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Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

Optimization and Control · Mathematics 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam

We consider derivative-free black-box global optimization of expensive noisy functions, when most of the randomness in the objective is produced by a few influential scalar random inputs. We present a new Bayesian global optimization…

Machine Learning · Computer Science 2016-02-23 Saul Toscano-Palmerin , Peter I. Frazier

In this paper we provide a rigorous convergence analysis for the renowned particle swarm optimization method by using tools from stochastic calculus and the analysis of partial differential equations. Based on a time-continuous formulation…

Numerical Analysis · Mathematics 2024-08-05 Hui Huang , Jinniao Qiu , Konstantin Riedl

We propose an algorithm to approximate solutions of global optimization problems in Sobolev spaces that follows the spirit of Consensus-based algorithms in finite dimensions. The main ingredient are Gaussian processes. In fact, we exploit…

Optimization and Control · Mathematics 2026-03-17 Mahmoud Khatab , Claudia Totzeck

Black-box optimization is a powerful approach for discovering global optima in noisy and expensive black-box functions, a problem widely encountered in real-world scenarios. Recently, there has been a growing interest in leveraging domain…

Machine Learning · Computer Science 2024-02-06 Dat Phan-Trong , Hung The Tran , Alistair Shilton , Sunil Gupta

With the rapid upliftment of technology, there has emerged a dire need to fine-tune or optimize certain processes, software, models or structures, with utmost accuracy and efficiency. Optimization algorithms are preferred over other methods…

Neural and Evolutionary Computing · Computer Science 2022-10-03 Thounaojam Chinglemba , Soujanyo Biswas , Debashish Malakar , Vivek Meena , Debojyoti Sarkar , Anupam Biswas

Collective decision-making is an essential capability of large-scale multi-robot systems to establish autonomy on the swarm level. A large portion of literature on collective decision-making in swarm robotics focuses on discrete decisions…

Robotics · Computer Science 2023-09-28 Mohsen Raoufi , Pawel Romanczuk , Heiko Hamann

Sequential model-based optimization (SMBO) approaches are algorithms for solving problems that require computationally or otherwise expensive function evaluations. The key design principle of SMBO is a substitution of the true objective…

Neural and Evolutionary Computing · Computer Science 2020-04-01 Jakob Bossek , Carola Doerr , Pascal Kerschke

Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems which cannot be solved…

Neural and Evolutionary Computing · Computer Science 2019-01-07 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

Bayesian Optimization (BO) is a widely used approach for blackbox optimization that leverages a Gaussian process (GP) model and an acquisition function to guide future sampling. While effective in low-dimensional settings, BO faces…

Machine Learning · Computer Science 2025-11-26 Pavankumar Koratikere , Leifur Leifsson

We propose constrained causal Bayesian optimization (cCBO), an approach for finding interventions in a known causal graph that optimize a target variable under some constraints. cCBO first reduces the search space by exploiting the graph…

Machine Learning · Statistics 2023-06-14 Virginia Aglietti , Alan Malek , Ira Ktena , Silvia Chiappa

Discovering optimal designs through sequential data collection is essential in many real-world applications. While Bayesian Optimization (BO) has achieved remarkable success in this setting, growing attention has recently turned to…

Machine Learning · Computer Science 2026-04-22 Chih-Yu Chang , Qiyuan Chen , Tianhan Gao , David Fenning , Chinedum Okwudire , Neil Dasgupta , Wei Lu , Raed Al Kontar

Black-box optimization algorithms have been widely used in various machine learning problems, including reinforcement learning and prompt fine-tuning. However, directly optimizing the training loss value, as commonly done in existing…

Machine Learning · Computer Science 2024-10-17 Feiyang Ye , Yueming Lyu , Xuehao Wang , Masashi Sugiyama , Yu Zhang , Ivor Tsang

Optimization is nothing but a mathematical technique which finds maxima or minima of any function of concern in some realistic region. Different optimization techniques are proposed which are competing for the best solution. Particle Swarm…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Vishakha A Metre , Mr Pramod B Deshmukh

This paper introduces the Trust-Based Optimization (TBO), a novel extension of the island model in evolutionary computation that replaces conventional periodic migrations with a flexible, agent-driven interaction mechanism based on trust or…

Neural and Evolutionary Computing · Computer Science 2025-10-30 Aleksandra Urbańczyk , Krzysztof Czech , Piotr Urbańczyk , Marek Kisiel-Dorohinicki , Aleksander Byrski

We propose a gradient-free deep reinforcement learning algorithm to solve high-dimensional, finite-horizon stochastic control problems. Although the recently developed deep reinforcement learning framework has achieved great success in…

Optimization and Control · Mathematics 2025-02-03 Liyao Lyu , Jingrun Chen

Many real-world optimisation problems such as hyperparameter tuning in machine learning or simulation-based optimisation can be formulated as expensive-to-evaluate black-box functions. A popular approach to tackle such problems is Bayesian…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Juergen Branke

We address an optimization problem where the cost function is the expectation of a random mapping. To tackle the problem two approaches based on the approximation of the objective function by consensus-based particle optimization methods on…

Optimization and Control · Mathematics 2025-11-24 Sabrina Bonandin , Michael Herty

Designing a fast and efficient optimization method with local optima avoidance capability on a variety of optimization problems is still an open problem for many researchers. In this work, the concept of a new global optimization method…

Neural and Evolutionary Computing · Computer Science 2012-08-13 Fereydoun Farrahi Moghaddam , Reza Farrahi Moghaddam , Mohamed Cheriet

We introduce a modified Consensus-Based Optimization model that admits a fully unified and rigorous analysis of its finite-particle dynamics, the associated McKean--Vlasov equation, and their optimization behavior under a single set of…

Probability · Mathematics 2025-11-25 Young-Pil Choi , Seungchan Lee , Sihyun Song
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