Results 21 to 30 of about 426,517 (268)
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.
Robins, Vanessa +3 more
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Persistent Homology and String Vacua [PDF]
, 2015 We use methods from topological data analysis to study the topological features of certain distributions of string vacua. Topological data analysis is a multi-scale approach used to analyze the topological features of a dataset by identifying which ...
Cirafici, Michele
core +3 more sources
Statistical Methods in Topological Data Analysis for Complex, High-Dimensional Data [PDF]
, 2015 The utilization of statistical methods an their applications within the new field of study known as Topological Data Analysis has has tremendous potential for broadening our exploration and understanding of complex, high-dimensional data spaces.
Doerge, R. W., Medina, Patrick S.
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Topological data analysis of zebrafish patterns [PDF]
Proceedings of the National Academy of Sciences, 2020 Self-organized pattern behavior is ubiquitous throughout nature, from fish schooling to collective cell dynamics during organism development. Qualitatively these patterns display impressive consistency, yet variability inevitably exists within pattern-forming systems on both microscopic and macroscopic scales.
Melissa R. McGuirl +2 more
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Separating Topological Noise from Features Using Persistent Entropy [PDF]
, 2016 Topology is the branch of mathematics that studies shapes and maps among them. From the algebraic definition of topology a new set of algorithms have been derived.
Atienza Martínez, María Nieves +2 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
doaj +1 more source
Inference of Ancestral Recombination Graphs through Topological Data Analysis [PDF]
, 2016 The recent explosion of genomic data has underscored the need for interpretable and comprehensive analyses that can capture complex phylogenetic relationships within and across species.
Camara, Pablo G. +2 more
core +6 more sources
Topological data analysis of biological aggregation models. [PDF]
PLoS ONE, 2015 We apply tools from topological data analysis to two mathematical models inspired by biological aggregations such as bird flocks, fish schools, and insect swarms.
Chad M Topaz +2 more
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 Zieliński +4 more
openaire +3 more sources
Challenges in Topological Object Data Analysis [PDF]
Sankhya A, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrangenaru, Vic +3 more
openaire +4 more sources