013-09-19 Lóránt Farkas , Tamás Kói