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Multiscale problems are widely observed across diverse domains in physics and engineering. Translating these problems into numerical simulations and solving them using numerical schemes, e.g. the finite element method, is costly due to the…

We study online control for continuous-time linear systems with finite sampling rates, where the objective is to design an online procedure that learns under non-stochastic noise and performs comparably to a fixed optimal linear controller.…

最优化与控制 · 数学 2025-06-10 Jingwei Li , Jing Dong , Can Chang , Baoxiang Wang , Jingzhao Zhang

Bayesian Optimization is a popular approach for optimizing expensive black-box functions. Its key idea is to use a surrogate model to approximate the objective and, importantly, quantify the associated uncertainty that allows a sequential…

机器学习 · 统计学 2025-02-05 Haoxian Chen , Henry Lam

The vision of personalized medicine is to identify interventions that maintain or restore a person's health based on their individual biology. Medical digital twins, computational models that integrate a wide range of health-related data…

定量方法 · 定量生物学 2025-10-21 Luis L. Fonseca , Lucas Böttcher , Borna Mehrad , Reinhard C. Laubenbacher

Explainability of black-box machine learning models is crucial, in particular when deployed in critical applications such as medicine or autonomous cars. Existing approaches produce explanations for the predictions of models, however, how…

机器学习 · 计算机科学 2021-11-18 Jonas Schulz , Rafael Poyiadzi , Raul Santos-Rodriguez

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

机器学习 · 统计学 2018-10-30 Dimitris Bertsimas , Christopher McCord

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

最优化与控制 · 数学 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

最优化与控制 · 数学 2022-07-27 Francesco Micheli , John Lygeros

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

最优化与控制 · 数学 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

Control of nonlinear uncertain systems is a common challenge in the robotics field. Nonlinear latent force models, which incorporate latent uncertainty characterized as Gaussian processes, carry the promise of representing such systems…

机器人学 · 计算机科学 2022-07-29 Thomas Woodruff , Iman Askari , Guanghui Wang , Huazhen Fang

High-Performance Computing (HPC) schedulers must balance user performance with facility-wide resource constraints. The task boils down to selecting the optimal number of nodes for a given job. We present a surrogate-assisted multi-objective…

机器学习 · 计算机科学 2026-01-23 Ashna Nawar Ahmed , Banooqa Banday , Terry Jones , Tanzima Z. Islam

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

机器学习 · 统计学 2019-01-16 Yibo Yang , Paris Perdikaris

We consider control of uncertain linear time-varying stochastic systems from the perspective of regret minimization. Specifically, we focus on the problem of designing a feedback controller that minimizes the loss relative to a clairvoyant…

系统与控制 · 电气工程与系统科学 2024-07-04 Andrea Martin , Luca Furieri , Florian Dörfler , John Lygeros , Giancarlo Ferrari-Trecate

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

最优化与控制 · 数学 2018-03-29 Omid Nohadani , Kartikey Sharma

We present a data-driven optimal control framework that can be viewed as a generalization of the path integral (PI) control approach. We find iterative feedback control laws without parameterization based on probabilistic representation of…

系统与控制 · 计算机科学 2016-02-02 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

Machine learning (ML) surrogate models are increasingly used in engineering analysis and design to replace computationally expensive simulation models, significantly reducing computational cost and accelerating decision-making processes.…

机器学习 · 统计学 2025-07-22 Xiaoping Du

A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to…

系统与控制 · 电气工程与系统科学 2024-01-01 Hoang Tien Nguyen , Young-Jin Kim , Dae-Hyun Choi

Motivated by a computer model calibration problem from the oil and gas industry, involving the design of a honeycomb seal, we develop a new Bayesian methodology to cope with limitations in the canonical apparatus stemming from several…

统计方法学 · 统计学 2019-07-19 Jiangeng Huang , Robert B. Gramacy , Mickael Binois , Mirko Libraschi

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

机器学习 · 计算机科学 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

We consider the problem of offline black-box optimization, where the goal is to discover optimal designs (e.g., molecules or materials) from past experimental data. A key challenge in this setting is data scarcity: in many scientific…

机器学习 · 计算机科学 2026-05-22 Azza Fadhel , The Hung Tran , Trong Nghia Hoang , Jana Doppa