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Various gradient compression schemes have been proposed to mitigate the communication cost in distributed training of large scale machine learning models. Sign-based methods, such as signSGD, have recently been gaining popularity because of…

Optimization and Control · Mathematics 2021-06-25 Mher Safaryan , Peter Richtárik

This paper presents Bit-Interleaved Coded Modulation metrics for joint estimation detection using training or reference signal transmission strategies for short to long block length channels. We show that it is possible to enhance the…

Information Theory · Computer Science 2025-02-11 Mody Sy , Raymond Knopp

Quantum stabilizer codes constructed from sparse matrices have good performance and can be efficiently decoded by belief propagation (BP). A conventional BP decoding algorithm treats binary stabilizer codes as additive codes over GF(4).…

Quantum Physics · Physics 2020-10-21 Kao-Yueh Kuo , Ching-Yi Lai

In practice, LDPC codes are decoded using message passing methods. These methods offer good performance but tend to converge slowly and sometimes fail to converge and to decode the desired codewords correctly. Recently, tree-reweighted…

Information Theory · Computer Science 2014-03-05 J. Li , R. C. de Lamare , H. Wymeersch

In streaming applications, doping improves the performance of spatially-coupled low-density parity-check (SC-LDPC) codes by creating reduced-degree check nodes in the coupled chain. We formulate a scaling law to predict the bit and block…

Information Theory · Computer Science 2021-04-23 Roman Sokolovskii , Alexandre Graell i Amat , Fredrik Brännström

Sparse regression codes with approximate message passing (AMP) decoding have gained much attention in recent times. The concepts underlying this coding scheme extend to unsourced access with coded compressed sensing (CCS), as first pointed…

Information Theory · Computer Science 2020-01-14 Vamsi K. Amalladinne , Asit Kumar Pradhan , Cynthia Rush , Jean-Francois Chamberland , Krishna R. Narayanan

The realization of quantum error correction protocols whose logical error rates are suppressed far below physical error rates relies on an intricate combination: the error-correcting code's efficiency, the syndrome extraction circuit's…

Quantum Physics · Physics 2026-03-06 Andrey Boris Khesin , Jonathan Z. Lu

The problem of low complexity, close to optimal, channel decoding of linear codes with short to moderate block length is considered. It is shown that deep learning methods can be used to improve a standard belief propagation decoder,…

Information Theory · Computer Science 2018-03-14 Eliya Nachmani , Elad Marciano , Loren Lugosch , Warren J. Gross , David Burshtein , Yair Beery

Staggered adoption of policies by different units at different times creates promising opportunities for observational causal inference. Estimation remains challenging, however, and common regression methods can give misleading results. A…

Methodology · Statistics 2021-01-19 Eli Ben-Michael , Avi Feller , Jesse Rothstein

Spatially coupled low-density parity-check codes show an outstanding performance under the low-complexity belief propagation (BP) decoding algorithm. They exhibit a peculiar convergence phenomenon above the BP threshold of the underlying…

Information Theory · Computer Science 2013-07-16 Vahid Aref , Laurent Schmalen , Stephan ten Brink

In this paper, we propose a neural window decoder (NWD) for spatially coupled low-density parity-check (SC-LDPC) codes. The proposed NWD retains the conventional window decoder (WD) process but incorporates trainable neural weights. To…

Machine Learning · Computer Science 2026-01-30 Dae-Young Yun , Hee-Youl Kwak , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No

We consider near maximum-likelihood (ML) decoding of short linear block codes. In particular, we propose a novel decoding approach based on neural belief propagation (NBP) decoding recently introduced by Nachmani et al. in which we allow a…

Information Theory · Computer Science 2020-11-30 Andreas Buchberger , Christian Häger , Henry D. Pfister , Laurent Schmalen , Alexandre Graell i Amat

This work presents a hardware-efficient and fully parallelizable decoder for quantum LDPC codes that leverages belief propagation (BP) with a speculative post-processing strategy inspired by classical Chase decoding algorithm. By monitoring…

Quantum Physics · Physics 2026-02-11 Ming Wang , Ang Li , Frank Mueller

We apply the Min-Sum message-passing protocol to solve the consensus problem in distributed optimization. We show that while the ordinary Min-Sum algorithm does not converge, a modified version of it known as Splitting yields convergence to…

Optimization and Control · Mathematics 2017-11-06 Patrick Rebeschini , Sekhar Tatikonda

Sparse regression codes (SPARCs) are a class of codes that encode information through the superposition of columns of a randomised coding matrix. The combination with an outer non-binary low density parity check (NB-LDPC) code was recently…

Information Theory · Computer Science 2025-09-23 Alexander Fengler , Burak Çakmak , Giuseppe Caire

Stochastic gradient descent (SGD) is an inherently sequential training algorithm--computing the gradient at batch $i$ depends on the model parameters learned from batch $i-1$. Prior approaches that break this dependence do not honor them…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Saeed Maleki , Madan Musuvathi , Todd Mytkowicz , Olli Saarikivi , Tianju Xu , Vadim Eksarevskiy , Jaliya Ekanayake , Emad Barsoum

We study the decoding transition for quantum error correcting codes with the help of a mapping to random-bond Wegner spin models. Families of quantum low density parity-check (LDPC) codes with a finite decoding threshold lead to both known…

Quantum Physics · Physics 2014-02-11 Alexey A. Kovalev , Leonid P. Pryadko

In this paper, a novel transmissive reconfigurable meta-surface (RMS) transceiver enabled multi-tier computing network architecture is proposed for improving computing capability, decreasing computing delay and reducing base station (BS)…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Zhendong Li , Wen Chen , Ziwei Liu , Hongying Tang , Jianmin Lu

Fully supervised change detection methods have achieved significant advancements in performance, yet they depend severely on acquiring costly pixel-level labels. Considering that the patch-level annotations also contain abundant information…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Zhenglai Li , Chang Tang , Xinwang Liu , Changdong Li , Xianju Li , Wei Zhang

Quantum error correction (QEC) is essential for operating quantum computers in the presence of noise. Here, we accurately decode arbitrary Calderbank-Shor-Steane (CSS) codes via the maximum satisfiability (MaxSAT) problem. We show how to…

Quantum Physics · Physics 2024-10-03 Mohammadreza Noormandipour , Tobias Haug