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Computationally intensive distributed and parallel computing is often bottlenecked by a small set of slow workers known as stragglers. In this paper, we utilize the emerging idea of "coded computation" to design a novel…

信息论 · 计算机科学 2017-06-06 Yaoqing Yang , Pulkit Grover , Soummya Kar

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

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

信息论 · 计算机科学 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

We present a highly scalable algorithm for multiplying sparse multivariate polynomials represented in a distributed format. This algo- rithm targets not only the shared memory multicore computers, but also computers clusters or specialized…

符号计算 · 计算机科学 2013-04-01 Mickael Gastineau , Jacques Laskar

A major hurdle in machine learning is scalability to massive datasets. One approach to overcoming this is to distribute the computational tasks among several workers. \textit{Gradient coding} has been recently proposed in distributed…

信息论 · 计算机科学 2020-09-16 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

分布式、并行与集群计算 · 计算机科学 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

As one of the most important basic operations, matrix multiplication computation (MMC) has varieties of applications in the scientific and engineering community such as linear regression, k-nearest neighbor classification and biometric…

密码学与安全 · 计算机科学 2021-05-13 Chun Liu , Xuexian Hu , Xiaofeng Chen , Jianghong Wei , Wenfen Liu

We study the numerical stability of polynomial based encoding methods, which has emerged to be a powerful class of techniques for providing straggler and fault tolerance in the area of coded computing. Our contributions are as follows: 1)…

信息论 · 计算机科学 2019-05-23 Mohammad Fahim , Viveck R. Cadambe

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…

信息论 · 计算机科学 2022-12-21 Neophytos Charalambides , Mert Pilanci , Alfred Hero

Cooperative control is crucial for the effective operation of dynamical multi-agent systems. Especially for distributed control schemes, it is essential to exchange data between the agents. This becomes a privacy threat if the data is…

系统与控制 · 电气工程与系统科学 2024-12-19 Philipp Binfet , Janis Adamek , Nils Schlüter , Moritz Schulze Darup

Matrix multiplication over the real field constitutes a foundational operation in the training of deep learning models, serving as a computational cornerstone for both forward and backward propagation processes. However, the presence of…

信息论 · 计算机科学 2025-08-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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…

信息论 · 计算机科学 2024-08-06 Jiang Li , Songsong Li , Chaoping Xing

A novel fault-tolerant computation technique based on array Belief Propagation (BP)-decodable XOR (BP-XOR) codes is proposed for distributed matrix-matrix multiplication. The proposed scheme is shown to be configurable and suited for modern…

信息论 · 计算机科学 2021-12-13 Suayb S. Arslan

Nonnegative matrix factorization (NMF) has been successfully applied in several data mining tasks. Recently, there is an increasing interest in the acceleration of NMF, due to its high cost on large matrices. On the other hand, the privacy…

机器学习 · 计算机科学 2020-09-08 Yuqiu Qian , Conghui Tan , Danhao Ding , Hui Li , Nikos Mamoulis

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 growing size of modern datasets necessitates splitting a large scale computation into smaller computations and operate in a distributed manner. Adversaries in a distributed system deliberately send erroneous data in order to affect the…

分布式、并行与集群计算 · 计算机科学 2021-03-05 Chien-Sheng Yang , A. Salman Avestimehr

In this paper, we propose CodedSketch, as a distributed straggler-resistant scheme to compute an approximation of the multiplication of two massive matrices. The objective is to reduce the recovery threshold, defined as the total number of…

信息论 · 计算机科学 2021-02-15 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

We consider the problem of private distributed multi-party multiplication. It is well-established that Shamir secret-sharing coding strategies can enable perfect information-theoretic privacy in distributed computation via the celebrated…

信息论 · 计算机科学 2025-01-20 Viveck R. Cadambe , Ateet Devulapalli , Haewon Jeong , Flavio P. Calmon

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

Secure multi-party computation provides a wide array of protocols for mutually distrustful parties be able to securely evaluate functions of private inputs. Within recent years, many such protocols have been proposed representing a plethora…

密码学与安全 · 计算机科学 2023-11-16 Kenneth Goss