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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 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

Polynomial based approaches, such as the Mat-Dot and entangled polynomial codes (EPC) have been used extensively within coded matrix computations to obtain schemes with good recovery thresholds. However, these schemes are well-recognized to…

信息论 · 计算机科学 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

In this paper, we propose CodedSketch, as a distributed straggler-resistant scheme to compute an approximation of the multiplication of two massive matrices. The objective is to reduce the recovery threshold, defined as the total number of…

信息论 · 计算机科学 2021-02-15 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

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. We show how to construct polynomial schemes for the outer…

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

Codes are widely used in many engineering applications to offer robustness against noise. In large-scale systems there are several types of noise that can affect the performance of distributed machine learning algorithms -- straggler nodes,…

分布式、并行与集群计算 · 计算机科学 2018-01-30 Kangwook Lee , Maximilian Lam , Ramtin Pedarsani , Dimitris Papailiopoulos , Kannan Ramchandran

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

In a large-scale and distributed matrix multiplication problem $C=A^{\intercal}B$, where $C\in\mathbb{R}^{r\times t}$, the coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may…

分布式、并行与集群计算 · 计算机科学 2018-04-19 Sinong Wang , Jiashang Liu , Ness Shroff

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.…

分布式、并行与集群计算 · 计算机科学 2021-07-23 Weiqi Li , Zhen Chen , Zhiying Wang , Syed A. Jafar , Hamid Jafarkhani

In this work, we consider the problem of secure multi-party computation (MPC), consisting of $\Gamma$ sources, each has access to a large private matrix, $N$ processing nodes or workers, and one data collector or master. The master is…

信息论 · 计算机科学 2020-04-13 Seyed Reza Hoseini Najarkolaei , Mohammad Ali Maddah-Ali , Mohammad Reza Aref

Large-scale machine learning and data mining methods routinely distribute computations across multiple agents to parallelize processing. The time required for computation at the agents is affected by the availability of local resources…

信息论 · 计算机科学 2021-03-22 Busra Tegin , Eduin E. Hernandez , Stefano Rini , Tolga M. Duman

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…

分布式、并行与集群计算 · 计算机科学 2022-07-20 Yuxuan Sun , Fan Zhang , Junlin Zhao , Sheng Zhou , Zhisheng Niu , Deniz Gündüz

Computationally efficient matrix multiplication is a fundamental requirement in various fields, including and particularly in data analytics. To do so, the computation task of a large-scale matrix multiplication is typically outsourced to…

信息论 · 计算机科学 2018-11-01 Jaber Kakar , Seyedhamed Ebadifar , Aydin Sezgin

The problem of straggler mitigation in distributed matrix multiplication (DMM) is considered for a large number of worker nodes and a fixed small finite field. Polynomial codes and matdot codes are generalized by making use of algebraic…

信息论 · 计算机科学 2024-01-25 Adrián Fidalgo-Díaz , Umberto Martínez-Peñas

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…

信息论 · 计算机科学 2019-05-21 Yuxuan Sun , Junlin Zhao , Sheng Zhou , Deniz Gündüz

We consider the problem of designing rateless coded private distributed matrix-matrix multiplication. A master server owns two private matrices $\mathbf{A}$ and $\mathbf{B}$ and wants to hire worker nodes to help compute the multiplication.…

信息论 · 计算机科学 2020-04-28 Rawad Bitar , Marvin Xhemrishi , Antonia Wachter-Zeh

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

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…

信息论 · 计算机科学 2023-06-28 Maximilian Egger , Marvin Xhemrishi , Antonia Wachter-Zeh , Rawad Bitar

Distributed computation is a framework used to break down a complex computational task into smaller tasks and distributing them among computational nodes. Erasure correction codes have recently been introduced and have become a popular…

信息论 · 计算机科学 2021-08-17 Royee Yosibash , Ram Zamir