Results 51 to 60 of about 7,249,127 (302)
Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis [PDF]
PLoS Comput. Biol., 2021 Angiogenesis is the process by which blood vessels form from pre-existing vessels. It plays a key role in many biological processes, including embryonic development and wound healing, and contributes to many diseases including cancer and rheumatoid ...
John T. Nardini +4 more
semanticscholar +1 more source
Challenges in Topological Object Data Analysis [PDF]
Sankhya A, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrangenaru, Vic +3 more
openaire +4 more sources
Event history and topological data analysis [PDF]
Biometrika, 2020 Summary Persistent homology is used to track the appearance and disappearance of features as we move through a nested sequence of topological spaces. Equating the nested sequence to a filtration and the appearance and disappearance of features to events, we show that simple event history methods can be used for the analysis of ...
Garside K +4 more
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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
doaj +1 more source
Statistical Methods in Topological Data Analysis for Complex, High-Dimensional Data [PDF]
, 2015 The utilization of statistical methods an their applications within the new field of study known as Topological Data Analysis has has tremendous potential for broadening our exploration and understanding of complex, high-dimensional data spaces.
Doerge, R. W., Medina, Patrick S.
core +3 more sources
Empowering Advanced Driver-Assistance Systems from Topological Data Analysis
Mathematics, 2021 We are interested in evaluating the state of drivers to determine whether they are attentive to the road or not by using motion sensor data collected from car driving experiments.
Tarek Frahi +7 more
doaj +1 more source
BMC Bioinformatics, 2021 Background This paper exploits recent developments in topological data analysis to present a pipeline for clustering based on Mapper, an algorithm that reduces complex data into a one-dimensional graph.
Ewan Carr +4 more
doaj +1 more source
Hypothesis testing for topological data analysis [PDF]
Journal of Applied and Computational Topology, 2017 14 pages, 5 figures, 1 ...
Robinson, Andrew, Turner, Katharine
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Topological data analysis of contagion maps for examining spreading processes on networks [PDF]
, 2015 Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however, in modern contagions long-range edges -- for example, due to airline ...
Harrington, Heather A. +6 more
core +4 more sources
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 ...
openaire +2 more sources