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Classification: A Mathematical Mapping

  • Classification: predicts categorical class labels
    • E.g., Personal homepage classification
      • xi = (x1, x2, x3, …), yi = +1 or –1
      • x1 : # of word “homepage”
      • x2 : # of word “welcome”
  • Mathematically, x ∈ X = R^n, y ∈ Y = {+1, –1},
    • We want to derive a function f: X → Y
  • Linear Classification
    • Binary Classification problem
    • Data above the red line belongs to class ‘x’
    • Data below red line belongs to class ‘o’
    • Examples: SVM, Perceptron, Probabilistic Classifiers


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