1 citations · 2 across the 9 of their papers we have counts for
10 papers
Learning the Energy Landscapes of Dynamical Systems via Energetic Variational Optimal Transport under Data Quantity--Quality Trade-offs
Shun Wang, Chun Liu, Wenrui Hao
Dynamic optimal transport unifies optimal transport, fluid mechanics, and gradient-flow theory within a continuous dynamical framework, offering a geometry-aware language for appli…
Thermodynamically Consistent Modeling of ATP-Driven Cross-Bridge Dynamics in Muscle Contraction
Yiwei Wang, Chun Liu
Muscle contraction is a prototypical multiscale chemomechanical process in which ATP hydrolysis at the molecular level drives force generation and mechanical work at larger scales.…
Active Learning for Manifold Gaussian Process Regression
Yuanxing Cheng, Lulu Kang, Yiwei Wang +1
This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in h…
On a Modified Random Genetic Drift Model: Derivation and a Structure-Preserving Operator-Splitting Discretization
Chi-An Chen, Chun Liu, Yiwei Wang
One of the fundamental mathematical models for studying random genetic drift is the Kimura equation, derived as the large-population limit of the discrete Wright-Fisher model. Howe…
Accelerating Particle-based Energetic Variational Inference
Xuelian Bao, Lulu Kang, Chun Liu +1
In this work, we propose a new particle-based variational inference (ParVI) method for accelerating the Energetic Variational Inference with Implicit scheme (EVI-Im) introduced in…
On pattern formation in the thermodynamically-consistent variational Gray-Scott model
Wenrui Hao, Chun Liu, Yiwei Wang +1
In this paper, we explore pattern formation in a four-species variational Gary-Scott model, which includes all reverse reactions and introduces a virtual species to describe the bi…
Non-isothermal diffuse interface model for phase transition and interface evolution
Chun Liu, Jan-Eric Sulzbach, Yiwei Wang
In this paper, we derive a thermodynamically consistent non-isothermal diffuse interface model for phase transition and interface evolution involving heat transfer. This model is c…
On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang
In this paper, we provide a detailed theoretical analysis of the numerical scheme introduced in J. Comput. Phys. 436 (2021) 110253 for the reaction kinetics of a class of chemical…
Energetic Variational Gaussian Process Regression for Computer Experiments
Lulu Kang, Yuanxing Cheng, Yiwei Wang +1
The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for th…
Energetic Variational Neural Network Discretizations of Gradient Flows
Ziqing Hu, Chun Liu, Yiwei Wang +1
We present a structure-preserving Eulerian algorithm for solving -gradient flows and a structure-preserving Lagrangian algorithm for solving generalized diffusions. Both algor…