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This article addresses the problem of derivative-free (single- or multi-objective) optimization subject to multiple inequality constraints. Both the objective and constraint functions are assumed to be smooth, non-linear and expensive to…

统计计算 · 统计学 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Hyperparameter tuning is a challenging problem especially when the system itself involves uncertainty. Due to noisy function evaluations, optimization under uncertainty can be computationally expensive. In this paper, we present a novel…

机器学习 · 计算机科学 2025-10-09 Akash Yadav , Ruda Zhang

Bayesian optimization (BO) is a sample-efficient approach to optimizing costly-to-evaluate black-box functions. Most BO methods ignore how evaluation costs may vary over the optimization domain. However, these costs can be highly…

机器学习 · 计算机科学 2021-11-15 Raul Astudillo , Daniel R. Jiang , Maximilian Balandat , Eytan Bakshy , Peter I. Frazier

Real-world decision-making systems are often subject to uncertainties that have to be resolved through observational data. Therefore, we are frequently confronted with combinatorial optimization problems of which the objective function is…

机器学习 · 计算机科学 2022-03-29 Guangmo Tong

Bayesian Optimization is a popular approach for optimizing expensive black-box functions. Its key idea is to use a surrogate model to approximate the objective and, importantly, quantify the associated uncertainty that allows a sequential…

机器学习 · 统计学 2025-02-05 Haoxian Chen , Henry Lam

A mathematical framework for modelling constrained mixed-variable optimization problems is presented in a blackbox optimization context. The framework introduces a new notation and allows solution strategies. The notation framework allows…

最优化与控制 · 数学 2022-04-05 Charles Audet , Edward Hallé-Hannan , Sébastien Le Digabel

Portfolio optimization has been a major topic of research in finance, as it has a significant impact on investment profit. In this paper, we investigate the problem of data uncertainty in convex multi-objective portfolio optimization. We…

最优化与控制 · 数学 2018-04-11 Amin Mohazab Rahimzadeh , Alireza Saranj

Multi-objective Bayesian optimization has been widely adopted in scientific experiment design, including drug discovery and hyperparameter optimization. In practice, regulatory or safety concerns often impose additional thresholds on…

机器学习 · 计算机科学 2025-04-22 Diantong Li , Fengxue Zhang , Chong Liu , Yuxin Chen

We present a framework to build a multiobjective algorithm from single-objective ones. This framework addresses the $p \times n$-dimensional problem of finding p solutions in an n-dimensional search space, maximizing an indicator by dynamic…

最优化与控制 · 数学 2019-04-19 Cheikh Touré , Nikolaus Hansen , Anne Auger , Dimo Brockhoff

In this study, we propose a novel multi-objective Bayesian optimization (MOBO) method to efficiently identify the Pareto front (PF) defined by risk measures for black-box functions under the presence of input uncertainty (IU). Existing BO…

机器学习 · 统计学 2023-11-27 Yu Inatsu , Shion Takeno , Hiroyuki Hanada , Kazuki Iwata , Ichiro Takeuchi

Bayesian optimization (BO) is a popular method to optimize costly black-box functions. While traditional BO optimizes each new target task from scratch, meta-learning has emerged as a way to leverage knowledge from related tasks to optimize…

机器学习 · 计算机科学 2024-07-01 Jiarong Pan , Stefan Falkner , Felix Berkenkamp , Joaquin Vanschoren

Efficiently solving multi-objective optimization problems for simulation optimization of important scientific and engineering applications such as materials design is becoming an increasingly important research topic. This is due largely to…

人工智能 · 计算机科学 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt

Bayesian Optimization (BO) is a widely-used method for optimizing expensive-to-evaluate black-box functions. Traditional BO assumes that the learner has full control over all query variables without additional constraints. However, in many…

机器学习 · 计算机科学 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of uncertain optimization problems, robust optimization is a…

最优化与控制 · 数学 2025-03-11 Shubham Kumar , Nihar Kumar Mahatoa , Debdas Ghosh

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

机器学习 · 计算机科学 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

人工智能 · 计算机科学 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

机器学习 · 统计学 2018-10-11 Ricardo Baptista , Matthias Poloczek

Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

机器学习 · 统计学 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

Bayesian optimization is widely used for optimizing expensive black box functions, but most existing approaches focus on scalar responses. In many scientific and engineering settings the response is functional, varying smoothly over an…

机器学习 · 计算机科学 2026-04-28 Pouya Ahadi , Reza Marzban , Ali Adibi , Kamran Paynabar

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

机器学习 · 计算机科学 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter