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Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

Applications · Statistics 2018-08-24 Ran Rubin

Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model. Gaussian processes have limited applicability in…

Applications · Statistics 2025-12-04 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

The ultimate goal of optimization is to find the minimizer of a target function.However, typical criteria for active optimization often ignore the uncertainty about the minimizer. We propose a novel criterion for global optimization and an…

Methodology · Statistics 2012-02-13 Il Memming Park , Marcel Nassar , Mijung Park

We study an optimal process control problem with multiple assignable causes. The process is initially in-control but is subject to random transition to one of multiple out-of-control states due to assignable causes. The objective is to find…

Optimization and Control · Mathematics 2012-12-12 Jue Wang , Chi-Guhn Lee

Manual tuning of performance-critical controller parameters can be tedious and sub-optimal. Bayesian Optimization (BO) is an increasingly popular practical alternative to automatically optimize controller parameters from few experiments.…

Systems and Control · Electrical Eng. & Systems 2025-01-22 David Stenger , Dominik Scheurenberg , Heike Vallery , Sebastian Trimpe

A recent development in Bayesian optimization is the use of local optimization strategies, which can deliver strong empirical performance on high-dimensional problems compared to traditional global strategies. The "folk wisdom" in the…

Machine Learning · Computer Science 2024-03-12 Kaiwen Wu , Kyurae Kim , Roman Garnett , Jacob R. Gardner

Bayesian optimization is a class of global optimization techniques. In Bayesian optimization, the underlying objective function is modeled as a realization of a Gaussian process. Although the Gaussian process assumption implies a random…

Statistics Theory · Mathematics 2023-05-08 Rui Tuo , Wenjia Wang

Bayesian optimization is an advanced tool to perform ecient global optimization It consists on enriching iteratively surrogate Kriging models of the objective and the constraints both supposed to be computationally expensive of the targeted…

Machine Learning · Computer Science 2025-04-14 Robin Grapin , Youssef Diouane , Joseph Morlier , Nathalie Bartoli , Thierry Lefebvre , Paul Saves , Jasper Bussemaker

Black box optimization requires specifying a search space to explore for solutions, e.g. a d-dimensional compact space, and this choice is critical for getting the best results at a reasonable budget. Unfortunately, determining a high…

Machine Learning · Computer Science 2021-12-20 Setareh Ariafar , Justin Gilmer , Zachary Nado , Jasper Snoek , Rodolphe Jenatton , George E. Dahl

Scaling Bayesian optimization to high dimensions is challenging task as the global optimization of high-dimensional acquisition function can be expensive and often infeasible. Existing methods depend either on limited active variables or…

Machine Learning · Statistics 2018-02-16 Cheng Li , Sunil Gupta , Santu Rana , Vu Nguyen , Svetha Venkatesh , Alistair Shilton

In typical applications of Bayesian optimization, minimal assumptions are made about the objective function being optimized. This is true even when researchers have prior information about the shape of the function with respect to one or…

Machine Learning · Statistics 2016-12-30 Michael Jauch , Víctor Peña

We propose an algorithm for a family of optimization problems where the objective can be decomposed as a sum of functions with monotonicity properties. The motivating problem is optimization of hyperparameters of machine learning…

Machine Learning · Computer Science 2018-02-20 Wenyi Wang , William J. Welch

Performing optimal Bayesian design for discriminating between competing models is computationally intensive as it involves estimating posterior model probabilities for thousands of simulated datasets. This issue is compounded further when…

Methodology · Statistics 2022-04-07 Markus Hainy , David J. Price , Olivier Restif , Christopher Drovandi

Selecting an optimal set of exemplars is critical for good performance of in-context learning. However, prior exemplar search methods narrowly optimize for predictive accuracy, critically neglecting model calibration--a key determinant of…

Machine Learning · Computer Science 2025-10-02 Gaoxiang Luo , Aryan Deshwal

Domain experts often possess valuable physical insights that are overlooked in fully automated decision-making processes such as Bayesian optimisation. In this article we apply high-throughput (batch) Bayesian optimisation alongside…

Machine Learning · Computer Science 2023-12-06 Tom Savage , Ehecatl Antonio del Rio Chanona

After experimenting with a number of non-probabilistic methods for dealing with uncertainty many researchers reaffirm a preference for probability methods [1] [2], although this remains controversial. The importance of being able to form…

Artificial Intelligence · Computer Science 2013-04-11 Thomas Slack

Bayesian optimization works effectively optimizing parameters in black-box problems. However, this method did not work for high-dimensional parameters in limited trials. Parameters can be efficiently explored by nonlinearly embedding them…

Machine Learning · Computer Science 2022-06-14 Shoki Miyagawa , Atsuyoshi Yano , Naoko Sawada , Isamu Ogawa

Most research in Bayesian optimization (BO) has focused on \emph{direct feedback} scenarios, where one has access to exact values of some expensive-to-evaluate objective. This direction has been mainly driven by the use of BO in machine…

Machine Learning · Computer Science 2021-09-02 Eero Siivola , Akash Kumar Dhaka , Michael Riis Andersen , Javier Gonzalez , Pablo Garcia Moreno , Aki Vehtari

Optimal stopping is the problem of determining when to stop a stochastic system in order to maximize reward, which is of practical importance in domains such as finance, operations management and healthcare. Existing methods for…

Optimization and Control · Mathematics 2022-03-28 Xinyi Guan , Velibor V. Mišić

In this paper we develop a dynamic form of Bayesian optimization for machine learning models with the goal of rapidly finding good hyperparameter settings. Our method uses the partial information gained during the training of a machine…

Machine Learning · Statistics 2014-06-17 Kevin Swersky , Jasper Snoek , Ryan Prescott Adams
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