7 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…
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…
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.…
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…
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…