Author

Fabio Anselmi

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Preprint Jul 2026

The Dynamics of Discoverability: How Trajectories and Priors Shape Equation Recovery

How the dynamical regime of the observed system affects equation discovery has mainly been investigated through comparisons across systems. However, such comparisons vary both the equations and the dynamics, confounding the effect of the regime with the difficulty of recovering the equations symbolically. We separate t...

Matteo D. Gallo, Fabio Anselmi, Paolo Lazzari · 2 citations

Jul 2026

Attractor Geometry Determines the Identifiability Limits of System Discovery

Symbolic discovery of governing equations from data is limited not only by algorithm design and data volume, but by the geometry of the attractor: what the long-run dynamics allow to be recovered. Using a within-system design on Lorenz-84, where one forcing parameter drives fixed-point, limit-cycle, and chaotic regimes...

Matteo Gallo, Fabio Anselmi, Paolo Lazzari · arXiv.org · 2 citations

Jul 2026

PAC-Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors

It is shown that PAC--Bayesian analysis should be performed on the quotient predictor space: pushing a prior and posterior to the quotient preserves the empirical and population Gibbs risks while removing the nonnegative KL contribution caused solely by how the two distributions differ among parameterizations of the sa...

Nicola Aladrah, Fabio Anselmi · arXiv.org · 0 citations