Classifying sleep states using persistent homology and Markov chains: a pilot study

DOI10.1007/978-3-030-79891-8_11OpenAlexW4205108268MaRDI QIDQ2072596

Sarah Tymochko, Giseon Heo, Kritika Singhal

Publication date: 26 January 2022

Full work available at URL: https://arxiv.org/abs/2002.07810

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Image analysis in multivariate analysis (62H35) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Artificial intelligence (68Txx)

Uses Software

• Scikit
• Scikit-tda
• Ripser.py
• PersistenceImages

Cites Work

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• An Introduction to Discrete‐Valued Time Series
• Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems
• (Quasi)Periodicity Quantification in Video Data, Using Topology
• Persistence Images: A Stable Vector Representation of Persistent Homology
• Ridge Regression: Biased Estimation for Nonorthogonal Problems
• On Information and Sufficiency
• Random forests

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