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math.NA2026
Generative diffusion learning for parametric partial differential equations
Ting Wang, Petr Plechac, Jaroslaw Knap
We develop a class of data-driven generative models that approximate the solution operator for parameter-dependent partial differential equations (PDE). We propose a novel probabil…
math.NA2024
Convergence rates for random feature neural network approximation in molecular dynamics
Xin Huang, Petr Plechac, Mattias Sandberg +1
Random feature neural network approximations of the potential in Hamiltonian systems yield approximations of molecular dynamics correlation observables that have the expected error…