3 papers
cs.GR2026
PINNsur: Physics-Informed Neural Networks for PDEs on Curved Surfaces
Pranav Jain, Navami Kairanda, Peter Yichen Chen +1
Partial differential equations (PDEs) on surfaces are fundamental to scientific computing and geometry processing. A popular approach to solving PDEs on surfaces is the finite elem…
math.OC2026
Stratified adaptive sampling for derivative-free stochastic trust-region optimization
Giovanni Amici, Sara Shashaani, Pranav Jain
There is emerging evidence that trust-region (TR) algorithms are very effective at solving derivative-free nonconvex stochastic optimization problems in which the objective functio…
stat.ME2024
Simulation Model Calibration with Dynamic Stratification and Adaptive Sampling
Pranav Jain, Sara Shashaani, Eunshin Byon
Calibrating simulation models that take large quantities of multi-dimensional data as input is a hard simulation optimization problem. Existing adaptive sampling strategies offer a…