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...

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Bibliografiske detaljer
Hovedforfatter:	Otter, NL
Andre forfattere:	Harrington, H
Format:	Thesis
Sprog:	English
Udgivet:	2018
Fag:	Homology theory Algebraic topology Data analysis

Lignende værker

The homology of banach and topological algebras/
af: 189584 Helemskii, A. Ya
Udgivet: (1989)

Algebraic topology-homotopy and homology/
af: 176364 Switzer, Robert M.
Udgivet: (1975)

Graphs, surfaces, and homology : an introduction to algebraic topology/
af: 176415 Giblin, P. J.
Udgivet: (1977)

A roadmap for the computation of persistent homology
af: Nina Otter, et al.
Udgivet: (2017-08-01)

Homology in group theory /
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Udgivet: (1973)

Homology /
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Udgivet: (1975)

C*-Algebras extension and K-Homology /
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Udgivet: (1980)

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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Udgivet: (2015)

An introduction to homological algebra /
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Udgivet: (1960)

An introduction to homological algebra /
af: Rotman, Joseph J., 1934-
Udgivet: (1979)

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Udgivet: (2003)

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Udgivet: (1971)

A course in homological algebra /
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Persistent Homology in Machine Learning: Applied Sciences Review
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Udgivet: (2023-03-01)

Homological methods in commutative algebra /
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Udgivet: (1975)

An elementary approach to homological algebra / L. R. Vermani
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Udgivet: (2003)

An algorithm for calculating top-dimensional bounding chains
af: J. Frederico Carvalho, et al.
Udgivet: (2018-05-01)

Application of algebraic topology to fingerprint recognitiony
af: Alejandro Valdés Camejo, et al.
Udgivet: (2018-12-01)

Introduction to categories homological algebra and sheaf cohomology /
af: 310776 Strooker, Jan R.
Udgivet: (1978)

Persistent homology classification algorithm
af: Mark Lexter D. De Lara
Udgivet: (2023-01-01)

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

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

18.905 Algebraic Topology, Fall 2006
af: Lawson, Tyler
Udgivet: (2018)

On the infinite loop spaces of algebraic cobordism and the motivic sphere
af: Tom Bachmann, et al.
Udgivet: (2021-05-01)

Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
af: Sarah Tymochko, et al.
Udgivet: (2020-10-01)

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

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

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

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

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

Multiparameter persistent homology of data
af: Vipond, O
Udgivet: (2021)

Homological Landscape of Human Brain Functional Sub-Circuits
af: Duy Duong-Tran, et al.
Udgivet: (2024-01-01)

Supervised Learning Using Homology Stable Rank Kernels
af: Jens Agerberg, et al.
Udgivet: (2021-07-01)

Configuration spaces and homological stability
af: Palmer, M
Udgivet: (2012)

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

Computational homology /
af: 381894 Kaczynski, Tomasz, et al.
Udgivet: (2004)

Insights into brain architectures from the homological scaffolds of functional connectivity networks
af: Louis-David Lord, et al.
Udgivet: (2016-11-01)

Singular homology theory /
af: 176440 Massey, William S.
Udgivet: (1980)

Topological analysis of data
af: Alice Patania, et al.
Udgivet: (2017-06-01)

Evolutionary Khovanov homology
af: Li Shen, et al.
Udgivet: (2024-09-01)