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This work considers the problem of distributing matrix multiplication over the real or complex numbers to helper servers, such that the information leakage to these servers is close to being information-theoretically secure. These servers…

密码学与安全 · 计算机科学 2022-05-17 Okko Makkonen , Camilla Hollanti

A generalization of recent group-theoretic matrix multiplication algorithms to an analogue of the theory of partial matrix multiplication is presented. We demonstrate that the added flexibility of this approach can in some cases improve…

计算复杂性 · 计算机科学 2009-02-17 Richard Strong Bowen , Bo Chen , Hendrik Orem , Martijn van Schaardenburg

Coded distributed computing framework enables large-scale machine learning (ML) models to be trained efficiently in a distributed manner, while mitigating the straggler effect. In this work, we consider a multi-task assignment problem in a…

信息论 · 计算机科学 2019-05-21 Yuxuan Sun , Junlin Zhao , Sheng Zhou , Deniz Gündüz

This work considers the problem of privately outsourcing the computation of a matrix product over a finite field $\mathbb{F}_q$ to $N$ helper servers. These servers are considered to be honest but curious, i.e., they behave according to the…

信息论 · 计算机科学 2022-01-12 Jie Li , Okko Makkonen , Camilla Hollanti , Oliver Gnilke

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…

信息论 · 计算机科学 2019-05-17 Wei-Ting Chang , Ravi Tandon

The distributed matrix multiplication problem with an unknown number of stragglers is considered, where the goal is to efficiently and flexibly obtain the product of two massive matrices by distributing the computation across N servers.…

分布式、并行与集群计算 · 计算机科学 2021-07-23 Weiqi Li , Zhen Chen , Zhiying Wang , Syed A. Jafar , Hamid Jafarkhani

Plaintext-ciphertext matrix multiplication (PC-MM) is an indispensable tool in privacy-preserving computations such as secure machine learning and encrypted signal processing. While there are many established algorithms for…

密码学与安全 · 计算机科学 2025-04-22 Krishna Sai Tarun Ramapragada , Utsav Banerjee

Coded computation is an emerging research area that leverages concepts from erasure coding to mitigate the effect of stragglers (slow nodes) in distributed computation clusters, especially for matrix computation problems. In this work, we…

信息论 · 计算机科学 2019-01-31 Aditya Ramamoorthy , Li Tang , Pascal O. Vontobel

We provide novel coded computation strategies for distributed matrix-matrix products that outperform the recent "Polynomial code" constructions in recovery threshold, i.e., the required number of successful workers. When $m$-th fraction of…

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…

信息论 · 计算机科学 2021-01-15 Rawad Bitar , Marvin Xhemrishi , Antonia Wachter-Zeh

The recent trend towards Personalized Federated Learning (PFL) has garnered significant attention as it allows for the training of models that are tailored to each client while maintaining data privacy. However, current PFL techniques…

机器学习 · 计算机科学 2023-05-03 Yue Wu , Shuaicheng Zhang , Wenchao Yu , Yanchi Liu , Quanquan Gu , Dawei Zhou , Haifeng Chen , Wei Cheng

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…

信息论 · 计算机科学 2021-08-19 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

Recent demands on data privacy have called for federated learning (FL) as a new distributed learning paradigm in massive and heterogeneous networks. Although many FL algorithms have been proposed, few of them have considered the matrix…

机器学习 · 计算机科学 2020-11-02 Shuai Wang , Tsung-Hui Chang

Computing the product of two sparse matrices (SpGEMM) is a fundamental operation in various combinatorial and graph algorithms as well as various bioinformatics and data analytics applications for computing inner-product similarities. For…

分布式、并行与集群计算 · 计算机科学 2021-11-22 Srđan Milaković , Oguz Selvitopi , Israt Nisa , Zoran Budimlić , Aydin Buluc

We present Modular Polynomial (MP) Codes for Secure Distributed Matrix Multiplication (SDMM). The construction is based on the observation that one can decode certain proper subsets of the coefficients of a polynomial with fewer evaluations…

信息论 · 计算机科学 2024-01-08 David Karpuk , Razane Tajeddine

Existing approaches to distributed matrix computations involve allocating coded combinations of submatrices to worker nodes, to build resilience to stragglers and/or enhance privacy. In this study, we consider the challenge of preserving…

信息论 · 计算机科学 2023-08-09 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

We consider the problem of evaluating arbitrary multivariate polynomials over a massive dataset containing multiple inputs, on a distributed computing system with a master node and multiple worker nodes. Generalized Lagrange Coded Computing…

信息论 · 计算机科学 2024-11-07 Jinbao Zhu , Hengxuan Tang , Songze Li , Yijia Chang

Coded computation techniques provide robustness against straggling workers in distributed computing. However, most of the existing schemes require exact provisioning of the straggling behaviour and ignore the computations carried out by…

信息论 · 计算机科学 2021-12-07 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

Coded computing is a method for mitigating straggling workers in a centralized computing network, by using erasure-coding techniques. Federated learning is a decentralized model for training data distributed across client devices. In this…

信息论 · 计算机科学 2023-09-06 Neophytos Charalambides , Mert Pilanci , Alfred Hero

Matrix multiplication (GEMM) is a core operation to numerous scientific applications. Traditional implementations of Strassen-like fast matrix multiplication (FMM) algorithms often do not perform well except for very large matrix sizes, due…

数学软件 · 计算机科学 2016-11-04 Jianyu Huang , Leslie Rice , Devin A. Matthews , Robert A. van de Geijn