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EEL6825: Tentative Outline

TENTATIVE EEL 6825 COURSE OUTLINE

AUG 24 L01 Introduction
AUG 26 L02 Bayes Decision Rule, 1D example, two-class, multi-class
AUG 28 L03 Univariate Normal, multivariate, covariance matrix,
           linear transforms, eigenvectors/values, plotting

AUG 31 L04 Mahalanobis distance, linear transform of,
           what do discrim surfaces look like? sigma_i same
SEP 02 L05 General quadratic decision boundaries
SEP 04 L06 How to compute and estimate error

SEP 07     NO CLASS
SEP 09 L07 Maximum Liklihood estimates of mean and variance
           bias, consistency
           how to create arbitrary Gaussian distribs
SEP 11 L08  HW #1 Due, review linear transforms, distance is preserved
           whitening, distance is not preserved
           simultaneous diagonalization

SEP 14 L09 Bhat bound
           Parametric classifiers, linear classifiers
           linear classifier design
           Fisher criterion
SEP 16 L10 linear classifiers/more interpretation
           linear separable
           MSE, iterative schemes
SEP 18 L11 MSE scheme
           resubstitution/holdout method
           test vs. training set 

SEP 21 L12 Introductions to Linear Classifiers
nonlinear features
           quadratic classifier
SEP 23 L13 generalization of linear bayes to multiclass,
            curse of dim
           bad use of test and training
SEP 25 L14 Optimal Linear Classifiers/ Fisher criterion

How much data do you need?
           how much data for classifier, for estimating error?
           HW #2 Due

compute Bayes error for multivariate (in general hard)
           how does error change with dimension?
           normals are not the only distrib (exponential example) 

SEP 28 L15  Review for Exam
SEP 30      No class (Yom Kippur)
OCT 02      Exam I

OCT 05 L16  Go over Exam.
OCT 07 L17  Parzen Windows
OCT 09 L18  introduce 1-NN, k-NN

OCT 12 L19 error for 1-NN, k-NN
OCT 14 L20 resubstitution, hold-out, leave-one-out
OCT 16 L21 k-NN

OCT 19 L22 Neural Networks
OCT 21 L23 Neural Networks HW#3 due
OCT 23 L24 Neural Networks  

OCT 26 L25 Neural Networks
OCT 28 L26 Neural Networks
OCT 30 L27 Neural Networks

NOV 02 L28 Neural Networks
NOV 04 L29 Neural Networks HW #4 DUE
NOV 06 L30 Review for Exam

NOV 09     EXAM II
NOV 11     NO CLASS Veteran's Day
NOV 13     NO CLASS Homecoming

NOV 16 L32 Go over exam
NOV 18 L33 Trace optimization 
NOV 20 L34 Trace optimization

NOV 23 L32 Image Processing, speech processing, HW #5 DUE
NOV 25     NO CLASS THANKSGIVING
NOV 27     NO CLASS THANKSGIVING

NOV 30 AWAY 
DEC 02 AWAY
DEC 04 AWAY

DEC 07 L33 FINAL PROJECTS
DEC 09 L34 FINAL PROJECTS DUE



Dr John Harris
1998-12-19