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Related papers: Active Learning for Gaussian Process Regression Un…

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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

Gaussian process regression (GPR) or kernel ridge regression is a widely used and powerful tool for nonlinear prediction. Therefore, active learning (AL) for GPR, which actively collects data labels to achieve an accurate prediction with…

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

It is desirable to have accurate uncertainty estimation from a single deterministic forward-pass model, as traditional methods for uncertainty quantification are computationally expensive. However, this is difficult because single…

Machine Learning · Computer Science 2023-08-22 Frederik Boe Hüttel , Filipe Rodrigues , Francisco Câmara Pereira

Active learning emerged as an alternative to alleviate the effort to label huge amount of data for data hungry applications (such as image/video indexing and retrieval, autonomous driving, etc.). The goal of active learning is to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Minghan Li , Xialei Liu , Joost van de Weijer , Bogdan Raducanu

Active learning is usually applied to acquire labels of informative data points in supervised learning, to maximize accuracy in a sample-efficient way. However, maximizing the accuracy is not the end goal when the results are used for…

Machine Learning · Statistics 2021-10-22 Louis Filstroff , Iiris Sundin , Petrus Mikkola , Aleksei Tiulpin , Juuso Kylmäoja , Samuel Kaski

The bias-variance trade-off is a well-known problem in machine learning that only gets more pronounced the less available data there is. In active learning, where labeled data is scarce or difficult to obtain, neglecting this trade-off can…

Active learning methods for neural networks are usually based on greedy criteria which ultimately give a single new design point for the evaluation. Such an approach requires either some heuristics to sample a batch of design points at one…

Machine Learning · Computer Science 2020-01-28 Evgenii Tsymbalov , Sergei Makarychev , Alexander Shapeev , Maxim Panov

Multi-output regression problems are commonly encountered in science and engineering. In particular, multi-output Gaussian processes have been emerged as a promising tool for modeling these complex systems since they can exploit the…

Machine Learning · Computer Science 2022-03-29 Cen-You Li , Barbara Rakitsch , Christoph Zimmer

This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a…

Machine Learning · Statistics 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

The theoretical investigation of gas adsorption, storage, separation, diffusion and related transport processes in porous materials relies on a detailed knowledge of the potential energy surface of molecules in a stationary environment. In…

Chemical Physics · Physics 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser

In this paper, we propose a novel sequential data-driven method for dealing with equilibrium based chemical simulations, which can be seen as a specific machine learning approach called active learning. The underlying idea of our approach…

Machine Learning · Statistics 2024-01-26 Mary Savino , Céline Lévy-Leduc , Marc Leconte , Benoit Cochepin

We propose an active learning method for discovering low-dimensional structure in high-dimensional Gaussian process (GP) tasks. Such problems are increasingly frequent and important, but have hitherto presented severe practical…

Machine Learning · Statistics 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

In missions constrained by finite resources, efficient data collection is critical. Informative path planning, driven by automated decision-making, optimizes exploration by reducing the costs associated with accurate characterization of a…

Robotics · Computer Science 2024-11-04 Sapphira Akins , Hans Mertens , Frances Zhu

Gaussian graphical regression is a powerful means that regresses the precision matrix of a Gaussian graphical model on covariates, permitting the numbers of the response variables and covariates to far exceed the sample size. Model fitting…

Methodology · Statistics 2022-05-24 Jingfei Zhang , Yi Li

Transferring knowledge across tasks to improve data-efficiency is one of the open key challenges in the field of global black-box optimization. Readily available algorithms are typically designed to be universal optimizers and, therefore,…

Through sequential construction of posteriors on observing data online, Bayes' theorem provides a natural framework for continual learning. We develop Variational Auto-Regressive Gaussian Processes (VAR-GPs), a principled posterior updating…

Machine Learning · Statistics 2021-06-15 Sanyam Kapoor , Theofanis Karaletsos , Thang D. Bui

We investigate the use of derivative information for Batch Active Learning in Gaussian Process regression models. The proposed approach employs the predictive covariance matrix for selection of data batches to exploit full correlation of…

Machine Learning · Computer Science 2024-08-06 Hon Sum Alec Yu , Christoph Zimmer , Duy Nguyen-Tuong

Estimation of the response probability distributions of computer simulators in the presence of randomness is a crucial task in many fields. However, achieving this task with guaranteed accuracy remains an open computational challenge,…

Computation · Statistics 2024-09-04 Chao Dang , Marcos A. Valdebenito , Nataly A. Manque , Jun Xu , Matthias G. R. Faes

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