Mapper

The Mapper algorithm

The Mapper algorithm is a method for topological data analysis invented by Gurjeet Singh, Facundo Mémoli and Gunnar Carlsson. See the Reference 1 for the publication. While the Mapper algorithm alone does not constitute a complete data analysis tool itself, it is the key part of a processing chain with (minimally) filter functions, the Mapper algorithm itself and visualization of the results.

References

1. G. Singh, F. Memoli, G. Carlsson (2007). Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition, Point Based Graphics 2007, Prague, September 2007.
2. J. Curry (2013). Sheaves, Cosheaves and Applications, arXiv 2013
3. T. K. Dey, F. Memoli, Y. Wang (2015), Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps, arXiv 2015
4. E. Munch, B. Wang (2015). Convergence between Categorical Representations of Reeb Space and Mapper, arXiv 2015
5. E. Munch, B. Wang (2015). Reeb Space Approximation with Guarantees, The 25th Fall Workshop on Computational Geometry 2015.