AI Feynman: A physics-inspired method for symbolic regression. Udrescu, S. & Tegmark, M. Science Advances, 6(16):eaay2631, April, 2020. Publisher: American Association for the Advancement of Science Section: Research Article
Paper doi abstract bibtex A core challenge for both physics and artificial intelligence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of practical interest often exhibit symmetries, separability, compositionality, and other simplifying properties. In this spirit, we develop a recursive multidimensional symbolic regression algorithm that combines neural network fitting with a suite of physics-inspired techniques. We apply it to 100 equations from the Feynman Lectures on Physics, and it discovers all of them, while previous publicly available software cracks only 71; for a more difficult physics-based test set, we improve the state-of-the-art success rate from 15 to 90%. Our physics-inspired algorithm for symbolic regression is able to discover complex physics equations from mere tables of numbers. Our physics-inspired algorithm for symbolic regression is able to discover complex physics equations from mere tables of numbers.
@article{udrescu2020,
title = {{AI} {Feynman}: {A} physics-inspired method for symbolic regression},
volume = {6},
copyright = {Copyright © 2020 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).. This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial license, which permits use, distribution, and reproduction in any medium, so long as the resultant use is not for commercial advantage and provided the original work is properly cited.},
issn = {2375-2548},
shorttitle = {{AI} {Feynman}},
url = {https://advances.sciencemag.org/content/6/16/eaay2631},
doi = {10.1126/sciadv.aay2631},
abstract = {A core challenge for both physics and artificial intelligence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of practical interest often exhibit symmetries, separability, compositionality, and other simplifying properties. In this spirit, we develop a recursive multidimensional symbolic regression algorithm that combines neural network fitting with a suite of physics-inspired techniques. We apply it to 100 equations from the Feynman Lectures on Physics, and it discovers all of them, while previous publicly available software cracks only 71; for a more difficult physics-based test set, we improve the state-of-the-art success rate from 15 to 90\%.
Our physics-inspired algorithm for symbolic regression is able to discover complex physics equations from mere tables of numbers.
Our physics-inspired algorithm for symbolic regression is able to discover complex physics equations from mere tables of numbers.},
language = {en},
number = {16},
urldate = {2020-04-23},
journal = {Science Advances},
author = {Udrescu, Silviu-Marian and Tegmark, Max},
month = apr,
year = {2020},
note = {Publisher: American Association for the Advancement of Science
Section: Research Article},
keywords = {david, neuroblox: scientific ML},
pages = {eaay2631},
file = {Full Text PDF:/Users/lcneuro/Zotero/storage/D3IWBJCH/Udrescu and Tegmark - 2020 - AI Feynman A physics-inspired method for symbolic.pdf:application/pdf;Snapshot:/Users/lcneuro/Zotero/storage/4LPC9RAD/eaay2631.html:text/html},
}
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