MATH 456 Quiz 10

Given on 2026-04-30

1. Consider regularized linear regression where

   a. As , which model is recovered?

   b. As , which model is recovered?

2. Which penalty term(s) is(are) appropriate for logistic regression?

   a. ,

   b. ,

   c. ,

   d. All of the above.

3. For an appropriate choice of , what can penalization/regularization help?

4. For a wrong choice of , what can penalization/regularization hurt?

5. Explain your answer to question 2.

6. In Principal Component Analysis (PCA),

   a. what is the goal of the first principal component?

   b. what is a key property of the th and th principal components, for ?

   b. each component is a weight linear combination of what?

   c. how many principal components will there be in general?