COURSE LAYOUT
Week 1: Introduction, human brain, models of a neuron, neural communication, neural networks as directed graphs, network architectures (feed-forward, feedback etc.), knowledge representation. Week 2: Learning processes, learning tasks, Perceptron, perceptron convergence theorem, relationship between perceptron and Bayes classifiers, batch perceptron algorithm Week 3: Modeling through regression, linear and logistic regression for multiple classes. Week 4: Multilayer perceptron, batch and online learning, derivation of the back propagation algorithm, XOR problem, Role of Hessian in online learning, annealing and optimal control of learning rate Week 5: Approximations of functions, cross-validation, network pruning and complexity regularization, convolution networks, non-linear filtering Week 6: Covers theorem and pattern separability, the interpolation problem, RBF networks, hybrid learning procedure for RBF networks, Kernel regression and relationship to RBFs. Week 7: Support vector machines, optimal hyperplane for linear separability, optimal hyperplane for nonseparable patterns, SVM as a kernel machine,design of SVMs, XOR problem revisted, robustness considerations for regression Week 8: SVMs contd. Optimal solution of the linear regression problem, representer theorem and related discussions. Introduction to regularization theory Week 9: Hadamards condition for well-posedness, Tikhonov regularization, regularization networks, generalized RBF networks, estimation of regularization parameter etc Week 10: L1 regularization basics, algorithms and extensions Week 11: Principal component analysis: Hebbian based PCA, Kernel based PCA, Kernel Hebbian algorithm Week 12: Deep multi-layer perceptrons, deep autoencoders and stacked denoising auto-encoders. Thanks to the support from MathWorks, enrolled students have access to MATLAB for the duration of the course.
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