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Particle Swarm Optimization (PSO) is a meta-heuristic for continuous black-box optimization problems. In this paper we focus on the convergence of the particle swarm, i.e., the exploitation phase of the algorithm. We introduce a new…

最优化与控制 · 数学 2020-06-09 Bernd Bassimir , Alexander Raß , Rolf Wanka

We present a multi-agent algorithm for multi-objective optimization problems, which extends the class of consensus-based optimization methods and relies on a scalarization strategy. The optimization is achieved by a set of interacting…

最优化与控制 · 数学 2022-03-31 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

This paper proposes a unified framework for the global optimization of a continuous function in a bounded rectangular domain. Specifically, we show that: (1) under the optimal strategy for a two-armed decision model, the sample mean…

最优化与控制 · 数学 2025-11-11 Xiaohong Chen , Zengjing Chen , Wayne Yuan Gao , Xiaodong Yan , Guodong Zhang

Particle swarm optimization (PSO) method cannot be directly used in the problem of hyper-parameter estimation since the mathematical formulation of the mapping from hyper-parameters to loss function or generalization accuracy is unclear.…

机器学习 · 计算机科学 2020-12-15 Yaru Li , Yulai Zhang

This paper presents a particle-based optimization method designed for addressing minimization problems with equality constraints, particularly in cases where the loss function exhibits non-differentiability or non-convexity. The proposed…

最优化与控制 · 数学 2026-03-31 José A. Carrillo , Shi Jin , Haoyu Zhang , Yuhua Zhu

In this paper we simulate an ensemble of cooperating, mobile sensing agents that implement the cyclic stochastic optimization (CSO) algorithm in an attempt to survey and track multiple targets. In the CSO algorithm proposed, each agent uses…

机器学习 · 统计学 2021-08-04 Carsten H. Botts

We improve recently introduced consensus-based optimization method, proposed in [R. Pinnau, C. Totzeck, O. Tse and S. Martin, Math. Models Methods Appl. Sci., 27(01):183--204, 2017], which is a gradient-free optimization method for general…

最优化与控制 · 数学 2020-03-06 José A. Carrillo , Shi Jin , Lei Li , Yuhua Zhu

Bi-level optimization problems, where one wishes to find the global minimizer of an upper-level objective function over the globally optimal solution set of a lower-level objective, arise in a variety of scenarios throughout science and…

最优化与控制 · 数学 2025-05-13 Nicolás García Trillos , Sixu Li , Konstantin Riedl , Yuhua Zhu

In this paper, we study the conditional stochastic optimization (CSO) problem which covers a variety of applications including portfolio selection, reinforcement learning, robust learning, causal inference, etc. The sample-averaged gradient…

机器学习 · 计算机科学 2023-12-05 Lie He , Shiva Prasad Kasiviswanathan

We dramatically improve convergence speed and global exploration capabilities of particle swarm optimization (PSO) through a targeted position-mutated elitism (PSO-TPME). The three key innovations address particle classification, elitism,…

神经与进化计算 · 计算机科学 2022-08-22 Tamir Shaqarin , Bernd R. Noack

Swarm based optimization algorithms have demonstrated remarkable success in solving complex optimization problems. However, their widespread adoption remains sceptical due to limited transparency in how different algorithmic components…

神经与进化计算 · 计算机科学 2026-04-01 Nitin Gupta , Bapi Dutta , Anupam Yadav

Bayesian optimization (BO) is an efficient framework for optimization of black-box objectives when function evaluations are costly and gradient information is not easily accessible. BO has been successfully applied to automate the task of…

机器学习 · 计算机科学 2024-07-09 Pallavi Mitra , Felix Biessmann

We introduce Social Bayesian Optimization (SBO), a vote-efficient algorithm for consensus-building in collective decision-making. In contrast to single-agent scenarios, collective decision-making encompasses group dynamics that may distort…

多智能体系统 · 计算机科学 2025-02-12 Masaki Adachi , Siu Lun Chau , Wenjie Xu , Anurag Singh , Michael A. Osborne , Krikamol Muandet

In this paper we propose polarized consensus-based dynamics in order to make consensus-based optimization (CBO) and sampling (CBS) applicable for objective functions with several global minima or distributions with many modes, respectively.…

最优化与控制 · 数学 2023-10-10 Leon Bungert , Tim Roith , Philipp Wacker

How should we intervene on an unknown structural equation model to maximize a downstream variable of interest? This setting, also known as causal Bayesian optimization (CBO), has important applications in medicine, ecology, and…

机器学习 · 计算机科学 2023-03-13 Scott Sussex , Anastasiia Makarova , Andreas Krause

The global optimization of a high-dimensional black-box function under black-box constraints is a pervasive task in machine learning, control, and engineering. These problems are challenging since the feasible set is typically non-convex…

机器学习 · 计算机科学 2021-03-02 David Eriksson , Matthias Poloczek

A global optimization framework, acronymed COMBEO (Change OfMeasure Based Evolutionary Optimization), is proposed. An important aspect in the development is a set of derivative-free additive directional terms obtainable through a change of…

统计方法学 · 统计学 2014-11-10 Saikat Sarkar , Debasish Roy

Comparison-Based Optimization (CBO) is an optimization paradigm that assumes only very limited access to the objective function f(x). Despite the growing relevance of CBO to real-world applications, this field has received little attention…

最优化与控制 · 数学 2023-03-27 Isha Slavin , Daniel McKenzie

Nature-inspired swarm-based algorithms have been widely applied to tackle high-dimensional and complex optimization problems across many disciplines. They are general purpose optimization algorithms, easy to use and implement, flexible and…

最优化与控制 · 数学 2021-03-23 Kwok Pui Choi , Enzio Hai Hong Kam , Tze Leung Lai , Xin T. Tong , Weng Kee Wong

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

最优化与控制 · 数学 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson