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In this paper, we present secure distributed matrix multiplication (SDMM) schemes over the complex numbers with good numerical stability and small mutual information leakage by utilizing polynomial interpolation with roots of unity.…

Information Theory · Computer Science 2025-08-26 Okko Makkonen , Camilla Hollanti

We consider the problem of secure distributed matrix computation (SDMC), where a \textit{user} queries a function of data matrices generated at distributed \textit{source} nodes. We assume the availability of $N$ honest but curious…

Information Theory · Computer Science 2021-11-16 Nitish Mital , Cong Ling , Deniz Gunduz

We consider the problem of secure distributed matrix multiplication (SDMM), where a user has two matrices and wishes to compute their product with the help of $N$ honest but curious servers under the security constraint that any information…

Information Theory · Computer Science 2023-05-16 Roberto A. Machado , Gretchen L. Matthews , Welington Santos

We consider the problem of secure distributed matrix multiplication (SDMM) in which a user wishes to compute the product of two matrices with the assistance of honest but curious servers. We construct polynomial codes for SDMM by studying a…

Information Theory · Computer Science 2020-02-13 Rafael G. L. D'Oliveira , Salim El Rouayheb , David Karpuk

In this paper, we study the problem of secure and private distributed matrix multiplication. Specifically, we focus on a scenario where a user wants to compute the product of a confidential matrix $A$, with a matrix $B_\theta$, where…

Information Theory · Computer Science 2019-06-26 Wei-Ting Chang , Ravi Tandon

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

We consider the problem of secure distributed matrix multiplication in which a user wishes to compute the product of two matrices with the assistance of honest but curious servers. In this paper, we answer the following question: Is it…

Information Theory · Computer Science 2020-05-12 Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein , David Karpuk

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

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…

Information Theory · Computer Science 2022-01-12 Jie Li , Okko Makkonen , Camilla Hollanti , Oliver Gnilke

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

In this study, we propose a two-party computation protocol for approximate matrix multiplication of fixed-point numbers. The proposed protocol is provably secure under standard lattice-based cryptographic assumptions and enables matrix…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Kaoru Teranishi

In distributed matrix multiplication, a common scenario is to assign each worker a fraction of the multiplication task, by partitioning the input matrices into smaller submatrices. In particular, by dividing two input matrices into…

Information Theory · Computer Science 2020-04-14 Qian Yu , A. Salman Avestimehr

In the Internet of Things and smart environments data, collected from distributed sensors, is typically stored and processed by a central middleware. This allows applications to query the data they need for providing further services.…

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

In secure multi-party computations (SMC), parties wish to compute a function on their private data without revealing more information about their data than what the function reveals. In this paper, we investigate two Shannon-type questions…

Information Theory · Computer Science 2017-05-25 Eun Jee Lee , Emmanuel Abbe

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

Large matrix multiplications are central to large-scale machine learning applications. These operations are often carried out on a distributed computing platform with a master server and multiple workers in the cloud operating in parallel.…

Information Theory · Computer Science 2019-12-19 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

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

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

To preserve data privacy, multi-party computation (MPC) enables executing Machine Learning (ML) algorithms on private data. However, MPC frameworks do not include optimized operations on sparse data. This absence makes them unsuitable for…

Cryptography and Security · Computer Science 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon