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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

This paper deals with distributed matrix multiplication. Each player owns only one row of both matrices and wishes to learn about one distinct row of the product matrix, without revealing its input to the other players. We first improve on…

Cryptography and Security · Computer Science 2016-07-14 Jean-Guillaume Dumas , Pascal Lafourcade , Jean-Baptiste Orfila , Maxime Puys

In secure distributed matrix multiplication (SDMM) the multiplication $\mathbf{A}\mathbf{B}$ from two private matrices $\mathbf{A}$ and $\mathbf{B}$ is outsourced by a user to $N$ distributed servers. In $\ell$-SDMM, the goal is to a design…

Information Theory · Computer Science 2020-05-05 Jaber Kakar , Anton Khristoforov , Seyedhamed Ebadifar , Aydin Sezgin

Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged…

Cryptography and Security · Computer Science 2025-06-18 Alexander Bienstock , Ujjwal Kumar , Antigoni Polychroniadou

We introduce two generalizations to the paradigm of using Random Khatri-Rao Product (RKRP) codes for distributed matrix multiplication. We first introduce a class of codes called Sparse Random Khatri-Rao Product (SRKRP) codes which have…

Information Theory · Computer Science 2022-05-13 Ruowan Ji , Anoosheh Heidarzadeh , Krishna R. Narayanan

In this paper, we introduce a novel first-order dual gradient algorithm for solving network utility maximization problems that arise in resource allocation schemes over networks with safety-critical constraints. Inspired by applications…

Optimization and Control · Mathematics 2022-08-10 Berkay Turan , Mahnoosh Alizadeh

In nonadaptive combinatorial group testing (CGT), it is desirable to identify a small set of up to $d$ defectives from a large population of $n$ items with as few tests (i.e. large rate) and efficient identifying algorithm as possible. In…

Combinatorics · Mathematics 2020-10-08 Jinping Fan , Hung-Lin Fu , Yujie Gu , Ying Miao , Maiko Shigeno

We construct optimal secure coded distributed schemes that extend the known optimal constructions over fields of characteristic 0 to all fields. A serendipitous result is that we can encode \emph{all} functions over finite fields with a…

Information Theory · Computer Science 2025-04-28 Pedro Soto

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

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.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-23 Weiqi Li , Zhen Chen , Zhiying Wang , Syed A. Jafar , Hamid Jafarkhani

Matrix multiplication is one of the key operations in various engineering applications. Outsourcing large-scale matrix multiplication tasks to multiple distributed servers or cloud is desirable to speed up computation. However, security…

Information Theory · Computer Science 2018-06-04 Wei-Ting Chang , Ravi Tandon

This paper considers the problem of calculating the matrix multiplication of two massive matrices $\mathbf{A}$ and $\mathbf{B}$ distributedly. We provide a modulo technique that can be applied to coded distributed matrix multiplication…

Information Theory · Computer Science 2023-09-20 Zhiquan Tan , Dingli Yuan , Zihao Wang , Zhongyi Huang

We propose dpmm, an open-source library for synthetic data generation with Differentially Private (DP) guarantees. It includes three popular marginal models -- PrivBayes, MST, and AIM -- that achieve superior utility and offer richer…

Cryptography and Security · Computer Science 2025-06-03 Sofiane Mahiou , Amir Dizche , Reza Nazari , Xinmin Wu , Ralph Abbey , Jorge Silva , Georgi Ganev

We consider a problem, which we call secure grouping, of dividing a number of parties into some subsets (groups) in the following manner: Each party has to know the other members of his/her group, while he/she may not know anything about…

Cryptography and Security · Computer Science 2018-10-17 Yuji Hashimoto , Kazumasa Shinagawa , Koji Nuida , Masaki Inamura , Goichiro Hanaoka

In this paper, a novel modulation scheme called set partition modulation (SPM) is proposed. In this scheme, set partitioning and ordered subsets in the set partitions are used to form codewords. We define different SPM variants and depict a…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Ferhat Yarkin , Justin P. Coon

This paper addresses the gradient coding and coded matrix multiplication problems in distributed optimization and coded computing. We present a numerically stable binary coding method which overcomes the drawbacks of the \textit{Fractional…

Information Theory · Computer Science 2025-01-14 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero

Since their introduction in 2004, Polynomial Modular Number Systems (PMNS) have become a very interesting tool for implementing cryptosystems relying on modular arithmetic in a secure and efficient way. However, while their implementation…

Data Structures and Algorithms · Computer Science 2024-06-07 Jean Claude Bajard , Jérémy Marrez , Thomas Plantard , Pascal Véron

We study the problem of computing matrix chain multiplications in a distributed computing cluster. In such systems, performance is often limited by the straggler problem, where the slowest worker dominates the overall computation latency.…

Information Theory · Computer Science 2026-01-14 Jesús Gómez-Vilardebò

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

The primal-dual method of multipliers (PDMM) was originally designed for solving a decomposable optimisation problem over a general network. In this paper, we revisit PDMM for optimisation over a centralized network. We first note that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-21 Guoqiang Zhang , Kenta Niwa , W. Bastiaan Kleijn