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This paper considers the problem of multi-server Private Linear Computation, under the joint and individual privacy guarantees. In this problem, identical copies of a dataset comprised of $K$ messages are stored on $N$ non-colluding…

Information Theory · Computer Science 2021-08-24 Nahid Esmati , Anoosheh Heidarzadeh

In this work, we explore the problem of multi-user linearly-separable distributed computation, where $N$ servers help compute the desired functions (jobs) of $K$ users, and where each desired function can be written as a linear combination…

Information Theory · Computer Science 2022-06-27 Ali Khalesi , Petros Elia

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

In this paper, we study the problem of securely computing a function over a network, where both the target function and the security function are vector linear. The network is modeled as a directed acyclic graph. A sink node wishes to…

Information Theory · Computer Science 2026-02-10 Min Xu , Qian Chen , Gennian Ge

We propose an efficient framework for enabling secure multi-party numerical computations in a Peer-to-Peer network. This problem arises in a range of applications such as collaborative filtering, distributed computation of trust and…

Cryptography and Security · Computer Science 2010-05-04 Danny Bickson , Tzachy Reinman , Danny Dolev , Benny Pinkas

Secure aggregation is concerned with the task of securely uploading the inputs of multiple users to an aggregation server without letting the server know the inputs beyond their summation. It finds broad applications in distributed machine…

Information Theory · Computer Science 2026-01-16 Xiang Zhang , Kai Wan , Hua Sun , Shiqiang Wang , Mingyue Ji , Giuseppe Caire

We study a collaborative revenue management problem where multiple decentralized parties agree to share some of their capacities. This collaboration is performed by constructing a large mathematical programming model available to all…

Optimization and Control · Mathematics 2021-12-30 Utku Karaca , S. Ilker Birbil , Nursen Aydin , Gizem Mullaoglu

Matrix multiplication over the real field constitutes a foundational operation in the training of deep learning models, serving as a computational cornerstone for both forward and backward propagation processes. However, the presence of…

Information Theory · Computer Science 2025-08-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

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…

Information Theory · Computer Science 2022-02-08 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

The Gram matrix of a matrix $A$ is defined as $AA^T$ (or $A^T\!A$). Computing the Gram matrix is an important operation in many applications, such as linear regression with the least squares method, where the explicit solution formula…

Information Theory · Computer Science 2023-03-10 Okko Makkonen , Camilla Hollanti

Matrix completion is a fundamental problem that comes up in a variety of applications like the Netflix problem, collaborative filtering, computer vision, and crowdsourcing. The goal of the problem is to recover a k-by-n unknown matrix from…

Information Theory · Computer Science 2014-02-19 Changho Suh

With the development of sensor network, mobile computing, and web applications, data are now collected from many distributed sources to form big datasets. Such datasets can be hosted in the cloud to achieve economical processing. However,…

Cryptography and Security · Computer Science 2013-02-25 James Powers , Keke Chen

A growing framework of legal and ethical requirements limit scientific and commercial evalua-tion of personal data. Typically, pseudonymization, encryption, or methods of distributed com-puting try to protect individual privacy. However,…

Cryptography and Security · Computer Science 2018-11-21 Nikolaus von Bomhard , Bernd Ahlborn , Catherine Mason , Ulrich Mansmann

This paper considers the problem of calculating the matrix multiplication of two massive matrices $\mathbf{A}$ and $\mathbf{B}$ distributedly. We provide a modulo technique that can be applied to coded distributed matrix multiplication…

Information Theory · Computer Science 2023-09-20 Zhiquan Tan , Dingli Yuan , Zihao Wang , Zhongyi Huang

We describe scalable protocols for solving the secure multi-party computation (MPC) problem among a large number of parties. We consider both the synchronous and the asynchronous communication models. In the synchronous setting, our…

Data Structures and Algorithms · Computer Science 2015-09-29 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia , Mahdi Zamani

In secure distributed matrix multiplication (SDMM) the multiplication $\mathbf{A}\mathbf{B}$ from two private matrices $\mathbf{A}$ and $\mathbf{B}$ is outsourced by a user to $N$ distributed servers. In $\ell$-SDMM, the goal is to a design…

Information Theory · Computer Science 2020-05-05 Jaber Kakar , Anton Khristoforov , Seyedhamed Ebadifar , Aydin Sezgin

We formulate a new secure distributed computation problem, where a simulation center can require any linear combination of $ K $ users' data through a caching layer consisting of $ N $ servers. The users, servers, and data collector do not…

Information Theory · Computer Science 2023-04-19 Jiale Cheng , Nan Liu , Wei Kang

This paper considers the secure aggregation problem for federated learning under an information theoretic cryptographic formulation, where distributed training nodes (referred to as users) train models based on their own local data and a…

Information Theory · Computer Science 2023-11-14 Kai Wan , Hua Sun , Mingyue Ji , Tiebin Mi , Giuseppe Caire

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…

Information Theory · Computer Science 2023-08-09 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

In this paper, we explore how quantum resources can be used to increase the rate of private distributed matrix multiplication (PDMM). In PDMM, a user who has two high-dimensional matrices, $A$ and $B$, and lacks the computational…

Information Theory · Computer Science 2025-12-01 Mohamed Nomeir , Alptug Aytekin , Lei Hu , Sennur Ulukus