4.5 Article

Phenotyping OSA: a time series analysis using fuzzy clustering and persistent homology

Journal

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 142, Issue -, Pages 178-195

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2021.10.012

Keywords

Clustering; Persistent homology; Time series; Dirichlet regression; Phenotyping; Sleep apnea

Funding

  1. National Sciences and Engineering Research Council of Canada [NSERC DG 2016-05167]
  2. Women and Children's Health Research Institute
  3. American Association of Orthodontists Foundation
  4. McIntyre Memorial fund from the School of Dentistry at the University of Alberta

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This article addresses the diagnosis issue of sleep apnea and investigates it using clustering analysis and topological methods.
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-hypopnea index may be ineffective in capturing its multi-faceted outcomes. In this work, we take a first step in addressing this issue by phenotyping patients using a clustering analysis of airflow time series. This is approached in three ways: using feature-based fuzzy clustering in the time and frequency domains, and using persistent homology to study the signal from a topological perspective. The fuzzy clusters are analyzed in a novel manner using a Dirichlet regression analysis, while the topological approach leverages Takens' embedding theorem to study the periodicity properties of the signals. Crown Copyright (c) 2021 Published by Elsevier Inc. All rights reserved.

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