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math.NA2026
High-Dimensional Enhanced Sampling via Regularized Path-Dependent McKean--Vlasov Dynamics using Tensor Density Approximation
Liyao Lyu, Siyu Guo, Huan Lei
Sampling from high-dimensional Gibbs measures poses a challenge when the energy landscape consists of multiple metastable states. Enhanced-sampling methods mitigate this difficulty…
math.NA2025
A stochastic branching particle method for solving non-conservative reaction-diffusion equations
Liyao Lyu, Huan Lei
We propose a stochastic branching particle-based method for solving nonlinear non-conservative advection-diffusion-reaction equations. The method splits the evolution into an advec…