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相关论文: Secure Private and Adaptive Matrix Multiplication …

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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…

信息论 · 计算机科学 2023-05-16 Roberto A. Machado , Gretchen L. Matthews , Welington Santos

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.…

信息论 · 计算机科学 2025-08-26 Okko Makkonen , Camilla Hollanti

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…

信息论 · 计算机科学 2020-09-16 Hanzaleh Akbari Nodehi , Mohammad Ali Maddah-Ali

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…

信息论 · 计算机科学 2023-05-16 Lev Tauz , Lara Dolecek

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…

信息论 · 计算机科学 2024-04-29 Okko Makkonen

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…

信息论 · 计算机科学 2022-06-06 Roberto Assis Machado , Felice Manganiello

Matrix multiplication over the real field constitutes a foundational operation in the training of deep learning models, serving as a computational cornerstone for both forward and backward propagation processes. However, the presence of…

信息论 · 计算机科学 2025-08-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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…

密码学与安全 · 计算机科学 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

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…

信息论 · 计算机科学 2021-06-21 Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein , David Karpuk

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…

信息论 · 计算机科学 2021-11-16 Nitish Mital , Cong Ling , Deniz Gunduz

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…

密码学与安全 · 计算机科学 2016-07-14 Jean-Guillaume Dumas , Pascal Lafourcade , Jean-Baptiste Orfila , Maxime Puys

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…

信息论 · 计算机科学 2020-02-13 Rafael G. L. D'Oliveira , Salim El Rouayheb , David Karpuk

This work investigates the design of sparse secret sharing schemes that encode a sparse private matrix into sparse shares. This investigation is motivated by distributed computing, where the multiplication of sparse and private matrices is…

密码学与安全 · 计算机科学 2023-08-15 Rawad Bitar , Maximilian Egger , Antonia Wachter-Zeh , Marvin Xhemrishi

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…

密码学与安全 · 计算机科学 2021-05-13 Chun Liu , Xuexian Hu , Xiaofeng Chen , Jianghong Wei , Wenfen Liu

With the emergence of cloud computing services, computationally weak devices (Clients) can delegate expensive tasks to more powerful entities (Servers). This raises the question of verifying a result at a lower cost than that of recomputing…

密码学与安全 · 计算机科学 2017-04-11 Jean-Guillaume Dumas , Vincent Zucca

Existing approaches to distributed matrix computations involve allocating coded combinations of submatrices to worker nodes, to build resilience to stragglers and/or enhance privacy. In this study, we consider the challenge of preserving…

信息论 · 计算机科学 2023-08-09 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

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…

信息论 · 计算机科学 2026-03-12 Haoyang Hu , Viveck R. Cadambe

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…

信息论 · 计算机科学 2020-05-12 Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein , David Karpuk

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…

信息论 · 计算机科学 2020-04-14 Qian Yu , A. Salman Avestimehr

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…

信息论 · 计算机科学 2021-07-14 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz