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Motivated by the success of Bayesian optimisation algorithms in the Euclidean space, we propose a novel approach to construct Intrinsic Bayesian optimisation (In-BO) on manifolds with a primary focus on complex constrained domains or…

机器学习 · 统计学 2023-01-31 Yuan Liu , Mu Niu , Claire Miller

Bayesian optimisation (BO) is a standard approach for sample-efficient global optimisation of expensive black-box functions, yet its scalability to high dimensions remains challenging. Here, we investigate nonlinear dimensionality reduction…

最优化与控制 · 数学 2025-10-20 Luo Long , Coralia Cartis , Paz Fink Shustin

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

Many real world scientific and industrial applications require optimizing multiple competing black-box objectives. When the objectives are expensive-to-evaluate, multi-objective Bayesian optimization (BO) is a popular approach because of…

机器学习 · 计算机科学 2022-06-17 Samuel Daulton , David Eriksson , Maximilian Balandat , Eytan Bakshy

Bayesian optimization (BO) is a class of sample-efficient global optimization methods, where a probabilistic model conditioned on previous observations is used to determine future evaluations via the optimization of an acquisition function.…

机器学习 · 计算机科学 2020-06-22 Eric Hans Lee , David Eriksson , Bolong Cheng , Michael McCourt , David Bindel

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…

机器学习 · 统计学 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

Efficient optimization of molecules with targeted properties remains a significant challenge due to the vast size and discrete nature of chemical compound space. Conventional machine-learning-based optimization approaches typically require…

化学物理 · 物理学 2026-03-04 Yun-Wen Mao , Roman V. Krems

Bayesian optimization (BO) is widely adopted in black-box optimization problems and it relies on a surrogate model to approximate the black-box response function. With the increasing number of black-box optimization tasks solved and even…

机器学习 · 计算机科学 2023-08-10 Wenlong Lyu , Shoubo Hu , Jie Chuai , Zhitang Chen

Parameter settings profoundly impact the performance of machine learning algorithms and laboratory experiments. The classical grid search or trial-error methods are exponentially expensive in large parameter spaces, and Bayesian…

机器学习 · 计算机科学 2017-04-18 Vu Nguyen , Santu Rana , Sunil Gupta , Cheng Li , Svetha Venkatesh

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

We propose an extrinsic Bayesian optimization (eBO) framework for general optimization problems on manifolds. Bayesian optimization algorithms build a surrogate of the objective function by employing Gaussian processes and quantify the…

最优化与控制 · 数学 2023-01-02 Yihao Fang , Mu Niu , Pokman Cheung , Lizhen Lin

Bayesian optimization (BO) is among the most effective and widely-used blackbox optimization methods. BO proposes solutions according to an explore-exploit trade-off criterion encoded in an acquisition function, many of which are computed…

机器学习 · 计算机科学 2021-02-19 Louis C. Tiao , Aaron Klein , Matthias Seeger , Edwin V. Bonilla , Cedric Archambeau , Fabio Ramos

Bayesian optimization is an effective method for optimizing expensive-to-evaluate black-box functions. High-dimensional problems are particularly challenging as the surrogate model of the objective suffers from the curse of dimensionality,…

机器学习 · 计算机科学 2023-10-06 Erik Orm Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

Optimizing expensive to evaluate black-box functions over an input space consisting of all permutations of d objects is an important problem with many real-world applications. For example, placement of functional blocks in hardware design…

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

This paper introduces a model-free real-time optimization (RTO) framework based on unconstrained Bayesian optimization with embedded constraint control. The main contribution lies in demonstrating how this approach simplifies the black-box…

最优化与控制 · 数学 2024-02-29 Dinesh Krishnamoorthy

Bayesian optimization (BO) is a widely used framework for optimizing expensive black-box functions, commonly based on Gaussian process (GP) surrogate models. Its effectiveness relies on uncertainty quantification that is both sharp…

机器学习 · 计算机科学 2026-05-12 Marshal Arijona Sinaga , Julien Martinelli , Teemu Turpeinen , Samuel Kaski

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

无序系统与神经网络 · 物理学 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

Motivated by the growing need for black-box optimization and data privacy, we introduce a collaborative Bayesian optimization (BO) framework that addresses both of these challenges. In this framework agents work collaboratively to optimize…

机器学习 · 计算机科学 2025-04-16 Donglin Zhan , Haoting Zhang , Rhonda Righter , Zeyu Zheng , James Anderson

Bayesian optimization (BO) is a powerful paradigm for efficient optimization of black-box objective functions. High-dimensional BO presents a particular challenge, in part because the curse of dimensionality makes it difficult to define --…

机器学习 · 计算机科学 2021-06-11 David Eriksson , Martin Jankowiak

Bayesian optimisation (BO) is widely used to optimise stochastic black box functions. While most BO approaches focus on optimising conditional expectations, many applications require risk-averse strategies and alternative criteria…

机器学习 · 统计学 2022-07-11 Victor Picheny , Henry Moss , Léonard Torossian , Nicolas Durrande