Mohsen Mostafa

ORCID: 0009-0004-4478-0317 · 1 paper in corpus · active 2026

2026

Geometric Physics-Aware Gradient Descent (GPAGD): A Lightweight Optimizer Integrating Manifold Geometry, PDE Residuals and Local Uncertainty

·doi:10.20944/preprints202604.0964.v1

Standard gradient descent optimizers treat the parameter space as Euclidean and ignore the underlying geometry of data or the physical constraints that solutions must satisfy. This paper introduces Geometric Physics Aware Gradient Descent (…