English
Related papers

Related papers: A General Recipe for Likelihood-free Bayesian Opti…

200 papers

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

In this paper, we deal with batch Bayesian Optimization (Bayes-Opt) problems over a box and we propose a novel bi-objective optimization (BOO) acquisition strategy to sample points where to evaluate the objective function. The BOO problem…

Optimization and Control · Mathematics 2025-05-27 Francesco Carciaghi , Simone Magistri , Pierluigi Mansueto , Fabio Schoen

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

Machine Learning · Computer Science 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

Bayesian Optimization, leveraging Gaussian process models, has proven to be a powerful tool for minimizing expensive-to-evaluate objective functions by efficiently exploring the search space. Extensions such as constrained Bayesian…

Computation · Statistics 2025-06-03 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

Global optimisation to optimise expensive-to-evaluate black-box functions without gradient information. Bayesian optimisation, one of the most well-known techniques, typically employs Gaussian processes as surrogate models, leveraging their…

Machine Learning · Computer Science 2026-03-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

Machine Learning · Computer Science 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

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.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

We study the problem of preferential Bayesian optimization (BO), where we aim to optimize a black-box function with only preference feedback over a pair of candidate solutions. Inspired by the likelihood ratio idea, we construct a…

Machine Learning · Computer Science 2024-05-30 Wenjie Xu , Wenbin Wang , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

We are often interested in identifying the feasible subset of a decision space under multiple constraints to permit effective design exploration. If determining feasibility required computationally expensive simulations, the cost of…

Machine Learning · Computer Science 2020-06-25 Alma Rahat , Michael Wood

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

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…

Computation · Statistics 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Bayesian Optimization (BO) links Gaussian Process (GP) surrogates with sequential design toward optimizing expensive-to-evaluate black-box functions. Example design heuristics, or so-called acquisition functions, like expected improvement…

Machine Learning · Computer Science 2023-08-16 Ryan B. Christianson , Robert B. Gramacy

Bayesian optimization (BO) has well-documented merits for optimizing black-box functions with an expensive evaluation cost. Such functions emerge in applications as diverse as hyperparameter tuning, drug discovery, and robotics. BO hinges…

Machine Learning · Statistics 2026-05-28 Qin Lu , Konstantinos D. Polyzos , Bingcong Li , Georgios B. Giannakis

Bayesian optimization has emerged as a prominent methodology for optimizing expensive black-box functions by leveraging Gaussian process surrogates, which focus on capturing the global characteristics of the objective function. However, in…

Machine Learning · Computer Science 2026-03-03 Qiyu Wei , Haowei Wang , Richard Allmendinger , Mauricio A. Álvarez

Bayesian optimization (BO) is a widely used method for data-driven optimization that generally relies on zeroth-order data of objective function to construct probabilistic surrogate models. These surrogates guide the…

Machine Learning · Computer Science 2025-08-08 Georgios Makrygiorgos , Joshua Hang Sai Ip , Ali Mesbah

Bayesian optimization (BO) and its batch extensions are successful for optimizing expensive black-box functions. However, these traditional BO approaches are not yet ideal for optimizing less expensive functions when the computational cost…

Machine Learning · Computer Science 2018-11-06 Vu Nguyen , Sunil Gupta , Santu Rana , Cheng Li , Svetha Venkatesh

While sample efficiency is the main motive for use of Bayesian optimisation when black-box functions are expensive to evaluate, the standard approach based on type II maximum likelihood (ML-II) may fail and result in disappointing…

Machine Learning · Computer Science 2022-08-31 Yuji Saikai

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…

Machine Learning · Statistics 2023-03-22 Zahra Zanjani Foumani , Mehdi Shishehbor , Amin Yousefpour , Ramin Bostanabad

Bayesian Optimization, the application of Bayesian function approximation to finding optima of expensive functions, has exploded in popularity in recent years. In particular, much attention has been paid to improving its efficiency on…

Optimization and Control · Mathematics 2022-05-18 Mickael Binois , Nathan Wycoff

A wide spectrum of design and decision problems, including parameter tuning, A/B testing and drug design, intrinsically are instances of black-box optimization. Bayesian optimization (BO) is a powerful tool that models and optimizes such…

Machine Learning · Computer Science 2023-02-14 Tianyi Bai , Yang Li , Yu Shen , Xinyi Zhang , Wentao Zhang , Bin Cui