22 citations · 76 across the 17 of their papers we have counts for
17 papers
Wasserstein Moment Nudging for Vlasov-Poisson Data Assimilation
Liyao Lyu, Xinyue Yu, David Schneidinger +1
We introduce a continuous data assimilation method for particle-in-cell simulations of the Vlasov-Poisson equation when only hydrodynamic moments are observed. The forecast state i…
Multiscale Nudging: From Macroscopic Observations to Microscopic Dynamics
Liyao Lyu, Xinyue Yu, Hayden Schaeffer
We introduce a measure-based nudging framework for assimilating macroscopic observations into microscopic mean-field particle dynamics. The central difficulty is a representation m…
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…
MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data
Liyao Lyu, Xinyue Yu, Hayden Schaeffer
Collective behaviors that emerge from interactions are fundamental to numerous biological systems. To learn such interacting forces from observations, we introduce a measure-valued…
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…
A unified framework for data-driven construction of stochastic reduced models with state-dependent memory
Zhiyuan She, Liyao Lyu, Bryan Ronain Smith +1
We present a unified framework for the data-driven construction of stochastic reduced models with state-dependent memory for high-dimensional Hamiltonian systems. The method addres…