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Persistence: A versatile library for topological data analysis.

[ bsd3, data, library, math ] [ Propose Tags ]

A topological data analysis library motivated by flexibility when it comes to the type of data being analyzed. If your data comes with a meaningful binary function into into an ordered set, you can use Persistence to analyze your data. The library also provides functions for analyzing directed/undirected, weighted/unweighted graphs. See the README for resources on learning about topological data anlysis.

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Versions [faq] 1.0, 1.1, 1.1.1, 1.1.2, 1.1.3, 1.1.4, 1.1.4.1, 1.1.4.2, 2.0, 2.0.1, 2.0.2, 2.0.3
Change log changelog.md
Dependencies base (>=4.0 && <4.13), containers (>0.5), maximal-cliques (>=0.1), parallel (==3.2.*), vector (>=0.12) [details]
License BSD-3-Clause
Copyright 2019 Eben Kadile
Author Eben Kadile
Maintainer eben.cowley42@gmail.com
Revised Revision 1 made by Ebanflo at 2019-07-16T05:43:27Z
Category Data, Math
Home page https://github.com/Ebanflo42/Persistence
Bug tracker https://github.com/Ebanflo42/Persistence/issues
Source repo head: git clone https://github.com/Ebanflo42/Persistence
Uploaded by Ebanflo at 2019-07-16T05:22:43Z
Distributions NixOS:2.0.3
Downloads 4667 total (20 in the last 30 days)
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Status Hackage Matrix CI
Docs available [build log]
Last success reported on 2019-07-16 [all 1 reports]

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Note: This package has metadata revisions in the cabal description newer than included in the tarball. To unpack the package including the revisions, use 'cabal get'.

Maintainer's Corner

For package maintainers and hackage trustees

Readme for Persistence-2.0

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Persistence

A topological data analysis library for Haskell.

This library is motivated by flexibility when it comes to the type of data being analyzed. If your data comes with a meaningful binary function into into an ordered set, you can use Persistence to analyze your data. The library also provides functions for analyzing directed/undirected, weighted/unweighted graphs.

Visit https://hackage.haskell.org/package/Persistence to see the documentation for the stable version. There is also documentation in each module.

GitHub: https://github.com/Ebanflo42/Persistence

If you have the Haskell stack tool installed, compile and run tests with stack test (you may have to expose the modules Util and Matrix in the file Persistence.cabal to get it to work).

Learning about Topological Data Analysis

Computing simplicial homology:

https://jeremykun.com/2013/04/10/computing-homology/

Constructing the Vietoris-Rips complex:

https://pdfs.semanticscholar.org/e503/c24dcc7a8110a001ae653913ccd064c1044b.pdf

Constructing the Cech complex:

https://www.academia.edu/15228439/Efficient_construction_of_the_%C4%8Cech_complex

Computing persistent homology:

http://geometry.stanford.edu/papers/zc-cph-05/zc-cph-05.pdf

The algorithm for finding the directed clique complex is inspired by the pseudocode in the supplementary materials of this paper:

https://www.frontiersin.org/articles/10.3389/fncom.2017.00048/full

Computing and working with persistence landscapes:

https://academic.csuohio.edu/bubenik_p/papers/persistenceLandscapes.pdf

Major TODOs:

Testing.hs:

  1. More tests for Persistence landscape functions.

  2. Make some filtrations whose vertices don't all have index 0 and test persistent homology on them.

SimplicialComplex.hs:

  1. Fix simplicial homology over the integers.

  2. Implement construction of the Cech complex (n points form an (n-1)-simplex if balls of a certain radius centered at each of the points intersect).

  3. Implement construction of the alpha-complex (sub-complex of the Delaunay triangulation where the vertices of every simplex are within a certain distance).

General:

  1. Update documentation for Filtration.hs once more changes have been finalized.

  2. A more consistent, well-motivated, and concise philosophy for parallelism needs to be implemented.

See each of the files for an overview of its inner-workings.