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nlin.PS2025
Machine Learning of Nonlinear Waves: Data-Driven Methods for Computer-Assisted Discovery of Equations, Symmetries, Conservation Laws, and Integrability
Jimmie Adriazola, Panayotis G. Kevrekidis, Vassilis Koukouloyannis +1
The purpose of this article is to provide a perspective---admittedly, a rather subjective one---of recent developments at the interface of machine learning (ML)/data-driven methods…
nlin.SI2025
Computer Assisted Discovery of Integrability via SILO: Sparse Identification of Lax Operators
Jimmie Adriazola, Wei Zhu, Panayotis Kevrekidis +1
We formulate the discovery of Lax integrability of Hamiltonian dynamical systems as a symbolic regression problem, which, loosely speaking, seeks to maximize the compatibility betw…