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The purpose of this paper is twofold. On one side, we present a general framework for Bayesian optimization and we compare it with some related fields in active learning and Bayesian numerical analysis. On the other hand, Bayesian…

机器人学 · 计算机科学 2018-02-13 Ruben Martinez-Cantin

We introduce kernel-QA, a black-box optimization (BBO) method that constructs surrogate models analytically using low-order polynomial kernels within a quadratic unconstrained binary optimization (QUBO) framework, enabling efficient…

最优化与控制 · 数学 2025-11-07 Yuki Minamoto , Yuya Sakamoto

Bayesian optimization has emerged at the forefront of expensive black-box optimization due to its data efficiency. Recent years have witnessed a proliferation of studies on the development of new Bayesian optimization algorithms and their…

机器学习 · 计算机科学 2022-11-14 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

Optimizing expensive black-box systems with limited data is an extremely challenging problem. As a resolution, we present a new surrogate optimization approach by addressing two gaps in prior research -- unimportant input variables and…

最优化与控制 · 数学 2021-09-10 Hadis Anahideh , Jay Rosenberger , Victoria Chen

The selection of the most appropriate algorithm to solve a given problem instance, known as algorithm selection, is driven by the potential to capitalize on the complementary performance of different algorithms across sets of problem…

机器学习 · 计算机科学 2024-06-12 Gjorgjina Cenikj , Ana Nikolikj , Gašper Petelin , Niki van Stein , Carola Doerr , Tome Eftimov

In black-box combinatorial optimization, objective evaluations are often expensive, so high quality solutions must be found under a limited budget. Factorization machine with quantum annealing (FMQA) builds a quadratic surrogate model from…

机器学习 · 计算机科学 2026-02-11 Tetsuro Abe , Masashi Yamashita , Shu Tanaka

Many real-world black-box optimization problems have multiple conflicting objectives. Rather than attempting to approximate the entire set of Pareto-optimal solutions, interactive preference learning allows to focus the search on the most…

机器学习 · 计算机科学 2026-01-15 Hanyang Wang , Juergen Branke , Matthias Poloczek

Decades of progress in simulation-based surrogate-assisted optimization and unprecedented growth in computational power have enabled researchers and practitioners to optimize previously intractable complex engineering problems. This paper…

神经与进化计算 · 计算机科学 2022-12-14 Qi Huang , Roy de Winter , Bas van Stein , Thomas Bäck , Anna V. Kononova

Bayesian optimization (BO) is well known to be sample-efficient for solving black-box problems. However, the BO algorithms can sometimes get stuck in suboptimal solutions even with plenty of samples. Intrinsically, such suboptimal problem…

机器学习 · 计算机科学 2025-01-24 Zhendong Guo , Yew-Soon Ong , Tiantian He , Haitao Liu

The core challenge of high-dimensional and expensive black-box optimization (BBO) is how to obtain better performance faster with little function evaluation cost. The essence of the problem is how to design an efficient optimization…

机器学习 · 计算机科学 2023-07-26 Xiaobin Li , Kai Wu , Xiaoyu Zhang , Handing Wang , Jing Liu

Offline optimization has recently emerged as an increasingly popular approach to mitigate the prohibitively expensive cost of online experimentation. The key idea is to learn a surrogate of the black-box function that underlines the target…

机器学习 · 计算机科学 2025-03-07 Manh Cuong Dao , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang

In this paper, we study the performance of IPOP-saACM-ES, recently proposed self-adaptive surrogate-assisted Covariance Matrix Adaptation Evolution Strategy. The algorithm was tested using restarts till a total number of function…

神经与进化计算 · 计算机科学 2012-06-06 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag

Bayesian optimization is an effective method for finding extrema of a black-box function. We propose a new type of Bayesian optimization for learning user preferences in high-dimensional spaces. The central assumption is that the underlying…

机器学习 · 统计学 2020-08-17 Petrus Mikkola , Milica Todorović , Jari Järvi , Patrick Rinke , Samuel Kaski

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

Bayesian Optimization using Gaussian Processes is a popular approach to deal with the optimization of expensive black-box functions. However, because of the a priori on the stationarity of the covariance matrix of classic Gaussian…

机器学习 · 统计学 2019-05-10 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

神经与进化计算 · 计算机科学 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

This paper proposes novel noise-free Bayesian optimization strategies that rely on a random exploration step to enhance the accuracy of Gaussian process surrogate models. The new algorithms retain the ease of implementation of the classical…

机器学习 · 计算机科学 2024-07-18 Hwanwoo Kim , Daniel Sanz-Alonso

We introduce and study various algorithms for solving nonconvex minimization with inequality constraints, based on the construction of convex surrogate envelopes that majorize the objective and the constraints. In the case where the…

最优化与控制 · 数学 2025-06-11 Nuozhou Wang , Junyu Zhang , Shuzhong Zhang

Discrete optimization belongs to the set of $\mathcal{NP}$-hard problems, spanning fields such as mixed-integer programming and combinatorial optimization. A current standard approach to solving convex discrete optimization problems is the…