Constraining the parameters of high-dimensional models with active learning

Abstract Constraining the parameters of physical models with $$>5-10$$ >5-10 parameters is a widespread problem in fields like particle physics and astronomy. The generation of data to explore this parameter space often requires large amounts of computational resources. The commonly used solut...

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Main Authors: Sascha Caron, Tom Heskes, Sydney Otten, Bob Stienen
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7437-5
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author Sascha Caron
Tom Heskes
Sydney Otten
Bob Stienen
author_facet Sascha Caron
Tom Heskes
Sydney Otten
Bob Stienen
author_sort Sascha Caron
collection DOAJ
description Abstract Constraining the parameters of physical models with $$>5-10$$ >5-10 parameters is a widespread problem in fields like particle physics and astronomy. The generation of data to explore this parameter space often requires large amounts of computational resources. The commonly used solution of reducing the number of relevant physical parameters hampers the generality of the results. In this paper we show that this problem can be alleviated by the use of active learning. We illustrate this with examples from high energy physics, a field where simulations are often expensive and parameter spaces are high-dimensional. We show that the active learning techniques query-by-committee and query-by-dropout-committee allow for the identification of model points in interesting regions of high-dimensional parameter spaces (e.g. around decision boundaries). This makes it possible to constrain model parameters more efficiently than is currently done with the most common sampling algorithms and to train better performing machine learning models on the same amount of data. Code implementing the experiments in this paper can be found on GitHub
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spelling doaj.art-429c0d17b124447ca206bf462afa33062022-12-21T22:44:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-11-01791111110.1140/epjc/s10052-019-7437-5Constraining the parameters of high-dimensional models with active learningSascha Caron0Tom Heskes1Sydney Otten2Bob Stienen3Institute for Mathematics, Astro- and Particle Physics IMAPP, Radboud UniversiteitData Science Institute for Computing and Information Sciences (iCIS), Radboud UniversiteitInstitute for Mathematics, Astro- and Particle Physics IMAPP, Radboud UniversiteitInstitute for Mathematics, Astro- and Particle Physics IMAPP, Radboud UniversiteitAbstract Constraining the parameters of physical models with $$>5-10$$ >5-10 parameters is a widespread problem in fields like particle physics and astronomy. The generation of data to explore this parameter space often requires large amounts of computational resources. The commonly used solution of reducing the number of relevant physical parameters hampers the generality of the results. In this paper we show that this problem can be alleviated by the use of active learning. We illustrate this with examples from high energy physics, a field where simulations are often expensive and parameter spaces are high-dimensional. We show that the active learning techniques query-by-committee and query-by-dropout-committee allow for the identification of model points in interesting regions of high-dimensional parameter spaces (e.g. around decision boundaries). This makes it possible to constrain model parameters more efficiently than is currently done with the most common sampling algorithms and to train better performing machine learning models on the same amount of data. Code implementing the experiments in this paper can be found on GitHubhttp://link.springer.com/article/10.1140/epjc/s10052-019-7437-5
spellingShingle Sascha Caron
Tom Heskes
Sydney Otten
Bob Stienen
Constraining the parameters of high-dimensional models with active learning
European Physical Journal C: Particles and Fields
title Constraining the parameters of high-dimensional models with active learning
title_full Constraining the parameters of high-dimensional models with active learning
title_fullStr Constraining the parameters of high-dimensional models with active learning
title_full_unstemmed Constraining the parameters of high-dimensional models with active learning
title_short Constraining the parameters of high-dimensional models with active learning
title_sort constraining the parameters of high dimensional models with active learning
url http://link.springer.com/article/10.1140/epjc/s10052-019-7437-5
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