1. The Fisher Discriminant R. A. Fisher “The Use of Multiple Measurements in Taxonomic Problems” Annals of Eugenics, 1936.

2. Fisher Discriminant  What does the Fisher discriminant do?  Preliminaries – A Gradient Lemmapp.1-2 a b c1abc – Centers of Massp.33 – Standard Deviation Projectionsp.44 – Scatter Matricesp.55 – The Fisher Distancep.55 – Minimizing the Fisher Distancepp. 6- 767 – Summaryp.88

3. Fisher Discriminant  Assumptionsp.8a – Condition of the scatter matrix – Linear Separation  Use in Classificationpp.9-10 – Setting a threshold – ROC tradeoffs

4. Mahalanobis Distance Classifiers

5.  Multivariate Normal Densitypp.11-12  Contours  Mahalanobis Distance  Minimum Mahalanobis Distance Classifiers

6. The Curse of Dimensionality & Feature Selection / Reduction

7. The Curse of Dimensionality  The Curse of Dimensionalityp.13  A Solution: Feature Reduction versus Feature Selectionpp. 13-14  Feature Feature Selectionp. 15  Feature Reduction  Dynamic Programming p.16  Principle Components (Karhunen-Loeve Expansion)pp.17-22