Results 11 to 20 of about 128,421 (254)
Topological Data Analysis in Cardiovascular Signals: An Overview [PDF]
EntropyTopological data analysis (TDA) is a recent approach for analyzing and interpreting complex data sets based on ideas a branch of mathematics called algebraic topology.
Enrique Hernández-Lemus +2 more
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Frontiers in Computational Neuroscience, 2021 Neuronal morphology is characterized by salient features such as complex axonal and dendritic arbors. In the mammalian brain, variations in dendritic morphology among cell classes, brain regions, and animal species are thought to underlie known ...
Reem Khalil +2 more
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Simplicial complex entropy for time series analysis
Scientific Reports, 2023 The complex behavior of many systems in nature requires the application of robust methodologies capable of identifying changes in their dynamics. In the case of time series (which are sensed values of a system during a time interval), several methods ...
Lev Guzmán-Vargas +2 more
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Towards quantum advantage via topological data analysis [PDF]
Quantum, 2022 Even after decades of quantum computing development, examples of generally useful quantum algorithms with exponential speedups over classical counterparts are scarce.
Casper Gyurik, Chris Cade, Vedran Dunjko
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Topology and Intelligent Data Analysis [PDF]
Intelligent Data Analysis, 2003 A broad range of mathematical techniques, ranging from statistics to fuzzy logic, have been used to great advantage in intelligent data analysis. Topology – the fundamental mathematics of shape – has to date been conspicuously absent from this repertoire.
Vanessa Robins +3 more
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Scientific Reports, 2022 The roughness of material surfaces is of greatest relevance for applications. These include wear, friction, fatigue, cytocompatibility, or corrosion resistance.
Jan F. Senge +4 more
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Analysis of Internet topology data [PDF]
2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512), 2004 Discovering Internet topology is important for analyzing routing protocols and Internet robustness and resilience. Recent research results dealing with Internet topology, such as the discovery of power-laws and the application of normalized Laplacian analysis to Internet topology data, have increased the need for more complete datasets and their more ...
Johnson Chen, Ljiljana Trajkovic
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Topological data analysis and machine learning
Advances in Physics: X, 2023 Topological data analysis refers to approaches for systematically and reliably computing abstract ‘shapes’ of complex data sets. There are various applications of topological data analysis in life and data sciences, with growing interest among physicists.
Daniel Leykam, Dimitris G. Angelakis
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Persistence codebooks for topological data analysis [PDF]
Artificial Intelligence Review, 2020 AbstractPersistent homology is a rigorous mathematical theory that provides a robust descriptor of data in the form of persistence diagrams (PDs) which are 2D multisets of points. Their variable size makes them, however, difficult to combine with typical machine learning workflows.
Bartosz Zielinski 0001 +4 more
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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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