3 papers
cs.LG2025
Ensemble based Closed-Loop Optimal Control using Physics-Informed Neural Networks
Jostein Barry-Straume, Adwait D. Verulkar, Arash Sarshar +2
The objective of designing a control system is to steer a dynamical system with a control signal, guiding it to exhibit the desired behavior. The Hamilton-Jacobi-Bellman (HJB) part…
cs.CE2024
Improving the Adaptive Moment Estimation (ADAM) stochastic optimizer through an Implicit-Explicit (IMEX) time-stepping approach
Abhinab Bhattacharjee, Andrey A. Popov, Arash Sarshar +1
The Adam optimizer, often used in Machine Learning for neural network training, corresponds to an underlying ordinary differential equation (ODE) in the limit of very small learnin…
math.NA2019
Alternating Directions Implicit Integration in a General Linear Method Framework
Arash Sarshar, Steven Roberts, Adrian Sandu
Alternating Directions Implicit (ADI) integration is an operator splitting approach to solve parabolic and elliptic partial differential equations in multiple dimensions based on s…