987 citations · 2.3k across the 33 of their papers we have counts for
33 papers
Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence
Yuan Gao, Jian-Guo Liu
Irreversible drift-diffusion processes are very common in biochemical reactions. They have a non-equilibrium stationary state (invariant measure) which does not satisfy detailed ba…
Transition path theory for Langevin dynamics on manifold: optimal control and data-driven solver
Yuan Gao, Tiejun Li, Xiaoguang Li +1
We present a data-driven point of view for rare events, which represent conformational transitions in biochemical reactions modeled by over-damped Langevin dynamics on manifolds in…
A Proximal-Gradient Algorithm for Crystal Surface Evolution
Katy Craig, Jian-Guo Liu, Jianfeng Lu +2
As a counterpoint to recent numerical methods for crystal surface evolution, which agree well with microscopic dynamics but suffer from significant stiffness that prevents simulati…
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
Yuan Gao, Guangzhen Jin, Jian-Guo Liu
We propose an equilibrium-driven deformation algorithm (EDDA) to simulate the inbetweening transformations starting from an initial image to an equilibrium image, which covers imag…
Maximizing spreading influence via measuring influence overlap for social networks
Ning Wang, Zi-Yi Wang, Jian-Guo Liu +1
Influence overlap is a universal phenomenon in influence spreading for social networks. In this paper, we argue that the redundant influence generated by influence overlap cause ne…
A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction
Zheqing Zhu, Jian-guo Liu, Lei Li
In this paper, we propose a modified Levy jump diffusion model with market sentiment memory for stock prices, where the market sentiment comes from data mining implementation using…