Recently, I developed a new package for Julia (under JuliaStats): 
MultivariateStats <https://github.com/JuliaStats/MultivariateStats.jl>, for 
multivariate statistical analysis.

Currently, the following functionalities have been implemented:

   - Data Whitening
   - Principal Component Analysis (PCA)
   - Canonical Correlation Analysis (CCA)
   - Classical Multidimensional Scaling (MDS)
   - Linear Discriminant Analysis (LDA)
   - Multiclass LDA
   - Independent Component Analysis (ICA), FastICA

Github Address:  https://github.com/JuliaStats/MultivariateStats.jl
Documentation: 
http://multivariatestatsjl.readthedocs.org/en/latest/index.html

This package is supposed to supersede DimensionalityReduction.jl, and it is 
featured with more consistent API, optimized implementation, thorough 
documentation, and extensive testing.

The package has already been registered at METADATA. Please check out and 
enjoy!

Cheers,
Dahua

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