arxivcs.LGmath.NAmath.ST2026-07-04
PIEFS: Physics-Informed Eigenfunction Features with Learnable Scaling
Varvara Nazarenko, Timur Lidzhiev, Alexander Tarakanov
Spectral methods are widely used to construct representations from the geometry of data, but they often rely on a fixed kernel, graph Laplacian, or manually selected feature scaling. We propose Physics-Informed Eigenfunction Features with Learnable Scaling (PIEFS), a supervised n…