Proximal gradient methods for learning: Difference between revisions

Revision as of 17:13, 10 December 2013

Revision as of 17:15, 10 December 2013

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where <math>w_g</math> is the <math>g</math>th group.

In contrast to lasso, the derivation of the proximity operator for group lasso relies on the [[#Relevant_backround##Moreau_decomposition|Moreau decomposition]]. Here the proximity operator of the conjugate of the group lasso penalty becomes a projection onto the ball of a dual norm.<ref name=structSparse />

FIX

FIX

FXI

In the case of group lasso this is precisely the case, as the proximity operator of the conjugate becomes a projection onto the ball of a dual norm.<ref name=structSparse />

===Other group structures===