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We present an approach for satisfying state constraints in systems with nonparametric uncertainty by estimating this uncertainty with a real-time-update Gaussian process (GP) model. Notably, new data is incorporated into the model in real…

系统与控制 · 电气工程与系统科学 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg

This paper develops a Bayesian optimal experimental design for robot kinematic calibration on ${\mathbb{S}^3 \!\times\! \mathbb{R}^3}$. Our method builds upon a Gaussian process approach that incorporates a geometry-aware kernel based on…

机器人学 · 计算机科学 2025-03-06 Ersin Das , Thomas Touma , Joel W. Burdick

Safety is of paramount importance in control systems to avoid costly risks and catastrophic damages. The control barrier function (CBF) method, a promising solution for safety-critical control, poses a new challenge of enhancing control…

系统与控制 · 电气工程与系统科学 2025-03-26 Shengbo Wang , Ke Li , Zheng Yan , Zhenyuan Guo , Song Zhu , Guanghui Wen , Shiping Wen

Bearing-based distributed formation control is attractive because it can be implemented using vision-based measurements to achieve a desired formation. Gradient-descent-based controllers using bearing measurements have been shown to have…

系统与控制 · 电气工程与系统科学 2022-03-25 Zili Wang , Sean B. Andersson , Roberto Tron

High-dimensional optimization is a critical challenge for operating large-scale scientific facilities. We apply a physics-informed Gaussian process (GP) optimizer to tune a complex system by conducting efficient global search. Typical GP…

计算物理 · 物理学 2021-07-14 Adi Hanuka , X. Huang , J. Shtalenkova , D. Kennedy , A. Edelen , V. R. Lalchand , D. Ratner , J. Duris

Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

机器学习 · 统计学 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

Optimization of cyclic stochastic heat engines, a topic spanning decades of research, commonly assumes fixed control or response parameters at discrete points in the cycle-a limitation that often leads to experimentally impractical…

统计力学 · 物理学 2025-07-02 Monojit Chatterjee , Viktor Holubec , Rahul Marathe

Accelerated discovery in materials science demands autonomous systems capable of dynamically formulating and solving design problems. In this work, we introduce a novel framework that leverages Bayesian optimization over a problem…

系统与控制 · 电气工程与系统科学 2025-02-11 Danial Khatamsaz , Joseph Wagner , Brent Vela , Raymundo Arroyave , Douglas L. Allaire

In many product development problems, the performance of the product is governed by two types of parameters called design parameter and environmental parameter. While the former is fully controllable, the latter varies depending on the…

机器学习 · 统计学 2020-06-23 Shogo Iwazaki , Yu Inatsu , Ichiro Takeuchi

Controller tuning and parameter optimization are crucial in system design to improve both the controller and underlying system performance. Bayesian optimization has been established as an efficient model-free method for controller tuning…

系统与控制 · 电气工程与系统科学 2023-06-26 Christopher Koenig , Miks Ozols , Anastasia Makarova , Efe C. Balta , Andreas Krause , Alisa Rupenyan

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

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

With a Bayesian Gaussian regression approach, a systematic method for analyzing a storage ring's beam position monitor (BPM) system requirements has been developed. The ultimate performance of a ring-based accelerator, based on brightness…

加速器物理 · 物理学 2019-07-15 Yongjun Li , Yue Hao , Weixing Cheng , Robert Rainer

Bayesian Optimization (BO) methods are useful for optimizing functions that are expen- sive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

机器学习 · 统计学 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

Automatic controller tuning is attractive for robotics and mechatronic systems whose dynamics are difficult to model accurately, but direct black-box optimization can be unsafe because each query is executed on the physical plant. Existing…

机器人学 · 计算机科学 2026-05-15 Hongxuan Wang , Xiaocong Li , Lihao Zheng , Adrish Bhaumik , Prahlad Vadakkepat

Model selection aims to find the best model in terms of accuracy, interpretability or simplicity, preferably all at once. In this work, we focus on evaluating model performance of Gaussian process models, i.e. finding a metric that provides…

机器学习 · 计算机科学 2024-03-15 Andreas Besginow , Jan David Hüwel , Thomas Pawellek , Christian Beecks , Markus Lange-Hegermann

Gaussian Process (GP) regression is a powerful nonparametric Bayesian framework, but its performance depends critically on the choice of covariance kernel. Selecting an appropriate kernel is therefore central to model quality, yet remains…

机器学习 · 计算机科学 2026-01-14 Md Shafiqul Islam , Shakti Prasad Padhy , Douglas Allaire , Raymundo Arróyave

The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

Kernel-based nonparametric models have become very attractive for model-based control approaches for nonlinear systems. However, the selection of the kernel and its hyperparameters strongly influences the quality of the learned model.…

系统与控制 · 电气工程与系统科学 2019-09-13 Thomas Beckers , Somil Bansal , Claire J. Tomlin , Sandra Hirche

The identification of the constrained dynamics of mechanical systems is often challenging. Learning methods promise to ease an analytical analysis, but require considerable amounts of data for training. We propose to combine insights from…

机器学习 · 计算机科学 2020-09-16 A. Rene Geist , Sebastian Trimpe