Fast Computation of Persistent Homology with Data Reduction and Data Partitioning
Summary
Methods for reducing computational complexity in persistent homology through topology-preserving reduction and partitioning strategies.
Research Context
This publication reflects graduate research conducted at the University of Cincinnati College of Engineering and Applied Science. It is included here to document the technical foundation behind Convergent Analytics' work in industrial analytics, applied AI, high-performance computing, and topological data analysis.
This peer-reviewed conference publication was produced as part of graduate research conducted at the University of Cincinnati College of Engineering and Applied Science.
The research explores strategies for reducing the computational burden of persistent homology through data reduction and partitioning techniques. The objective was to preserve meaningful topological information while significantly improving performance.
The resulting framework helped establish a foundation for subsequent work on scalable topological data analysis, distributed computation, and large-scale engineering datasets.
Citation
Malott, N.O., Wilsey, P.A. Fast Computation of Persistent Homology with Data Reduction and Data Partitioning. IEEE Big Data 2019. DOI: 10.1109/BigData47090.2019.9006572