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Related papers: Rateless Codes for Private Distributed Matrix-Matr…

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We consider the problem of designing codes with flexible rate (referred to as rateless codes), for private distributed matrix-matrix multiplication. A master server owns two private matrices $\mathbf{A}$ and $\mathbf{B}$ and hires worker…

Information Theory · Computer Science 2021-01-15 Rawad Bitar , Marvin Xhemrishi , Antonia Wachter-Zeh

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…

Information Theory · Computer Science 2022-02-15 Christoph Hofmeister , Rawad Bitar , Marvin Xhemrishi , Antonia Wachter-Zeh

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.…

Information Theory · Computer Science 2018-12-05 Minchul Kim , Heecheol Yang , Jungwoo Lee

We consider the problem of designing a coding scheme that allows both sparsity and privacy for distributed matrix-vector multiplication. Perfect information-theoretic privacy requires encoding the input sparse matrices into matrices…

Information Theory · Computer Science 2022-03-04 Marvin Xhemrishi , Rawad Bitar , Antonia Wachter-Zeh

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…

Information Theory · Computer Science 2022-06-24 Jinbao Zhu , Songze 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…

Information Theory · Computer Science 2019-02-04 Minchul Kim , 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…

Information Theory · Computer Science 2021-07-14 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

We consider the setting of a master server who possesses confidential data (genomic, medical data, etc.) and wants to run intensive computations on it, as part of a machine learning algorithm for example. The master wants to distribute…

Information Theory · Computer Science 2026-01-01 Rawad Bitar , Parimal Parag , Salim El Rouayheb

We consider a large-scale matrix multiplication problem where the computation is carried out using a distributed system with a master node and multiple worker nodes, where each worker can store parts of the input matrices. We propose a…

Information Theory · Computer Science 2018-01-25 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

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

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…

Information Theory · Computer Science 2019-01-24 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

Matrix multiplication is a fundamental building block for large scale computations arising in various applications, including machine learning. There has been significant recent interest in using coding to speed up distributed matrix…

Information Theory · Computer Science 2019-05-17 Wei-Ting Chang , Ravi Tandon

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.…

Information Theory · Computer Science 2023-03-01 Jinbao Zhu , Songze Li , Jie Li

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 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

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)},…

Information Theory · Computer Science 2022-02-01 Jie Li , Camilla Hollanti

Distributed computing enables large-scale computation tasks to be processed over multiple workers in parallel. However, the randomness of communication and computation delays across workers causes the straggler effect, which may degrade the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-20 Yuxuan Sun , Fan Zhang , Junlin Zhao , Sheng Zhou , Zhisheng Niu , Deniz Gündüz

Coded distributed computing framework enables large-scale machine learning (ML) models to be trained efficiently in a distributed manner, while mitigating the straggler effect. In this work, we consider a multi-task assignment problem in a…

Information Theory · Computer Science 2019-05-21 Yuxuan Sun , Junlin Zhao , Sheng Zhou , Deniz Gündüz

This paper considers the problem of outsourcing the multiplication of two private and sparse matrices to untrusted workers. Secret sharing schemes can be used to tolerate stragglers and guarantee information-theoretic privacy of the…

Information Theory · Computer Science 2023-06-28 Maximilian Egger , Marvin Xhemrishi , Antonia Wachter-Zeh , Rawad Bitar

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
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