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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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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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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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Topological data analysis and machine learning [PDF]
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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An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists [PDF]
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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Topological data analysis in medical imaging: current state of the art. [PDF]
Insights Imaging, 2023 Machine learning, and especially deep learning, is rapidly gaining acceptance and clinical usage in a wide range of image analysis applications and is regarded as providing high performance in detecting anatomical structures and identification and ...
Singh Y +6 more
europepmc +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
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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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Applications of Topological Data Analysis in Oncology
Frontiers in Artificial Intelligence, 2021 The emergence of the information age in the last few decades brought with it an explosion of biomedical data. But with great power comes great responsibility: there is now a pressing need for new data analysis algorithms to be developed to make sense of ...
Anuraag Bukkuri +2 more
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Big Data and Cognitive Computing, 2022 Topological data analysis has recently found applications in various areas of science, such as computer vision and understanding of protein folding. However, applications of topological data analysis to natural language processing remain under-researched.
Ran Deng, Fedor Duzhin
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