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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…

Information Theory · Computer Science 2024-01-08 David Karpuk , Razane Tajeddine

In recent years, secure multiparty computation (SMC) advanced from a theoretical technique to a practically applicable technology. Several frameworks were proposed of which some are still actively developed. We perform a first comprehensive…

Cryptography and Security · Computer Science 2019-01-10 Marcel von Maltitz , Georg Carle

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

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

Today, we are in the era of big data, and data are becoming more and more important, especially private data. Secure Multi-party Computation (SMPC) technology enables parties to perform computing tasks without revealing original data.…

Cryptography and Security · Computer Science 2023-03-02 Yuanqing Feng , Tao Bai , Songfeng Lu , Xueming Tang , Junjun Wu

We consider the problem of communication efficient secure distributed matrix multiplication. The previous literature has focused on reducing the number of servers as a proxy for minimizing communication costs. The intuition being, that the…

Information Theory · Computer Science 2022-06-10 Roberto Assis Machado , Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein

In this paper, we present a novel variation of the coded matrix multiplication problem which we refer to as fully private grouped matrix multiplication (FPGMM). In FPGMM, a master wants to compute a group of matrix products between two…

Information Theory · Computer Science 2023-05-16 Lev Tauz , Lara Dolecek

The Random Batch Method (RBM) is an effective technique to reduce the computational complexity when solving certain stochastic differential problems (SDEs) involving interacting particles. It can transform the computational complexity from…

Numerical Analysis · Mathematics 2024-12-23 Yanshun Zhao , Jingrun Chen , Zhiwen Zhang

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…

Cryptography and Security · Computer Science 2023-11-16 Kenneth Goss

The concept of Secure Multi-Party Computation (SMPC) is a cryptographic service that allows generating analysis of sensitive data related to finance under the collaboration of all stakeholders without violating the privacy of the research…

Cryptography and Security · Computer Science 2026-01-05 Brahim Khalil Sedraoui , Abdelmadjid Benmachiche , Amina Makhlouf , Chaouki Chemam

In this paper, we explore how quantum resources can be used to increase the rate of private distributed matrix multiplication (PDMM). In PDMM, a user who has two high-dimensional matrices, $A$ and $B$, and lacks the computational…

Information Theory · Computer Science 2025-12-01 Mohamed Nomeir , Alptug Aytekin , Lei Hu , Sennur Ulukus

Matrix decomposition is one of the fundamental tools to discover knowledge from big data generated by modern applications. However, it is still inefficient or infeasible to process very big data using such a method in a single machine.…

Machine Learning · Computer Science 2020-02-11 Chihao Zhang , Yang Yang , Wei Zhang , Shihua Zhang

The introduction of the new multi-user linearly-separable distributed computing framework, has recently revealed how a parallel treatment of users can yield large parallelization gains with relatively low computation and communication…

Information Theory · Computer Science 2026-04-22 Amir Masoud Jafarpisheh , Ali Khalesi , Petros Elia

We revisit the fundamental Boolean Matrix Multiplication (BMM) problem. With the invention of algebraic fast matrix multiplication over 50 years ago, it also became known that BMM can be solved in truly subcubic $O(n^\omega)$ time, where…

Data Structures and Algorithms · Computer Science 2024-05-28 Amir Abboud , Nick Fischer , Zander Kelley , Shachar Lovett , Raghu Meka

Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

Hardware Architecture · Computer Science 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

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

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…

Information Theory · Computer Science 2018-05-17 Sanghamitra Dutta , Mohammad Fahim , Farzin Haddadpour , Haewon Jeong , Viveck Cadambe , Pulkit Grover

Nowadays, as data becomes increasingly complex and distributed, data analyses often involve several related datasets that are stored on different servers and probably owned by different stakeholders. While there is an emerging need to…

Cryptography and Security · Computer Science 2020-07-31 Jiazhi Xia , Tianxiang Chen , Lei Zhang , Wei Chen , Yang Chen , Xiaolong Zhang , Cong Xie , Tobias Schreck

Matrix multiplication (hereafter we use the acronym MM) is among the most fundamental operations of modern computations. The efficiency of its performance depends on various factors, in particular vectorization, data movement and arithmetic…

Data Structures and Algorithms · Computer Science 2015-02-09 Victor Y. Pan

Secure two-party scalar product (S2SP) is a promising research area within secure multiparty computation (SMC), which can solve a range of SMC problems, such as intrusion detection, data analysis, and geometric computations. However,…

Quantum Physics · Physics 2024-05-14 Wen-Jie Liu , Zi-Xian Li