77 citations · 151 across the 11 of their papers we have counts for
11 papers
On the Mathematics of RNA Velocity II: Algorithmic Aspects
Tiejun Li, Yizhuo Wang, Guoguo Yang +1
In a previous paper [CSIAM Trans. Appl. Math. 2 (2021), 1-55], the authors proposed a theoretical framework for the analysis of RNA velocity, which is a promising concept in scRNA-…
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…
The Graph Limit of The Minimizer of The Onsager-Machlup Functional and Its Computation
Qiang Du, Tiejun Li, Xiaoguang Li +1
The Onsager-Machlup (OM) functional is well-known for characterizing the most probable transition path of a diffusion process with non-vanishing noise. However, it suffers from a n…
City traffic forecasting using taxi GPS data: A coarse-grained cellular automata model
Yucheng Hu, Minwei Li, Hao Liu +3
City traffic is a dynamic system of enormous complexity. Modeling and predicting city traffic flow remains to be a challenge task and the main difficulties are how to specify the s…
Comment on "On Uniqueness of SDE Decomposition in A-type Stochastic Integration" [arXiv:1603.07927v1]
Peijie Zhou, Tiejun Li
The uniqueness issue of SDE decomposition theory proposed by Ao and his co-workers has recently been discussed. A comprehensive study to investigate connections among different lan…
Realization of Waddington's Metaphor: Potential Landscape, Quasi-potential, A-type Integral and Beyond
Peijie Zhou, Tiejun Li
Motivated by the famous Waddington's epigenetic landscape metaphor in developmental biology, biophysicists and applied mathematicians made different proposals to realize this metap…