[parrt]

The world certainly doesn't need yet another article on the mechanics of regularized linear models. What's lacking is a simple and intuitive explanation for what exactly is going on during regularization. The goal of this article is to explain how regularization behaves visually, dispelling some myths and answering important questions along the way.

[antipaul]

Totally. Often, I see a copy paste of that canonical regularization figure in TL,DR 1. which I’ve never seen adequately explained.

Until this post.

Edit: Ok and now I see what you did there ;)

[parrt]

haha. :) Yeah, I got stuck for SOOooo long trying to reconcile the standard picture from ESL book with the math. Turns out they don't match! The picture is for a hard constraint whereas the math penalty term just makes bigger coefficients more expensive. Man, that really threw me.