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List of resources for TDA
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| # Quick List of Resources for Topological Data Analysis | |
| ## Survey Papers | |
| Both Carlsson's and Ghrist's survey papers offer a very good introduction to the subject | |
| * [Topology and Data](http://www.ams.org/journals/bull/2009-46-02/S0273-0979-09-01249-X/S0273-0979-09-01249-X.pdf) by Gunnar Carlsson | |
| * [Barcodes: The Persistent Topology of Data](https://www.math.upenn.edu/~ghrist/preprints/barcodes.pdf) | |
| ## Other Papers and Web Resources | |
| * [Extracting insights from the shape of complex data using topology](http://www.nature.com/articles/srep01236) A good introductory paper in Nature on the `Mapper` algorithm. | |
| * [Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition](https://research.math.osu.edu/tgda/mapperPBG.pdf) A more technical presentation of `Mapper`. | |
| * [Topological Data Analysis and Machine Learning Theory](https://www.birs.ca/workshops/2012/12w5081/report12w5081.pdf) Applications of TDA to machine learning. | |
| * Ayasdi, the company founded by Gurjeet Singh and Gunnar Carlsson, have several good [videos and whitepapers](http://www.ayasdi.com/resources) on how they use `Mapper` and TDA in machine learning pipelines. | |
| ## Software | |
| ## Books | |
| * [Computational Topology: An Introduction](http://www.amazon.com/Computational-Topology-Introduction-Herbert-Edelsbrunner/dp/0821849255) A good introducgtory book on persistent homology | |
| * [Elementary Applied Topology](https://www.math.upenn.edu/~ghrist/notes.html) A book by Robert Ghrist that goes beyond applications of algebraic toplogy to data analysis, but a very good read. There is a very inexpensive print version and the PDF is available for free. | |
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