msr-package: Data Analysis with the Morse-Smale Complex

Description

Discrete Morse-Smale complex approximation based on k-NN graph. The Morse-Smale complex provides a decomposition of the domain. This package provides methods to compute a hierarchical sequence of Morse-Smale complicies and tools that exploit this domain decomposition for regression and visualization of scalar functions.

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The core functionality rests on the discrete approximation of the Morse-Smale complex from a sample of a function (see msc.nn, msc.nn.svm, msc.nn.kd.

Based on this functionality the regression approach in [2] (see msc.lm and msc.slm) and the explorartory data anlsysis approach based on the visualization in [3] (see plot.msc) is implemented.

References

[1] Samuel Gerber and Kristin Potter The Morse-Smale Complex for Data Analysis, Journal of Statistical Software, 2012, vol. 50, no. 2, pp 1-22 [2] Samuel Gerber, Oliver Ruebel Peer-Timo Bremer, Valerio Pascucci, Ross Whitaker, Morse-Smale Regression, Journal of Computational and Graphical Statistics, 2012

[3] Samuel Gerber, Peer-Timo Bremer, Valerio Pascucci, Ross Whitaker, Visual Exploration of High Dimensional Scalar Functions, IEEE Transactions on Visualization and Computer Graphics, vol. 16, no. 6, pp 1271-1280, Nov.-Dec. 2010.

David M. Mount and Sunil Arya ANN library http://www.cs.umd.edu/~mount/ANN/

Description

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