A Topological Data Analysis perspective on noncovalent interactions in relativistic calculations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Quantum Chemistry"
DOI: 10.1002/qua.26133
Abstract: Topological Data Analysis (TDA) is a powerful mathematical theory, largely unexplored in theoretical chemistry. In this work we demonstrate how TDA provides new insights into topological features of electron densities and reduced density gradients, by… read more here.
Keywords: chemistry; analysis; analysis perspective; perspective noncovalent ... See more keywords
Exploring hyperspectral imaging data sets with topological data analysis.
Sign Up to like & getrecommendations! Published in 2018 at "Analytica chimica acta"
DOI: 10.1016/j.aca.2017.11.029
Abstract: Analytical chemistry is rapidly changing. Indeed we acquire always more data in order to go ever further in the exploration of complex samples. Hyperspectral imaging has not escaped this trend. It quickly became a tool… read more here.
Keywords: imaging data; data sets; data analysis; topological data ... See more keywords
Promises and pitfalls of topological data analysis for brain connectivity analysis
Sign Up to like & getrecommendations! Published in 2021 at "NeuroImage"
DOI: 10.1016/j.neuroimage.2021.118245
Abstract: Developing sensitive and reliable methods to distinguish normal and abnormal brain states is a key neuroscientific challenge. Topological Data Analysis, despite its relative novelty, already generated many promising applications, including in neuroscience. We conjecture its… read more here.
Keywords: data analysis; topological data; analysis; connectivity ... See more keywords
A look into chaos detection through topological data analysis
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132446
Abstract: Abstract Traditionally, computation of Lyapunov exponents has been the marque method for identifying chaos in a time series. Recently, new methods have emerged for systems with both known and unknown models to produce a definitive… read more here.
Keywords: chaos detection; time series; topological data; time ... See more keywords
Topological data analysis of truncated contagion maps
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0090114
Abstract: The investigation of dynamical processes on networks has been one focus for the study of contagion processes. It has been demonstrated that contagions can be used to obtain information about the embedding of nodes in… read more here.
Keywords: contagion maps; contagion; data analysis; analysis truncated ... See more keywords
Topological data analysis and machine learning
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Physics: X"
DOI: 10.1080/23746149.2023.2202331
Abstract: 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.… read more here.
Keywords: physics; topological data; data analysis; machine learning ... See more keywords
Topological data assimilation using Wasserstein distance
Sign Up to like & getrecommendations! Published in 2018 at "Inverse Problems"
DOI: 10.1088/1361-6420/aae993
Abstract: This work combines a level-set approach and the optimal transport-based Wasserstein distance in a data assimilation framework. The primary motivation of this work is to reduce assimilation artifacts resulting from the position and observation error… read more here.
Keywords: using wasserstein; topological data; distance; data assimilation ... See more keywords
Scalable Topological Data Analysis and Visualization for Evaluating Data-Driven Models in Scientific Applications
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Visualization and Computer Graphics"
DOI: 10.1109/tvcg.2019.2934594
Abstract: With the rapid adoption of machine learning techniques for large-scale applications in science and engineering comes the convergence of two grand challenges in visualization. First, the utilization of black box models (e.g., deep neural networks)… read more here.
Keywords: scalable topological; topology; topological data; data analysis ... See more keywords
Topological data analysis (TDA) of U-BIOPRED paediatric peripheral blood gene expression identified asthma phenotypes characterised by alternative splicing of glucocorticoid receptor (GR) mRNA
Sign Up to like & getrecommendations! Published in 2018 at "European Respiratory Journal"
DOI: 10.1183/13993003.congress-2018.pa5435
Abstract: Background: Molecular stratification of childhood asthma could enable targeted therapy.Aims: Unbiased analysis of gene expression in paediatric severe (SA) and moderate/mild asthma (MA) blood sampl ... read more here.
Keywords: analysis; topological data; blood; gene expression ... See more keywords
A topological data analysis based classification method for multiple measurements
Sign Up to like & getrecommendations! Published in 2020 at "BMC Bioinformatics"
DOI: 10.1186/s12859-020-03659-3
Abstract: Background Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data space and builds a network graph based on the… read more here.
Keywords: classification; data analysis; topological data; svm ... See more keywords
Tracking collective cell motion by topological data analysis.
Sign Up to like & getrecommendations! Published in 2020 at "PLoS computational biology"
DOI: 10.1371/journal.pcbi.1008407
Abstract: By modifying and calibrating an active vertex model to experiments, we have simulated numerically a confluent cellular monolayer spreading on an empty space and the collision of two monolayers of different cells in an antagonistic… read more here.
Keywords: data analysis; topological data; antagonistic migration; numerical simulations ... See more keywords