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Interpreting machine learning functions as physical observables

Gert Aarts Orcid Logo, Dimitrios Bachtis, Biagio Lucini Orcid Logo

Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021), Volume: 396

Swansea University Authors: Gert Aarts Orcid Logo, Dimitrios Bachtis, Biagio Lucini Orcid Logo

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DOI (Published version): 10.22323/1.396.0248

Abstract

We propose to interpret machine learning functions as physical observables, opening up the possibility to apply “standard” statistical-mechanical methods to outputs from neural networks. This includes histogram reweighting and finite-size scaling, to analyse phase transitions quantitatively. In addi...

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Published in: Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
ISSN: 1824-8039
Published: Trieste, Italy Sissa Medialab 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa60430
first_indexed 2022-07-08T19:39:18Z
last_indexed 2023-01-13T19:20:33Z
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spelling 2022-07-11T14:47:56.6363101 v2 60430 2022-07-08 Interpreting machine learning functions as physical observables 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 91a311a58d3f8badc779f0ffa6d0ca3d Dimitrios Bachtis Dimitrios Bachtis true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2022-07-08 BGPS We propose to interpret machine learning functions as physical observables, opening up the possibility to apply “standard” statistical-mechanical methods to outputs from neural networks. This includes histogram reweighting and finite-size scaling, to analyse phase transitions quantitatively. In addition we incorporate predictive functions as conjugate variables coupled to an external field within the Hamiltonian of a system, allowing to induce order-disorder phase transitions in a novel manner. A noteworthy feature of this approach is that no knowledge of the symmetries in the Hamiltonian is required. Conference Paper/Proceeding/Abstract Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) 396 Sissa Medialab Trieste, Italy 1824-8039 8 7 2022 2022-07-08 10.22323/1.396.0248 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Another institution paid the OA fee ERC, STFC. Leverhulme Foundation, Royal Society, ERDF 813942, WM170010 , RF-2020-461\9, ST/T000813/1 2022-07-11T14:47:56.6363101 2022-07-08T20:18:27.9284067 College of Science College of Science Gert Aarts 0000-0002-6038-3782 1 Dimitrios Bachtis 2 Biagio Lucini 0000-0001-8974-8266 3 60430__24521__93aada50fb404b3fa03a3c2b494d3266.pdf LATTICE2021_248.pdf 2022-07-08T20:38:39.9898009 Output 953582 application/pdf Version of Record true © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0) true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Interpreting machine learning functions as physical observables
spellingShingle Interpreting machine learning functions as physical observables
Gert Aarts
Dimitrios Bachtis
Biagio Lucini
title_short Interpreting machine learning functions as physical observables
title_full Interpreting machine learning functions as physical observables
title_fullStr Interpreting machine learning functions as physical observables
title_full_unstemmed Interpreting machine learning functions as physical observables
title_sort Interpreting machine learning functions as physical observables
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
91a311a58d3f8badc779f0ffa6d0ca3d
7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
91a311a58d3f8badc779f0ffa6d0ca3d_***_Dimitrios Bachtis
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Gert Aarts
Dimitrios Bachtis
Biagio Lucini
author2 Gert Aarts
Dimitrios Bachtis
Biagio Lucini
format Conference Paper/Proceeding/Abstract
container_title Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
container_volume 396
publishDate 2022
institution Swansea University
issn 1824-8039
doi_str_mv 10.22323/1.396.0248
publisher Sissa Medialab
college_str College of Science
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hierarchy_parent_title College of Science
department_str College of Science{{{_:::_}}}College of Science{{{_:::_}}}College of Science
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description We propose to interpret machine learning functions as physical observables, opening up the possibility to apply “standard” statistical-mechanical methods to outputs from neural networks. This includes histogram reweighting and finite-size scaling, to analyse phase transitions quantitatively. In addition we incorporate predictive functions as conjugate variables coupled to an external field within the Hamiltonian of a system, allowing to induce order-disorder phase transitions in a novel manner. A noteworthy feature of this approach is that no knowledge of the symmetries in the Hamiltonian is required.
published_date 2022-07-08T02:29:37Z
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score 11.04748

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