When to Choose L2 (Ridge Regression) Over L1 (Lasso Regression)?

Discover when to select L2 regression for model complexity and multicollinearity handling.

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Choose L2 (Ridge Regression) when you have many features, need to handle multicollinearity, or aim to reduce model complexity and prevent overfitting. L2 adds a penalty for high coefficients but never eliminates features entirely, making it suitable for scenarios where all features might hold some value and you want to smoothen the model's response.

FAQs & Answers

  1. What is L2 regression? L2 regression, also known as Ridge Regression, adds a penalty equal to the square of the magnitude of coefficients to the loss function, helping to reduce model complexity.
  2. When should I use L2 regression? Use L2 regression when dealing with multicollinearity or when you want to keep all features in your model while reducing the risk of overfitting.
  3. What is the main difference between L1 and L2 regression? The main difference is that L1 regression (Lasso) can eliminate features entirely, while L2 regression (Ridge) penalizes coefficients to smooth the model without removing features.
  4. Can L2 regression be used for feature selection? L2 regression is not ideal for feature selection since it does not eliminate features; it is better suited for scenarios where all features may provide value.