An Unsupervised Scientific Machine Learning Algorithm for Approximating Displacement of Object in Mass-Spring-Damper Systems

AK Sahoo, S Kumar, S Chakraverty - IEEE Access, 2024 - ieeexplore.ieee.org
Differential equations play a significant role in modeling of real world dynamical problems. A
large amount of prior physical information in the form of differential equations are inherited in …

Approximation error estimates by noise‐injected neural networks

K Akiyama - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
One‐hidden‐layer feedforward neural networks are described as functions having many
real‐valued parameters. Approximation properties of neural networks are established …