This project is an introduction and overview of Mapper. Mapper is a method of high dimensional data visualization. Data visualization is a very important part of data analysis as it allows for further interpretation and exploration of data. Visualization of high dimensional data sets can be challenging as each variable is a new dimension that must be represented on a 2D, or at most 3D, graph. Mapper allows for high dimensional visualization by using Topological methods to study the relationships between points. This project goes over two different data set: the Iris data set, and a high dimensional data set called Fetal Health. This project goes over the two data sets and shows how to tune and interpret a Mapper graph
Due to the technological progress over the last decades, today’s scientific and commercial applicati...
International audienceThis tutorial presents topological methods for the analysis and visualization ...
Topological Data Analysis (TDA) is a new and fast growing research field developed over last two dec...
Topological Data Analysis (TDA) combines topology and data analytics which offers a new perspective ...
2022 Spring.Includes bibliographical references.Topological Data Analysis (TDA) uses ideas from topo...
Mapper is an algorithm for describing high-dimensional datasets in terms of simple geometric objects...
This paper surveys the Mapper technique introduced by Singh, Memoli, and Carlsson for summarizing fe...
This thesis is about visualizing a kind of data that is trivial to process by computers but difficul...
Clustering is common technique used to demonstrate relationships between data and information. Of re...
International audienceBackgroundThis paper exploits recent developments in topological data analysis...
Using topology in data analysis, known as Topological Data Analysis (TDA), is now a promising new ar...
The Mapper algorithm and persistent homology are topological data analysis tools used for analyzing ...
We apply topological data analysis, specifically the Mapper algorithm, to the U.S. COVID-19 data. Th...
This paper applies topological methods to study complex high dimensional data sets by extracting sha...
Networks are an exceedingly popular type of data for representing relationships between individuals,...
Due to the technological progress over the last decades, today’s scientific and commercial applicati...
International audienceThis tutorial presents topological methods for the analysis and visualization ...
Topological Data Analysis (TDA) is a new and fast growing research field developed over last two dec...
Topological Data Analysis (TDA) combines topology and data analytics which offers a new perspective ...
2022 Spring.Includes bibliographical references.Topological Data Analysis (TDA) uses ideas from topo...
Mapper is an algorithm for describing high-dimensional datasets in terms of simple geometric objects...
This paper surveys the Mapper technique introduced by Singh, Memoli, and Carlsson for summarizing fe...
This thesis is about visualizing a kind of data that is trivial to process by computers but difficul...
Clustering is common technique used to demonstrate relationships between data and information. Of re...
International audienceBackgroundThis paper exploits recent developments in topological data analysis...
Using topology in data analysis, known as Topological Data Analysis (TDA), is now a promising new ar...
The Mapper algorithm and persistent homology are topological data analysis tools used for analyzing ...
We apply topological data analysis, specifically the Mapper algorithm, to the U.S. COVID-19 data. Th...
This paper applies topological methods to study complex high dimensional data sets by extracting sha...
Networks are an exceedingly popular type of data for representing relationships between individuals,...
Due to the technological progress over the last decades, today’s scientific and commercial applicati...
International audienceThis tutorial presents topological methods for the analysis and visualization ...
Topological Data Analysis (TDA) is a new and fast growing research field developed over last two dec...