The homology of data

The homology of data

<p>Techniques and ideas from topology — the mathematical area that studies shapes — are being applied to the study of data with increasing frequency and success. Persistent homology (PH) is a method that uses homology — a tool in topology that gives a measure of the number of holes of a space...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Otter, NL
Awduron Eraill:	Harrington, H
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2018
Pynciau:	Homology theory Algebraic topology Data analysis

Eitemau Tebyg

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Persistent homology of collider observations: When (w)hole matters
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Topological Comparison of Some Dimension Reduction Methods Using Persistent Homology on EEG Data
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18.905 Algebraic Topology, Fall 2006
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On the infinite loop spaces of algebraic cobordism and the motivic sphere
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Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
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Digital homotopy relations and digital homology theories
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Multiparameter persistent homology of data
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Homological Landscape of Human Brain Functional Sub-Circuits
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Insights into brain architectures from the homological scaffolds of functional connectivity networks
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Topological analysis of data
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Evolutionary Khovanov homology
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Cyhoeddwyd: (2024-09-01)