Persistence Bag-of-Words for Topological Data Analysis
Machine Learning
2019-06-11 v3 Machine Learning
Algebraic Topology
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 difficult to integrate in today's machine learning workflows. This paper introduces persistence bag-of-words: 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.
Cite
@article{arxiv.1812.09245,
title = {Persistence Bag-of-Words for Topological Data Analysis},
author = {Bartosz Zieliński and Michał Lipiński and Mateusz Juda and Matthias Zeppelzauer and Paweł Dłotko},
journal= {arXiv preprint arXiv:1812.09245},
year = {2019}
}
Comments
Accepted for the Twenty-Eight International Joint Conference on Artificial Intelligence (IJCAI-19). arXiv admin note: substantial text overlap with arXiv:1802.04852