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cifar-10's Introduction

Multiclass classification

Representation and Similarity Measures

Dataset: CIFAR-10 (32*32 images divided into 10 categories)

Representational error

For each category the top 20 eigenvectors of the data covariance matrix are calculated. The images are represented using these eigenvectors and projected into a reduced space. The error resulting from representing images of each category using these vectors is calculated and plotted.

Similarity of classes

Distance between means

The similarity of 2 classes can be computed by calculating the distance between their mean images. More distance corresponds to lesser similarity and vice versa. Distance function used : 2-norm. Here is the matrix for the similarity scores of the 10 classes:

Similarity through representational measures

Another measure of similarity between two classes A and B can be defined as : sim(A,B) = 1/2( E(A->B)+E(B->A))) where,E(A->B) is defined as the average error obtained by representing all images of class A using the mean of class A and the first 20 principal components of class B. This is the list of the 3 most similar classes for each class in the dataset obtained from this similarity measure.

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