2 papers
math.OC2026
PINNs in PDE Constrained Optimal Control Problems: Direct vs Indirect Methods
Zhen Zhang, Shanqing Liu, Alessandro Alla +2
We study physics-informed neural networks (PINNs) as numerical tools for the optimal control of semilinear partial differential equations. We first recall the classical direct and…
cs.LG2026
Discovery of interaction and diffusion kernels in particle-to-mean-field multi-agent systems
Giacomo Albi, Alessandro Alla, Elisa Calzola
We propose a data-driven framework to learn interaction kernels in stochastic multi-agent systems. Our approach aims at identifying the functional form of nonlocal interaction and…