2 papers
cs.LG2022
An Introduction to Kernel and Operator Learning Methods for Homogenization by Self-consistent Clustering Analysis
Owen Huang, Sourav Saha, Jiachen Guo +1
Recent advances in operator learning theory have improved our knowledge about learning maps between infinite dimensional spaces. However, for large-scale engineering problems such…
math.NA2022
Deep Learning Discrete Calculus (DLDC): A Family of Discrete Numerical Methods by Universal Approximation for STEM Education to Frontier Research
Sourav Saha, Chanwook Park, Stefan Knapik +3
The article proposes formulating and codifying a set of applied numerical methods, coined as Deep Learning Discrete Calculus (DLDC), that uses the knowledge from discrete numerical…