Symbolic Regression
Symbolic regression (SR) is a machine learning technique aiming to discover concise, interpretable mathematical expressions that accurately model data. Current research emphasizes improving the efficiency and accuracy of SR algorithms, such as genetic programming and newer approaches incorporating neural networks and large language models, often focusing on techniques to handle noisy data and limited datasets. These advancements are significantly impacting scientific fields like materials science and physics by enabling the discovery of underlying physical laws and the development of more accurate and interpretable models for complex systems. The resulting interpretable models enhance scientific understanding and facilitate more efficient data analysis across various disciplines.
Papers
Symbolic Regression in Materials Science: Discovering Interatomic Potentials from Data
Bogdan Burlacu, Michael Kommenda, Gabriel Kronberger, Stephan Winkler, Michael Affenzeller
Symbolic Regression for Space Applications: Differentiable Cartesian Genetic Programming Powered by Multi-objective Memetic Algorithms
Marcus Märtens, Dario Izzo
Correlation versus RMSE Loss Functions in Symbolic Regression Tasks
Nathan Haut, Wolfgang Banzhaf, Bill Punch
SymFormer: End-to-end symbolic regression using transformer-based architecture
Martin Vastl, Jonáš Kulhánek, Jiří Kubalík, Erik Derner, Robert Babuška
GSR: A Generalized Symbolic Regression Approach
Tony Tohme, Dehong Liu, Kamal Youcef-Toumi