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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,5 +1,5 @@ # Quick List of Resources for Topological Data Analysis with Emphasis on Machine Learning This is just a quick list of resourses on TDA that I put together for [@rickasaurus](https://twitter.com/rickasaurus) after he was asking for links to papers, books, etc on Twitter and is by no means an exhaustive list. ## Survey Papers Both Carlsson's and Ghrist's survey papers offer a very good introduction to the subject -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,5 +1,5 @@ # Quick List of Resources for Topological Data Analysis with Emphasis on Machine Learning This is just a quick list of resourses on TDA that I through together for [@rickasaurus](https://twitter.com/rickasaurus) after he was asking for links to papers, books, etc on Twitter and is by no means an exhaustive list. ## Survey Papers Both Carlsson's and Ghrist's survey papers offer a very good introduction to the subject -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,4 +1,5 @@ # Quick List of Resources for Topological Data Analysis with Emphasis on Machine Learning This is just a quick list of resourses on TDA that I through together for [@rickasaurus](https://twitter.com/rickasaurus) after he was asking for links to papers, books, etc on Twitter. ## Survey Papers Both Carlsson's and Ghrist's survey papers offer a very good introduction to the subject -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,4 +1,4 @@ # Quick List of Resources for Topological Data Analysis with Emphasis on Machine Learning ## Survey Papers Both Carlsson's and Ghrist's survey papers offer a very good introduction to the subject -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -10,6 +10,7 @@ Both Carlsson's and Ghrist's survey papers offer a very good introduction to the * [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, has several good [videos and whitepapers](http://www.ayasdi.com/resources) on how they use `Mapper` and TDA in machine learning pipelines. * [Applied Algebraic Topology Research Network](https://www.ima.umn.edu/topology/) An online research symposium through the IMA that has several recorded talks dealing with TDA and machine learning. ## Software * [Mapper in Python](http://danifold.net/mapper/) -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -20,4 +20,5 @@ Both Carlsson's and Ghrist's survey papers offer a very good introduction to the ## 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 is a very good read. There is a very inexpensive print version and the PDF is available for free. * [Topological Signal Processing](http://www.amazon.com/Topological-Signal-Processing-Mathematical-Engineering/dp/364236103X) Not directly related to data analysis, but a good book on using topological methods in signal processing. -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -19,5 +19,5 @@ Both Carlsson's and Ghrist's survey papers offer a very good introduction to the ## 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 is a very good read. There is a very inexpensive print version and the PDF is available for free. -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -3,15 +3,19 @@ ## 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) by Robert Ghrist ## 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, has several good [videos and whitepapers](http://www.ayasdi.com/resources) on how they use `Mapper` and TDA in machine learning pipelines. ## Software * [Mapper in Python](http://danifold.net/mapper/) * [TDA: Statistical Tools for Topological Data Analysis](https://cran.r-project.org/web/packages/TDA/index.html) R package * [JavaPlex](https://github.com/appliedtopology/javaplex) Persistent Homology in Java and Matlab * [Perseus](http://www.sas.upenn.edu/~vnanda/perseus/) Persistent Homology in C++ ## Books * [Computational Topology: An Introduction](http://www.amazon.com/Computational-Topology-Introduction-Herbert-Edelsbrunner/dp/0821849255) A good introducgtory book on persistent homology -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,19 @@ # 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.