Lecture 8 Blog, ECE662 Spring 2012, Prof. Boutin
Thursday February second, 2012 (Week 4)
Today we continued our study of the separating hypersurface in the case where, for all class $ i=1,\ldots,c $,
$ \Sigma_i=\sigma^2 {\mathbb I}. $
We noted the co-dimension two of the intersections of the segments of hyperplanes forming the decision boundary. We also drew a connection with a shape analysis tool called the "skeleton" of a shape.
We then slightly generalized our study to the case where the standard deviation matrix is the same for all classes $ i=1,\ldots,c $. We then noticed the presence of the Mahalanobis distance in the discriminant function, and derived the relationship between the Mahalanobis distance and the Euclidean distance through a simple change of coordinates. It was pointed out by Mark that this change of coordinates is called "whitening".
We also spent a lot of time discussing the first homework.
Previous: Lecture 7
Next: Lecture 9
Comments
Please write your comments and questions below.
- Write a comment here
- Write another comment here.
