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In this paper, by treating Reed-Muller (RM) codes as a special class of low-density parity-check (LDPC) codes and assuming that sub-blocks of the parity-check matrix are randomly interleaved to each other as Gallager's codes, we present a…

Information Theory · Computer Science 2025-04-24 Xiao Ma

For output-symmetric DMCs at even moderately high rates, fixed-block-length communication systems show no improvements in their error exponents with feedback. In this paper, we study systems with fixed end-to-end delay and show that…

Information Theory · Computer Science 2007-12-06 Anant Sahai

We formulate a model for intermittent communication that can capture bursty transmissions or a sporadically available channel, where in either case the receiver does not know a priori when the transmissions will occur. Focusing on the…

Information Theory · Computer Science 2017-03-20 Mostafa Khoshnevisan , J Nicholas Laneman

This paper considers cluster detection in Block Markov Chains (BMCs). These Markov chains are characterized by a block structure in their transition matrix. More precisely, the $n$ possible states are divided into a finite number of $K$…

Probability · Mathematics 2019-07-31 Jaron Sanders , Alexandre Proutière , Se-Young Yun

We propose an approach for optimizing nonbinary (NB) quasi-cyclic (QC) LDPC codes. This approach combines constructing of base parity-check matrices by simulated annealing and labeling the obtained base matrices aimed at maximizing the…

Information Theory · Computer Science 2020-10-23 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek , Tähvend Uustalu

The problem of mismatched decoding for discrete memoryless channels is addressed. A mismatched cognitive multiple-access channel is introduced, and an inner bound on its capacity region is derived using two alternative encoding methods:…

Information Theory · Computer Science 2013-05-03 Anelia Somekh-Baruch

Many channel decoders rely on parallel decoding attempts to achieve good performance with acceptable latency. However, most of the time fewer attempts than the foreseen maximum are sufficient for successful decoding.…

Information Theory · Computer Science 2021-05-20 Carlo Condo , Alex Nicolescu

In this paper, we consider the problem of sequential transmission over the binary symmetric channel (BSC) with full, noiseless feedback. Naghshvar et al. proposed a one-phase encoding scheme, for which we refer to as the small-enough…

Information Theory · Computer Science 2020-05-29 Hengjie Yang , Richard D. Wesel

At the core of the quantum Internet lie quantum repeaters that enable remote end-to-end entanglement generation. Fundamentally, the entanglement generation rate and fidelity of quantum repeaters constitute the bottleneck for end-to-end…

Quantum Physics · Physics 2026-04-28 Karim S. Elsayed , Amr Rizk

Mixture distributions are a workhorse model for multimodal data in information theory, signal processing, and machine learning. Yet even when each component density is simple, the differential entropy of the mixture is notoriously hard to…

Information Theory · Computer Science 2026-02-18 Namyoon Lee

This paper applies probabilistic amplitude shaping (PAS) to a cyclic redundancy check (CRC) aided trellis coded modulation (TCM) to achieve the short-blocklength random coding union (RCU) bound. In the transmitter, the equally likely…

Information Theory · Computer Science 2021-11-18 Linfang Wang , Dan Song , Felipe Areces , Richard D. Wesel

In this paper, we consider encoding strategies for the Z-channel with noiseless feedback. We analyze the combinatorial setting where the maximum number of errors inflicted by an adversary is proportional to the number of transmissions,…

Information Theory · Computer Science 2021-02-11 Christian Deppe , Vladimir Lebedev , Georg Maringer , Nikita Polyanskii

A novel and efficient neural decoder algorithm is proposed. The proposed decoder is based on the neural Belief Propagation algorithm and the Automorphism Group. By combining neural belief propagation with permutations from the Automorphism…

Information Theory · Computer Science 2018-01-10 Eliya Nachmani , Yaron Bachar , Elad Marciano , David Burshtein , Yair Be'ery

For the model of communication through a discrete memoryless channel using i.i.d. random block codes, where the channel is changing slowly from block to block, we propose a stochastic algorithm for adaptation of the generating distribution…

Information Theory · Computer Science 2018-01-23 Sergey Tridenski , Ram Zamir

We frame the problem of selecting an optimal audio encoding scheme as a supervised learning task. Through uniform convergence theory, we guarantee approximately optimal codec selection while controlling for selection bias. We present…

Sound · Computer Science 2018-12-20 Clayton Sanford , Cyrus Cousins , Eli Upfal

We study coding schemes for error correction in interactive communications. Such interactive coding schemes simulate any $n$-round interactive protocol using $N$ rounds over an adversarial channel that corrupts up to $\rho N$ transmissions.…

Data Structures and Algorithms · Computer Science 2014-04-17 Mohsen Ghaffari , Bernhard Haeupler

The mixed membership stochastic blockmodel is a statistical model for a graph, which extends the stochastic blockmodel by allowing every node to randomly choose a different community each time a decision of whether to form an edge is made.…

Methodology · Statistics 2017-05-15 Patrick Rubin-Delanchy , Carey E. Priebe , Minh Tang

Consider the problem of finding high dimensional approximate nearest neighbors, where the data is generated by some known probabilistic model. We will investigate a large natural class of algorithms which we call bucketing codes. We will…

Information Theory · Computer Science 2016-11-17 Moshe Dubiner

Reed-Muller (RM) codes exhibit good performance under maximum-likelihood (ML) decoding due to their highly-symmetric structure. In this paper, we explore the question of whether the code symmetry of RM codes can also be exploited to achieve…

Information Theory · Computer Science 2018-04-30 Elia Santi , Christian Häger , Henry D. Pfister

For the information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that…

Information Theory · Computer Science 2008-08-18 Marat V. Burnashev , Hirosuke Yamamoto