References:
AI Feynman
Udrescu, Silviu-Marian, and Max Tegmark. "AI Feynman: A physics-inspired method for symbolic regression." Science Advances 6.16 (2020): eaay2631.
PySR
Delgado, Ana Maria, et al. "Modeling the galaxy–halo connection with machine learning." Monthly Notices of the Royal Astronomical Society 515.2 (2022): 2733-2746.
Lemos, Pablo, et al. "Rediscovering orbital mechanics with machine learning." arXiv preprint arXiv:2202.02306 (2022).
Butter, Anja, et al. "Back to the formula—LHC edition." arXiv preprint arXiv:2109.10414 (2021).
Craven, Jessica, Vishnu Jejjala, and Arjun Kar. "Disentangling a deep learned volume formula." Journal of High Energy Physics 2021.6 (2021): 1-40.
Cranmer, Miles, et al. "Discovering symbolic models from deep learning with inductive biases." Advances in Neural Information Processing Systems 33 (2020): 17429-17442.
Bayesian Machine Scientist
Fajardo-Fontiveros, Oscar, et al. "Fundamental limits to learning closed-form mathematical models from data." Nature Communications 14.1 (2023): 1043.
Vázquez, Daniel, et al. "Automatic modeling of socioeconomic drivers of energy consumption and pollution using Bayesian symbolic regression." Sustainable Production and Consumption 30 (2022): 596-607.
Artime, Oriol, and Manlio De Domenico. "Percolation on feature-enriched interconnected systems." Nature communications 12.1 (2021): 2478.
Guimerà, Roger, et al. "A Bayesian machine scientist to aid in the solution of challenging scientific problems." Science advances 6.5 (2020): eaav6971.
Sparse Regression
Zanna, Laure, and Thomas Bolton. "Data‐driven equation discovery of ocean mesoscale closures." Geophysical Research Letters 47.17 (2020): e2020GL088376.
Brunton, Steven L., Joshua L. Proctor, and J. Nathan Kutz. "Discovering governing equations from data by sparse identification of nonlinear dynamical systems." Proceedings of the national academy of sciences 113.15 (2016): 3932-3937.
Eureqa
Chen, Boyuan, et al. "Discovering state variables hidden in experimental data." arXiv preprint arXiv:2112.10755 (2021).
Schmidt, Michael, and Hod Lipson. "Distilling free-form natural laws from experimental data." science 324.5923 (2009): 81-85.
BACON
Langley, Pat. "Rediscovering physics with BACON. 3." IJCAI. Vol. 6. 1979.
Langley, Pat. "BACON: A Production System That Discovers Empirical Laws." IJCAI. 1977.
