Results 21 to 30 of about 136,965 (253)
A topological data analysis based classifier
Advances in Data Analysis and Classification, 2023 The paper is under consideration at Advances in Data Analysis and Classification.
Rolando Kindelan +3 more
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Hypothesis testing for topological data analysis [PDF]
Journal of Applied and Computational Topology, 2017 14 pages, 5 figures, 1 ...
Andrew Robinson, Katharine Turner
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Cluster Persistence for Weighted Graphs
Entropy, 2023 Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their 0-dimensional homology.
Omer Bobrowski, Primoz Skraba
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Topological data analysis and cosheaves [PDF]
Japan Journal of Industrial and Applied Mathematics, 2015 version 2 has 30 pages, 18 figures; 25 pages, 17 figures, submitted to the Japan Journal of Industrial and Applied ...
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Topological Data Analysis and Clustering
, 2023 This article is intended to be a chapter for a ...
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Topological data analysis for revealing dynamic brain reconfiguration in MEG data [PDF]
PeerJ, 2023 In recent years, the focus of the functional connectivity community has shifted from stationary approaches to the ones that include temporal dynamics. Especially, non-invasive electrophysiological data (magnetoencephalography/electroencephalography (MEG ...
Ali Nabi Duman, Ahmet E. Tatar
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Topological data analysis of biological aggregation models. [PDF]
PLoS ONE, 2015 We apply tools from topological data analysis to two mathematical models inspired by biological aggregations such as bird flocks, fish schools, and insect swarms.
Chad M Topaz +2 more
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Topological Data Analysis [PDF]
Annual Review of Statistics and Its Application, 2018 Topological data analysis (TDA) can broadly be described as a collection of data analysis methods that find structure in data. These methods include clustering, manifold estimation, nonlinear dimension reduction, mode estimation, ridge estimation and persistent homology. This paper reviews some of these methods.
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Neighborhood hypergraph model for topological data analysis
Computational and Mathematical Biophysics, 2022 Hypergraph, as a generalization of the notions of graph and simplicial complex, has gained a lot of attention in many fields. It is a relatively new mathematical model to describe the high-dimensional structure and geometric shapes of data sets.
Liu Jian, Chen Dong, Li Jingyan, Wu Jie
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An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists
Frontiers in Artificial Intelligence, 2021 With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying structure has become a problem of fundamental importance for data analysis and statistical learning ...
Frédéric Chazal, Bertrand Michel
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