no code implementations • 3 Jun 2024 • Mingtao Xia, Xiangting Li, Qijing Shen, Tom Chou
We analyze the Wasserstein distance ($W$-distance) between two probability distributions associated with two multidimensional jump-diffusion processes.
no code implementations • 13 Feb 2024 • Joshua C Chang, Xiangting Li, Shixin Xu, Hao-Ren Yao, Julia Porcino, Carson Chow
We introduce gradient-flow-guided adaptive importance sampling (IS) transformations for stabilizing Monte-Carlo approximations of leave-one-out (LOO) cross-validated predictions for Bayesian models.
1 code implementation • 7 Feb 2024 • Xiangting Li, Tom Chou
We find that loss of fidelity for longer proofreading steps relies on the specific strategy of information extraction and show that in the first-passage time (FPT) discrimination strategy, longer proofreading steps can exponentially improve the accuracy of KPR at the cost of speed.
no code implementations • 21 Jan 2024 • Mingtao Xia, Xiangting Li, Qijing Shen, Tom Chou
We provide an analysis of the squared Wasserstein-2 ($W_2$) distance between two probability distributions associated with two stochastic differential equations (SDEs).
no code implementations • 28 Sep 2023 • Mingtao Xia, Xiangting Li, Qijing Shen, Tom Chou
Rapidly developing machine learning methods has stimulated research interest in computationally reconstructing differential equations (DEs) from observational data which may provide additional insight into underlying causative mechanisms.
1 code implementation • 6 Sep 2023 • Xiangting Li, Tom Chou
The dissociation process can be facilitated by DNA binding proteins or processing molecular motors that compete with histones for histone-DNA contact sites.
no code implementations • 7 Aug 2023 • Xiangting Li, Sara Habibipour, Tom Chou, Otto O. Yang
Recent studies show that newly sampled monkeypox virus (MPXV) genomes exhibit mutations consistent with Apolipoprotein B mRNA Editing Catalytic Polypeptide-like3 (APOBEC3)-mediated editing, compared to MPXV genomes collected earlier.
no code implementations • 1 Mar 2023 • Mingtao Xia, Xiangting Li, Tom Chou
There has been renewed interest in understanding the mathematical structure of ecological population models that lead to overcompensation, the process by which a population recovers to a higher level after suffering a permanent increase in predation or harvesting.
1 code implementation • 10 Jul 2022 • Xiangting Li, Tom Chou
Such transcription-translation coupling (TTC) has been evoked as a mechanism that speeds up the overall process, provides protection during the transcription, and/or regulates the timing of transcript and protein formation.