36 citations · 38 across the 5 of their papers we have counts for
5 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…
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…
Abstract harmonic analysis on locally compact right topological groups
Prachi Loliencar
Analytic properties of right topological groups have been extensively studied in the compact admissible case (i.e when the group has a dense topological center). This was inspired…
A generalized topological recursion for arbitrary ramification
Vincent Bouchard, Joel Hutchinson, Prachi Loliencar +2
The Eynard-Orantin topological recursion relies on the geometry of a Riemann surface S and two meromorphic functions x and y on S. To formulate the recursion, one must assume that…