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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…

Computational Physics · Physics 2021-07-14 Adi Hanuka , X. Huang , J. Shtalenkova , D. Kennedy , A. Edelen , V. R. Lalchand , D. Ratner , J. Duris

Direct design of a robot's rendered dynamics, such as in impedance control, is now a well-established control mode in uncertain environments. When the physical interaction port variables are not measured directly, dynamic and kinematic…

Robotics · Computer Science 2024-12-20 Kevin Haninger , Masayoshi Tomizuka

Gaussian processes (GPs) provide a principled Bayesian framework for uncertainty estimation, but their computational complexity severely limits scalability to large datasets. We propose SIKA-GP, which accelerates GP inference using sparse…

Machine Learning · Computer Science 2026-05-27 Wenyuan Zhao , Rui Tuo , Chao Tian

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

Advances in hyperspectral imaging modes including electron energy loss spectroscopy (EELS) in scanning transmission electron microscopy (STEM) bring forth the challenges of exploratory and subsequently physics-based analysis of…

Computational Physics · Physics 2020-05-22 Sergei V. Kalinin , Andrew R. Lupini , Rama K. Vasudevan , Maxim Ziatdinov

An inference method for Gaussian process augmented state-space models are presented. This class of grey-box models enables domain knowledge to be incorporated in the inference process to guarantee a minimum of performance, still they are…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Anton Kullberg , Isaac Skog , Gustaf Hendeby

Physical modeling is critical for many modern science and engineering applications. From a data science or machine learning perspective, where more domain-agnostic, data-driven models are pervasive, physical knowledge -- often expressed as…

Machine Learning · Computer Science 2022-07-22 Da Long , Zheng Wang , Aditi Krishnapriyan , Robert Kirby , Shandian Zhe , Michael Mahoney

Operating effectively in novel real-world environments requires robotic systems to estimate and interact with previously unseen objects. Current state-of-the-art models address this challenge by using large amounts of training data and…

Robotics · Computer Science 2026-02-06 Octavio Arriaga , Proneet Sharma , Jichen Guo , Marc Otto , Siddhant Kadwe , Rebecca Adam

The predictive functions that permit humans to infer their body state by sensorimotor integration are critical to perform safe interaction in complex environments. These functions are adaptive and robust to non-linear actuators and noisy…

Robotics · Computer Science 2019-10-24 Pablo Lanillos , Gordon Cheng

This paper introduces a computationally efficient algorithm in system theory for solving inverse problems governed by linear partial differential equations (PDEs). We model solutions of linear PDEs using Gaussian processes with priors…

Machine Learning · Statistics 2025-06-16 Xin Li , Markus Lange-Hegermann , Bogdan Raiţă

Embedding non-restrictive prior knowledge, such as energy conservation laws, into learning methods is a key motive to construct physically consistent dynamics models from limited data, relevant for, e.g., model-based control. Recent work…

Machine Learning · Computer Science 2026-04-16 Jan-Hendrik Ewering , Robin E. Herrmann , Niklas Wahlström , Thomas B. Schön , Thomas Seel

Gaussian processes (GPs) are widely used in nonparametric regression, classification and spatio-temporal modeling, motivated in part by a rich literature on theoretical properties. However, a well known drawback of GPs that limits their use…

Methodology · Statistics 2011-06-29 Anjishnu Banerjee , David Dunson , Surya Tokdar

Assistive robotics and particularly robot coaches may be very helpful for rehabilitation healthcare. In this context, we propose a method based on Gaussian Process Latent Variable Model (GP-LVM) to transfer knowledge between a…

Robotics · Computer Science 2021-11-04 Maxime Devanne , Sao Mai Nguyen

We assess Gaussian process (GP) regression as a technique to model interatomic forces in metal nanoclusters by analysing the performance of 2-body, 3-body and many-body kernel functions on a set of 19-atom Ni cluster structures. We find…

Computational Physics · Physics 2018-07-11 Claudio Zeni , Kevin Rossi , Aldo Glielmo , Ádám Fekete , Nicola Gaston , Francesca Baletto , Alessandro De Vita

Belonging to the family of Bayesian nonparametrics, Gaussian process (GP) based approaches have well-documented merits not only in learning over a rich class of nonlinear functions, but also in quantifying the associated uncertainty.…

Machine Learning · Statistics 2021-10-14 Qin Lu , Georgios V. Karanikolas , Georgios B. Giannakis

Gaussian process (GP) bandits provide a powerful framework for performing blackbox optimization of unknown functions. The characteristics of the unknown function depend heavily on the assumed GP prior. Most work in the literature assume…

Machine Learning · Computer Science 2026-03-13 Jack Sandberg , Morteza Haghir Chehreghani

The paper addresses the problem of passivation of a class of nonlinear systems where the dynamics are unknown. For this purpose, we use the highly flexible, data-driven Gaussian process regression for the identification of the unknown…

Systems and Control · Computer Science 2018-11-19 Thomas Beckers , Sandra Hirche

Kernel selection plays a central role in determining the performance of Gaussian Process (GP) models, as the chosen kernel determines both the inductive biases and prior support of functions under the GP prior. This work addresses the…

Machine Learning · Statistics 2021-11-22 Fergus Simpson , Ian Davies , Vidhi Lalchand , Alessandro Vullo , Nicolas Durrande , Carl Rasmussen

Digital technologies can be used to gather accurate information about the behavior of structural components for improving systems design, as well as for enabling advanced Structural Health Monitoring strategies. New avenues for achieving…

Applications · Statistics 2023-06-29 Silvia Vettori , Emilio Di Lorenzo , Bart Peeters , Eleni Chatzi

In this paper we address the problem of detecting differences or anomalies in a dynamical system, based on historical data of nominal operations. This problem encompasses quality control, where newly manufactured systems are tested against…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Alejandro Penacho Riveiros , Nicola Bastianello , Matthieu Barreau