Dataset Concordia (targetcl. 5)

Basic characteristics Concordia (targetcl. 5)

400

target objects

The Concordia CENPARMI handwritten digits (16x16 pixels per image). Used in "Neural-Network Classifiers for Recognizing Totally Unconstrained Handwritten Numerals" by Cho, Sung-Bae. Download mat-file with Prtools dataset.

3600

outlier objects

256

features

Unsupervised PCA Concordia (targetcl. 5)

On the left, the PCA scatterplot is shown, on the right the retained variance for varying number of features.
On the left, the PCA scatterplot is shown of data rescaled to unit variance, on the right the retained variance.

Supervised Fisher Concordia (targetcl. 5)

On the left, the Fisher scatterplot is shown, on the right the ROC curve along this direction.

Results Concordia (targetcl. 5)

The experiments are performed using dd_tools. A rudimentary explanation of the classifiers is given in the classifier section.

535, 0 outliers, AUC (x100) 5x strat. 10-fold
Classifiers Preproc
none unit var PCA 95\%
Gauss 92.6 (0.0) 90.4 (0.0) 93.7 (0.0)
Min.Cov.Determinant NaN (0.0) NaN (0.0) NaN (0.0)
Mixture of Gaussians 93.1 (1.3) 90.1 (1.0) 92.1 (1.6)
Naive Parzen 84.8 (0.0) 85.8 (0.4) 92.9 (0.0)
Parzen 91.8 (0.0) 89.4 (0.0) 88.7 (0.0)
k-means 89.8 (0.4) 88.4 (0.2) 84.3 (0.9)
1-Nearest Neighbors 91.8 (0.0) 89.5 (0.0) 88.7 (0.0)
k-Nearest Neighbors 91.8 (0.0) 89.5 (0.0) 88.7 (0.0)
Nearest-neighbor dist 86.8 (0.0) 73.9 (0.0) 82.9 (0.0)
Principal comp. 94.5 (0.0) 91.0 (0.0) 92.7 (0.0)
Self-Organ. Map 92.4 (0.3) 89.3 (0.2) 88.5 (0.6)
Auto-enc network NaN (0.0) NaN (0.0) 87.7 (0.0)
MST 91.8 (0.0) 89.5 (0.0) 90.6 (0.0)
L_1-ball 55.6 (0.0) 55.6 (0.0) 87.9 (0.0)
k-center 88.9 (2.0) 87.7 (0.4) 83.6 (1.9)
Support vector DD 91.2 (0.1) 54.7 (0.8) 88.8 (0.1)
Minimax Prob. DD 91.9 (0.0) 89.3 (0.0) 88.8 (0.0)
LinProg DD 87.0 (0.0) 88.0 (0.0) 80.6 (0.0)
Lof DD 95.2 (0.0) 92.1 (0.0) 91.6 (0.0)
Lof range DD 96.1 (0.0) 92.6 (0.0) 93.5 (0.0)
Loci DD 84.2 (0.0) 86.8 (0.0) 80.7 (0.0)

Classifier projection spaces The first classifier projection spaces are obtained by computing the classifier label disagreements (setting the threshold on 10% target error) and applying an MDS on the resulting distance matrix between classifiers:



Original



Unit variance



PCA mapped

Classifier projection spaces The second versions of the classifier projection spaces are obtained by computing the classifier ranking disagreements and applying an MDS on the resulting distance matrix between classifiers:



Original



Unit variance



PCA mapped