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Course Outline

Introduction

  • Overview of pattern recognition and machine learning
  • Key applications across various industries
  • The role of pattern recognition in modern technology

Probability Theory, Model Selection, Decision and Information Theory

  • Foundations of probability theory in the context of pattern recognition
  • Principles of model selection and evaluation
  • Decision theory and its practical applications
  • Core concepts of information theory

Probability Distributions

  • Survey of common probability distributions
  • The role of distributions in data modelling
  • Applications within pattern recognition

Linear Models for Regression and Classification

  • Introduction to linear regression
  • Concepts behind linear classification
  • Applications and constraints of linear models

Neural Networks

  • Foundations of neural networks and deep learning
  • Training neural networks for pattern recognition
  • Practical examples and case studies

Kernel Methods

  • Introduction to kernel methods in pattern recognition
  • Support vector machines and other kernel-based approaches
  • Applications in high-dimensional data sets

Sparse Kernel Machines

  • Understanding sparse models in pattern recognition
  • Techniques for achieving model sparsity and regularisation
  • Practical applications in data analysis

Graphical Models

  • Overview of graphical models in machine learning
  • Bayesian networks and Markov random fields
  • Inference and learning processes within graphical models

Mixture Models and EM

  • Introduction to mixture models
  • The Expectation-Maximisation (EM) algorithm
  • Applications in clustering and density estimation

Approximate Inference

  • Techniques for approximate inference in complex models
  • Variational methods and Monte Carlo sampling
  • Applications in large-scale data analysis

Sampling Methods

  • The importance of sampling in probabilistic models
  • Markov Chain Monte Carlo (MCMC) techniques
  • Applications in pattern recognition

Continuous Latent Variables

  • Understanding continuous latent variable models
  • Applications in dimensionality reduction and data representation
  • Practical examples and case studies

Sequential Data

  • Introduction to modelling sequential data
  • Hidden Markov models and related methodologies
  • Applications in time series analysis and speech recognition

Combining Models

  • Techniques for integrating multiple models
  • Ensemble methods and boosting
  • Strategies for enhancing model accuracy

Summary and Next Steps

Requirements

  • A solid understanding of statistics
  • Familiarity with multivariate calculus and foundational linear algebra
  • Basic experience with probabilities

Audience

  • Data analysts
  • PhD students, researchers, and industry practitioners
 21 Hours

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