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We consider the problem of decentralized optimization where a collection of agents, each having access to a local cost function, communicate over a time-varying directed network and aim to minimize the sum of those functions. In practice,…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

We resolve the min-max complexity of distributed stochastic convex optimization (up to a log factor) in the intermittent communication setting, where $M$ machines work in parallel over the course of $R$ rounds of communication to optimize…

Machine Learning · Computer Science 2021-08-06 Blake Woodworth , Brian Bullins , Ohad Shamir , Nathan Srebro

Simulated annealing (SA) method has had significant recent success in designing distributed control algorithms for wireless networks. These SA based techniques formed the basis of new CSMA algorithms and gave rise to the development of…

Optimization and Control · Mathematics 2018-09-11 Jaewook Kwak , Ness B. Shroff

Sensor scheduling is a well studied problem in signal processing and control with numerous applications. Despite its successful history, most of the related literature assumes the knowledge of the underlying probabilistic model of the…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Marcos M. Vasconcelos , Urbashi Mitra

This work considers the decentralized successive convex approximation (SCA) method for minimizing stochastic non-convex objectives subject to convex constraints, along with possibly non-smooth convex regularizers. Although SCA has been…

Optimization and Control · Mathematics 2024-05-29 Basil M. Idrees , Shivangi Dubey Sharma , Ketan Rajawat

We study non-smooth stochastic decentralized optimization problems over time-varying networks, where objective functions are distributed across nodes and network connections may intermittently appear or break. Specifically, we consider two…

Optimization and Control · Mathematics 2026-04-28 Maxim Divilkovskiy , Alexander Gasnikov

We study non-convex distributed optimization problems where a set of agents collaboratively solve a separable optimization problem that is distributed over a time-varying network. The existing methods to solve these problems rely on (at…

Optimization and Control · Mathematics 2022-04-26 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

We study a Q learning algorithm for continuous time stochastic control problems. The proposed algorithm uses the sampled state process by discretizing the state and control action spaces under piece-wise constant control processes. We show…

Optimization and Control · Mathematics 2023-03-10 Erhan Bayraktar , Ali Devran Kara

Decentralized optimization methods often entail information exchange between neighbors. Transmission failures can happen due to network congestion, hardware/software issues, communication outage, and other factors. In this paper, we…

Machine Learning · Computer Science 2024-01-05 Wenjing Yan , Xuanyu Cao

The stochastic subgradient method is a widely-used algorithm for solving large-scale optimization problems arising in machine learning. Often these problems are neither smooth nor convex. Recently, Davis et al. [1-2] characterized the…

Optimization and Control · Mathematics 2021-02-25 Shixiang Chen , Alfredo Garcia , Shahin Shahrampour

We study the unconstrained and the minimax saddle point variants of the convex multi-stage stochastic programming problem, where consecutive decisions are coupled through the objective functions, rather than through the constraints. We…

Optimization and Control · Mathematics 2026-03-02 Junhui Zhang , Patrick Jaillet

In this work, we address the delay optimal scheduling problem for wireless transmission with fixed modulation over multi-state fading channels. We propose a stochastic scheduling policy which schedules the source to transmit with…

Information Theory · Computer Science 2015-09-18 Juan Liu , Wei Chen , Khaled B. Letaief

The distributed subgradient method (DSG) is a widely discussed algorithm to cope with large-scale distributed optimization problems in the arising machine learning applications. Most exisiting works on DSG focus on ideal communication…

Signal Processing · Electrical Eng. & Systems 2022-08-24 Zhaoyue Xia , Jun Du , Yong Ren

This paper investigates the robust optimal control of sampled-data stochastic systems with multiplicative noise and distributional ambiguity. We consider a class of discrete-time optimal control problems where the controller \emph{jointly}…

Optimization and Control · Mathematics 2026-02-05 Chung-Han Hsieh

In this paper, we propose a communication- and computation-efficient algorithm to solve a convex consensus optimization problem defined over a decentralized network. A remarkable existing algorithm to solve this problem is the alternating…

Optimization and Control · Mathematics 2020-04-09 Weiyu Li , Yaohua Liu , Zhi Tian , Qing Ling

Designing decentralized policies for wireless communication networks is a crucial problem, which has only been partially solved in the literature so far. In this paper, we propose the Decentralized Markov Decision Process (Dec-MDP)…

Information Theory · Computer Science 2017-01-10 Alessandro Biason , Subhrakanti Dey , Michele Zorzi

This work presents joint iterative power allocation and interference suppression algorithms for spread spectrum networks which employ multiple hops and the amplify-and-forward cooperation strategy for both the uplink and the downlink. We…

Information Theory · Computer Science 2013-01-03 Rodrigo C. de Lamare

In this paper, we consider a queue-aware distributive resource control algorithm for two-hop MIMO cooperative systems. We shall illustrate that relay buffering is an effective way to reduce the intrinsic half-duplex penalty in cooperative…

Machine Learning · Computer Science 2015-05-20 Rui Wang , Vincent K. N. Lau , Ying Cui

This paper studies delayed stochastic algorithms for weakly convex optimization in a distributed network with workers connected to a master node. Recently, Xu et al. 2022 showed that an inertial stochastic subgradient method converges at a…

Optimization and Control · Mathematics 2023-11-02 Wenzhi Gao , Qi Deng

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (minimize…

Optimization and Control · Mathematics 2015-07-08 Mahmoud El Chamie , Behcet Acikmese
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