.. _book_fig_chapter8_fig_lasso_ridge:


Ridge and Lasso: Geometric Interpretation
-----------------------------------------
Figure 8.3

A geometric interpretation of regularization. The right panel shows L1
regularization (LASSO regression) and the left panel L2 regularization
(ridge regularization). The ellipses indicate the posterior distribution for
no prior or regularization. The solid lines show the constraints due to
regularization (limiting theta^2 for ridge regression and abs(theta) for LASSO
regression). The corners of the L1 regularization create more opportunities
for the solution to have zeros for some of the weights.



.. image:: ../images/chapter8/fig_lasso_ridge_1.png
    :scale: 100
    :align: center


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