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We explore the problem of approximate matrix multiplication (AMM) within the sliding window model, where algorithms utilize limited space to perform large-scale matrix multiplication in a streaming manner. This model has garnered increasing…

Data Structures and Algorithms · Computer Science 2025-02-27 Ziqi Yao , Mingsong Chen , Cheng Chen

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

Coded Distributed Matrix Multiplication (CDMM) is a distributed matrix multiplication (DMM) for large-scale matrices through a coding scheme such that any $R$ worker node among all $N$ worker nodes can recover the final product, where $N$…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-03 Yi Kuang , Jiang Li , Songsong Li , Chaoping Xing

One of the most common, but at the same time expensive operations in linear algebra, is multiplying two matrices $A$ and $B$. With the rapid development of machine learning and increases in data volume, performing fast matrix intensive…

Information Theory · Computer Science 2020-11-20 Neophytos Charalambides , Mert Pilanci , Alfred Hero

Distributed matrix computations over large clusters can suffer from the problem of slow or failed worker nodes (called stragglers) which can dominate the overall job execution time. Coded computation utilizes concepts from erasure coding to…

Information Theory · Computer Science 2021-09-27 Anindya Bijoy Das , Aditya Ramamoorthy

A new class of folded subspace codes for noncoherent network coding is presented. The codes can correct insertions and deletions beyond the unique decoding radius for any code rate $R\in[0,1]$. An efficient interpolation-based decoding…

Information Theory · Computer Science 2015-04-22 Hannes Bartz , Vladimir Sidorenko

Multi-party computation (MPC) is promising for designing privacy-preserving machine learning algorithms at edge networks. An emerging approach is coded-MPC (CMPC), which advocates the use of coded computation to improve the performance of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

Edge computing has recently emerged as a promising paradigm to boost the performance of distributed learning by leveraging the distributed resources at edge nodes. Architecturally, the introduction of edge nodes adds an additional…

Networking and Internet Architecture · Computer Science 2024-06-18 Weiheng Tang , Jingyi Li , Lin Chen , Xu Chen

This paper has two contributions. First, we propose a novel coded matrix multiplication technique called Generalized PolyDot codes that advances on existing methods for coded matrix multiplication under storage and communication…

Information Theory · Computer Science 2018-11-28 Sanghamitra Dutta , Ziqian Bai , Haewon Jeong , Tze Meng Low , Pulkit Grover

We propose two coded schemes for the distributed computing problem of multiplying a matrix by a set of vectors. The first scheme is based on partitioning the matrix into submatrices and applying maximum distance separable (MDS) codes to…

Information Theory · Computer Science 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

In this paper, we study the problem of \emph{private and secure distributed matrix multiplication (PSDMM)}, where a user having a private matrix $A$ and $N$ non-colluding servers sharing a library of $L$ ($L>1$) matrices $B^{(0)},…

Information Theory · Computer Science 2022-02-01 Jie Li , Camilla Hollanti

Modern distributed computation infrastructures are often plagued by unavailabilities such as failing or slow servers. These unavailabilities adversely affect the tail latency of computation in distributed infrastructures. The simple…

Information Theory · Computer Science 2020-02-07 Michael Rudow , K. V. Rashmi , Venkatesan Guruswami

Distributed computing is known as an emerging and efficient technique to support various intelligent services, such as large-scale machine learning. However, privacy leakage and random delays from straggling servers pose significant…

Information Theory · Computer Science 2023-10-31 Qicheng Zeng , Zhaojun Nan , Sheng Zhou

In cloud computing systems slow processing nodes, often referred to as "stragglers", can significantly extend the computation time. Recent results have shown that error correction coding can be used to reduce the effect of stragglers. In…

Information Theory · Computer Science 2018-06-28 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

Big data, including applications with high security requirements, are often collected and stored on multiple heterogeneous devices, such as mobile devices, drones and vehicles. Due to the limitations of communication costs and security…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Hao Chen , Yu Ye , Ming Xiao , Mikael Skoglund , H. Vincent Poor

Multi-party computation (MPC) is promising for designing privacy-preserving machine learning algorithms at edge networks. An emerging approach is coded-MPC (CMPC), which advocates the use of coded computation to improve the performance of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-16 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

We consider the problem of coded computing, where a computational task is performed in a distributed fashion in the presence of adversarial workers. We propose techniques to break the adversarial toleration threshold barrier previously…

Information Theory · Computer Science 2021-08-23 Mahdi Soleymani , Ramy E. Ali , Hessam Mahdavifar , A. Salman Avestimehr

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

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…

Information Theory · Computer Science 2021-12-13 Suayb S. Arslan

Coded distributed matrix multiplication (CDMM) schemes, such as MatDot codes, seek efficient ways to distribute matrix multiplication task(s) to a set of $N$ distributed servers so that the answers returned from any $R$ servers are…

Information Theory · Computer Science 2021-05-18 Junge Wang , Zhuqing Jia , Syed A. Jafar
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