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Paper · arXiv

Synthics: Synthetic Physics-like Datasets for Machine Learning

Representative data is fundamental in machine learning, as limited data hinders generalisation. Collecting sufficient real-world samples is often infeasible. Synthetic data generation offers a practical solution, but only if the generated data faithfully reflects the structure of real observations. In this paper, a method for generating synthetic regression datasets that structurally resemble physics equations from a given equation corpus is presented. The approach uses a Bayesian Probabilistic Context-Free Grammar to capture the underlying algebraic structure of the corpus, from which novel equations are sampled. To ensure the generated inputs lie within a physically meaningful domain, t...

AuthorsJari Vepsäläinen
Primary categorycs.LG
Published4 June 2026
Last updated at source4 June 2026
cs.LG
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