constrained neural networks 1integro-differential equations 1kernel discovery 1neural operators 1symbolic regression 1
From the 1 of 2 linked papers with an AI index.
2 papers
cs.LG2026
Neural Discovery of Memory and Nonlocal Kernels in Integro-Differential Equations with Constrained Kolmogorov--Arnold Networks
Aruzhan Tleubek, Salah A Faroughi
The paper introduces a differentiable solver framework that uses constrained Kolmogorov–Arnold Networks to learn memory and nonlocal kernels of integro-differential equations from…
cs.LG2025
MINPO: Memory-Informed Neural Pseudo-Operator to Resolve Nonlocal Spatiotemporal Dynamics
Farinaz Mostajeran, Aruzhan Tleubek, Salah A Faroughi
Many physical systems exhibit nonlocal spatiotemporal behaviors described by integro-differential equations (IDEs). Classical methods for solving IDEs require repeatedly evaluating…