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We consider the problems of Private and Secure Matrix Multiplication (PSMM) and Fully Private Matrix Multiplication (FPMM), for which matrices privately selected by a master node are multiplied at distributed worker nodes without revealing…

信息论 · 计算机科学 2022-06-24 Jinbao Zhu , Songze Li

We study two problems of private matrix multiplication, over a distributed computing system consisting of a master node, and multiple servers that collectively store a family of public matrices using Maximum-Distance-Separable (MDS) codes.…

信息论 · 计算机科学 2023-03-01 Jinbao Zhu , Songze Li , Jie Li

We introduce a variation of coded computation that ensures data security and master's privacy against workers, which is referred to as private secure coded computation. In private secure coded computation, the master needs to compute a…

信息论 · 计算机科学 2019-02-04 Minchul Kim , Jungwoo Lee

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.…

信息论 · 计算机科学 2019-12-19 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

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

This paper presents a perfectly secure matrix multiplication (PSMM) protocol for multiparty computation (MPC) of $\mathrm{A}^{\top}\mathrm{B}$ over finite fields. The proposed scheme guarantees correctness and information-theoretic privacy…

信息论 · 计算机科学 2026-01-16 Zixuan He , Mohammad Reza Deylam Salehi , Derya Malak , Photios A. Stavrou

Tensor operations, such as matrix multiplication, are central to large-scale machine learning applications. For user-driven tasks these operations can be carried out on a distributed computing platform with a master server at the user side…

信息论 · 计算机科学 2019-01-24 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

We consider polynomial codes for private distributed matrix multiplication (PDMM/SDMM). Existing codes for PDMM are either specialized for the outer product partitioning (OPP), or inner product partitioning (IPP), or are valid for the more…

信息论 · 计算机科学 2026-01-27 Christoph Hofmeister , Razane Tajeddine , Antonia Wachter-Zeh , Rawad Bitar

A majority of coded matrix-matrix computation literature has broadly focused in two directions: matrix partitioning for computing a single computation task and batch processing of multiple distinct computation tasks. While these works…

信息论 · 计算机科学 2022-01-04 Lev Tauz , Lara Dolecek

In a distributed computing system for the master-worker framework, an erasure code can mitigate the effects of slow workers, also called stragglers. The distributed computing system combined with coding is referred to as coded computation.…

信息论 · 计算机科学 2018-12-05 Minchul Kim , Heecheol Yang , Jungwoo Lee

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

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…

信息论 · 计算机科学 2020-09-08 Zhen Chen , Zhuqing Jia , Zhiying Wang , Syed A. Jafar

We consider the problem of designing secure and private codes for distributed matrix-matrix multiplication. A master server owns two private matrices and hires worker nodes to help compute their product. The matrices should remain…

信息论 · 计算机科学 2022-02-15 Christoph Hofmeister , Rawad Bitar , Marvin Xhemrishi , Antonia Wachter-Zeh

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

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…

信息论 · 计算机科学 2023-06-27 Jingke Xu , Yaqian Zhang , Libo Wang

We consider the problem of secure distributed matrix multiplication (SDMM). Coded computation has been shown to be an effective solution in distributed matrix multiplication, both providing privacy against workers and boosting the…

信息论 · 计算机科学 2022-02-08 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

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.…

信息论 · 计算机科学 2026-01-14 Jesús Gómez-Vilardebò

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

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

In this paper, we study the problem of \emph{private and secure distributed matrix multiplication (PSDMM)}, where a user having a private matrix $A$ and $N$ non-colluding servers sharing a library of $L$ ($L>1$) matrices $B^{(0)},…

信息论 · 计算机科学 2022-02-01 Jie Li , Camilla Hollanti
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