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K-Means, coverings, and Voronoi diagrams

January 23, 2015 · by Mirko · in Algorithms, Cluster algorithms, Data analysis

This is the 4th of a series of posts on cluster-algorithms and ideas in data analysis. The $k$-Means algorithm computes a Voronoi partition of the data set such that each landmark is given by the centroid of the corresponding cell….

Mapper – A discrete generalization of the Reeb graph

December 8, 2014 · by Mirko · in Algorithms, Cluster algorithms, Data analysis, Topological data analysis, Visualization

This is the third of a series of posts on cluster-algorithms and ideas in data analysis. Mapper is a construction that uses a given cluster-algorithm to associate a simplicial complex to a reference map on a given data set. It…

Density-based clustering in spatial data (2)

Density-based clustering in spatial data (2)

November 23, 2014 · by Mirko · in Algorithms, Cluster algorithms, Data analysis, density-based

This is the second of a series of posts on cluster-algorithms and ideas in data analysis (and related fields). Ordering points to identify the clustering structure (OPTICS) is a data clustering algorithm presented by Mihael Ankerst, Markus M. Breunig, Hans-Peter…

Density-based clustering in spatial data (1)

November 17, 2014 · by Mirko · in Algorithms, Cluster algorithms, Data analysis, density-based

This is the first of a series of posts on cluster-algorithms and ideas in data analysis (and related fields). Density-based spatial clustering of applications with noise (DBSCAN) is a data clustering algorithm proposed by Martin Ester, Hans-Peter Kriegel, Jörg Sander…

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algorithm Ayasdi cluster cluster algorithm clustering code covering data analysis data visualization DBSCAN density-based generalized Reeb graph Gunnar Carlsson implementation k-means Mapper OPTICS python simplicial complex spatial data spatial pooling topological data analysis voronoi cell voronoi diagram witness complex

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