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This article addresses the problem of derivative-free (single- or multi-objective) optimization subject to multiple inequality constraints. Both the objective and constraint functions are assumed to be smooth, non-linear and expensive to…

统计计算 · 统计学 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Many real-world functions are defined over both categorical and category-specific continuous variables and thus cannot be optimized by traditional Bayesian optimization (BO) methods. To optimize such functions, we propose a new method that…

机器学习 · 计算机科学 2019-12-02 Dang Nguyen , Sunil Gupta , Santu Rana , Alistair Shilton , Svetha Venkatesh

Research challenges encountered across science, engineering, and economics can frequently be formulated as optimization tasks. In chemistry and materials science, recent growth in laboratory digitization and automation has sparked interest…

Ensuring fairness in computational problems has emerged as a $key$ topic during recent years, buoyed by considerations for equitable resource distributions and social justice. It $is$ possible to incorporate fairness in computational…

计算复杂性 · 计算机科学 2023-05-02 Abolfazl Asudeh , Tanya Berger-Wolf , Bhaskar DasGupta , Anastasios Sidiropoulos

Bayesian optimization (BO) has gained attention as an efficient algorithm for black-box optimization of expensive-to-evaluate systems, where the BO algorithm iteratively queries the system and suggests new trials based on a probabilistic…

机器学习 · 计算机科学 2026-03-13 Eike Cramer , Luis Kutschat , Oliver Stollenwerk , Joel A. Paulson , Alexander Mitsos

Optimization problems with set-valued objective functions arise in contexts such as multi-stage optimization with vector-valued objectives. The aim is to identify an optimizer -- a feasible point with an optimal objective value -- based on…

最优化与控制 · 数学 2024-09-27 Andreas Löhne

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

机器学习 · 统计学 2018-10-11 Ricardo Baptista , Matthias Poloczek

Within the framework of complex system design, it is often necessary to solve mixed variable optimization problems, in which the objective and constraint functions can depend simultaneously on continuous and discrete variables.…

最优化与控制 · 数学 2020-03-10 Julien Pelamatti , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

神经与进化计算 · 计算机科学 2019-06-11 Hormoz Shahrzad , Daniel Fink , Risto Miikkulainen

Accelerator physics relies on numerical algorithms to solve optimization problems in online accelerator control and tasks such as experimental design and model calibration in simulations. The effectiveness of optimization algorithms in…

Bayesian optimization (BO) is a popular technique for sequential black-box function optimization, with applications including parameter tuning, robotics, environmental monitoring, and more. One of the most important challenges in BO is the…

机器学习 · 计算机科学 2018-03-29 Paul Rolland , Jonathan Scarlett , Ilija Bogunovic , Volkan Cevher

Bayesian optimisation (BO) algorithms have shown remarkable success in applications involving expensive black-box functions. Traditionally BO has been set as a sequential decision-making process which estimates the utility of query points…

机器学习 · 计算机科学 2022-10-25 Rafael Oliveira , Louis Tiao , Fabio Ramos

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

机器学习 · 计算机科学 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

This paper addresses the problem of constrained multi-objective optimization over black-box objective functions with practitioner-specified preferences over the objectives when a large fraction of the input space is infeasible (i.e.,…

机器学习 · 计算机科学 2023-03-24 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

In the last few years, the formulation of real-world optimization problems and their efficient solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In spite of decades of historical advancements on the…

The optimization of yields in multi-reactor systems, which are advanced tools in heterogeneous catalysis research, presents a significant challenge due to hierarchical technical constraints. To this respect, this work introduces a novel…

机器学习 · 计算机科学 2024-08-06 Markus Grimm , Sébastien Paul , Pierre Chainais

Bayesian optimization (BO) is a well-established method to optimize black-box functions whose direct evaluations are costly. In this paper, we tackle the problem of incorporating expert knowledge into BO, with the goal of further…

机器学习 · 计算机科学 2022-08-19 Daolang Huang , Louis Filstroff , Petrus Mikkola , Runkai Zheng , Samuel Kaski

Scientific experimentation is largely driven by statistical hypothesis testing to determine significant differences in interventions. Traditionally, experimenters allocate samples uniformly between each intervention. However, such an…

Learning for control can acquire controllers for novel robotic tasks, paving the path for autonomous agents. Such controllers can be expert-designed policies, which typically require tuning of parameters for each task scenario. In this…

机器人学 · 计算机科学 2020-08-20 Akshara Rai , Rika Antonova , Franziska Meier , Christopher G. Atkeson

We provide a method to solve optimization problem when objective function is a complex stochastic simulator of an urban transportation system. To reach this goal, a Bayesian optimization framework is introduced. We show how the choice of…

统计计算 · 统计学 2019-01-15 Laura Schultz , Vadim Sokolov