Kartikey Singh

On Parameter Decoupling, Conditioning, and Interface Transmission in Multi-Objective Physics-Informed Neural Networks

PREPRINT / MANUSCRIPT UNDER SUBMISSIONTarget Venue: Journal of Computational Physics (JCP, Elsevier) KEY THEORETICAL & EMPIRICAL HIGHLIGHTS• Spatial Basis Localization vs. Parameter Decoupling: In controlled capacity-matched benchmarks ($\sim 9.2\mathrm{k}\text{--}10.4\mathrm{k}$...

On Parameter Decoupling, Conditioning, and Interface Transmission in Multi-Objective Physics-Informed Neural Networks

Multi-objective formulations in Physics-Informed Neural Networks (PINNs) routinely exhibit severe gradient conflict between boundary constraints, interface transmission conditions, and interior differential residuals. While heuristic gradient surgery and dynamic loss weighting ar...