93 citations · 106 across the 8 of their papers we have counts for
8 papers
Topological Hidden Markov Models
Adam B Kashlak, Prachi Loliencar, Giseon Heo
The hidden Markov model (HMM) is a classic modeling tool with a wide swath of applications. Its inception considered observations restricted to a finite alphabet, but it was quickl…
Phenotyping OSA: a time series analysis using fuzzy clustering and persistent homology
Prachi Loliencar, Giseon Heo
Sleep apnea is a disorder that has serious consequences for the pediatric population. There has been recent concern that traditional diagnosis of the disorder using the apnea-hypop…
Classifying sleep states using persistent homology and Markov chain: a Pilot Study
Sarah Tymochko, Kritika Singhal, Giseon Heo
Obstructive sleep Apnea (OSA) is a form of sleep disordered breathing characterized by frequent episodes of upper airway collapse during sleep. Pediatric OSA occurs in 1-5% of chil…
A survey of statistical learning techniques as applied to inexpensive pediatric Obstructive Sleep Apnea data
Emily T. Winn, Marilyn Vazquez, Prachi Loliencar +3
Pediatric obstructive sleep apnea affects an estimated 1-5% of elementary-school aged children and can lead to other detrimental health problems. Swift diagnosis and treatment are…
Diagnosis of Pediatric Obstructive Sleep Apnea via Face Classification with Persistent Homology and Convolutional Neural Networks
Milad Kiaee, Adam B Kashlak, Jisu Kim +1
Obstructive sleep apnea is a serious condition causing a litany of health problems especially in the pediatric population. However, this chronic condition can be treated if diagnos…
Topological Data Analysis of Clostridioides difficile Infection and Fecal Microbiota Transplantation
Pavel Petrov, Stephen T Rush, Zhichun Zhai +3
Computational topologists recently developed a method, called persistent homology to analyze data presented in terms of similarity or dissimilarity. Indeed, persistent homology stu…
Estimation for bivariate quantile varying coefficient model
Linglong Kong, Haoxu Shu, Giseon Heo +1
We propose a bivariate quantile regression method for the bivariate varying coefficient model through a directional approach. The varying coefficients are approximated by the B-spl…
Using persistent homology and dynamical distances to analyze protein binding
Violeta Kovacev-Nikolic, Peter Bubenik, Dragan Nikolić +1
Persistent homology captures the evolution of topological features of a model as a parameter changes. The most commonly used summary statistics of persistent homology are the barco…