Sofya Chepushtanova
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View article: Persistence Images: An Alternative Persistent Homology Representation.
Persistence Images: An Alternative Persistent Homology Representation. Open
Many datasets can be viewed as a noisy sampling of an underlying topological space. Topological data analysis aims to understand and exploit this underlying structure for the purpose of knowledge discovery. A fundamental tool of the discip…
View article: Persistence Images: A Stable Vector Representation of Persistent Homology
Persistence Images: A Stable Vector Representation of Persistent Homology Open
Many datasets can be viewed as a noisy sampling of an underlying space, and tools from topological data analysis can characterize this structure for the purpose of knowledge discovery. One such tool is persistent homology, which provides a…
View article: Algorithms for feature selection and pattern recognition on Grassmann manifolds
Algorithms for feature selection and pattern recognition on Grassmann manifolds Open
This dissertation presents three distinct application-driven research projects united by ideas and topics from geometric data analysis, optimization, computational topology, and machine learning. We first consider hyperspectral band select…