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Course Outline

DAY 1 - ARTIFICIAL NEURAL NETWORKS

Introduction and ANN Structure.

  • Comparison between biological neurons and artificial neurons.
  • The structural model of an ANN.
  • Activation functions utilized in ANNs.
  • Common categories of network architectures.

Mathematical Foundations and Learning mechanisms.

  • Review of vector and matrix algebra.
  • State-space concepts.
  • Principles of optimization.
  • Learning via error correction.
  • Memory-based learning approaches.
  • Hebbian learning.
  • Competitive learning strategies.

Single layer perceptrons.

  • Structure and learning processes of perceptrons.
  • Introduction to pattern classification and Bayes' classifiers.
  • Utilizing perceptrons as pattern classifiers.
  • Convergence of the perceptron.
  • Constraints inherent to perceptrons.

Feedforward ANN.

  • Structures of multi-layer feedforward networks.
  • The back propagation algorithm.
  • Training and convergence in back propagation.
  • Functional approximation using back propagation.
  • Practical considerations and design challenges in back propagation learning.

Radial Basis Function Networks.

  • Pattern separability and interpolation techniques.
  • Theory of regularization.
  • Regularization applied to RBF networks.
  • Design and training of RBF networks.
  • Approximation properties of RBFs.

Competitive Learning and Self organizing ANN.

  • General clustering procedures.
  • Learning Vector Quantization (LVQ).
  • Algorithms and architectures for competitive learning.
  • Self-organizing feature maps.
  • Key properties of feature maps.

Fuzzy Neural Networks.

  • Neuro-fuzzy systems.
  • Foundations of fuzzy sets and logic.
  • Design of fuzzy stems.
  • Design of fuzzy ANNs.

Applications

  • Discussion of select Neural Network applications, highlighting their benefits and potential challenges.

DAY -2 MACHINE LEARNING

  • The PAC Learning Framework
    • Guarantees for finite hypothesis sets – consistent case
    • Guarantees for finite hypothesis sets – inconsistent case
    • Generalities
      • Deterministic vs. Stochastic scenarios
      • Bayes error noise
      • Estimation and approximation errors
      • Model selection
  • Radmeacher Complexity and VC – Dimension
  • Bias - Variance tradeoff
  • Regularisation
  • Over-fitting
  • Validation
  • Support Vector Machines
  • Kriging (Gaussian Process regression)
  • PCA and Kernel PCA
  • Self Organisation Maps (SOM)
  • Kernel induced vector space
    • Mercer Kernels and Kernel - induced similarity metrics
  • Reinforcement Learning

DAY 3 - DEEP LEARNING

This module will be taught in relation to the topics covered on Day 1 and Day 2

  • Logistic and Softmax Regression
  • Sparse Autoencoders
  • Vectorization, PCA and Whitening
  • Self-Taught Learning
  • Deep Networks
  • Linear Decoders
  • Convolution and Pooling
  • Sparse Coding
  • Independent Component Analysis
  • Canonical Correlation Analysis
  • Demos and Applications

Requirements

A solid grasp of mathematical principles.

A strong understanding of fundamental statistics.

While basic programming skills are not mandatory, they are strongly recommended.

 21 Hours

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