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Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

机器学习 · 计算机科学 2026-05-07 Jesse Schneider , William J. Welch

We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential)…

A high fidelity fluid-structure interaction simulation may require many days to run, on hundreds of cores. This poses a serious burden, both in terms of time and economic considerations, when repetitions of such simulations may be required…

计算工程、金融与科学 · 计算机科学 2021-04-12 Wensi Wu , Christophe Bonneville , Christopher J. Earls

In practice, the parameters of control policies are often tuned manually. This is time-consuming and frustrating. Reinforcement learning is a promising alternative that aims to automate this process, yet often requires too many experiments…

Approximate Bayesian Computation (ABC) methods often require extensive simulations, resulting in high computational costs. This paper focuses on multifidelity simulation models and proposes a pre-filtering hierarchical importance sampling…

统计计算 · 统计学 2026-02-03 Xuefei Cao , Shijia Wang , Yongdao Zhou

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

机器学习 · 计算机科学 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

In a standard setting of Bayesian optimization (BO), the objective function evaluation is assumed to be highly expensive. Multi-fidelity Bayesian optimization (MFBO) accelerates BO by incorporating lower fidelity observations available with…

Control algorithms such as model predictive control (MPC) and state estimators rely on a number of different parameters. The performance of the closed loop usually depends on the correct setting of these parameters. Tuning is often done…

系统与控制 · 电气工程与系统科学 2020-10-15 David Stenger , Muzaffer Ay , Dirk Abel

Bayesian optimization (BO) is a popular framework to optimize black-box functions. In many applications, the objective function can be evaluated at multiple fidelities to enable a trade-off between the cost and accuracy. To reduce the…

机器学习 · 计算机科学 2020-12-11 Shibo Li , Wei Xing , Mike Kirby , Shandian Zhe

Validating the behavior of autonomous Cyber-Physical Systems (CPS) and Artificial Intelligence (AI) agents, which rely on automated controllers, is an objective of great importance. In recent years, Neural-Network (NN) controllers have been…

机器人学 · 计算机科学 2024-12-25 Khen Elimelech , Morteza Lahijanian , Lydia E. Kavraki , Moshe Y. Vardi

Simulators often require calibration inputs estimated from real world data and the quality of the estimate can significantly affect simulation output. Particularly when performing simulation optimisation to find an optimal solution, the…

机器学习 · 计算机科学 2020-06-02 Juan Ungredda , Michael Pearce , Juergen Branke

Bayesian optimization is a popular framework for the optimization of black box functions. Multifidelity methods allows to accelerate Bayesian optimization by exploiting low-fidelity representations of expensive objective functions. Popular…

机器学习 · 计算机科学 2024-07-08 Francesco Di Fiore , Laura Mainini

In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying evaluation costs and varying fidelities. Typically, a…

数值分析 · 数学 2018-06-29 Benjamin Peherstorfer , Karen Willcox , Max Gunzburger

Tuning control policies manually to meet high-level objectives is often time-consuming. Bayesian optimization provides a data-efficient framework for automating this process using numerical evaluations of an objective function. However,…

机器学习 · 计算机科学 2026-03-26 Lukas Theiner , Maik Pfefferkorn , Yongpeng Zhao , Sebastian Hirt , Rolf Findeisen

Linear programming is widely used for decision-making in science, engineering, and operations research, yet in many modern applications the coefficients entering the constraints and objective are not known exactly and must be learned from…

其他统计学 · 统计学 2026-03-09 Debashis Chatterjee

This paper presents an efficient multi-fidelity Bayesian optimization approach for analog circuit synthesis. The proposed method can significantly reduce the overall computational cost by fusing the simple but potentially inaccurate…

系统与控制 · 电气工程与系统科学 2019-12-03 Shuhan Zhang , Wenlong Lyu , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng , Xiangdong Hu

The vast majority of stochastic simulation models are imperfect in that they fail to exactly emulate real system dynamics. The inexactness of the simulation model, or model discrepancy, can impact the predictive accuracy and usefulness of…

统计方法学 · 统计学 2017-07-21 Matthew Plumlee , Henry Lam

Simulators are an important tool in robotics that is used to develop robot software and generate synthetic data for machine learning algorithms. Faster simulation can result in better software validation and larger amounts of data. Previous…

We present a framework for the efficient computation of optimal Bayesian decisions under intractable likelihoods, by learning a surrogate model for the expected utility (or its distribution) as a function of the action and data spaces. We…

机器学习 · 统计学 2023-11-13 Justin Alsing , Thomas D. P. Edwards , Benjamin Wandelt

This article deals with the sequential design of experiments for (deterministic or stochastic) multi-fidelity numerical simulators, that is, simulators that offer control over the accuracy of simulation of the physical phenomenon or system…