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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

Due to privacy concerns, multi-party gradient tree boosting algorithms have become widely popular amongst machine learning researchers and practitioners. However, limited existing works have focused on vertically partitioned datasets, and…

Cryptography and Security · Computer Science 2022-02-08 Kennedy Edemacu , Beakcheol Jang , Jong Wook Kim

We consider the problem of distributedly computing a general class of functions, referred to as gradient-type computation, while maintaining the privacy of the input dataset. Gradient-type computation evaluates the sum of some `partial…

Information Theory · Computer Science 2019-05-01 Qian Yu , A. Salman Avestimehr

Based on an idea in [4] we propose a new iterative multiplicative filtering algorithm for label assignment matrices which can be used for the supervised partitioning of data. Starting with a row-normalized matrix containing the averaged…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Jan Henrik Fitschen , Johannes Persch , Gabriele Steidl

With the surge of the powerful quantum computer, lattice-based cryptography proliferated the latest cryptography hardware implementation due to its resistance against quantum computers. Among the computational blocks of lattice-based…

Cryptography and Security · Computer Science 2022-08-31 Antian Wang , Weihang Tan , Keshab K. Parhi , Yingjie Lao

Matrix Factorization (MF) has been widely applied in machine learning and data mining. A large number of algorithms have been studied to factorize matrices. Among them, stochastic gradient descent (SGD) is a commonly used method.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Yuanhang Yu , Dong Wen , Ying Zhang , Xiaoyang Wang , Wenjie Zhang , Xuemin Lin

Polynomial multiplication is known to have quasi-linear complexity in both the dense and the sparse cases. Yet no truly linear algorithm has been given in any case for the problem, and it is not clear whether it is even possible. This…

Symbolic Computation · Computer Science 2021-01-07 Pascal Giorgi , Bruno Grenet , Armelle Perret du Cray

The problem of distributed matrix multiplication with straggler tolerance over finite fields is considered, focusing on field sizes for which previous solutions were not applicable (for instance, the field of two elements). We employ…

Information Theory · Computer Science 2024-12-02 Adrián Fidalgo-Díaz , Umberto Martínez-Peñas

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

Systems and Control · Computer Science 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

This paper formulates a distributed computation problem, where a master asks $N$ distributed workers to compute a linearly separable function. The task function can be expressed as $K_c$ linear combinations of $K$ messages, where each…

Information Theory · Computer Science 2021-10-26 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

We show that polynomial codes (and some related codes) used for distributed matrix multiplication are interleaved Reed-Solomon codes and, hence, can be collaboratively decoded. We consider a fault tolerant setup where $t$ worker nodes…

Information Theory · Computer Science 2019-06-03 Adarsh M. Subramaniam , Anoosheh Heiderzadeh , Krishna R. Narayanan

Deep neural networks have strong capabilities of memorizing the underlying training data, which can be a serious privacy concern. An effective solution to this problem is to train models with differential privacy, which provides rigorous…

Machine Learning · Computer Science 2024-07-04 Ergute Bao , Yizheng Zhu , Xiaokui Xiao , Yin Yang , Beng Chin Ooi , Benjamin Hong Meng Tan , Khin Mi Mi Aung

Distributed, scalable, and safe control of large-scale multi-agent systems is a challenging problem. In this paper, we design a distributed framework for safe multi-agent control in large-scale environments with obstacles, where a large…

Robotics · Computer Science 2025-02-10 Songyuan Zhang , Oswin So , Kunal Garg , Chuchu Fan

Sharing and working on sensitive data in distributed settings from healthcare to finance is a major challenge due to security and privacy concerns. Secure multiparty computation (SMC) is a viable panacea for this, allowing distributed…

Cryptography and Security · Computer Science 2017-07-07 Abbas Acar , Z. Berkay Celik , Hidayet Aksu , A. Selcuk Uluagac , Patrick McDaniel

We extend the existing skew polynomial representations of matrix algebras which are direct sum of matrix spaces over division rings. In this representation, the sum-rank distance between two tuples of matrices is captured by a weight…

Information Theory · Computer Science 2025-12-10 Alessandro Neri , Paolo Santonastaso

Training large neural networks with meaningful/usable differential privacy security guarantees is a demanding challenge. In this paper, we tackle this problem by revisiting the two key operations in Differentially Private Stochastic…

Machine Learning · Computer Science 2022-10-11 Hanshen Xiao , Jun Wan , Srinivas Devadas

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

In recent years, many large directed networks such as online social networks are collected with the help of powerful data engineering and data storage techniques. Analyses of such networks attract significant attention from both the…

Social and Information Networks · Computer Science 2025-08-01 Yunxiang Yan , Meng Jiang

Sparse computations frequently appear in scientific simulations and the performance of these simulations rely heavily on the optimization of the sparse codes. The compact data structures and irregular computation patterns in sparse matrix…

Programming Languages · Computer Science 2021-12-10 Zachary Cetinic , Kazem Cheshmi , Maryam Mehri Dehnavi

We consider the problem of massive matrix multiplication, which underlies many data analytic applications, in a large-scale distributed system comprising a group of worker nodes. We target the stragglers' delay performance bottleneck, which…

Information Theory · Computer Science 2020-04-10 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr