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This paper proposes a safe data-driven control framework for nonlinear systems with partially known dynamics. The method ensures stability and constraint satisfaction during online learning, assuming only a stabilizable linear approximation…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Stefano Tonini , Soroush Rastegarpour , Hamid Reza Feyzmahdavian , Nicola Bastianello , Karl Henrik Johansson

Manipulating deformable linear objects by robots has a wide range of applications, e.g., manufacturing and medical surgery. To complete such tasks, an accurate dynamics model for predicting the deformation is critical for robust control. In…

Robotics · Computer Science 2022-03-30 Changhao Wang , Yuyou Zhang , Xiang Zhang , Zheng Wu , Xinghao Zhu , Shiyu Jin , Te Tang , Masayoshi Tomizuka

The decreasing cost and improved sensor and monitoring system technology (e.g. fiber optics and strain gauges) have led to more measurements in close proximity to each other. When using such spatially dense measurement data in Bayesian…

Methodology · Statistics 2023-08-21 Ioannis Koune , Arpad Rozsas , Arthur Slobbe , Alice Cicirello

Gaussian process regression is widely used because of its ability to provide well-calibrated uncertainty estimates and handle small or sparse datasets. However, it struggles with high-dimensional data. One possible way to scale this…

Machine Learning · Statistics 2024-02-02 Bernardo Fichera , Viacheslav Borovitskiy , Andreas Krause , Aude Billard

In Hezaveh et al. 2017 we showed that deep learning can be used for model parameter estimation and trained convolutional neural networks to determine the parameters of strong gravitational lensing systems. Here we demonstrate a method for…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-29 Laurence Perreault Levasseur , Yashar D. Hezaveh , Risa H. Wechsler

We consider a graphical model where a multivariate normal vector is associated with each node of the underlying graph and estimate the graphical structure. We minimize a loss function obtained by regressing the vector at each node on those…

Machine Learning · Statistics 2017-09-19 Xingqi Du , Subhashis Ghosal

A method to reconstruct fields, source strengths and physical parameters based on Gaussian process regression is presented for the case where data are known to fulfill a given linear differential equation with localized sources. The…

Data Analysis, Statistics and Probability · Physics 2019-09-10 Christopher G. Albert

The automated localisation of damage in structures is a challenging but critical ingredient in the path towards predictive or condition-based maintenance of high value structures. The use of acoustic emission time of arrival mapping is a…

Machine Learning · Computer Science 2023-01-11 Matthew R Jones , Timothy J Rogers , Elizabeth J Cross

Gaussian process regression techniques have been used in fluid mechanics for the reconstruction of flow fields from a reduction-of-dimension perspective. A main ingredient in this setting is the construction of adapted covariance functions,…

Fluid Dynamics · Physics 2026-01-13 Adrian Padilla-Segarra , Pascal Noble , Olivier Roustant , Éric Savin

Parameter estimation is crucial for modeling, tracking, and control of complex dynamical systems. However, parameter uncertainties can compromise system performance under a controller relying on nominal parameter values. Typically,…

Robotics · Computer Science 2020-02-20 Mouhyemen Khan , Abhijit Chatterjee

This paper considers the problem of closed-loop identification of linear scalar systems with Gaussian process noise, where the system input is determined by a deterministic state feedback policy. The regularized least-square estimate (LSE)…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Ali Reza Pedram , Takashi Tanaka

The problem of detecting correlations from samples of a high-dimensional Gaussian vector has recently received a lot of attention. In most existing work, detection procedures are provided with a full sample. However, following common wisdom…

Statistics Theory · Mathematics 2014-10-24 Rui M. Castro , Gabor Lugosi , Pierre-André Savalle

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

Computation · Statistics 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

Wide-band cable models for the prediction of electromagnetic transients in power systems require the accurate calculation of the cable series impedance as function of frequency. A surface current approach was recently proposed for systems…

Computational Engineering, Finance, and Science · Computer Science 2016-06-29 Utkarsh R. Patel , Bjorn Gustavsen , Piero Triverio

Dynamic networks models describe a growing number of important scientific processes, from cell biology and epidemiology to sociology and finance. There are many aspects of dynamical networks that require statistical considerations. In this…

Methodology · Statistics 2012-05-15 E. C. Wit , A. Abbruzzo

The increasing penetration of intermittent distributed energy resources in power networks calls for novel planning and control methodologies which hinge on detailed knowledge of the grid. However, reliable information concerning the system…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Emanuele Fabbiani , Pulkit Nahata , Giuseppe De Nicolao , Giancarlo Ferrari-Trecate

Gaussian processes are powerful, yet analytically tractable models for supervised learning. A Gaussian process is characterized by a mean function and a covariance function (kernel), which are determined by a model selection criterion. The…

Machine Learning · Statistics 2016-10-05 Benjamin Fischer , Nico Gorbach , Stefan Bauer , Yatao Bian , Joachim M. Buhmann

Model-based control faces fundamental challenges in partially-observable environments due to unmodeled obstacles. We propose an online learning and optimization method to identify and avoid unobserved obstacles online. Our method,…

Robotics · Computer Science 2024-10-02 Abhinav Kumar , Peter Mitrano , Dmitry Berenson

Quantitative structure-activity relationship (QSAR) modelling is widely employed in materials science to predict properties of interest and extract useful descriptors for measured properties. In thermal barrier coatings (TBC), QSAR can…

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

Machine Learning · Statistics 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai