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Private computation in a distributed storage system (DSS) is a generalization of the private information retrieval (PIR) problem. In such setting a user wishes to compute a function of $f$ messages stored in $n$ noncolluding coded…

Information Theory · Computer Science 2021-08-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

Private computation is a generalization of private information retrieval, in which a user is able to compute a function on a distributed dataset without revealing the identity of that function to the servers. In this paper it is shown that…

Information Theory · Computer Science 2019-06-27 Netanel Raviv , David A. Karpuk

The problem of $X$-secure $T$-colluding symmetric Private Polynomial Computation (PPC) from coded storage system with $B$ Byzantine and $U$ unresponsive servers is studied in this paper. Specifically, a dataset consisting of $M$ files is…

Information Theory · Computer Science 2021-11-09 Jinbao Zhu , Qifa Yan , Xiaohu Tang , Songze Li

We consider the problem of private linear computation (PLC) in a distributed storage system. In PLC, a user wishes to compute a linear combination of $f$ messages stored in noncolluding databases while revealing no information about the…

Information Theory · Computer Science 2021-06-29 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

Private Computation (PC), recently introduced by Sun and Jafar, is a generalization of Private Information Retrieval (PIR) in which a user wishes to privately compute an arbitrary function of data stored across several servers. We construct…

Information Theory · Computer Science 2018-01-16 David Karpuk

In this letter, we delve into a scenario where a user aims to compute polynomial functions using their own data as well as data obtained from distributed sources. To accomplish this, the user enlists the assistance of $N$ distributed…

Cryptography and Security · Computer Science 2023-09-19 Zhiquan Tan , Dingli Yuan , Zhongyi Huang

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

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

Information Theory · Computer Science 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

We consider the problem of evaluating arbitrary multivariate polynomials over a massive dataset containing multiple inputs, on a distributed computing system with a master node and multiple worker nodes. Generalized Lagrange Coded Computing…

Information Theory · Computer Science 2024-11-07 Jinbao Zhu , Hengxuan Tang , Songze Li , Yijia Chang

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

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…

Information Theory · Computer Science 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

In this work, we consider private monomial computation (PMC) for replicated noncolluding databases. In PMC, a user wishes to privately retrieve an arbitrary multivariate monomial from a candidate set of monomials in $f$ messages over a…

Information Theory · Computer Science 2020-01-20 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes

We investigate the problem of privacy preserving distributed matrix multiplication in edge networks using multi-party computation (MPC). Coded multi-party computation (CMPC) is an emerging approach to reduce the required number of workers…

Information Theory · Computer Science 2022-03-16 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

We consider the problem of private computation (PC) in a distributed storage system. In such a setting a user wishes to compute a function of $f$ messages replicated across $n$ noncolluding databases, while revealing no information about…

Information Theory · Computer Science 2023-07-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

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…

Information Theory · Computer Science 2023-05-16 Lev Tauz , Lara Dolecek

Multi-party computation (MPC) is promising for designing privacy-preserving machine learning algorithms at edge networks. An emerging approach is coded-MPC (CMPC), which advocates the use of coded computation to improve the performance of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

A distributed computing scenario is considered, where the computational power of a set of worker nodes is used to perform a certain computation task over a dataset that is dispersed among the workers. Lagrange coded computing (LCC),…

Information Theory · Computer Science 2021-02-02 Mahdi Soleymani , Hessam Mahdavifar , A. Salman Avestimehr

In Private Information Retrieval (PIR), one wants to download a file from a database without revealing to the database which file is being downloaded. Much attention has been paid to the case of the database being encoded across several…

Information Theory · Computer Science 2017-06-23 Razane Tajeddine , Oliver W. Gnilke , David Karpuk , Ragnar Freij-Hollanti , Camilla Hollanti , Salim El Rouayheb

Supporting multiple partial computations efficiently at each of the workers is a keystone in distributed coded computing in order to speed up computations and to fully exploit the resources of heterogeneous workers in terms of…

Information Theory · Computer Science 2024-11-25 Jesús Gómez-Vilardebó , Burak Hasırcıoğlu , Deniz Gündüz

Lagrange coded computation (LCC) is essential to solving problems about matrix polynomials in a coded distributed fashion; nevertheless, it can only solve the problems that are representable as matrix polynomials. In this paper, we propose…

Information Theory · Computer Science 2022-05-23 Navneet Agrawal , Yuqin Qiu , Matthias Frey , Igor Bjelakovic , Setareh Maghsudi , Slawomir Stanczak , Jingge Zhu
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