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2015
Classical data processing uses pattern recognition methods such as classification for categorizing data. Such a method may involve a learning process. Modern data science also uses topological methods to find the structural features of data sets. In fact, topological methods should be the first step before the classification method is applied in most ...
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Classical data processing uses pattern recognition methods such as classification for categorizing data. Such a method may involve a learning process. Modern data science also uses topological methods to find the structural features of data sets. In fact, topological methods should be the first step before the classification method is applied in most ...
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Topological analysis of proteomic data
2012 International Conference on Collaboration Technologies and Systems (CTS), 2012Cells become unregulated because topological properties of their interactive behavior make it impossible for them to be regulated. To explore this hypothesis, 2-D PAGE gel electrophoresis protein concentration assay data is embedded and analyzed within a topological computing framework.
David Gnabasik, Gita Alaghband
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Computational Topology for Data Analysis
2022Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and ...
Tamal Krishna Dey, Yusu Wang
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Topological analysis of discrete scalar data
2012This thesis presents a novel computational framework that allows for a robust extraction and quantification of the Morse-Smale complex of a scalar field given on a 2- or 3- dimensional manifold. The proposed framework is based on Forman's discrete Morse theory, which guarantees the topological consistency of the computed complex.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
exaly
Journal of Computational Mathematics and Data Science
Serena Grazia De Benedictis +2 more
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Serena Grazia De Benedictis +2 more
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