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Course Outline

DAY 1 - ARTIFICIAL NEURAL NETWORKS

Introduction and ANN Structure.

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

Mathematical Foundations and Learning mechanisms.

  • Refresher on vector and matrix algebra.
  • Understanding state-space concepts.
  • Principles of optimization.
  • Error-correction learning methods.
  • Memory-based learning approaches.
  • Hebbian learning theory.
  • Competitive learning strategies.

Single layer perceptrons.

  • Architecture and learning processes of perceptrons.
  • Introduction to pattern classifiers and Bayes' classifiers.
  • Utilizing perceptrons as pattern classifiers.
  • Perceptron convergence behavior.
  • Constraints and limitations of perceptrons.

Feedforward ANN.

  • Configuration of Multi-layer feedforward networks.
  • The Back propagation algorithm.
  • Training and convergence in Back propagation.
  • Functional approximation using Back propagation.
  • Practical considerations and design issues in Back propagation learning.

Radial Basis Function Networks.

  • Pattern separability and interpolation techniques.
  • Regularization Theory.
  • Integration of Regularization and RBF networks.
  • Design and training of RBF networks.
  • Approximation capabilities of RBF.

Competitive Learning and Self organizing ANN.

  • General procedures for clustering.
  • 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 systems.
  • Design of fuzzy ANNs.

Applications

  • A discussion of select Neural Network applications, highlighting their benefits 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 vs. Stochastic scenarios
      • Bayes error noise
      • Estimation and approximation errors
      • Model selection
  • Rademacher 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 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 is essential.

A strong foundation in basic statistics is required.

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

 21 Hours

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  • Customized Content: We adapt the syllabus and practical exercises to the real goals and needs of your project.
  • Flexible Schedule: Dates and times adapted to your team's agenda.
  • Format: Online (live), In-company (at your offices), or Hybrid.
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