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Multi-Objective Optimization (MOO) is very difficult for expensive functions because most current MOO methods rely on a large number of function evaluations to get an accurate solution. We address this problem with surrogate approximation…

神经与进化计算 · 计算机科学 2019-03-07 Taimoor Akhtar , Christine A. Shoemaker

Bayesian optimization is an effective method for solving expensive black-box optimization problems. Most existing methods use Gaussian processes (GP) as the surrogate model for approximating the black-box objective function, it is…

机器学习 · 计算机科学 2025-12-23 Wei Peng , Jianchen Hu , Kang Liu , Qiaozhu Zhai

A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

最优化与控制 · 数学 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen

Bayesian optimization has become a popular method for high-throughput computing, like the design of computer experiments or hyperparameter tuning of expensive models, where sample efficiency is mandatory. In these applications, distributed…

机器学习 · 计算机科学 2019-07-08 Javier Garcia-Barcos , Ruben Martinez-Cantin

In Bayesian optimization (BO) for expensive black-box optimization tasks, acquisition function (AF) guides sequential sampling and plays a pivotal role for efficient convergence to better optima. Prevailing AFs usually rely on artificial…

机器学习 · 计算机科学 2022-10-04 Zijing Liu , Xiyao Qu , Xuejun Liu , Hongqiang Lyu

We propose a multi-swarm approach to approximate the Pareto front of general multi-objective optimization problems that is based on the Consensus-based Optimization method (CBO). The algorithm is motivated step by step beginning with a…

最优化与控制 · 数学 2022-11-30 Kathrin Klamroth , Michael Stiglmayr , Claudia Totzeck

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…

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

最优化与控制 · 数学 2013-10-03 Victor Picheny

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

人工智能 · 计算机科学 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

机器学习 · 统计学 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

Bayesian optimization (BO) is a powerful approach for optimizing black-box, expensive-to-evaluate functions. To enable a flexible trade-off between the cost and accuracy, many applications allow the function to be evaluated at different…

机器学习 · 计算机科学 2021-10-27 Shibo Li , Robert M. Kirby , Shandian Zhe

Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a…

Field experiments and computer simulations are effective but time-consuming methods of measuring the quality of engineered systems at different settings. To reduce the total time required, experimenters may employ Bayesian optimization,…

机器学习 · 计算机科学 2024-04-30 Jiuge Ren , David Sweet

Bayesian quadrature optimization (BQO) maximizes the expectation of an expensive black-box integrand taken over a known probability distribution. In this work, we study BQO under distributional uncertainty in which the underlying…

机器学习 · 计算机科学 2020-01-22 Thanh Tang Nguyen , Sunil Gupta , Huong Ha , Santu Rana , Svetha Venkatesh

Optimistic methods have been applied with success to single-objective optimization. Here, we attempt to bridge the gap between optimistic methods and multi-objective optimization. In particular, this paper is concerned with solving…

最优化与控制 · 数学 2016-12-28 Abdullah Al-Dujaili , S. Suresh

This paper presents a novel approach to top-$k$ ranking Bayesian optimization (top-$k$ ranking BO) which is a practical and significant generalization of preferential BO to handle top-$k$ ranking and tie/indifference observations. We first…

机器学习 · 计算机科学 2020-12-22 Quoc Phong Nguyen , Sebastian Tay , Bryan Kian Hsiang Low , Patrick Jaillet

We define very large-scale multiobjective optimization problems as optimizing multiple objectives (VLSMOPs) with more than 100,000 decision variables. These problems hold substantial significance, given the ubiquity of real-world scenarios…

神经与进化计算 · 计算机科学 2024-04-09 Haokai Hong , Min Jiang , Qiuzhen Lin , Kay Chen Tan

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

机器学习 · 计算机科学 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

In large domains, Monte-Carlo tree search (MCTS) is required to estimate the values of the states as efficiently and accurately as possible. However, the standard update rule in backpropagation assumes a stationary distribution for the…

机器学习 · 计算机科学 2020-01-28 Yueqin Li , Nengli Lim

In evolutionary algorithms, a preselection operator aims to select the promising offspring solutions from a candidate offspring set. It is usually based on the estimated or real objective values of the candidate offspring solutions. In a…

神经与进化计算 · 计算机科学 2017-08-04 Jinyuan Zhang , Aimin Zhou , Ke Tang , Guixu Zhang