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We consider the problem of designing codes with flexible rate (referred to as rateless codes), for private distributed matrix-matrix multiplication. A master server owns two private matrices $\mathbf{A}$ and $\mathbf{B}$ and hires worker…

Information Theory · Computer Science 2021-01-15 Rawad Bitar , Marvin Xhemrishi , Antonia Wachter-Zeh

Coded computing is an effective technique to mitigate "stragglers" in large-scale and distributed matrix multiplication. In particular, univariate polynomial codes have been shown to be effective in straggler mitigation by making the…

Information Theory · Computer Science 2021-08-19 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

Distributed computing systems are well-known to suffer from the problem of slow or failed nodes; these are referred to as stragglers. Straggler mitigation (for distributed matrix computations) has recently been investigated from the…

Information Theory · Computer Science 2024-12-20 Anindya Bijoy Das , Aditya Ramamoorthy

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

Optimization and Control · Mathematics 2025-11-03 Damilola Fasiku , Wentao Tang

We consider the problem of massive matrix multiplication, which underlies many data analytic applications, in a large-scale distributed system comprising a group of worker nodes. We target the stragglers' delay performance bottleneck, which…

Information Theory · Computer Science 2020-04-10 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

A secure multi-party batch matrix multiplication problem (SMBMM) is considered, where the goal is to allow a master to efficiently compute the pairwise products of two batches of massive matrices, by distributing the computation across S…

Information Theory · Computer Science 2020-09-08 Zhen Chen , Zhuqing Jia , Zhiying Wang , Syed A. Jafar

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

Matrix multiplication is a fundamental building block for large scale computations arising in various applications, including machine learning. There has been significant recent interest in using coding to speed up distributed matrix…

Information Theory · Computer Science 2019-05-17 Wei-Ting Chang , Ravi Tandon

We consider polynomial codes for private distributed matrix multiplication (PDMM/SDMM). Existing codes for PDMM are either specialized for the outer product partitioning (OPP), or inner product partitioning (IPP), or are valid for the more…

Information Theory · Computer Science 2026-01-27 Christoph Hofmeister , Razane Tajeddine , Antonia Wachter-Zeh , Rawad Bitar

A cumbersome operation in many scientific fields, is inverting large full-rank matrices. In this paper, we propose a coded computing approach for recovering matrix inverse approximations. We first present an approximate matrix inversion…

Information Theory · Computer Science 2022-12-21 Neophytos Charalambides , Mert Pilanci , Alfred Hero

Code-based Distributed Matrix Multiplication (DMM) has been extensively studied in distributed computing for efficiently performing large-scale matrix multiplication using coding theoretic techniques. The communication cost and recovery…

Information Theory · Computer Science 2024-08-06 Jiang Li , Songsong Li , Chaoping Xing

Resource allocation plays a central role in many networked systems such as smart grids, communication networks and urban transportation systems. In these systems, many constraints have physical meaning and having feasible allocation is…

Optimization and Control · Mathematics 2022-07-14 Xuyang Wu , Sindri Magnusson , Mikael Johansson

Sparse random projection (RP) is a popular tool for dimensionality reduction that shows promising performance with low computational complexity. However, in the existing sparse RP matrices, the positions of non-zero entries are usually…

Machine Learning · Computer Science 2020-02-10 Li Chen , Shuizheng Zhou , Jiajun Ma

A multiply-accumulate (MAC) operation is the main computation unit for DSP applications. DSP blocks are one of the efficient solutions to implement MACs in FPGA's. However, since the DSP blocks have wide multiplier and adder blocks, MAC…

Hardware Architecture · Computer Science 2021-10-26 Ercan Kalali , Rene van Leuken

In this paper, we propose two novel modulation concepts based on a simple maximum distance separable (MDS) code { and show that these concepts can achieve better error performance than index modulation (IM) and related schemes.} In the…

Signal Processing · Electrical Eng. & Systems 2021-08-11 Ferhat Yarkin , Justin P. Coon

We study the problem of differentially private (DP) secure multiplication in distributed computing systems, focusing on regimes where perfect privacy and perfect accuracy cannot be simultaneously achieved. Specifically, N nodes…

Information Theory · Computer Science 2026-03-12 Haoyang Hu , Viveck R. Cadambe

Distributed-memory matrix multiplication (MM) is a key element of algorithms in many domains (machine learning, quantum physics). Conventional algorithms for dense MM rely on regular/uniform data decomposition to ensure load balance. These…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-21 Justus A. Calvin , Edward F. Valeev

Multiplying two sparse matrices (SpGEMM) is a common computational primitive used in many areas including graph algorithms, bioinformatics, algebraic multigrid solvers, and randomized sketching. Distributed-memory parallel algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Yuxi Hong , Aydin Buluc

Spatial modulation (SM) is a promising multiple-input multiple-output system used to increase spectral efficiency. The maximum likelihood (ML) decoder jointly detects the transmitted SM symbol, which is of high complexity. In this paper, a…

Information Theory · Computer Science 2020-06-11 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki