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math.AT2019
Persistent Obstruction Theory for a Model Category of Measures with Applications to Data Merging
Abraham D. Smith, Paul Bendich, John Harer
Collections of measures on compact metric spaces form a model category ("data complexes"), whose morphisms are marginalization integrals. The fibrant objects in this category repre…
math.AT2013★ 4 cited
Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis
Jose Perea, John Harer
We develop in this paper a theoretical framework for the topological study of time series data. Broadly speaking, we describe geometrical and topological properties of sliding wind…