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For minimizing a strongly convex objective function subject to linear inequality constraints, we consider a penalty approach that allows one to utilize stochastic methods for problems with a large number of constraints and/or objective…

最优化与控制 · 数学 2022-02-16 Meng Li , Paul Grigas , Alper Atamturk

This paper aims to address distributed optimization problems over directed and time-varying networks, where the global objective function consists of a sum of locally accessible convex objective functions subject to a feasible set…

最优化与控制 · 数学 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

We propose a novel algorithm for solving non-convex, nonlinear equality-constrained finite-sum optimization problems. The proposed algorithm incorporates an additional sampling strategy for sample size update into the well-known framework…

最优化与控制 · 数学 2025-08-05 Nataša Krejić , Nataša Krklec Jerinkić , Tijana Ostojić , Nemanja Vučićević

We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

最优化与控制 · 数学 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

最优化与控制 · 数学 2024-06-21 Sajad Zandi , Mehdi Korki

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

最优化与控制 · 数学 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

This paper proposes a distributed algorithm for a network of agents to solve an optimization problem with separable objective function and locally coupled constraints. Our strategy is based on reformulating the original constrained problem…

最优化与控制 · 数学 2021-03-12 Priyank Srivastava , Jorge Cortes

This paper addresses a class of constrained optimization problems over networks in which local cost functions and constraints can be nonconvex. We propose an asynchronous distributed optimization algorithm, relying on the centralized Method…

最优化与控制 · 数学 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

One of the most important problems in the field of distributed optimization is the problem of minimizing a sum of local convex objective functions over a networked system. Most of the existing work in this area focus on developing…

最优化与控制 · 数学 2019-01-08 Fatemeh Mansoori , Ermin Wei

The motivation for this paper stems from the desire to develop an adaptive sampling method for solving constrained optimization problems in which the objective function is stochastic and the constraints are deterministic. The method…

最优化与控制 · 数学 2021-01-01 Yuchen Xie , Raghu Bollapragada , Richard Byrd , Jorge Nocedal

We investigate the distributed online economic dispatch problem for power systems with time-varying coupled inequality constraints. The problem is formulated as a distributed online optimization problem in a multi-agent system. At each time…

最优化与控制 · 数学 2025-12-25 Yingjie Zhou , Xiaoqian Wang , Tao Li

We study distributed convex constrained optimization on a time-varying multi-agent network. Each agent has access to its own local cost function, its local constraints, and its instant number of out-neighbors. The collective goal is to…

信号处理 · 电气工程与系统科学 2019-05-28 Tatiana Tatarenko , Jan Zimmermann , Volker Willert andJürgen Adamy

We consider the minimization of a sum of a smooth function with a nonsmooth composite function, where the composition is applied on a random linear mapping. This random composite model encompasses many problems, and can especially capture…

最优化与控制 · 数学 2024-12-02 Dan Greenstein , Nadav Hallak

This paper proposes a new family of algorithms for the online optimisation of composite objectives. The algorithms can be interpreted as the combination of the exponentiated gradient and $p$-norm algorithm. Combined with algorithmic ideas…

最优化与控制 · 数学 2022-08-09 Weijia Shao , Fikret Sivrikaya , Sahin Albayrak

This paper considers the distributed bandit convex optimization problem with time-varying constraints. In this problem, the global loss function is the average of all the local convex loss functions, which are unknown beforehand. Each agent…

系统与控制 · 电气工程与系统科学 2025-04-25 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Lihua Xie , Tianyou Chai , Tao Yang

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality…

最优化与控制 · 数学 2022-06-03 Wicak Ananduta , Angelia Nedić , Carlos Ocampo-Martinez

In this work, we introduce a novel strategy for tackling constrained optimization problems through a modified penalty method. Conventional penalty methods convert constrained problems into unconstrained ones by incorporating constraints…

最优化与控制 · 数学 2024-09-05 Shilin Ma , Yukun Yue

We address a decentralized convex optimization problem, where every agent has its unique local objective function and constraint set. Agents compute at different speeds, and their communication may be delayed and directed. For this setup,…

最优化与控制 · 数学 2024-01-09 Firooz Shahriari-Mehr , Ashkan Panahi

We propose a distributed solution for a constrained convex optimization problem over a network of clustered agents each consisted of a set of subagents. The communication range of the clustered agents is such that they can form a connected…

多智能体系统 · 计算机科学 2021-04-06 Hossein Moradian , Solmaz S. Kia

We study distributed composite optimization over networks: agents minimize the sum of a smooth (strongly) convex function, the agents' sum-utility, plus a non-smooth (extended-valued) convex one. We propose a general algorithmic framework…

最优化与控制 · 数学 2019-10-23 Jinming Xu , Ying Sun , Ye Tian , Gesualdo Scutari