Bayesian Classification

Understanding Classification Approaches

Discriminative vs Generative Classifiers

  1. Discriminative Classifiers (e.g., Linear Perceptrons)

    • Learn decision boundaries directly
    • Effective for well-separated classes
    • Focus on class separation
    • Simpler to implement
  2. Generative Classifiers (Bayesian Approach)

    • Model each class as a random vector
    • Use probability distributions/density functions
    • Consider class likelihoods
    • More flexible in handling complex data

Bayesian Classification

The experiment focuses on understanding how Bayesian classification:

  • Computes class probabilities using Bayes' rule
  • Combines prior knowledge with observed evidence
  • Makes decisions based on posterior probabilities
  • Handles uncertainty in classification

Key Concepts

  • Prior probabilities
  • Likelihood functions
  • Posterior probabilities
  • Decision boundaries
  • Class density functions