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In this paper, we propose an optimal but low-complexity optimization method for nonsquare differential massive MIMO. While a discrete nonlinear optimization is required for the conventional nonsquare differential coding, we newly modify it…

Signal Processing · Electrical Eng. & Systems 2023-05-29 Yuma Katsuki , Naoki Ishikawa

This paper considers the problem of implementing large-scale gradient descent algorithms in a distributed computing setting in the presence of {\em straggling} processors. To mitigate the effect of the stragglers, it has been previously…

Machine Learning · Statistics 2019-01-04 Raj Kumar Maity , Ankit Singh Rawat , Arya Mazumdar

We propose a new class of efficient decoding algorithms for Reed-Muller (RM) codes over binary-input memoryless channels. The algorithms are based on projecting the code on its cosets, recursively decoding the projected codes (which are…

Information Theory · Computer Science 2020-02-27 Min Ye , Emmanuel Abbe

Block-coordinate algorithms are recognized to furnish efficient iterative schemes for addressing large-scale problems, especially when the computation of full derivatives entails substantial memory requirements and computational efforts. In…

Optimization and Control · Mathematics 2025-04-16 Pedro Pérez-Aros , David Torregrosa-Belén

BiD codes, which are a new family of algebraic codes of length $3^m$, achieve the erasure channel capacity under bit-MAP decoding and offer asymptotically larger minimum distance than Reed-Muller (RM) codes. In this paper we propose fast…

Information Theory · Computer Science 2026-01-15 Devansh Jain , Lakshmi Prasad Natarajan

The receiver design for multi-input multi-output (MIMO) ultra-reliable and low-latency communication (URLLC) systems can be a tough task due to the use of short channel codes and few pilot symbols. Consequently, error propagation can occur…

Signal Processing · Electrical Eng. & Systems 2024-04-12 Yi Sun , Hong Shen , Bingqing Li , Wei Xu , Pengcheng Zhu , Nan Hu , Chunming Zhao

Much effort has been directed at algorithms for obtaining the highest probability configuration in a probabilistic random field model known as the maximum a posteriori (MAP) inference problem. In many situations, one could benefit from…

Artificial Intelligence · Computer Science 2012-10-19 Dhruv Batra

Lagrange coded computation (LCC) is essential to solving problems about matrix polynomials in a coded distributed fashion; nevertheless, it can only solve the problems that are representable as matrix polynomials. In this paper, we propose…

Information Theory · Computer Science 2022-05-23 Navneet Agrawal , Yuqin Qiu , Matthias Frey , Igor Bjelakovic , Setareh Maghsudi , Slawomir Stanczak , Jingge Zhu

Numerous linear and non-linear data-detection and precoding algorithms for wideband massive multi-user (MU) multiple-input multiple-output (MIMO) wireless systems that rely on orthogonal frequency-division multiplexing (OFDM) or…

Information Theory · Computer Science 2018-11-12 Charles Jeon , Zequn Li , Christoph Studer

The problem of efficient modulation classification (MC) in multiple-input multiple-output (MIMO) systems is considered. Per-layer likelihood-based MC is proposed by employing subspace decomposition to partially decouple the transmitted…

Information Theory · Computer Science 2016-10-12 Hadi Sarieddeen , Mohammad M. Mansour , Ali Chehab

We present an algorithm that efficiently performs blind decoding of MIMO signals. That is, given no channel state information (CSI) at either the transmitter or receiver, our algorithm takes a block of samples and returns an estimate of the…

Signal Processing · Electrical Eng. & Systems 2019-05-10 Thomas Dean , Jonathan Perlstein , Mary Wootters , Andrea Goldsmith

Gradient coding is a technique for straggler mitigation in distributed learning. In this paper we design novel gradient codes using tools from classical coding theory, namely, cyclic MDS codes, which compare favorably with existing…

Information Theory · Computer Science 2019-07-09 Netanel Raviv , Itzhak Tamo , Rashish Tandon , Alexandros G. Dimakis

Single Input-Multiple Output (SIMO) systems are key enablers of high data rates in the next generation wireless communications. However in SIMO systems, channel estimation and equalization are challenging particularly in the presence of…

Information Theory · Computer Science 2025-12-09 K Sai Praneeth , P Aswathylakshmi , Radhakrishna Ganti

Channel and frequency offset estimation is a classic topic with a large body of prior work using mainly maximum likelihood (ML) approach together with Cram\'er-Rao Lower bounds (CRLB) analysis. We provide the maximum a posteriori (MAP)…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Mingda Zhou , Zhe Feng , Xinming Huang , Youjian , Liu

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

Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. The aim of LP decoding is to develop an algorithm which has error-correcting performance…

Information Theory · Computer Science 2010-10-05 Mayur Punekar , Mark F. Flanagan

In this paper, a new method for decoding Low Density Parity Check (LDPC) codes, based on Multi-Layer Perceptron (MLP) neural networks is proposed. Due to the fact that in neural networks all procedures are processed in parallel, this method…

Information Theory · Computer Science 2014-11-14 Alireza Karami , Mahmoud Ahmadian Attari

Reducing communication complexity is critical for efficient decentralized optimization. The proximal decentralized optimization (PDO) framework is particularly appealing, as methods within this framework can exploit functional similarity…

Machine Learning · Computer Science 2025-06-09 Yuki Takezawa , Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

We analyse the convergence of the proximal gradient algorithm for convex composite problems in the presence of gradient and proximal computational inaccuracies. We derive new tighter deterministic and probabilistic bounds that we use to…

Optimization and Control · Mathematics 2022-03-07 Anis Hamadouche , Yun Wu , Andrew M. Wallace , Joao F. C. Mota

MIMO systems are considered as most promising for wireless communications. However, with an increasing number of radio front ends the corresponding energy consumption and costs become an issue, which can be relieved by the utilization of…

Information Theory · Computer Science 2019-09-30 Erico S. P. Lopes , Lukas T. N. Landau
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