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Large-scale L1-regularized loss minimization problems arise in high-dimensional applications such as compressed sensing and high-dimensional supervised learning, including classification and regression problems. High-performance algorithms…

Machine Learning · Statistics 2012-12-19 Chad Scherrer , Ambuj Tewari , Mahantesh Halappanavar , David Haglin

Spatially coupled (SC) interleaving is proposed to improve the performance of iterative multiuser detection and decoding (MUDD) for quasi-static fading multiple-input multiple-output systems. The linear minimum mean-squared error (LMMSE)…

Information Theory · Computer Science 2013-08-20 Keigo Takeuchi , Shuhei Horio

Decentralized stochastic gradient method emerges as a promising solution for solving large-scale machine learning problems. This paper studies the decentralized Markov chain gradient descent (DMGD) algorithm - a variant of the decentralized…

Optimization and Control · Mathematics 2021-04-14 Tao Sun , Dongsheng Li

Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a promising class of codes for low-latency communication.…

Information Theory · Computer Science 2025-08-12 Roxana Smarandache , David G. M. Mitchell , Anthony Gómez-Fonseca

Recently a powerful class of rate-compatible serially concatenated convolutional codes (SCCCs) have been proposed based on minimizing analytical upper bounds on the error probability in the error floor region. Here this class of codes is…

Information Theory · Computer Science 2007-07-13 Alexandre Graell i Amat , Fredrik Brannstrom , Lars K. Rasmussen

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

Information Theory · Computer Science 2012-07-30 Yue Zhao , Francis C. M. Lau

We study the performance of binary spatially-coupled low-density parity-check codes (SC-LDPC) when used with bit-interleaved coded-modulation (BICM) schemes. This paper considers the cases when transmission takes place over additive white…

Information Theory · Computer Science 2013-03-05 Arvind Yedla , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

This work considers the problem of computing the canonical polyadic decomposition (CPD) of large tensors. Prior works mostly leverage data sparsity to handle this problem, which is not suitable for handling dense tensors that often arise in…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Xiao Fu , Shahana Ibrahim , Hoi-To Wai , Cheng Gao , Kejun Huang

In this work, we propose and analyze a generalized construction of distributed network codes for a network consisting of $M$ users sending different information to a common base station through independent block fading channels. The aim is…

Information Theory · Computer Science 2011-02-16 João Luiz Rebelatto , Bartolomeu F. Uchôa-Filho , Yonghui Li , Branka Vucetic

We study a variation of vanilla stochastic gradient descent where the optimizer only has access to a Markovian sampling scheme. These schemes encompass applications that range from decentralized optimization with a random walker (token…

Optimization and Control · Mathematics 2023-06-26 Mathieu Even

The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

Optimization and Control · Mathematics 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone

This paper explores the multi-access distributed computing (MADC) model, a novel distributed computing framework where mapper and reducer nodes are distinct entities. Unlike traditional MapReduce frameworks, MADC leverages coding-theoretic…

Information Theory · Computer Science 2025-08-08 Shanuja Sasi , Onur Günlü

The problem of synthesizing stochastic explicit model predictive control policies is known to be quickly intractable even for systems of modest complexity when using classical control-theoretic methods. To address this challenge, we present…

Machine Learning · Computer Science 2022-05-24 Ján Drgoňa , Sayak Mukherjee , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

This article introduces a novel concatenated coding scheme called sparse regression LDPC (SR-LDPC) codes. An SR-LDPC code consists of an outer non-binary LDPC code and an inner sparse regression code (SPARC) whose respective field size and…

Information Theory · Computer Science 2024-10-28 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

Semidefinite programming (SDP) is a powerful framework from convex optimization that has striking potential for data science applications. This paper develops a provably correct randomized algorithm for solving large, weakly constrained SDP…

Optimization and Control · Mathematics 2021-03-26 Alp Yurtsever , Joel A. Tropp , Olivier Fercoq , Madeleine Udell , Volkan Cevher

Distributed gradient descent (DGD) is an efficient way of implementing gradient descent (GD), especially for large data sets, by dividing the computation tasks into smaller subtasks and assigning to different computing servers (CSs) to be…

Information Theory · Computer Science 2018-11-29 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

We address the application of stochastic optimization methods for the simultaneous control of parameter-dependent systems. In particular, we focus on the classical Stochastic Gradient Descent (SGD) approach of Robbins and Monro, and on the…

Optimization and Control · Mathematics 2023-02-08 Umberto Biccari , Ana Navarro-Quiles , Enrique Zuazua

Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

Machine Learning · Computer Science 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

We present and analyze a stochastic distributed method (S-NEAR-DGD) that can tolerate inexact computation and inaccurate information exchange to alleviate the problems of costly gradient evaluations and bandwidth-limited communication in…

Optimization and Control · Mathematics 2021-02-02 Charikleia Iakovidou , Ermin Wei