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In this paper, we present a novel method for solving a class of quadratically constrained quadratic optimization problems using only additions and multiplications. This approach enables solving constrained optimization problems on private…

Optimization and Control · Mathematics 2025-10-21 Sebastian Schlor , Andrea Iannelli , Junsoo Kim , Hyungbo Shim , Frank Allgöwer

Distributed computing enables scalable machine learning by distributing tasks across multiple nodes, but ensuring privacy in such systems remains a challenge. This paper introduces a novel private coded distributed computing model that…

Information Theory · Computer Science 2026-01-13 Shanuja Sasi , Onur Günlü

A distributed machine learning platform needs to recruit many heterogeneous worker nodes to finish computation simultaneously. As a result, the overall performance may be degraded due to straggling workers. By introducing redundancy into…

Computer Science and Game Theory · Computer Science 2020-12-17 Ningning Ding , Zhixuan Fang , Lingjie Duan , Jianwei Huang

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

We study shared multi-processor scheduling problem where each job can be executed on its private processor and simultaneously on one of many processors shared by all jobs in order to reduce the job's completion time due to processing time…

Discrete Mathematics · Computer Science 2021-03-05 Dariusz Dereniowski , Wieslaw Kubiak

Matrix multiplication is one of the key operations in various engineering applications. Outsourcing large-scale matrix multiplication tasks to multiple distributed servers or cloud is desirable to speed up computation. However, security…

Information Theory · Computer Science 2018-06-04 Wei-Ting Chang , Ravi Tandon

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

This work considers the problem of distributing matrix multiplication over the real or complex numbers to helper servers, such that the information leakage to these servers is close to being information-theoretically secure. These servers…

Cryptography and Security · Computer Science 2022-05-17 Okko Makkonen , Camilla Hollanti

Linear computation coding is concerned with the compression of multidimensional linear functions, i.e. with reducing the computational effort of multiplying an arbitrary vector to an arbitrary, but known, constant matrix. This paper…

Information Theory · Computer Science 2025-07-02 Hans Rosenberger , Johanna S. Fröhlich , Ali Bereyhi , Ralf R. Müller

Elasticity is offered by cloud service providers to exploit under-utilized computing resources. The low-cost elastic nodes can leave and join any time during the computation cycle. The possibility of elastic events occurring together with…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-24 Shahrzad Kiani , Tharindu Adikari , Stark C. Draper

We study coded distributed matrix multiplication from an approximate recovery viewpoint. We consider a system of $P$ computation nodes where each node stores $1/m$ of each multiplicand via linear encoding. Our main result shows that the…

Information Theory · Computer Science 2021-05-06 Haewon Jeong , Ateet Devulapalli , Viveck R. Cadambe , Flavio Calmon

In this paper, we investigate the randomized algorithms for block matrix multiplication from random sampling perspective. Based on the A-optimal design criterion, the optimal sampling probabilities and sampling block sizes are obtained. To…

Numerical Analysis · Mathematics 2021-05-12 Chengmei Niu , Hanyu Li

We consider the problem of private distributed multi-party multiplication. It is well-established that Shamir secret-sharing coding strategies can enable perfect information-theoretic privacy in distributed computation via the celebrated…

Information Theory · Computer Science 2025-01-20 Viveck R. Cadambe , Ateet Devulapalli , Haewon Jeong , Flavio P. Calmon

In this paper, we present a probabilistic algorithm to multiply two sparse polynomials almost as efficiently as two dense univariate polynomials with a result of approximately the same size. The algorithm depends on unproven heuristics that…

Symbolic Computation · Computer Science 2025-08-25 Joris van der Hoeven

A major hurdle in machine learning is scalability to massive datasets. Approaches to overcome this hurdle include compression of the data matrix and distributing the computations. \textit{Leverage score sampling} provides a compressed…

Information Theory · Computer Science 2020-09-16 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2020-07-28 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

To multiply astronomic matrices using parallel workers subject to straggling, we recommend interleaving checksums with some fast matrix multiplication algorithms. Nesting the parity-checked algorithms, we weave a product code flavor…

Information Theory · Computer Science 2022-01-13 Hsin-Po Wang , Iwan Duursma

In this paper, we present a coded computation (CC) scheme for distributed computation of the inference phase of machine learning (ML) tasks, specifically, the task of image classification. Building upon Agrawal et al.~2022, the proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-12 Jiepeng Tang , Navneet Agrawal , Slawomir Stanczak , Jingge Zhu

This paper has two contributions. First, we propose a novel coded matrix multiplication technique called Generalized PolyDot codes that advances on existing methods for coded matrix multiplication under storage and communication…

Information Theory · Computer Science 2018-11-28 Sanghamitra Dutta , Ziqian Bai , Haewon Jeong , Tze Meng Low , Pulkit Grover