Enhancing Computational Efficiency in Multiscale Systems Using Deep Learning of Coordinates and Flow Maps

A Hamid, D Rafiq, SA Nahvi, MA Bazaz - arxiv preprint arxiv:2407.00011, 2024 - arxiv.org
Complex systems often show macroscopic coherent behavior due to the interactions of
microscopic agents like molecules, cells, or individuals in a population with their …

Learning the Exact Time Integration Algorithm for Initial Value Problems by Randomized Neural Networks

S Dong, N Ni - arxiv preprint arxiv:2502.10949, 2025 - arxiv.org
We present a method leveraging extreme learning machine (ELM) type randomized neural
networks (NNs) for learning the exact time integration algorithm for initial value problems …