Intrinsic Dimensionality of Fermi-Pasta-Ulam-Tsingou High-Dimensional Trajectories Through Manifold Learning: A Linear Approach

Gionni Marchetti

A data-driven approach based on unsupervised machine learning is proposed to infer the intrinsic dimension $m^{\ast }$ of the high-dimensional trajectories of the Fermi-Pasta-Ulam-T…