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 Duration 21 hours

Course Outline

DAY 1 - ARTIFICIAL NEURAL NETWORKS

Introduction and ANN Structure.

  • The relationship between biological neurons and artificial neurons.
  • The structural model of an ANN.
  • Activation functions employed in ANNs.
  • Common classifications of network architectures.

Mathematical Foundations and Learning Mechanisms.

  • A review of vector and matrix algebra.
  • Concepts related to state-space.
  • Principles of optimization.
  • Error-correction learning.
  • Memory-based learning.
  • Hebbian learning.
  • Competitive learning.

Single Layer Perceptrons.

  • The structure and learning process of perceptrons.
  • Introduction to pattern classifiers and Bayes' classifiers.
  • The perceptron's role as a pattern classifier.
  • Perceptron convergence.
  • The limitations inherent in perceptrons.

Feedforward ANN.

  • The structure of multi-layer feedforward networks.
  • The backpropagation algorithm.
  • Backpropagation regarding training and convergence.
  • Functional approximation using backpropagation.
  • Practical and design considerations for backpropagation learning.

Radial Basis Function Networks.

  • Pattern separability and interpolation.
  • Theory of Regularization.
  • Regularization in the context of RBF networks.
  • Design and training of RBF networks.
  • The approximation capabilities of RBF.

Competitive Learning and Self-organizing ANN.

  • General clustering methods.
  • Learning Vector Quantization (LVQ).
  • Competitive learning algorithms and their architectures.
  • Self-organizing feature maps.
  • Characteristics of feature maps.

Fuzzy Neural Networks.

  • Neuro-fuzzy systems.
  • The background of fuzzy sets and logic.
  • Designing fuzzy stems.
  • Designing fuzzy ANNs.

Applications

  • A discussion of select Neural Network applications, highlighting their advantages and associated 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 versus Stochastic scenarios
      • Bayes error noise
      • Estimation and approximation errors
      • Model selection
  • Rademacher Complexity and VC – Dimension
  • The 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

Content is 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 mathematics is essential.

A strong understanding of basic statistics is required.

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

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