Revision as of 12:48, 2 February 2012 by Mboutin (Talk | contribs)


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.

Relevant Rhea Pages

Previous: Lecture 7

Next: Lecture 9


Comments

Please write your comments and questions below.

  • Write a comment here
  • Write another comment here.

Back to ECE662 Spring 2012

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang