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
AI Feynman: A physics-inspired method for symbolic regression [link]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},
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}

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