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Global and local persistent homology for the shape and classification of biological data

Abstract:

Persistent homology (PH) is an algorithmic method that allows one to study shape and higher-order interactions in high-dimensional data. Over the last decade, PH has been used in a wide variety of applications, including biology. PH considers topological invariants, such as connected components, loops, and holes, and their changes across a filtration which one can imagine as observing the data through multiple scales or resolutions. The filtration determines the questions that can be ans...

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Division:
MPLS
Department:
Mathematical Institute
Department:
Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
Role:
Supervisor
F. Hoffmann-La Roche AG More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
UUID:
uuid:3352ad74-87b4-415a-87d3-0592315763ac
Deposit date:
2020-04-24

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