English
Related papers

Related papers: Non-Myopic Multifidelity Bayesian Optimization

200 papers

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…

Machine Learning · Computer Science 2026-04-28 Pouya Ahadi , Reza Marzban , Ali Adibi , Kamran Paynabar

The aim of black-box optimization is to optimize an objective function within the constraints of a given evaluation budget. In this problem, it is generally assumed that the computational cost for evaluating a point is large; thus, it is…

Machine Learning · Statistics 2019-12-03 Masahiro Nomura , Kenshi Abe

Bayesian optimization (BO) developed as an approach for the efficient optimization of expensive black-box functions without gradient information. A typical BO paper introduces a new approach and compares it to some alternatives on simulated…

Computation · Statistics 2023-10-17 Jiajie Kong , Tony Pourmohamad , Herbert K. H. Lee

The optimization of expensive-to-evaluate black-box functions is prevalent in various scientific disciplines. Bayesian optimization is an automatic, general and sample-efficient method to solve these problems with minimal knowledge of the…

Machine Learning · Computer Science 2024-02-20 Carl Hvarfner , Frank Hutter , Luigi Nardi

The adoption of high-fidelity models for many-query optimization problems is majorly limited by the significant computational cost required for their evaluation at every query. Multifidelity Bayesian methods (MFBO) allow to include costly…

Machine Learning · Computer Science 2024-07-08 Francesco Di Fiore , Laura Mainini

A solution that is only reliable under favourable conditions is hardly a safe solution. Min Max Optimization is an approach that returns optima that are robust against worst case conditions. We propose algorithms that perform Min Max…

Machine Learning · Computer Science 2021-07-30 Dorina Weichert , Alexander Kister

In Bayesian optimization (BO) for expensive black-box optimization tasks, acquisition function (AF) guides sequential sampling and plays a pivotal role for efficient convergence to better optima. Prevailing AFs usually rely on artificial…

Machine Learning · Computer Science 2022-10-04 Zijing Liu , Xiyao Qu , Xuejun Liu , Hongqiang Lyu

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…

Machine Learning · Statistics 2025-02-05 Haoxian Chen , Henry Lam

Real-world black-box optimization often involves time-consuming or costly experiments and simulations. Multi-fidelity optimization (MFO) stands out as a cost-effective strategy that balances high-fidelity accuracy with computational…

Machine Learning · Computer Science 2024-02-16 Ke Li , Fan Li

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…

Neural and Evolutionary Computing · Computer Science 2022-06-23 Jixiang Chen , Fu Luo , Zhenkun Wang

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

Machine Learning · Computer Science 2023-04-04 Afonso Eduardo , Michael U. Gutmann

Bayesian optimization (BO) is a popular approach for sample-efficient optimization of black-box objective functions. While BO has been successfully applied to a wide range of scientific applications, traditional approaches to…

Machine Learning · Computer Science 2023-05-04 Natalie Maus , Kaiwen Wu , David Eriksson , Jacob Gardner

Model-based sequential approaches to discrete "black-box" optimization, including Bayesian optimization techniques, often access the same points multiple times for a given objective function in interest, resulting in many steps to find the…

Machine Learning · Computer Science 2023-12-29 Keisuke Morita , Yoshihiko Nishikawa , Masayuki Ohzeki

Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to…

Optimization and Control · Mathematics 2026-05-14 André L. Marchildon , David W. Zingg

Bayesian optimization (BO) is a powerful approach for optimizing black-box, expensive-to-evaluate functions. To enable a flexible trade-off between the cost and accuracy, many applications allow the function to be evaluated at different…

Machine Learning · Computer Science 2021-10-27 Shibo Li , Robert M. Kirby , Shandian Zhe

Bayesian optimization (BO) is a powerful framework for optimizing black-box, expensive-to-evaluate functions. Over the past decade, many algorithms have been proposed to integrate cheaper, lower-fidelity approximations of the objective…

Machine Learning · Computer Science 2023-02-27 Petrus Mikkola , Julien Martinelli , Louis Filstroff , Samuel Kaski

We consider Bayesian optimization of the output of a network of functions, where each function takes as input the output of its parent nodes, and where the network takes significant time to evaluate. Such problems arise, for example, in…

Machine Learning · Computer Science 2022-01-03 Raul Astudillo , Peter I. Frazier

Bayesian optimisation is a powerful tool to solve expensive black-box problems, but fails when the stationary assumption made on the objective function is strongly violated, which is the case in particular for ill-conditioned or…

Machine Learning · Statistics 2019-12-06 Victor Picheny , Sattar Vakili , Artem Artemev

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…

Machine Learning · Computer Science 2020-06-23 Henry B. Moss , David S. Leslie , Paul Rayson

Multi-fidelity optimization employs surrogate models that integrate information from varying levels of fidelity to guide efficient exploration of complex design spaces while minimizing the reliance on (expensive) high-fidelity objective…