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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

Many real-world black-box optimization problems have multiple conflicting objectives. Rather than attempting to approximate the entire set of Pareto-optimal solutions, interactive preference learning allows to focus the search on the most…

机器学习 · 计算机科学 2026-01-15 Hanyang Wang , Juergen Branke , Matthias Poloczek

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

神经与进化计算 · 计算机科学 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

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

Bayesian optimization (BO) is a class of global optimization algorithms, suitable for minimizing an expensive objective function in as few function evaluations as possible. While BO budgets are typically given in iterations, this implicitly…

机器学习 · 计算机科学 2020-03-25 Eric Hans Lee , Valerio Perrone , Cedric Archambeau , Matthias Seeger

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

机器学习 · 计算机科学 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

机器学习 · 计算机科学 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

神经与进化计算 · 计算机科学 2024-05-24 Kamrul Hasan Rahi

Bayesian optimization (BO) is a powerful approach for seeking the global optimum of expensive black-box functions and has proven successful for fine tuning hyper-parameters of machine learning models. However, BO is practically limited to…

机器学习 · 统计学 2020-09-28 Riccardo Moriconi , Marc P. Deisenroth , K. S. Sesh Kumar

This work aims at developing new methodologies to optimize computational costly complex systems (e.g., aeronautical engineering systems). The proposed surrogate-based method (often called Bayesian optimization) uses adaptive sampling to…

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

Design optimization of engineering systems with multiple competing objectives is a painstakingly tedious process especially when the objective functions are expensive-to-evaluate computer codes with parametric uncertainties. The…

最优化与控制 · 数学 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal , B. P. Gautham , Amol Joshi , Pramod Zagade

We propose a nested weighted Tchebycheff Multi-objective Bayesian optimization framework where we build a regression model selection procedure from an ensemble of models, towards better estimation of the uncertain parameters of the…

机器学习 · 计算机科学 2021-10-22 Arpan Biswas , Claudio Fuentes , Christopher Hoyle

We propose MUMBO, the first high-performing yet computationally efficient acquisition function for multi-task Bayesian optimization. Here, the challenge is to perform efficient optimization by evaluating low-cost functions somehow related…

机器学习 · 计算机科学 2020-06-23 Henry B. Moss , David S. Leslie , Paul Rayson

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

应用统计 · 统计学 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

We consider the problem of optimizing expensive black-box functions over discrete spaces (e.g., sets, sequences, graphs). The key challenge is to select a sequence of combinatorial structures to evaluate, in order to identify…

机器学习 · 计算机科学 2022-02-07 Aryan Deshwal , Syrine Belakaria , Janardhan Rao Doppa , Alan Fern

Bayesian optimization (BO) protocol based on Active Learning (AL) principles has garnered significant attention due to its ability to optimize black-box objective functions efficiently. This capability is a prerequisite for guiding…

化学物理 · 物理学 2024-08-07 Osman Mamun , Markus Bause , Bhuiyan Shameem Mahmud Ebna Hai

We present a novel approach to help decision-makers efficiently identify preferred solutions from the Pareto set of a multi-objective optimization problem. Our method uses a Bayesian model to estimate the decision-maker's utility function…

机器学习 · 统计学 2025-11-13 Felix Huber , Sebastian Rojas Gonzalez , Raul Astudillo

Bayesian optimization (BO) is increasingly employed in critical applications such as materials design and drug discovery. An increasingly popular strategy in BO is to forgo the sole reliance on high-fidelity data and instead use an ensemble…

机器学习 · 统计学 2023-03-22 Zahra Zanjani Foumani , Mehdi Shishehbor , Amin Yousefpour , Ramin Bostanabad

Optimisation problems often have multiple conflicting objectives that can be computationally and/or financially expensive. Mono-surrogate Bayesian optimisation (BO) is a popular model-based approach for optimising such black-box functions.…

机器学习 · 计算机科学 2022-08-11 George De Ath , Tinkle Chugh , Alma A. M. Rahat