Topological Time Series Analysis

2018/11/28 by Perea, Jose A. · 2 citations
#Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.05143

Abstract

Time series are ubiquitous in our data rich world. In what follows I will describe how ideas from dynamical systems and topological data analysis can be combined to gain insights from time-varying data. We will see several applications to the live sciences and engineering, as well as some of the theoretical underpinnings.

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• Oriented Grassmannian Bundle, Normal Curvature Reduction, and Persistent Homology
• Flow-Aware Ellipsoidal Filtration for Persistent Homology of Recurrent Signals

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