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Topological Data Analysis for Multivariate Time Series Data [PDF]
Entropy, 2023 Over the last two decades, topological data analysis (TDA) has emerged as a very powerful data analytic approach that can deal with various data modalities of varying complexities.
Anass B. El-Yaagoubi +2 more
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Topological data analysis in single cell biology [PDF]
Frontiers in ImmunologySingle-cell technologies have revolutionized our ability to interrogate biological systems at unprecedented resolution, revealing complex cellular heterogeneity and dynamic processes that underlie development, disease, and immune responses.
Enrique Hernández-Lemus
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A universal null-distribution for topological data analysis [PDF]
Scientific Reports, 2023 One of the most elusive challenges within the area of topological data analysis is understanding the distribution of persistence diagrams arising from data. Despite much effort and its many successful applications, this is largely an open problem.
Omer Bobrowski, Primoz Skraba
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A novel method for subgroup discovery in precision medicine based on topological data analysis [PDF]
BMC Medical Informatics and Decision MakingBackground The Mapper algorithm is a data mining topological tool that can help us to obtain higher level understanding of disease by visualising the structure of patient data as a similarity graph.
Ciara F. Loughrey +5 more
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Statistical inference for dependence networks in topological data analysis [PDF]
Frontiers in Artificial Intelligence, 2023 Topological data analysis (TDA) provide tools that are becoming increasingly popular for analyzing multivariate time series data. One key aspect in analyzing multivariate time series is dependence between components.
Anass B. El-Yaagoubi +2 more
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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 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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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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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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