2017
DOI: 10.1109/lsp.2017.2699924
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Period Estimation of an Almost Periodic Signal Using Persistent Homology With Application to Respiratory Rate Measurement

Abstract: Index Terms-Periodicity, persistent homology, pyro-electric infrared (PIR) sensor, respiratory rate (RR), topological data analysis.

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Cited by 11 publications
(1 citation statement)
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“…The basic idea is giving shape to data by replacing it with a family of simplicial complexes, which can be considered as a higher dimensional generalization of graphs, and then studying the topology of the resulted shapes to gain knowledge about it [5]. It has found applications in many different domains such as biological systems [6], computer vision [7], social network analysis [8] and signal processing [9]. Finally, we employ machine learning algorithms on these features to first reduce the dimension of the features and then classify the users as bot vs. human.…”
Section: Introductionmentioning
confidence: 99%
“…The basic idea is giving shape to data by replacing it with a family of simplicial complexes, which can be considered as a higher dimensional generalization of graphs, and then studying the topology of the resulted shapes to gain knowledge about it [5]. It has found applications in many different domains such as biological systems [6], computer vision [7], social network analysis [8] and signal processing [9]. Finally, we employ machine learning algorithms on these features to first reduce the dimension of the features and then classify the users as bot vs. human.…”
Section: Introductionmentioning
confidence: 99%