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Motivated by emerging applications in wireless sensor networks and large-scale data processing, we consider distributed optimization over directed networks where the agents communicate their information locally to their neighbors to…

Optimization and Control · Mathematics 2021-03-22 Farzad Yousefian

The current BigData era routinely requires the processing of large scale data on massive distributed computing clusters. Such large scale clusters often suffer from the problem of "stragglers", which are defined as slow or failed nodes. The…

Information Theory · Computer Science 2020-02-11 Aditya Ramamoorthy , Anindya Bijoy Das , Li Tang

We consider distributed online min-max resource allocation with a set of parallel agents and a parameter server. Our goal is to minimize the pointwise maximum over a set of time-varying and decreasing cost functions, without a priori…

Information Theory · Computer Science 2023-07-21 Jingrong Wang , Ben Liang

Motivated by broad applications in various fields of engineering, we study a network resource allocation problem where the goal is to optimally allocate a fixed quantity of resources over a network of nodes. We consider large scale networks…

Optimization and Control · Mathematics 2018-08-06 Thinh T. Doan , Carolyn L. Beck

Today's massively-sized datasets have made it necessary to often perform computations on them in a distributed manner. In principle, a computational task is divided into subtasks which are distributed over a cluster operated by a…

Information Theory · Computer Science 2017-06-20 Wael Halbawi , Navid Azizan-Ruhi , Fariborz Salehi , Babak Hassibi

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

Systems and Control · Computer Science 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

In distributed computing systems with stragglers, various forms of redundancy can improve the average delay performance. We study the optimal replication of data in systems where the job execution time is a stochastically decreasing and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-01 Amir Behrouzi-Far , Emina Soljanin

Modern learning algorithms use gradient descent updates to train inferential models that best explain data. Scaling these approaches to massive data sizes requires proper distributed gradient descent schemes where distributed worker nodes…

Information Theory · Computer Science 2017-10-30 Songze Li , Seyed Mohammadreza Mousavi Kalan , A. Salman Avestimehr , Mahdi Soltanolkotabi

We propose a communication-efficient optimally structured gradient coding scheme to jointly address straggler resilience and communication efficiency in heterogeneous distributed learning. By establishing a unified framework that…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Heekang Song , Wan Choi

In this paper, we consider distributed optimization problems where $n$ agents, each possessing a local cost function, collaboratively minimize the average of the local cost functions over a connected network. To solve the problem, we…

Optimization and Control · Mathematics 2023-03-24 Kun Huang , Xiao Li , Andre Milzarek , Shi Pu , Junwen Qiu

The aim of this paper is to develop a general framework for training neural networks (NNs) in a distributed environment, where training data is partitioned over a set of agents that communicate with each other through a sparse, possibly…

Machine Learning · Statistics 2017-04-21 Simone Scardapane , Paolo Di Lorenzo

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

Machine Learning · Computer Science 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

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

We propose a distributed algorithm, termed the Directed-Distributed Projected Subgradient (D-DPS), to solve a constrained optimization problem over a multi-agent network, where the goal of agents is to collectively minimize the sum of…

Optimization and Control · Mathematics 2016-08-30 Chenguang Xi , Usman A. Khan

In this paper, we address the distributed optimization problem over unidirectional networks with possibly time-invariant heterogeneous bounded transmission delays. In particular, we propose a modified version of the Accelerated Distributed…

We study dual-based algorithms for distributed convex optimization problems over networks, where the objective is to minimize a sum $\sum_{i=1}^{m}f_i(z)$ of functions over in a network. We provide complexity bounds for four different…

Optimization and Control · Mathematics 2020-03-17 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

Optimization and Control · Mathematics 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

Machine Learning · Statistics 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

This work addresses the instability in asynchronous data parallel optimization. It does so by introducing a novel distributed optimizer which is able to efficiently optimize a centralized model under communication constraints. The optimizer…

Machine Learning · Statistics 2017-10-09 Joeri Hermans , Gerasimos Spanakis , Rico Möckel
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