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How to find the perfect regularization number?

How to find the perfect regularization number?
  1. How do you calculate regularization?
  2. How do you choose the value of the Regularisation parameter λ?
  3. What should be the value of regularization parameter?

How do you calculate regularization?

The principle behind regularization is that it works by adding a penalty or complexity term to the complex model. Considering the simple linear regression equation: y = β0+β1×1+β2×2+β3×3+⋯+βnxn +b, where y represents the value to be predicted and X1, X2, …Xn represents the features for Y. Also, β0,β1,…..

How do you choose the value of the Regularisation parameter λ?

When choosing a lambda value, the goal is to strike the right balance between simplicity and training-data fit: If your lambda value is too high, your model will be simple, but you run the risk of underfitting your data. Your model won't learn enough about the training data to make useful predictions.

What should be the value of regularization parameter?

The regularization parameter, ϵ, is reduced from an initial value of 10 by a factor of 0.1 to a value of 1x10-6 when the optimality and integrity conditions are deemed satisfied. The MPCC problem is modified when the regularization parameter is updated, and solved again.

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