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What is regularization, why do we use it, and give some examples of common methods?

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A technique that discourages learning a more complex or flexible model, so as to avoid the risk of overfitting. Examples

Ridge (L2 norm)

Lasso (L1 norm)

The obvious disadvantage of ridge regression, is model interpretability. It will shrink the coefficients for least important predictors, very close to zero. But it will never make them exactly zero. In other words, the final model will include all predictors. However, in the case of the lasso, the L1 penalty has the effect of forcing some of the coefficient estimates to be exactly equal to zero when the tuning parameter λ is sufficiently large. Therefore, the lasso method also performs variable selection and is said to yield sparse models. 

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