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We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

Information Theory · Computer Science 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

In this paper, we study distributed prime-dual flows for multi-agent optimization with spatio-temporal compressions. The central aim of multi-agent optimization is for a network of agents to collaboratively solve a system-level optimization…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Zihao Ren , Lei Wang , Deming Yuan , Hongye Su , Guodong Shi

In this paper, we present a new control model for optimizing pressure and water quality operations in water distribution networks. Our formulation imposes a set of time-coupling constraints to manage temporal pressure variations, which are…

Optimization and Control · Mathematics 2024-09-24 Bradley Jenks , Aly-Joy Ulusoy , Filippo Pecci , Ivan Stoianov

This work studies nonconvex distributed constrained optimization over stochastic communication networks. We revisit the distributed dual averaging algorithm, which is known to converge for convex problems. We start from the centralized…

Optimization and Control · Mathematics 2022-11-15 Changxin Liu , Xuyang Wu , Xinlei Yi , Yang Shi , Karl H. Johansson

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) so they collectively meet the electric power demanded by a collection of loads, while minimizing the total…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Madi Zholbaryssov , Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia

In this paper, we investigate the online non-convex optimization problem which generalizes the classic {online convex optimization problem by relaxing the convexity assumption on the cost function. For this type of problem, the classic…

Machine Learning · Computer Science 2017-09-14 Lin Yang , Cheng Tan , Wing Shing Wong

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

Optimization and Control · Mathematics 2020-02-03 Sophie M. Fosson

This paper considers distributed resource allocation and sum-preserving constrained optimization over lossy networks, where the links are unreliable and subject to packet drops. We define the conditions to ensure convergence under packet…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Mohammadreza Doostmohammadian , Usman A. Khan , Alireza Aghasi , Themistoklis Charalambous

Some of the most compelling applications of online convex optimization, including online prediction and classification, are unconstrained: the natural feasible set is R^n. Existing algorithms fail to achieve sub-linear regret in this…

Machine Learning · Computer Science 2012-11-13 Matthew Streeter , H. Brendan McMahan

We develop a reduction-based framework for online learning with delayed feedback that recovers and improves upon existing results for both first-order and bandit convex optimization. Our approach introduces a continuous-time model under…

Machine Learning · Computer Science 2026-02-04 Alexander Ryabchenko , Idan Attias , Daniel M. Roy

The goal of this paper is to investigate distributed temporal difference (TD) learning for a networked multi-agent Markov decision process. The proposed approach is based on distributed optimization algorithms, which can be interpreted as…

Machine Learning · Computer Science 2025-05-14 Han-Dong Lim , Donghwan Lee

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

We consider distributed optimization as motivated by machine learning in a multi-agent system: each agent holds local data and the goal is to minimize an aggregate loss function over a common model, via an interplay of local training and…

Optimization and Control · Mathematics 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris

We consider a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

Optimization and Control · Mathematics 2012-10-10 Minghui Zhu , Sonia Martinez

We study distributed convex optimization with two ubiquitous forms of coupling: consensus constraints and global affine equalities. We first design a linearized method of multipliers for the consensus optimization problem. Without…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

We consider cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific possibly…

Optimization and Control · Mathematics 2017-06-27 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

Optimization and Control · Mathematics 2014-03-18 Angelia Nedic , Alex Olshevsky

We consider the general problem of online convex optimization with time-varying additive constraints in the presence of predictions for the next cost and constraint functions. A novel primal-dual algorithm is designed by combining a…

Machine Learning · Computer Science 2022-01-11 Daron Anderson , George Iosifidis , Douglas J. Leith

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