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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखक:	Otter, NL
अन्य लेखक:	Harrington, H
स्वरूप:	थीसिस
भाषा:	English
प्रकाशित:	2018
विषय:	Homology theory Algebraic topology Data analysis

समान संसाधन

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A roadmap for the computation of persistent homology
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प्रकाशित: (2017-08-01)

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RECENT ADVANCES IN HOMOLOGICAL FUNCTORS AND CAPABILITY OF GROUPS /cEDITORS Nor Muhainiah Mohd. Ali, Yusof Yaacob ; contributors Nor Muhainiah Mohd. Ali, Rosita Zainal [and 8 others]
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प्रकाशित: (2015)

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प्रकाशित: (1979)

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द्वारा: 198017 Hilton, Peter John, और अन्य
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द्वारा: 198017 Hilton, Peter John, और अन्य
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Persistent Homology in Machine Learning: Applied Sciences Review
द्वारा: Oleksandr Yavorskyi, और अन्य
प्रकाशित: (2023-03-01)

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An algorithm for calculating top-dimensional bounding chains
द्वारा: J. Frederico Carvalho, और अन्य
प्रकाशित: (2018-05-01)

Application of algebraic topology to fingerprint recognitiony
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प्रकाशित: (2018-12-01)

Introduction to categories homological algebra and sheaf cohomology /
द्वारा: 310776 Strooker, Jan R.
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Persistent homology classification algorithm
द्वारा: Mark Lexter D. De Lara
प्रकाशित: (2023-01-01)

Persistent homology of collider observations: When (w)hole matters
द्वारा: Jyotiranjan Beuria
प्रकाशित: (2023-11-01)

Topological Comparison of Some Dimension Reduction Methods Using Persistent Homology on EEG Data
द्वारा: Eddy Kwessi
प्रकाशित: (2023-07-01)

18.905 Algebraic Topology, Fall 2006
द्वारा: Lawson, Tyler
प्रकाशित: (2018)

On the infinite loop spaces of algebraic cobordism and the motivic sphere
द्वारा: Tom Bachmann, और अन्य
प्रकाशित: (2021-05-01)

Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
द्वारा: Sarah Tymochko, और अन्य
प्रकाशित: (2020-10-01)

Algebraic topology, homology and cohomology/
द्वारा: 456899 Wallace, Andrew H.
प्रकाशित: (1970)

Digital homotopy relations and digital homology theories
द्वारा: P. Christopher Staecker
प्रकाशित: (2021-10-01)

Numerical algorithms for the mathematics of information
द्वारा: Mendoza-Smith, R
प्रकाशित: (2017)

The relative dihedral homology of involutive algebras
द्वारा: Y. Gh. Gouda
प्रकाशित: (1999-01-01)

Graphs, surfaces and homology: an introduction to algebraic topology/
द्वारा: 176415 Giblin, P. J.
प्रकाशित: (1981)

Multiparameter persistent homology of data
द्वारा: Vipond, O
प्रकाशित: (2021)

Homological Landscape of Human Brain Functional Sub-Circuits
द्वारा: Duy Duong-Tran, और अन्य
प्रकाशित: (2024-01-01)

Supervised Learning Using Homology Stable Rank Kernels
द्वारा: Jens Agerberg, और अन्य
प्रकाशित: (2021-07-01)

Configuration spaces and homological stability
द्वारा: Palmer, M
प्रकाशित: (2012)

Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations
द्वारा: Sergey Victor Ludkowski
प्रकाशित: (2021-03-01)

Computational homology /
द्वारा: 381894 Kaczynski, Tomasz, और अन्य
प्रकाशित: (2004)

Insights into brain architectures from the homological scaffolds of functional connectivity networks
द्वारा: Louis-David Lord, और अन्य
प्रकाशित: (2016-11-01)

Singular homology theory /
द्वारा: 176440 Massey, William S.
प्रकाशित: (1980)

Topological analysis of data
द्वारा: Alice Patania, और अन्य
प्रकाशित: (2017-06-01)

Evolutionary Khovanov homology
द्वारा: Li Shen, और अन्य
प्रकाशित: (2024-09-01)