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In this paper, we address a class of distributed optimization problems in the presence of inter-agent communication delays based on passivity. We first focus on unconstrained distributed optimization and provide a passivity-based…

Systems and Control · Computer Science 2016-09-16 Takeshi Hatanaka , Nikhil Chopra , Takayuki Ishizaki , Na Li

Large-scale data analysis is growing at an exponential rate as data proliferates in our societies. This abundance of data has the advantage of allowing the decision-maker to implement complex models in scenarios that were prohibitive…

Optimization and Control · Mathematics 2022-01-11 Marco Repetto , Davide La Torre , Muhammad Tariq

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

Data Structures and Algorithms · Computer Science 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

We describe a dynamic programming algorithm for computing the marginal distribution of discrete probabilistic programs. This algorithm takes a functional interpreter for an arbitrary probabilistic programming language and turns it into an…

Artificial Intelligence · Computer Science 2012-09-12 Andreas Stuhlmüller , Noah D. Goodman

This paper presents a comprehensive exploration of semi-definite programming (SDP) techniques within the context of quantum information. It examines the mathematical foundations of convex optimization, duality, and SDP formulations,…

Quantum Physics · Physics 2024-04-18 Piotr Mironowicz

In distributed optimization, the practical problem-solving performance is essentially sensitive to algorithm selection, parameter setting, problem type and data pattern. Thus, it is often laborious to acquire a highly efficient method for a…

Optimization and Control · Mathematics 2024-01-04 Daokuan Zhu , Tianqi Xu , Jie Lu

A random search algorithm intended to solve discrete optimization problems is considered. We outline the main components of the algorithm, and then describe it in more detail. We show how the algorithm can be implemented on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-13 Nikolai K. Krivulin , Dennis Guster , Charles Hall

This paper develops a unified distributed method for solving two classes of constrained networked optimization problems, i.e., optimal consensus problem and resource allocation problem with non-identical set constraints. We first transform…

Optimization and Control · Mathematics 2023-07-17 Yi Huang , Ziyang Meng , Jian Sun , Wei Ren

Distributed learning is the problem of inferring a function in the case where training data is distributed among multiple geographically separated sources. Particularly, the focus is on designing learning strategies with low computational…

Machine Learning · Statistics 2016-07-22 Simone Scardapane

The main goal of this paper is to investigate continuous-time distributed dynamic programming (DP) algorithms for networked multi-agent Markov decision problems (MAMDPs). In our study, we adopt a distributed multi-agent framework where…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Donghwan Lee , Han-Dong Lim , Do Wan Kim

Most algorithms for solving optimization problems or finding saddle points of convex-concave functions are fixed-point algorithms. In this work we consider the generic problem of finding a fixed point of an average of operators, or an…

Machine Learning · Computer Science 2020-06-17 Grigory Malinovsky , Dmitry Kovalev , Elnur Gasanov , Laurent Condat , Peter Richtárik

This paper investigates the distributed power allocation problem for coordinated multipoint (CoMP) transmissions in distributed antenna systems (DAS). Traditional duality based optimization techniques cannot be directly applied to this…

Information Theory · Computer Science 2013-04-26 Xiujun Zhang , Yin Sun , Xiang Chen , Shidong Zhou , Jing Wang , Ness B. Shroff

We propose two distributed iterative algorithms that can be used to solve, in finite time, the distributed optimization problem over quadratic local cost functions in large-scale networks. The first algorithm exhibits synchronous operation…

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

We propose a regularized saddle-point algorithm for convex networked optimization problems with resource allocation constraints. Standard distributed gradient methods suffer from slow convergence and require excessive communication when…

Systems and Control · Computer Science 2012-08-16 Andrea Simonetto , Tamas Keviczky , Mikael Johansson

In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

Optimization and Control · Mathematics 2022-03-03 Jianzheng Wang , Guoqiang Hu

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computing frameworks for deep neural networks, our focus is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-25 Kailai Xu , Weiqiang Zhu , Eric Darve

Due to the big size of data and limited data storage volume of a single computer or a single server, data are often stored in a distributed manner. Thus, performing large-scale machine learning operations with the distributed datasets…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Myung Cho , Lifeng Lai , Weiyu Xu

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

Artificial intelligence has made remarkable progress in handling complex tasks, thanks to advances in hardware acceleration and machine learning algorithms. However, to acquire more accurate outcomes and solve more complex issues,…

Machine Learning · Computer Science 2023-09-12 Mohammad Dehghani , Zahra Yazdanparast