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    Secure coded multi-party computation for massive matrix operations

    , Article IEEE Transactions on Information Theory ; Volume 67, Issue 4 , 2021 , Pages 2379-2398 ; 00189448 (ISSN) Akbari Nodehi, H ; Maddah Ali, M. A ; Sharif University of Technology
    Institute of Electrical and Electronics Engineers Inc  2021
    Abstract
    In this article, 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 not reliable. Some of them may collude to gain information about the input data (semi-honest workers). The system is initialized by sharing a (randomized) function of each input matrix to each server. Since the input matrices are massive, each share's size is assumed to be at most 1/k fraction of the input matrix, for some k ∈ N. The objective is to minimize the number of workers needed to perform the computation task correctly, such that even if an... 

    Secure coded multi-party computation for massive matrix operations

    , Article IEEE Transactions on Information Theory ; Volume 67, Issue 4 , 2021 , Pages 2379-2398 ; 00189448 (ISSN) Akbari Nodehi, H ; Maddah Ali, M.A ; Sharif University of Technology
    Institute of Electrical and Electronics Engineers Inc  2021
    Abstract
    In this article, 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 not reliable. Some of them may collude to gain information about the input data (semi-honest workers). The system is initialized by sharing a (randomized) function of each input matrix to each server. Since the input matrices are massive, each share's size is assumed to be at most 1/k fraction of the input matrix, for some k ∈ N. The objective is to minimize the number of workers needed to perform the computation task correctly, such that even if an... 

    A scalable framework for wireless distributed computing

    , Article IEEE/ACM Transactions on Networking ; Volume 25, Issue 5 , 2017 , Pages 2643-2654 ; 10636692 (ISSN) Li, S ; Yu, Q ; Maddah Ali, M. A ; Avestimehr, A. S ; Sharif University of Technology
    Abstract
    We consider a wireless distributed computing system, in which multiple mobile users, connected wirelessly through an access point, collaborate to perform a computation task. In particular, users communicate with each other via the access point to exchange their locally computed intermediate computation results, which is known as data shuffling. We propose a scalable framework for this system, in which the required communication bandwidth for data shuffling does not increase with the number of users in the network. The key idea is to utilize a particular repetitive pattern of placing the data set (thus a particular repetitive pattern of intermediate computations), in order to provide the... 

    All optical divergence and gradient operators using surface plasmon polaritons

    , Article Optics Express ; Volume 30, Issue 11 , 2022 , Pages 17806-17823 ; 10944087 (ISSN) Mohammadi, H ; Akbari, M ; Khavasi, A ; Sharif University of Technology
    Optica Publishing Group (formerly OSA)  2022
    Abstract
    In this paper, we propose a plasmonic structure based on Kretschmann configuration capable of performing various computational tasks, i.e. two dimensional isotropic differentiation, gradient and divergence computation. By means of two polarizers, a non-trivial topological charge can be generated in the transfer function of the structure thereby implementing a two dimensional differentiator. By using only one polarizer, on the other hand, the structure is able to compute either the gradient of the field distribution of a polarized light beam or the divergence of the field of an unpolarized light beam. The performance of the proposed structure in two dimensional differentiation has been...