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Because of its sample efficiency, Bayesian optimization (BO) has become a popular approach dealing with expensive black-box optimization problems, such as hyperparameter optimization (HPO). Recent empirical experiments showed that the loss…

Machine Learning · Computer Science 2021-11-11 Difan Deng , Marius Lindauer

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

Bayesian Optimisation (BO) is a state-of-the-art global optimisation technique for black-box problems where derivative information is unavailable, and sample efficiency is crucial. However, improving the general scalability of BO has proved…

Optimization and Control · Mathematics 2024-12-13 Luo Long , Coralia Cartis , Paz Fink Shustin

Bayesian optimization (BO) has been widely used to optimize expensive and black-box functions across various domains. However, existing BO methods have not addressed tensor-output functions. To fill this gap, we propose a novel…

Machine Learning · Computer Science 2026-03-03 Jingru Huang , Haijie Xu , Jie Guo , Manrui Jiang , Chen Zhang

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 (BO) is a popular method for optimizing expensive-to-evaluate black-box functions. BO budgets are typically given in iterations, which implicitly assumes each evaluation has the same cost. In fact, in many BO…

Machine Learning · Computer Science 2021-06-14 Eric Hans Lee , David Eriksson , Valerio Perrone , Matthias Seeger

We consider the problem of optimizing combinatorial spaces (e.g., sequences, trees, and graphs) using expensive black-box function evaluations. For example, optimizing molecules for drug design using physical lab experiments. Bayesian…

Machine Learning · Computer Science 2022-02-07 Aryan Deshwal , Janardhan Rao Doppa

Bayesian Optimisation has gained much popularity lately, as a global optimisation technique for functions that are expensive to evaluate or unknown a priori. While classical BO focuses on where to gather an observation next, it does not…

Robotics · Computer Science 2017-03-14 Philippe Morere , Roman Marchant , Fabio Ramos

We address the problem of optimizing over functions defined on node subsets in a graph. The optimization of such functions is often a non-trivial task given their combinatorial, black-box and expensive-to-evaluate nature. Although various…

Machine Learning · Computer Science 2025-01-07 Huidong Liang , Xingchen Wan , Xiaowen Dong

Bayesian optimization (BO) is an effective technique for black-box optimization. However, its applicability is typically limited to moderate-budget problems due to the cubic complexity of fitting the Gaussian process (GP) surrogate model.…

Machine Learning · Statistics 2025-10-13 Qiyu Wei , Haowei Wang , Zirui Cao , Songhao Wang , Richard Allmendinger , Mauricio A Álvarez

Bayesian optimization (BO) is a sequential decision-making tool widely used for optimizing expensive black-box functions. Recently, Large Language Models (LLMs) have shown remarkable adaptability in low-data regimes, making them promising…

Machine Learning · Computer Science 2025-10-10 Chih-Yu Chang , Milad Azvar , Chinedum Okwudire , Raed Al Kontar

Scaling Bayesian optimisation (BO) to high-dimensional search spaces is a active and open research problems particularly when no assumptions are made on function structure. The main reason is that at each iteration, BO requires to find…

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

Bayesian optimization (BO ) is an effective method for optimizing expensive-to-evaluate black-box functions. While high-dimensional problems can be particularly challenging, due to the multitude of parameter choices and the potentially high…

Machine Learning · Computer Science 2025-04-09 Erik Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

Bayesian Optimization (BO) is an effective method for finding the global optimum of expensive black-box functions. However, it is well known that applying BO to high-dimensional optimization problems is challenging. To address this issue, a…

Machine Learning · Statistics 2024-02-06 Lam Ngo , Huong Ha , Jeffrey Chan , Vu Nguyen , Hongyu Zhang

Bayesian optimization (BO) is a powerful paradigm for optimizing expensive black-box functions. Traditional BO methods typically rely on separate hand-crafted acquisition functions and surrogate models for the underlying function, and often…

Machine Learning · Computer Science 2025-07-10 Fengxue Zhang , Yuxin Chen

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

This paper focuses on Bayesian Optimization (BO) for objectives on combinatorial search spaces, including ordinal and categorical variables. Despite the abundance of potential applications of Combinatorial BO, including chipset…

Machine Learning · Statistics 2019-10-29 Changyong Oh , Jakub M. Tomczak , Efstratios Gavves , Max Welling

Bayesian Optimization (BO) is a powerful tool for optimizing complex non-linear systems. However, its performance degrades in high-dimensional problems with tightly coupled parameters and highly asymmetric objective landscapes, where…

Machine Learning · Computer Science 2026-02-12 Aashwin Mishra , Matt Seaberg , Ryan Roussel , Daniel Ratner , Apurva Mehta

Bayesian optimisation (BO) is a surrogate-based optimisation technique that efficiently solves expensive black-box functions with small evaluation budgets. Recent studies consider trust regions to improve the scalability of BO approaches…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Kokila Kasuni Perera , Frank Neumann , Aneta Neumann

Many real-world tasks require optimizing expensive black-box functions accessible only through noisy evaluations, a setting commonly addressed with Bayesian optimization (BO). While Bayesian neural networks (BNNs) have recently emerged as…

Machine Learning · Computer Science 2026-01-14 Farhad Mirkarimi