Delves into uniformly accurate hydrodynamic models for kinetic equations using machine learning, covering Boltzmann equation, moment methods, and numerical results.
Discusses the application of Monte Carlo methods in thermal radiation analysis, focusing on probability functions and numerical integration techniques.
Explores the Collisionless Boltzmann Equation, Jeans theorems, and equilibria of collisionless systems, focusing on connections between barotropic fluids and ergodic stellar systems.
Delves into the fundamental limits of gradient-based learning on neural networks, covering topics such as binomial theorem, exponential series, and moment-generating functions.