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Research

Stein Variational Dynamics & Sampling Flows

Singular-kernel SVGD; finite-particle convergence; long-time sampling; uniform-in-time propagation of chaos; Riesz and Bessel kernels.

Boltzmann Perspective on Foundation Models

Stochastic in-context maps and interacting-particle formulations for approximating Boltzmann solution operators, with connections to foundation models for fluid and continuum dynamics.

Kinetic & Hydrodynamic Limits of Collective Dynamics

Long-time behavior, kinetic and hydrodynamic descriptions (mean-field and hydrodynamic limits), and fluid–particle interaction systems (Euler Alignment; Fokker–Planck–Navier–Stokes).

Neural Surrogates for Wave Propagation

Operator learning for wave scattering and fast three-dimensional Helmholtz simulation, with applications to subsurface imaging and full-waveform inversion.