International audienceBackgroundThis 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.ResultsWe present a pipeline to identify and summarise clusters based on statistically significant topological features from a point cloud using Mapper.ConclusionsKey strengths of this pipeline include the integration of prior knowledge to inform the clustering process and the selection of optimal clusters; the use of the bootstrap to restrict the search to robust topological features; the use of machine learning to inspect clusters; and the ability to incorporate mixed data types. Our pipeline can be downloaded under the...
Topological data analysis is a noble approach to extract meaningful information from high-dimensiona...
<div><p>We introduce a graph-theoretic approach to extract clusters and hierarchies in complex data-...
International audienceThe clustering of objects (individuals or variables) is one of the most used a...
One of the goals of precision medicine is to classify patients into subgroups that differ in their s...
One of the goals of precision medicine is to classify patients into subgroups that differ in their s...
There is a growing need for unbiased clustering algorithms, ideally automated to analyze complex dat...
We discuss topological aspects of cluster analysis and show that inferring the topological structure...
International audienceThe exponential growth of data generates terabytes of very large databases. Th...
Thesis (Ph.D.)--University of Washington, 2020Many real-world data sets can be viewed as a noisy sam...
Topological Data Analysis (TDA) combines topology and data analytics which offers a new perspective ...
This dissertation presents novel approaches and applications of machine learning architectures. In p...
Using topology in data analysis, known as Topological Data Analysis (TDA), is now a promising new ar...
The clustering of objects-individuals is one of the most widely usedapproaches to exploring multidim...
Motivation: Unbiased clustering methods are needed to analyze growing numbers of complex data sets. ...
Clustering is common technique used to demonstrate relationships between data and information. Of re...
Topological data analysis is a noble approach to extract meaningful information from high-dimensiona...
<div><p>We introduce a graph-theoretic approach to extract clusters and hierarchies in complex data-...
International audienceThe clustering of objects (individuals or variables) is one of the most used a...
One of the goals of precision medicine is to classify patients into subgroups that differ in their s...
One of the goals of precision medicine is to classify patients into subgroups that differ in their s...
There is a growing need for unbiased clustering algorithms, ideally automated to analyze complex dat...
We discuss topological aspects of cluster analysis and show that inferring the topological structure...
International audienceThe exponential growth of data generates terabytes of very large databases. Th...
Thesis (Ph.D.)--University of Washington, 2020Many real-world data sets can be viewed as a noisy sam...
Topological Data Analysis (TDA) combines topology and data analytics which offers a new perspective ...
This dissertation presents novel approaches and applications of machine learning architectures. In p...
Using topology in data analysis, known as Topological Data Analysis (TDA), is now a promising new ar...
The clustering of objects-individuals is one of the most widely usedapproaches to exploring multidim...
Motivation: Unbiased clustering methods are needed to analyze growing numbers of complex data sets. ...
Clustering is common technique used to demonstrate relationships between data and information. Of re...
Topological data analysis is a noble approach to extract meaningful information from high-dimensiona...
<div><p>We introduce a graph-theoretic approach to extract clusters and hierarchies in complex data-...
International audienceThe clustering of objects (individuals or variables) is one of the most used a...