Learning <i>Effective Good</i> Variables from Physical Data
We assume that a sufficiently large database is available, where a physical property of interest and a number of associated ruling primitive variables or observables are stored. We introduce and test two machine learning approaches to discover possible groups or combinations of primitive variables,...
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MDPI AG
2024-07-01
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| Series: | Machine Learning and Knowledge Extraction |
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| Online Access: | https://www.mdpi.com/2504-4990/6/3/77 |
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| author | Giulio Barletta Giovanni Trezza Eliodoro Chiavazzo |
| author_facet | Giulio Barletta Giovanni Trezza Eliodoro Chiavazzo |
| author_sort | Giulio Barletta |
| collection | DOAJ |
| description | We assume that a sufficiently large database is available, where a physical property of interest and a number of associated ruling primitive variables or observables are stored. We introduce and test two machine learning approaches to discover possible groups or combinations of primitive variables, regardless of data origin, being it numerical or experimental: the first approach is based on regression models, whereas the second on classification models. The variable group (here referred to as the new effective good variable) can be considered as successfully found when the physical property of interest is characterized by the following effective invariant behavior: in the first method, invariance of the group implies invariance of the property up to a given accuracy; in the other method, upon partition of the physical property values into two or more classes, invariance of the group implies invariance of the class. For the sake of illustration, the two methods are successfully applied to two popular empirical correlations describing the convective heat transfer phenomenon and to the Newton’s law of universal gravitation. |
| format | Article |
| id | doaj-art-d981eb6008bc4d589cb2f0a76dd849fa |
| institution | OA Journals |
| issn | 2504-4990 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machine Learning and Knowledge Extraction |
| spelling | doaj-art-d981eb6008bc4d589cb2f0a76dd849fa2025-08-20T01:55:38ZengMDPI AGMachine Learning and Knowledge Extraction2504-49902024-07-01631597161810.3390/make6030077Learning <i>Effective Good</i> Variables from Physical DataGiulio Barletta0Giovanni Trezza1Eliodoro Chiavazzo2Department of Energy, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, ItalyDepartment of Energy, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, ItalyDepartment of Energy, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, ItalyWe assume that a sufficiently large database is available, where a physical property of interest and a number of associated ruling primitive variables or observables are stored. We introduce and test two machine learning approaches to discover possible groups or combinations of primitive variables, regardless of data origin, being it numerical or experimental: the first approach is based on regression models, whereas the second on classification models. The variable group (here referred to as the new effective good variable) can be considered as successfully found when the physical property of interest is characterized by the following effective invariant behavior: in the first method, invariance of the group implies invariance of the property up to a given accuracy; in the other method, upon partition of the physical property values into two or more classes, invariance of the group implies invariance of the class. For the sake of illustration, the two methods are successfully applied to two popular empirical correlations describing the convective heat transfer phenomenon and to the Newton’s law of universal gravitation.https://www.mdpi.com/2504-4990/6/3/77machine learning in physicsprimitive variable analysisphysical property invariancefeature grouping |
| spellingShingle | Giulio Barletta Giovanni Trezza Eliodoro Chiavazzo Learning <i>Effective Good</i> Variables from Physical Data Machine Learning and Knowledge Extraction machine learning in physics primitive variable analysis physical property invariance feature grouping |
| title | Learning <i>Effective Good</i> Variables from Physical Data |
| title_full | Learning <i>Effective Good</i> Variables from Physical Data |
| title_fullStr | Learning <i>Effective Good</i> Variables from Physical Data |
| title_full_unstemmed | Learning <i>Effective Good</i> Variables from Physical Data |
| title_short | Learning <i>Effective Good</i> Variables from Physical Data |
| title_sort | learning i effective good i variables from physical data |
| topic | machine learning in physics primitive variable analysis physical property invariance feature grouping |
| url | https://www.mdpi.com/2504-4990/6/3/77 |
| work_keys_str_mv | AT giuliobarletta learningieffectivegoodivariablesfromphysicaldata AT giovannitrezza learningieffectivegoodivariablesfromphysicaldata AT eliodorochiavazzo learningieffectivegoodivariablesfromphysicaldata |