(0) Cover
(1) Last Time
(2) Example
(3) EM Clustering\small
(4) Example of the EM algorithm for Soft Clustering
(5) Multivariate Normal Distributions
(6) The EM algorithm for Gaussian Mixtures
(7) Iterative Solution
(8) Initialization
(9) Expectation Step
(10) Maximization Step
(11) Example of a Gaussian mixture
(12) Other Methods of Dimensionality Reduction
(13) Document-by-word Matrix
(14) Least-Squares Methods: Linear Regression
(15) Least-Squares Methods: Linear Regression
(16) Linear Regression
(17) Singular Value Decomposition(SVD)
(18) Singular Value Decomposition
(19) Intuition
(20) Original Matrix
(21) T Matrix
(22) D^T Matrix
(23) Matrix of Singular Values
(24) Reduction
(25) Pros and Cons
(26) Conclusions


Postscript