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Active learning is a subfield of machine learning that is devised for design and modeling of systems with highly expensive sampling costs. Industrial and engineering systems are generally subject to physics constraints that may induce fatal…

Machine Learning · Statistics 2023-04-19 Cheolhei Lee , Xing Wang , Jianguo Wu , Xiaowei Yue

In engineering design, one often wishes to calculate the probability that the performance of a system is satisfactory under uncertainty. State of the art algorithms exist to solve this problem using active learning with Gaussian process…

Machine Learning · Computer Science 2022-11-03 Jonathan Sadeghi , Romain Mueller , John Redford

State-space models have been successfully used for more than fifty years in different areas of science and engineering. We present a procedure for efficient variational Bayesian learning of nonlinear state-space models based on sparse…

Machine Learning · Computer Science 2014-11-04 Roger Frigola , Yutian Chen , Carl E. Rasmussen

Emerging wearable sensors have enabled the unprecedented ability to continuously monitor human activities for healthcare purposes. However, with so many ambient sensors collecting different measurements, it becomes important not only to…

Machine Learning · Computer Science 2019-01-09 Randy Ardywibowo , Guang Zhao , Zhangyang Wang , Bobak Mortazavi , Shuai Huang , Xiaoning Qian

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

Modelling robot dynamics accurately is essential for control, motion optimisation and safe human-robot collaboration. Given the complexity of modern robotic systems, dynamics modelling remains non-trivial, mostly in the presence of…

Robotics · Computer Science 2022-05-11 David Jorge , Gabriella Pizzuto , Michael Mistry

A popular strategy for active learning is to specifically target a reduction in epistemic uncertainty, since aleatoric uncertainty is often considered as being intrinsic to the system of interest and therefore not reducible. Yet,…

Methodology · Statistics 2024-12-12 Jake Thomas , Jeremie Houssineau

Machine learning interatomic force fields are promising for combining high computational efficiency and accuracy in modeling quantum interactions and simulating atomistic dynamics. Active learning methods have been recently developed to…

Computational Physics · Physics 2023-03-07 Yu Xie , Jonathan Vandermause , Senja Ramakers , Nakib H. Protik , Anders Johansson , Boris Kozinsky

Micro-gestures are subtle and transient movements triggered by unconscious neural and emotional activities, holding great potential for human-computer interaction and clinical monitoring. However, their low amplitude, short duration, and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Weijia Feng , Jingyu Yang , Ruojia Zhang , Fengtao Sun , Qian Gao , Chenyang Wang , Tongtong Su , Jia Guo , Xiaobai Li , Minglai Shao

Modern aerospace guidance systems demand rigorous constraint satisfaction, optimal performance, and computational efficiency. Traditional analytical methods struggle to simultaneously satisfy these requirements. While data driven methods…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Han Wang , Donghe Chen , Tengjie Zheng , Lin Cheng , Shengping Gong

Gaussian processes allow for flexible specification of prior assumptions of unknown dynamics in state space models. We present a procedure for efficient Bayesian learning in Gaussian process state space models, where the representation is…

Computation · Statistics 2016-04-18 Andreas Svensson , Arno Solin , Simo Särkkä , Thomas B. Schön

Machine learning models are widely regarded as a way forward to tackle multi-query challenges that arise once expensive black-box simulations such as computational fluid dynamics are investigated. However, ensuring the desired level of…

Machine Learning · Computer Science 2026-01-30 Jigar Parekh , Philipp Bekemeyer

In recent years, active subspace methods (ASMs) have become a popular means of performing subspace sensitivity analysis on black-box functions. Naively applied, however, ASMs require gradient evaluations of the target function. In the event…

Machine Learning · Statistics 2020-09-22 Nathan Wycoff , Mickael Binois , Stefan M. Wild

In many control system applications, state constraint satisfaction needs to be guaranteed within a prescribed time. While this issue has been partially addressed for systems with known dynamics, it remains largely unaddressed for systems…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Tzu-Yuan Huang , Sihua Zhang , Xiaobing Dai , Alexandre Capone , Velimir Todorovski , Stefan Sosnowski , Sandra Hirche

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

Machine Learning · Statistics 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

Gaussian processes are widely used for accurate emulation of unknown surfaces in sequential design of expensive simulation experiments. Integrated mean squared error (IMSE) is an effective acquisition function for sequential designs based…

Statistics Theory · Mathematics 2026-04-23 Huanyan Zhu , Cheng Li

A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

Methodology · Statistics 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

This paper addresses the problem of active learning of a multi-output Gaussian process (MOGP) model representing multiple types of coexisting correlated environmental phenomena. In contrast to existing works, our active learning problem…

Machine Learning · Statistics 2015-11-25 Yehong Zhang , Trong Nghia Hoang , Kian Hsiang Low , Mohan Kankanhalli

Running a reliability analysis on engineering problems involving complex numerical models can be computationally very expensive, requiring advanced simulation methods to reduce the overall numerical cost. Gaussian process based active…

Machine Learning · Statistics 2020-12-01 Morgane Menz , Sylvain Dubreuil , Jérôme Morio , Christian Gogu , Nathalie Bartoli , Marie Chiron

We consider the active learning problem where the goal is to learn an unknown function with low prediction error under an unknown Boltzmann distribution induced by the function itself. This self-induced weighting arises naturally in…

Machine Learning · Computer Science 2026-05-12 Jixiang Qing , Henry Moss , Matthias Sachs