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cond-mat.stat-mech2026
Beyond Explained Variance: A Cautionary Tale of PCA
Gionni Marchetti
We address shortcomings of principal component analysis (PCA) for visualizing high-dimensional data lying on a nonlinear low-dimensional manifold via two-dimensional scatterplots,…
cond-mat.stat-mech2026
Learning the Intrinsic Dimensionality of Fermi-Pasta-Ulam-Tsingou Trajectories: A Nonlinear Approach using a Deep Autoencoder Model
Gionni Marchetti
We address the intrinsic dimensionality (ID) of high-dimensional trajectories, comprising data points, of the Fermi-Pasta-Ulam-Tsingou (FPUT) model with $N…