Title
Persistence Bag-of-Words for Topological Data Analysis.
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 todayu0027s 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.
Year
DOI
Venue
2018
10.24963/ijcai.2019/624
international joint conference on artificial intelligence
Field
DocType
Volume
Bag-of-words model,Topological data analysis,Mathematical theory,Persistent homology,Artificial intelligence,Workflow,Mathematics,Machine learning
Journal
abs/1812.09245
Citations 
PageRank 
References 
0
0.34
12
Authors
5
Name
Order
Citations
PageRank
Bartosz Zieliński1567.89
Michał Lipiński210.69
Mateusz Juda3122.74
Matthias Zeppelzauer418621.35
Paweł Dłotko500.34