Exercises
=========


#. Regularization
    a. Explain why the bias parameter $\theta_0$ is not considered in the
       regularization cost.

    b. What will be the result of linear regression in case
       $\lambda\rightarrow\infty$ is chosen?

#. Regularization
    Show that

    .. math::
       \pfrac{}{\v\theta} \left( \frac{\lambda}{2m} \|D_0\v\theta\|^2 \right) = \frac{\lambda}{m}D_0 \v\theta

    You can either calculate the gradient vector elementwise or use
    results from the section :doc:`/LectureNotes/Math/vectorderivatives`.