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This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

最优化与控制 · 数学 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong

This paper considers deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distribution of certain probabilistic…

最优化与控制 · 数学 2012-08-20 Jerome Le Ny , George J. Pappas

In this paper, we revisit the distributed coverage control problem with multiple robots on both metric graphs and in non-convex continuous environments. Traditionally, the solutions provided for this problem converge to a locally optimal…

多智能体系统 · 计算机科学 2020-05-07 Armin Sadeghi , Ahmad Bilal Asghar , Stephen L. Smith

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

最优化与控制 · 数学 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

We propose a multistart algorithm to identify all local minima of a constrained, nonconvex stochastic optimization problem. The algorithm uniformly samples points in the domain and then starts a local stochastic optimization run from any…

最优化与控制 · 数学 2022-01-05 Prateek Jaiswal , Jeffrey Larson

We analyze combinatorial optimization problems with ordinal, i.e., non-additive, objective functions that assign categories (like good, medium and bad) rather than cost coefficients to the elements of feasible solutions. We review different…

最优化与控制 · 数学 2022-04-06 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

Min-max problems are important in multi-agent sequential decision-making because they improve the performance of the worst-performing agent in the network. However, solving the multi-agent min-max problem is challenging. We propose a…

多智能体系统 · 计算机科学 2024-05-31 Alexandros E. Tzikas , Jinkyoo Park , Mykel J. Kochenderfer , Ross E. Allen

The distributed optimization problem is set up in a collection of nodes interconnected via a communication network. The goal is to find the minimizer of a global objective function formed by the addition of partial functions locally known…

最优化与控制 · 数学 2022-06-07 Damián Marelli , Yong Xu , Minyue Fu , Zenghong Huang

Bayesian optimization (BO) is a typical approach to solve expensive optimization problems. In each iteration of BO, a Gaussian process(GP) model is trained using the previously evaluated solutions; then next candidate solutions for…

神经与进化计算 · 计算机科学 2022-06-23 Jixiang Chen , Fu Luo , Zhenkun Wang

In this work, a new multiobjective optimization algorithm called multiobjective learner performance-based behavior algorithm is proposed. The proposed algorithm is based on the process of transferring students from high school to college.…

神经与进化计算 · 计算机科学 2022-01-31 Chnoor M. Rahman , Tarik A. Rashid , Aram Mahmood Ahmed , Seyedali Mirjalili

Bilevel optimization have gained growing interests, with numerous applications found in meta learning, minimax games, reinforcement learning, and nested composition optimization. This paper studies the problem of distributed bilevel…

机器学习 · 统计学 2022-06-23 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang

The multi-agent spatial coverage control problem encompasses a broad research domain, dealing with both dynamic and static deployment strategies, discrete-task assignments, and spatial distribution-matching deployment. Coverage control may…

机器人学 · 计算机科学 2024-07-22 Solmaz Kia , Sonia Martinez

In multi-objective optimization problems, there might exist hidden objectives that are important to the decision-maker but are not being optimized. On the other hand, there might also exist irrelevant objectives that are being optimized but…

最优化与控制 · 数学 2022-06-06 Seyed Mahdi Shavarani , Manuel López-Ibáñez , Richard Allmendinger

This work views the multi-agent system and its surrounding environment as a co-evolving system, where the behavior of one affects the other. The goal is to take both agent actions and environment configurations as decision variables, and…

机器人学 · 计算机科学 2025-07-03 Zhan Gao , Guang Yang , Amanda Prorok

It is an amazing fact that remarkably complex behaviors could emerge from a large collection of very rudimentary dynamical agents through very simple local interactions. However, it still remains elusive on how to design these local…

多智能体系统 · 计算机科学 2011-01-13 Mohammad Karimadini , Hai Lin

Nonlinear embedding manifold learning methods provide invaluable visual insights into the structure of high-dimensional data. However, due to a complicated nonconvex objective function, these methods can easily get stuck in local minima and…

机器学习 · 计算机科学 2019-12-30 Max Vladymyrov

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…

最优化与控制 · 数学 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

最优化与控制 · 数学 2018-06-20 Van Sy Mai , Eyad H. Abed

Local search algorithms applied to optimization problems often suffer from getting trapped in a local optimum. The common solution for this deficiency is to restart the algorithm when no progress is observed. Alternatively, one can start…

机器学习 · 计算机科学 2014-01-17 András György , Levente Kocsis

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…

最优化与控制 · 数学 2022-03-03 Jianzheng Wang , Guoqiang Hu