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Persistence Bag-of-Words for Topological Data Analysis

2019-10-10 | |  45 |   37 |   0
Abstract Persistent homology (PH) is a rigorous mathematical theory that provides a robust descriptor of data in the form of persistence diagrams (PDs). PDs exhibit, however, complex structure and are diffi- cult to integrate in today’s machine learning work- flows. This paper introduces persistence bag-ofwords: a novel and stable vectorized representation of PDs that enables the seamless integration with machine learning. Comprehensive experiments show that the new representation achieves state-of-the-art performance and beyond in much less time than alternative approaches

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