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We study the trade-off between communication rate and privacy for distributed batch matrix multiplication of two independent sequences of matrices $\mathbf{A}$ and $\mathbf{B}$ with uniformly distributed entries. In our setting,…

Information Theory · Computer Science 2025-09-19 Amirhosein Morteza , Remi A. Chou

We consider the problem of private distributed matrix multiplication under limited resources. Coded computation has been shown to be an effective solution in distributed matrix multiplication, both providing privacy against the workers and…

Information Theory · Computer Science 2021-07-14 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

We consider the problem of designing a coding scheme that allows both sparsity and privacy for distributed matrix-vector multiplication. Perfect information-theoretic privacy requires encoding the input sparse matrices into matrices…

Information Theory · Computer Science 2022-03-04 Marvin Xhemrishi , Rawad Bitar , Antonia Wachter-Zeh

Distributed machine learning has been widely studied in order to handle exploding amount of data. In this paper, we study an important yet less visited distributed learning problem where features are inherently distributed or vertically…

Machine Learning · Computer Science 2019-07-19 Yaochen Hu , Peng Liu , Linglong Kong , Di Niu

In this paper, we propose a new secure distributed matrix multiplication (SDMM) scheme using the inner product partitioning. We construct a scheme with a minimal number of workers and no redundancy, and another scheme with redundancy…

Information Theory · Computer Science 2024-04-29 Okko Makkonen

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…

Cryptography and Security · Computer Science 2021-05-13 Chun Liu , Xuexian Hu , Xiaofeng Chen , Jianghong Wei , Wenfen Liu

We introduce the problem of Private Linear Transformation (PLT). This problem includes a single (or multiple) remote server(s) storing (identical copies of) $K$ messages and a user who wants to compute $L$ linear combinations of a…

Information Theory · Computer Science 2021-02-07 Nahid Esmati , Anoosheh Heidarzadeh , Alex Sprintson

Performing computations while maintaining privacy is an important problem in todays distributed machine learning solutions. Consider the following two set ups between a client and a server, where in setup i) the client has a public data…

Machine Learning · Computer Science 2022-01-27 Praneeth Vepakomma , Julia Balla , Ramesh Raskar

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

In this work, a distributed server system composed of multiple servers that holds some coded files and multiple users that are interested in retrieving the linear functions of the files is investigated, where the servers are robust, blind…

Information Theory · Computer Science 2024-07-25 Qifa Yan , Xiaohu Tang , Zhengchun Zhou

In this paper, we consider a secure multi-party computation problem (MPC), where the goal is to offload the computation of an arbitrary polynomial function of some massive private matrices (inputs) to a cluster of workers. The workers are…

Information Theory · Computer Science 2020-09-16 Hanzaleh Akbari Nodehi , Mohammad Ali Maddah-Ali

In a large-scale distributed machine learning system, coded computing has attracted wide-spread attention since it can effectively alleviate the impact of stragglers. However, several emerging problems greatly limit the performance of coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-10 Houming Qiu , Kun Zhu , Nguyen Cong Luong , Dusit Niyato

This paper focuses on the Private Linear Transformation (PLT) problem in the multi-server scenario. In this problem, there are $N$ servers, each of which stores an identical copy of a database consisting of $K$ independent messages, and…

Information Theory · Computer Science 2021-08-24 Fatemeh Kazemi , Alex Sprintson

In recent years, edge computing (EC) has attracted great attention for its high-speed computing and low-latency characteristics. However, there are many challenges in the implementation of EC. Firstly, user's privacy has been raised as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-20 Jiqing Chang , Jin Wang , Kejie Lu , Lingzhi Li , Fei Gu , Jianping Wang

In this paper, due to the important value in practical applications, we consider the coded distributed matrix multiplication problem of computing $AA^\top$ in a distributed computing system with $N$ worker nodes and a master node, where the…

Information Theory · Computer Science 2023-06-27 Jingke Xu , Yaqian Zhang , Libo Wang

The problem of Multi-user Blind $X$-secure $T$-colluding Symmetric Private Information Retrieval from Maximum Distance Separable (MDS) coded storage system with $B$ Byzantine and $U$ unresponsive servers (U-B-MDS-MB-XTSPIR) is studied in…

Information Theory · Computer Science 2021-11-02 Jinbao Zhu , Qifa Yan , Xiaohu Tang

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

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

In this study, we propose a simple method for fault-tolerant Strassen-like matrix multiplications. The proposed method is based on using two distinct Strassen-like algorithms instead of replicating a given one. We have realized that using…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Osman B. Guney , Suayb S. Arslan

Sharing and working on sensitive data in distributed settings from healthcare to finance is a major challenge due to security and privacy concerns. Secure multiparty computation (SMC) is a viable panacea for this, allowing distributed…

Cryptography and Security · Computer Science 2017-07-07 Abbas Acar , Z. Berkay Celik , Hidayet Aksu , A. Selcuk Uluagac , Patrick McDaniel