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We consider the problem of evaluating distinct multivariate polynomials over several massive datasets in a distributed computing system with a single master node and multiple worker nodes. We focus on the general case when each multivariate…

Information Theory · Computer Science 2023-08-23 Wilton Kim , Stanislav Kruglik , Han Mao Kiah

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 construct optimal secure coded distributed schemes that extend the known optimal constructions over fields of characteristic 0 to all fields. A serendipitous result is that we can encode \emph{all} functions over finite fields with a…

Information Theory · Computer Science 2025-04-28 Pedro Soto

Many probabilistic inference tasks involve summations over exponentially large sets. Recently, it has been shown that these problems can be reduced to solving a polynomial number of MAP inference queries for a model augmented with randomly…

Artificial Intelligence · Computer Science 2013-09-27 Stefano Ermon , Carla P. Gomes , Ashish Sabharwal , Bart Selman

Most multi-agent reinforcement learning (MARL) methods are limited in the scale of problems they can handle. With increasing numbers of agents, the number of training iterations required to find the optimal behaviors increases exponentially…

Multiagent Systems · Computer Science 2025-01-03 Baoqian Wang , Junfei Xie , Nikolay Atanasov

Solving (mixed) integer linear programs, (M)ILPs for short, is a fundamental optimization task. While hard in general, recent years have brought about vast progress for solving structurally restricted, (non-mixed) ILPs: $n$-fold, tree-fold,…

Data Structures and Algorithms · Computer Science 2019-12-10 Cornelius Brand , Martin Koutecký , Sebastian Ordyniak

The primal-dual distributed optimization methods have broad large-scale machine learning applications. Previous primal-dual distributed methods are not applicable when the dual formulation is not available, e.g. the sum-of-non-convex…

Machine Learning · Computer Science 2017-10-30 Zhouyuan Huo , Heng Huang

This paper considers the problem of outsourcing the multiplication of two private and sparse matrices to untrusted workers. Secret sharing schemes can be used to tolerate stragglers and guarantee information-theoretic privacy of the…

Information Theory · Computer Science 2023-06-28 Maximilian Egger , Marvin Xhemrishi , Antonia Wachter-Zeh , Rawad Bitar

Unlike theoretical distributed learning (DL), DL over wireless edge networks faces the inherent dynamics/uncertainty of wireless connections and edge nodes, making DL less efficient or even inapplicable under the highly dynamic wireless…

Networking and Internet Architecture · Computer Science 2021-03-10 Nguyen Van Huynh , Dinh Thai Hoang , Diep N. Nguyen , Eryk Dutkiewicz

Reducing communication - either between levels of a memory hierarchy or between processors over a network - is a key component of performance optimization (in both time and energy) for many problems, including dense linear algebra, particle…

Data Structures and Algorithms · Computer Science 2020-03-03 Grace Dinh , James Demmel

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

Lagrangian duality in mixed integer optimization is a useful framework for problems decomposition and for producing tight lower bounds to the optimal objective, but in contrast to the convex counterpart, it is generally unable to produce…

Optimization and Control · Mathematics 2014-11-10 Robin Vujanic , Peyman Mohajerin Esfahani , Paul Goulart , Sebastien Mariethoz , Manfred Morari

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

This paper develops coding techniques to reduce the running time of distributed learning tasks. It characterizes the fundamental tradeoff to compute gradients (and more generally vector summations) in terms of three parameters: computation…

Machine Learning · Statistics 2018-02-13 Min Ye , Emmanuel Abbe

Linear regression is a fundamental and primitive problem in supervised machine learning, with applications ranging from epidemiology to finance. In this work, we propose methods for speeding up distributed linear regression. We do so by…

Information Theory · Computer Science 2024-04-02 Neophytos Charalambides , Hessam Mahdavifar , Mert Pilanci , Alfred O. Hero

Owing to data-intensive large-scale applications, distributed computation systems have gained significant recent interest, due to their ability of running such tasks over a large number of commodity nodes in a time efficient manner. One of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-23 Mohamed A. Attia , Ravi Tandon

Distributed optimization is vital in solving large-scale machine learning problems. A widely-shared feature of distributed optimization techniques is the requirement that all nodes complete their assigned tasks in each computational epoch…

Machine Learning · Computer Science 2020-06-11 Nuwan Ferdinand , Haider Al-Lawati , Stark C. Draper , Matthew Nokleby

Large-scale distributed learning aims at minimizing a loss function $L$ that depends on a training dataset with respect to a $d$-length parameter vector. The distributed cluster typically consists of a parameter server (PS) and multiple…

Information Theory · Computer Science 2026-03-25 Sifat Munim , Aditya Ramamoorthy

In large-scale distributed computing clusters, such as Amazon EC2, there are several types of "system noise" that can result in major degradation of performance: bottlenecks due to limited communication bandwidth, latency due to straggler…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-21 Amirhossein Reisizadeh , Saurav Prakash , Ramtin Pedarsani , Amir Salman Avestimehr

Multiplication is a fundamental operation in many applications, and multipliers are widely adopted in various circuits. However, optimizing multipliers is challenging due to the extensive design space. In this paper, we propose a multiplier…

Hardware Architecture · Computer Science 2024-12-30 Dongsheng Zuo , Jiadong Zhu , Yikang Ouyang , Yuzhe Ma