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Mod-09 Lec-33 Kernel Functions for nonlinear SVMs; Mercer and positive definite Kernels
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Classroom Contents
Pattern Recognition
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- 1 Mod-01 Lec-01 Introduction to Statistical Pattern Recognition
- 2 Mod-01 Lec-02 Overview of Pattern Classifiers
- 3 Mod-02 Lec-03 The Bayes Classifier for minimizing Risk
- 4 Mod-02 Lec-04 Estimating Bayes Error; Minimax and Neymann-Pearson classifiers
- 5 Mod-03 Lec-05 Implementing Bayes Classifier; Estimation of Class Conditional Densities
- 6 Mod-03 Lec-06 Maximum Likelihood estimation of different densities
- 7 Mod-03 Lec-07 Bayesian estimation of parameters of density functions, MAP estimates
- 8 Mod-03 Lec-08 Bayesian Estimation examples; the exponential family of densities and ML estimates
- 9 Mod-03 Lec-09 Sufficient Statistics; Recursive formulation of ML and Bayesian estimates
- 10 Mod-04 Lec-10 Mixture Densities, ML estimation and EM algorithm
- 11 Mod-04 & 05 Lec-11 Convergence of EM algorithm; overview of Nonparametric density estimation
- 12 Mod-05 Lec-12 Nonparametric estimation, Parzen Windows, nearest neighbour methods
- 13 Mod-06 Lec-13 Linear Discriminant Functions; Perceptron -- Learning Algorithm and convergence proof
- 14 Mod-06 Lec-14 Linear Least Squares Regression; LMS algorithm
- 15 Mod-06 Lec-15 AdaLinE and LMS algorithm; General nonliner least-squares regression
- 16 Mod-06 Lec-16 Logistic Regression; Statistics of least squares method; Regularized Least Squares
- 17 Mod-06 Lec-17 Fisher Linear Discriminant
- 18 Mod-06 Lec-18 Linear Discriminant functions for multi-class case; multi-class logistic regression
- 19 Mod-07 Lec-19 Learning and Generalization; PAC learning framework
- 20 Mod-07 Lec-20 Overview of Statistical Learning Theory; Empirical Risk Minimization
- 21 Mod-07 Lec-21 Consistency of Empirical Risk Minimization
- 22 Mod-07 Lec-22 Consistency of Empirical Risk Minimization; VC-Dimension
- 23 Mod-07 Lec-23 Complexity of Learning problems and VC-Dimension
- 24 Mod-07 Lec-24 VC-Dimension Examples; VC-Dimension of hyperplanes
- 25 Mod-08 Lec-25 Overview of Artificial Neural Networks
- 26 Mod-08 Lec-26 Multilayer Feedforward Neural networks with Sigmoidal activation functions;
- 27 Mod-08 Lec-27 Backpropagation Algorithm; Representational abilities of feedforward networks
- 28 Mod-08 Lec-28 Feedforward networks for Classification and Regression; Backpropagation in Practice
- 29 Mod-08 Lec-29 Radial Basis Function Networks; Gaussian RBF networks
- 30 Mod-08 Lec-30 Learning Weights in RBF networks; K-means clustering algorithm
- 31 Mod-09 Lec-31 Support Vector Machines -- Introduction, obtaining the optimal hyperplane
- 32 Mod-09 Lec-32 SVM formulation with slack variables; nonlinear SVM classifiers
- 33 Mod-09 Lec-33 Kernel Functions for nonlinear SVMs; Mercer and positive definite Kernels
- 34 Mod-09 Lec-34 Support Vector Regression and ?-insensitive Loss function, examples of SVM learning
- 35 Mod-09 Lec-35 Overview of SMO and other algorithms for SVM; ?-SVM and ?-SVR; SVM as a risk minimizer
- 36 Mod-09 Lec-36 Positive Definite Kernels; RKHS; Representer Theorem
- 37 Mod-10 Lec-37 Feature Selection and Dimensionality Reduction; Principal Component Analysis
- 38 Mod-10 Lec-38 No Free Lunch Theorem; Model selection and model estimation; Bias-variance trade-off
- 39 Mod-10 Lec-39 Assessing Learnt classifiers; Cross Validation;
- 40 Mod-11 Lec-40 Bootstrap, Bagging and Boosting; Classifier Ensembles; AdaBoost
- 41 Mod-11 Lec-41 Risk minimization view of AdaBoost
