Skip to content

A Python implementation of RSLDA (paper "Robust Sparse Linear Discriminant Analysis").

Notifications You must be signed in to change notification settings

HoangPham3003/RSLDA-in-Python

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

8 Commits
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

Robust Sparse Linear Discriminant Analysis - RSLDA in Python

A Python implementation of RSLDA based on paper Wen J, Fang X, Cui J, et al. Robust sparse linear discriminant analysis[J]. IEEE Transactions on Circuits and Systems for Video Technology, 2018. doi:10.1109/TCSVT.2018.2799214
The original Matlab code of authors can be found at: https://github.com/ckghostwj/RSLDA

Requirements

  • Python 3
  • Scikit-learn
  • Scipy
  • tqdm

Main objectives

The RSLDA algorithm analyse features that effect directly on the result of classification problem. Following authors: "RSLDA can simultaneously select and extract the most discriminative features for classification". Therefore, RSLDA can be used for 2 main objectives: Features Selection and Features Extraction.
visual_plot

1. Features Selection

  • Authors: "Feature selection aims to select a few of the most important or relevant features from the original features to efficiently represent original data for a given task. It does not change the feature value but allows data to be better classified and more efficiently stored".

2. Features Extraction

  • Authors: "Feature extraction tries to learn a projection matrix that can transform the original high dimensional data into a low dimensional subspace".

Inferences

A simple inference was created to test the efficiency of RSLDA algorithm.
I used the medium subset of Music Analysis Data Set with 19922 training examples, 2573 testing examples, 518 features, 16 classes. The benchmark of classification for this data can be found in paper A Dataset For Music Analysis.
To test the efficiency of RSLDA, I reduced number of features from 518 (Acc = 62.88% as paper) to 500, 400, 300, 200, 100 respectively and train classification model with the same method as paper. The code in inference.ipynb can be downloaded and run for inferences. Results were described below:
infer_result

References

Very thanks to:

  1. Wen J, Fang X, Cui J, et al. Robust sparse linear discriminant analysis[J]. IEEE Transactions on Circuits and Systems for Video Technology, 2018. doi:10.1109/TCSVT.2018.2799214
  2. A Dataset For Music Analysis by @Michaël Defferrard