P11

Polynomial Fitting and Regularization

Exact L1 and L2 regularized polynomial fitting

Data

Noise standard deviation 0.20

0 standard deviation

Regularization

Enable regularization

Regularization strength

Lambda 0.010

0 0.50

Optimization

Train loss -

Test loss -

Objective -

Non-zero coefficients

0 / 11

Fitting parameters

Objective

y = w₀ + w₁x + ⋯ + w₁₁x¹¹

No regularization.

Polynomial model

Regularization OFF

Generalization

Train loss -

Test loss -

Lambda 0.0100

training data

testing data

fitted polynomial

true function