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Parametric vs non-parametric models — what's the difference?

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Answer

  • Parametric models have a fixed number of parameters that doesn't grow with the dataset (linear regression, logistic regression, GLMs, Naive Bayes).
  • They make strong assumptions about the functional form and are fast + data-efficient when those assumptions hold.
  • Non-parametric models grow in complexity with the data (KNN, decision trees, kernel methods, Gaussian processes).
  • They are more flexible but need more data and are prone to overfit.
Check yourself — multiple choice
  • Non-parametric means no parameters at all
  • Parametric models have a fixed parameter count; non-parametric complexity grows with data
  • KNN is a parametric model
  • Linear regression is non-parametric

Parametric = fixed capacity. Non-parametric = capacity grows with data.

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