Results 31 to 40 of about 426,517 (268)

Event history and topological data analysis [PDF]

Biometrika, 2020
Summary Persistent homology is used to track the appearance and disappearance of features as we move through a nested sequence of topological spaces. Equating the nested sequence to a filtration and the appearance and disappearance of features to events, we show that simple event history methods can be used for the analysis of ...
Garside K, Gjoka A, Henderson R, Johnson H, Makarenko I   +4 more
openaire   +4 more sources

Neighborhood hypergraph model for topological data analysis

Computational and Mathematical Biophysics, 2022
Hypergraph, as a generalization of the notions of graph and simplicial complex, has gained a lot of attention in many fields. It is a relatively new mathematical model to describe the high-dimensional structure and geometric shapes of data sets.
Liu Jian, Chen Dong, Li Jingyan, Wu Jie
doaj   +1 more source

Topological Data Analysis Helps to Improve Accuracy of Deep Learning Models for Fake News Detection Trained on Very Small Training Sets

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
doaj   +1 more source

Empowering Advanced Driver-Assistance Systems from Topological Data Analysis

Mathematics, 2021
We are interested in evaluating the state of drivers to determine whether they are attentive to the road or not by using motion sensor data collected from car driving experiments.
Tarek Frahi, Francisco Chinesta, Antonio Falcó, Alberto Badias, Elias Cueto, Hyung Yun Choi, Manyong Han, Jean-Louis Duval   +7 more
doaj   +1 more source

Identifying homogeneous subgroups of patients and important features: a topological machine learning approach

BMC Bioinformatics, 2021
Background This paper exploits recent developments in topological data analysis to present a pipeline for clustering based on Mapper, an algorithm that reduces complex data into a one-dimensional graph.
Ewan Carr, Mathieu Carrière, Bertrand Michel, Frédéric Chazal, Raquel Iniesta   +4 more
doaj   +1 more source

Hypothesis testing for topological data analysis [PDF]

Journal of Applied and Computational Topology, 2017
14 pages, 5 figures, 1 ...
Robinson, Andrew, Turner, Katharine
openaire   +2 more sources

Complex Politics: A Quantitative Semantic and Topological Analysis of UK House of Commons Debates [PDF]

, 2015
This study is a first, exploratory attempt to use quantitative semantics techniques and topological analysis to analyze systemic patterns arising in a complex political system.
Battiston, Federico, Gurciullo, Stefano, Hedblom, Daniel, Herzog, Alexander, John, Peter, Mikhaylov, Slava, Oztan, Bahattin Tolga, Patania, Alice, Pereda, María, Poledna, Sebastian, Smallegan, Michael   +10 more
core   +3 more sources

Topological data analysis and cosheaves [PDF]

Japan Journal of Industrial and Applied Mathematics, 2015
version 2 has 30 pages, 18 figures; 25 pages, 17 figures, submitted to the Japan Journal of Industrial and Applied ...
openaire   +2 more sources

Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom [PDF]

, 2007
When a low dimensional chaotic attractor is embedded in a three dimensional space its topological properties are embedding-dependent. We show that there are just three topological properties that depend on the embedding: parity, global torsion, and knot ...
Gilmore, Robert, Lefranc, Marc, Romanazzi, Nicola   +2 more
core   +1 more source

A topological data analysis based classifier

Advances in Data Analysis and Classification, 2023
The paper is under consideration at Advances in Data Analysis and Classification.
Rolando Kindelan, José Frías, Mauricio Cerda, Nancy Hitschfeld   +3 more
openaire   +3 more sources