PCCAPlus

Julia implementation of PCCA+

https://github.com/axsk/pccaplus.jl

Science Score: 31.0%

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    Found 4 DOI reference(s) in README
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    Low similarity (8.2%) to scientific vocabulary

Keywords

julia package pcca zib
Last synced: 6 months ago · JSON representation ·

Repository

Julia implementation of PCCA+

Basic Info
  • Host: GitHub
  • Owner: axsk
  • License: mit
  • Language: Julia
  • Default Branch: main
  • Homepage:
  • Size: 130 KB
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  • Open Issues: 7
  • Releases: 1
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julia package pcca zib
Created over 4 years ago · Last pushed about 1 year ago
Metadata Files
Readme License Citation

README.md

PCCAPlus

Stable Dev Build Status Coverage

A KISS style implementation of PCCA+ (Robust Perron Cluster Analysis) [1,2] with support for non-reversible systems [3]. For a similar python implementation see also the cmdtools package.

Basic usage

```julia using PCCAPlus

P=rand(10,10) P = P ./ sum(P, dims=2) # row stochastic matrix

basic PCCA+ clustering with 2 clusters (using no weighting and the ISA initial guess only)

chi = pcca(P, 2)

using KrylovKit using SparseArrays P = sprand(100,100, 0.1) P = P ./ sum(P, dims=2) # sparse row stochastic matrix

solve the PCCA+ problem weighted with the stationary density

and optimize for crispness, using the KrylovKit.jl eigensolver

chi = pcca(P, 2; pi=:stationary, optimize=true, solver=KrylovSolver()) ```

For sparse matrix support, add either the ArnoldiMethod.jl or KrylovKit.jl and pass the corresponding ArnoldiSolver() or KrylovSolver() as a solver.

References

  1. 2006, M. Weber: Meshless Methods in Conformation Dynamics
  2. 2013, S. Röblitz, M. Weber: Fuzzy Spectral Clustering by PCCA+
  3. 2018, K. Fackeldey, A. Sikorski, M. Weber: Spectral Clustering for Non-Reversible Markov Chains

Owner

  • Name: Alexander
  • Login: axsk
  • Kind: user
  • Location: Berlin
  • Company: Zuse Institute Berlin

Mathematician

Citation (CITATION.bib)

@misc{PCCAPlus.jl,
	author  = {Alexander Sikorski},
	title   = {PCCAPlus.jl},
	url     = {https://github.com/axsk/PCCAPlus.jl},
	version = {v0.1.0},
	year    = {2021},
	month   = {11}
}

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  • Total packages: 1
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  • Total dependent packages: 0
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  • Total versions: 4
juliahub.com: PCCAPlus

Julia implementation of PCCA+

  • Versions: 4
  • Dependent Packages: 0
  • Dependent Repositories: 0
  • Downloads: 2 Total
Rankings
Dependent repos count: 10.1%
Average: 25.3%
Dependent packages count: 40.4%
Last synced: 6 months ago

Dependencies

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