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Regularization in Practice
Regularization in Practice
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What is the key geometric difference between L1 (Lasso) and L2 (Ridge) regularization?
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A.
L2 produces sparser solutions than L1 because the circular constraint region has a smaller volume in high dimensions than the L1 diamond
B.
Both L1 and L2 constrain weights to a spherical region, but L1 uses a smaller radius, causing more aggressive shrinkage of all parameters equally
C.
L1 constrains to a diamond with corners on axes, so solutions tend to hit corners (sparsity). L2 constrains to a circle with no corners, so weights shrink but rarely reach zero
D.
The difference is purely computational: L1 requires solving a linear program while L2 has a closed-form solution, but the final models are statistically equivalent
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