Results 11 to 20 of about 127,298 (253)
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
openaire +3 more sources
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
openaire +1 more source