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Topological Data Analysis
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DOI：10.1146/annurev-statistics-031017-100045.png)
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Abstract
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Topological data analysis (TDA) can broadly be described as a collection of data analysis methods that find structure in data. These methods include clustering, manifold estimation, nonlinear dimension reduction, mode estimation, ridge estimation and persistent homology. This paper reviews some of these methods.
Keywords:
clustering
persistent homology
dimension reduction
manifold estimation
density trees
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