2 papers
math.OC2024
Learning solutions to some toy constrained optimization problems in infinite dimensional Hilbert spaces
Pinak Mandal
In this work we present deep learning implementations of two popular theoretical constrained optimization algorithms in infinite dimensional Hilbert spaces, namely, the penalty and…
math.AP2024
Solving Fokker-Planck equations using the zeros of Fokker-Planck operators and the Feynman-Kac formula
Pinak Mandal, Amit Apte
First we show that physics-informed neural networks are not suitable for a large class of parabolic partial differential equations including the Fokker-Planck equation. Then we dev…