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Optimizing objectives under constraints, where both the objectives and constraints are black box functions, is a common scenario in real-world applications such as scientific experimental design, design of medical therapies, and industrial…

机器学习 · 计算机科学 2023-10-16 Fengxue Zhang , Zejie Zhu , Yuxin Chen

Designing the architecture for an artificial neural network is a cumbersome task because of the numerous parameters to configure, including activation functions, layer types, and hyper-parameters. With the large number of parameters for…

机器学习 · 计算机科学 2018-10-15 Bas van Stein , Hao Wang , Thomas Bäck

Continuous p-dispersion problems with and without boundary constraints are NP-hard optimization problems with numerous real-world applications, notably in facility location and circle packing, which are widely studied in mathematics and…

最优化与控制 · 数学 2024-05-28 Xiangjing Lai , Zhenheng Lin , Jin-Kao Hao , Qinghua Wu

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

最优化与控制 · 数学 2023-10-16 Xinyu Zhang , Sujit Ghosh

Bayesian optimization (BO) is a framework for global optimization of expensive-to-evaluate objective functions. Classical BO methods assume that the objective function is a black box. However, internal information about objective function…

机器学习 · 计算机科学 2022-01-04 Raul Astudillo , Peter I. Frazier

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…

机器学习 · 计算机科学 2021-11-11 Difan Deng , Marius Lindauer

Real-world optimization problems often involve complex objective functions with costly evaluations. While Bayesian optimization (BO) with Gaussian processes is effective for these challenges, it suffers in high-dimensional spaces due to…

机器学习 · 计算机科学 2024-12-17 Nobuo Namura , Sho Takemori

Zero-order optimization has recently received significant attention for designing optimal trajectories and policies for robotic systems. However, most existing methods (e.g., MPPI, CEM, and CMA-ES) are local in nature, as they rely on…

机器人学 · 计算机科学 2026-02-09 Xudong Sun , Armand Jordana , Massimo Fornasier , Jalal Etesami , Majid Khadiv

In this paper, we propose and analyze a trust-region model-based algorithm for solving unconstrained stochastic optimization problems. Our framework utilizes random models of an objective function $f(x)$, obtained from stochastic…

最优化与控制 · 数学 2016-09-26 Ruobing Chen , Matt Menickelly , Katya Scheinberg

Many science and engineering applications feature non-convex optimization problems where the objective function can not be handled analytically, i.e. it is a black box. Examples include design optimization via experiments, or via costly…

最优化与控制 · 数学 2022-02-18 Lorenzo Sabug , Fredy Ruiz , Lorenzo Fagiano

Bayesian optimization over the latent spaces of deep autoencoder models (DAEs) has recently emerged as a promising new approach for optimizing challenging black-box functions over structured, discrete, hard-to-enumerate search spaces (e.g.,…

机器学习 · 计算机科学 2023-02-24 Natalie Maus , Haydn T. Jones , Juston S. Moore , Matt J. Kusner , John Bradshaw , Jacob R. Gardner

Existing Bayesian Optimization (BO) methods typically balance exploration and exploitation to optimize costly objective functions. However, these methods often suffer from a significant one-step bias, which may lead to convergence towards…

机器学习 · 计算机科学 2025-10-23 Ruiyao Miao , Junren Xiao , Shiya Tsang , Hui Xiong , Yingnian Wu

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…

机器学习 · 计算机科学 2021-05-28 Juan Ungredda , Juergen Branke

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

机器学习 · 计算机科学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

The global optimization of a high-dimensional black-box function under black-box constraints is a pervasive task in machine learning, control, and engineering. These problems are challenging since the feasible set is typically non-convex…

机器学习 · 计算机科学 2021-03-02 David Eriksson , Matthias Poloczek

Bayesian optimization (BO) is an efficient and flexible global optimization framework that is applicable to a very wide range of engineering applications. To leverage the capability of the classical BO, many extensions, including…

机器学习 · 统计学 2021-09-01 Anh Tran , Mike Eldred , Scott McCann , Yan Wang

We consider the bound-constrained global optimization of functions with low effective dimensionality, that are constant along an (unknown) linear subspace and only vary over the effective (complement) subspace. We aim to implicitly explore…

最优化与控制 · 数学 2020-09-23 Coralia Cartis , Estelle Massart , Adilet Otemissov

Bayesian optimization methods have been successfully applied to black box optimization problems that are expensive to evaluate. In this paper, we adapt the so-called super effcient global optimization algorithm to solve more accurately…

机器学习 · 统计学 2020-06-30 Rémy Priem , Nathalie Bartoli , Youssef Diouane , Alessandro Sgueglia

Simulation optimization (SO) is frequently challenged by noisy evaluations, high computational costs, and complex, multimodal search landscapes. This paper introduces Tabu-Enhanced Simulation Optimization (TESO), a novel metaheuristic…

神经与进化计算 · 计算机科学 2026-01-01 Bulent Soykan , Sean Mondesire , Ghaith Rabadi

Bayesian optimization (BO) is an attractive machine learning framework for performing sample-efficient global optimization of black-box functions. The optimization process is guided by an acquisition function that selects points to acquire…

机器学习 · 计算机科学 2024-10-14 Felix Teufel , Carsten Stahlhut , Jesper Ferkinghoff-Borg