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Bayesian optimization is highly effective for optimizing expensive-to-evaluate black-box functions, but it faces significant computational challenges due to the cubic per-iteration cost of Gaussian processes, which results in a total time…

最优化与控制 · 数学 2026-05-21 Tansheng Zhu , Hongyu Zhou , Ke Jin , Xusheng Xu , Qiufan Yuan , Lijie Ji

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

机器学习 · 统计学 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

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…

机器学习 · 计算机科学 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

Efficient optimisation of black-box problems that comprise both continuous and categorical inputs is important, yet poses significant challenges. We propose a new approach, Continuous and Categorical Bayesian Optimisation (CoCaBO), which…

机器学习 · 统计学 2020-08-11 Binxin Ru , Ahsan S. Alvi , Vu Nguyen , Michael A. Osborne , Stephen J Roberts

Coarse-grained (CG) force field models are extensively utilised in material simulations due to their scalability. Traditionally, these models are parameterized using hybrid strategies that integrate top-down and bottom-up approaches;…

In Causal Bayesian Optimization (CBO), an agent intervenes on an unknown structural causal model to maximize a downstream reward variable. In this paper, we consider the generalization where other agents or external events also intervene on…

机器学习 · 计算机科学 2023-08-02 Scott Sussex , Pier Giuseppe Sessa , Anastasiia Makarova , Andreas Krause

Sample efficiency is one of the key factors when applying policy search to real-world problems. In recent years, Bayesian Optimization (BO) has become prominent in the field of robotics due to its sample efficiency and little prior…

机器人学 · 计算机科学 2020-11-19 Lukas P. Fröhlich , Melanie N. Zeilinger , Edgar D. Klenske

Bayesian Optimization (BO) has become a core method for solving expensive black-box optimization problems. While much research focussed on the choice of the acquisition function, we focus on online length-scale adaption and the choice of…

机器学习 · 计算机科学 2016-12-12 Kim Peter Wabersich , Marc Toussaint

Bayesian Optimisation (BO) refers to a class of methods for global optimisation of a function $f$ which is only accessible via point evaluations. It is typically used in settings where $f$ is expensive to evaluate. A common use case for BO…

机器学习 · 计算机科学 2019-03-19 Kirthevasan Kandasamy , Willie Neiswanger , Jeff Schneider , Barnabas Poczos , Eric Xing

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…

机器学习 · 计算机科学 2025-11-26 Pavankumar Koratikere , Leifur Leifsson

We consider the problem of optimizing hybrid structures (mixture of discrete and continuous input variables) via expensive black-box function evaluations. This problem arises in many real-world applications. For example, in materials design…

机器学习 · 计算机科学 2021-12-03 Aryan Deshwal , Syrine Belakaria , Janardhan Rao Doppa

For Bayesian optimization (BO) on high-dimensional data with complex structure, neural network-based kernels for Gaussian processes (GPs) have been used to learn flexible surrogate functions by the high representation power of deep…

机器学习 · 统计学 2021-11-02 Tomoharu Iwata

Optimisation problems often have multiple conflicting objectives that can be computationally and/or financially expensive. Mono-surrogate Bayesian optimisation (BO) is a popular model-based approach for optimising such black-box functions.…

机器学习 · 计算机科学 2022-08-11 George De Ath , Tinkle Chugh , Alma A. M. Rahat

This paper studies the problem of performing a sequence of optimal interventions in a causal dynamical system where both the target variable of interest and the inputs evolve over time. This problem arises in a variety of domains e.g.…

机器学习 · 统计学 2021-10-27 Virginia Aglietti , Neil Dhir , Javier González , Theodoros Damoulas

Computational models in fields such as computational neuroscience are often evaluated via stochastic simulation or numerical approximation. Fitting these models implies a difficult optimization problem over complex, possibly noisy parameter…

机器学习 · 统计学 2017-11-03 Luigi Acerbi , Wei Ji Ma

Bayesian optimization (BO) is an approach to globally optimizing black-box objective functions that are expensive to evaluate. BO-powered experimental design has found wide application in materials science, chemistry, experimental physics,…

机器学习 · 计算机科学 2023-10-10 Mimi Zhang , Andrew Parnell , Dermot Brabazon , Alessio Benavoli

In recent years, there has been notable interest in investigating combinatorial optimization (CO) problems by neural-based framework. An emerging strategy to tackle these challenging problems involves the adoption of graph neural networks…

机器学习 · 计算机科学 2024-06-11 Yang Liu , Chuan Zhou , Peng Zhang , Shirui Pan , Zhao Li , Hongyang Chen

Many real-world optimisation problems are defined over both categorical and continuous variables, yet efficient optimisation methods such asBayesian Optimisation (BO) are not designed tohandle such mixed-variable search spaces. Recent…

机器学习 · 统计学 2022-02-18 Yan Zuo , Amir Dezfouli , Iadine Chades , David Alexander , Benjamin Ward Muir

Optimizing multiple, non-preferential objectives for mixed-variable, expensive black-box problems is important in many areas of engineering and science. The expensive, noisy, black-box nature of these problems makes them ideal candidates…

机器学习 · 计算机科学 2022-11-15 Haris Moazam Sheikh , Philip S. Marcus

Combinatorial Optimization (CO) problems over graphs appear routinely in many applications such as in optimizing traffic, viral marketing in social networks, and matching for job allocation. Due to their combinatorial nature, these problems…

机器学习 · 计算机科学 2024-01-02 Hao Tian , Sourav Medya , Wei Ye