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math.NA2026
Random Neural Network Expressivity for Non-Linear Partial Differential Equations
Muhammed Ali Mehmood, Lukas Gonon
Neural networks with randomly generated hidden weights (RaNNs) have been extensively studied, both as a standalone learning method and as an initialization for fully trainable deep…
math.AP2026
Microscopic derivation of a one-dimensional lubrication model with roughness
Aline Lefebvre-Lepot, Muhammed Ali Mehmood, Charlotte Perrin +1
We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion…