4 papers
A Time-Varying Branching Process Approach to Model Self-Renewing Cells
Huyen Nguyen, Haim Bar, Zhiyi Chi +1
Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissue…
Complexity of exact sampling of the first passage of a stable subordinator
Zhiyi Chi
We consider the exact sampling of the first passage of a stable subordinator across a non-increasing regular barrier. First, the sampling is reduced to one from a bivariate distrib…
On a Variation of Gambler's Ruin Problem
Zhiyi Chi, Vladimir Pozdnyakov
Assume that letters (from a finite alphabet) in a text form a Markov chain. We track two distinct words, and . A gambler gains 1 point for each occurrence of (including…
Recursive Computation of Path Homology for Stratified Digraphs
Zhengtong Zhu, Zhiyi Chi
Stratified digraphs are popular models for feedforward neural networks. However, computation of their path homologies has been limited to low dimensions due to high computational c…