Exponential time differencing for matrix-valued dynamical systems

arXiv:2406.13761 · math.NA, cs.LG, cs.NA, math.OC · Submitted 2024-06-19 · Read on arXiv

math.NA, cs.LG, cs.NA, math.OC

Submitted: 2024-06-19

Updated: 2026-02-11

Terminology

• Data Assimilation — 1× in this paper · explained in 2 episodes

Sources

• Projected exponential methods for stiff dynamical low-rank approximation problems
• Graph Neural Ordinary Differential Equations

Related papers

• Do physics-informed neural networks (PINNs) need to be deep? Shallow PINNs using the Levenberg-Marquardt algorithm
• A Neural-preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions
• Operator learning meets inverse problems: A probabilistic perspective
• Second-order consistency for learning chaotic dynamics via randomized Jacobian matching
• Windowed thinning and query complexity for the bouncy particle and Zigzag samplers
• Data-efficient Kernel Methods for Learning Hamiltonian Systems