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Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

Optimization and Control · Mathematics 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli

High dimensional parameter space optimization is crucial in many applications. The parameters affecting this performance can be both numerical and categorical in their type. The existing techniques of black-box optimization and visual…

Human-Computer Interaction · Computer Science 2022-05-02 Anjul Tyagi

Tree ensembles can be well-suited for black-box optimization tasks such as algorithm tuning and neural architecture search, as they achieve good predictive performance with little or no manual tuning, naturally handle discrete feature…

We consider the problem of black-box function optimization over the boolean hypercube. Despite the vast literature on black-box function optimization over continuous domains, not much attention has been paid to learning models for…

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

Optimization of real-world black-box functions defined over purely categorical variables is an active area of research. In particular, optimization and design of biological sequences with specific functional or structural properties have a…

Machine Learning · Computer Science 2022-02-25 Hamid Dadkhahi , Jesus Rios , Karthikeyan Shanmugam , Payel Das

Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond. In this paper,…

Machine Learning · Computer Science 2024-01-30 Joel A. Paulson , Calvin Tsay

Many real-world optimisation problems such as hyperparameter tuning in machine learning or simulation-based optimisation can be formulated as expensive-to-evaluate black-box functions. A popular approach to tackle such problems is Bayesian…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Juergen Branke

Optimizing expensive black-box objectives over mixed search spaces is a common challenge across the natural sciences. Bayesian optimization (BO) offers sample-efficient strategies through probabilistic surrogate models and acquisition…

Machine Learning · Computer Science 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

Bayesian optimization is a data-efficient technique that has been shown to be extremely powerful to optimize expensive, black-box, and possibly noisy objective functions. Many applications involve optimizing probabilities and mixtures which…

Machine Learning · Computer Science 2026-03-11 Federico Pavesi , Antonio Candelieri , Noémie Jaquier

Bayesian optimization (BO) is a popular approach for optimizing expensive-to-evaluate black-box objective functions. An important challenge in BO is its application to high-dimensional search spaces due in large part to the curse of…

Machine Learning · Computer Science 2025-05-27 Wei-Ting Tang , Joel A. Paulson

Bayesian optimization is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

Machine Learning · Statistics 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

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…

Optimization and Control · Mathematics 2022-04-05 Charles Audet , Edward Hallé-Hannan , Sébastien Le Digabel

We introduce a gradient-based approach for the problem of Bayesian optimal experimental design to learn causal models in a batch setting -- a critical component for causal discovery from finite data where interventions can be costly or…

Machine Learning · Computer Science 2023-06-05 Yashas Annadani , Panagiotis Tigas , Desi R. Ivanova , Andrew Jesson , Yarin Gal , Adam Foster , Stefan Bauer

We focus on collaborative and federated black-box optimization (BBOpt), where agents optimize their heterogeneous black-box functions through collaborative sequential experimentation. From a Bayesian optimization perspective, we address the…

Machine Learning · Computer Science 2025-08-25 Raed Al Kontar

Bayesian Optimization algorithm has become a promising approach for nonlinear global optimization problems and many machine learning applications. Over the past few years, improvements and enhancements have been brought forward and they…

Machine Learning · Computer Science 2022-01-04 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha

Optimization problems characterized by both discrete and continuous variables are common across various disciplines, presenting unique challenges due to their complex solution landscapes and the difficulty of navigating mixed-variable…

Optimization and Control · Mathematics 2024-06-03 Haoyan Zhai , Qianli Hu , Jiangning Chen

Model selection is an integral problem of model based optimization techniques such as Bayesian optimization (BO). Current approaches often treat model selection as an estimation problem, to be periodically updated with observations coming…

Machine Learning · Computer Science 2023-08-02 Manisha Senadeera , Santu Rana , Sunil Gupta , Svetha Venkatesh

Bayesian optimisation is a popular, surrogate model-based approach for optimising expensive black-box functions. Given a surrogate model, the next location to expensively evaluate is chosen via maximisation of a cheap-to-query acquisition…

Machine Learning · Computer Science 2020-03-31 George De Ath , Richard M. Everson , Jonathan E. Fieldsend , Alma A. M. Rahat

We present a geometric multilevel optimization approach that smoothly incorporates box constraints. Given a box constrained optimization problem, we consider a hierarchy of models with varying discretization levels. Finer models are…

Optimization and Control · Mathematics 2024-04-23 Sebastian Müller , Stefania Petra , Matthias Zisler