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Stochastic optimization finds a wide range of applications in operations research and management science. However, existing stochastic optimization techniques usually require the information of random samples (e.g., demands in the…

最优化与控制 · 数学 2019-04-18 Xi Chen , Qihang Lin , Zizhuo Wang

In recent years, leveraging parallel and distributed computational resources has become essential to solve problems of high computational cost. Bayesian optimization (BO) has shown attractive results in those expensive-to-evaluate problems…

机器学习 · 统计学 2020-06-25 Masahiro Nomura

1. Challenging calibration of complex models can be approached by using prior knowledge on the parameters. However, the natural choice of Bayesian inference can be computationally heavy when relying on Markov Chain Monte Carlo (MCMC)…

应用统计 · 统计学 2023-04-27 Charlotte Baey , Henrik G. Smith , Maj Rundlöf , Ola Olsson , Yann Clough , Ullrika Sahlin

The Bayesian Optimisation Algorithm (BOA) is an Estimation of Distribution Algorithm (EDA) that uses a Bayesian network as probabilistic graphical model (PGM). Determining the optimal Bayesian network structure given a solution sample is an…

Coarse-grained (CG) force field models are extensively utilised in material simulations due to their scalability. Traditionally, these models are parameterized using hybrid strategies that integrate top-down and bottom-up approaches;…

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

机器学习 · 计算机科学 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

The present study aimed to solve the cure optimization problem of laminated composites through a statistical approach. The approach consisted of using constrained Bayesian Optimization (cBO) along with a Gaussian process model as a…

应用统计 · 统计学 2025-06-02 Madhura Limaye , Yezhuo Li , Qiong Zhang , Gang Li

Recent advancements in video generation have enabled the creation of high-quality, visually compelling videos. However, generating videos that adhere to the laws of physics remains a critical challenge for applications requiring realism and…

计算机视觉与模式识别 · 计算机科学 2025-08-15 Harold Haodong Chen , Haojian Huang , Qifeng Chen , Harry Yang , Ser-Nam Lim

Bayesian optimization (BO) for high-dimensional constrained problems remains a significant challenge due to the curse of dimensionality. We propose Local Constrained Bayesian Optimization (LCBO), a novel framework tailored for such…

机器学习 · 统计学 2026-03-10 Jing Jingzhe , Fan Zheyi , Szu Hui Ng , Qingpei Hu

Consensus-based optimization (CBO) is a versatile multi-particle metaheuristic optimization method suitable for performing nonconvex and nonsmooth global optimizations in high dimensions. It has proven effective in various applications…

最优化与控制 · 数学 2026-05-12 Massimo Fornasier , Peter Richtárik , Konstantin Riedl , Lukang Sun

When it comes to expensive black-box optimization problems, Bayesian Optimization (BO) is a well-known and powerful solution. Many real-world applications involve a large number of dimensions, hence scaling BO to high dimension is of much…

机器学习 · 统计学 2024-12-18 Lam Ngo , Huong Ha , Jeffrey Chan , Hongyu Zhang

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

统计方法学 · 统计学 2019-02-08 Fangzheng Xie , Yanxun Xu

This study investigates the application of Bayesian Optimization (BO) for the hyperparameter tuning of neural networks, specifically targeting the enhancement of Convolutional Neural Networks (CNN) for image classification tasks. Bayesian…

机器学习 · 计算机科学 2024-10-30 Gabriele Onorato

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

机器人学 · 计算机科学 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Physics-informed dynamical system models form critical components of digital twins of the built environment. These digital twins enable the design of energy-efficient infrastructure, but must be properly calibrated to accurately reflect…

机器学习 · 计算机科学 2021-06-30 Ankush Chakrabarty , Gordon Wichern , Christopher Laughman

This study aims to optimize meal planning for nutritional health and cost efficiency using linear programming. Linear optimization provides an effective framework for addressing the problem of an optimal diet, as the composition of food can…

数值分析 · 数学 2025-01-09 Utkarsh Prajapati , Tanushree Jain , Abhishek Machiraju , Divyam Kaushik

Assortment optimization refers to the problem of designing a slate of products to offer potential customers, such as stocking the shelves in a convenience store. The price of each product is fixed in advance, and a probabilistic choice…

计算机科学与博弈论 · 计算机科学 2017-11-09 Nicole Immorlica , Brendan Lucier , Jieming Mao , Vasilis Syrgkanis , Christos Tzamos

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

机器学习 · 计算机科学 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Parallel coordinate plots (PCPs) are a prevalent method to interpret the relationship between the control parameters and metrics. PCPs deliver such an interpretation by color gradation based on a single metric. However, it is challenging to…

人机交互 · 计算机科学 2025-07-08 Chisa Mori , Shuhei Watanabe , Masaki Onishi , Takayuki Itoh