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Research map / Optimization / Implicit bias and generalization

Learning Compact Neural Networks with Regularization

ICML 2018 · Optimization › Implicit bias and generalization · approach: Explicit and implicit regularization interplay · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add sparsity regularization with ℓ1 or ℓ0 projectionShallow network trained with good initialization · Synthetic sparse-network experimentnormalized test loss: ≈0 test loss when n≥600Helped
Add ℓ1 projection instead of ℓ0 projectionShallow network trained with good initialization · Synthetic sparse-network experimentnormalized test lossHelped
Add sparsity regularizationShallow network trained with random initialization · Synthetic sparse-network experimentnormalized test lossHelped
Use ℓ1 projection instead of ℓ0 projectionShallow network trained with random initialization · Synthetic sparse-network experimentnormalized test loss: approaches 0 only at n=2000Helped
Use random initialization instead of initialization near the ground truthSparsity-regularized shallow network · Synthetic sparse-network experimentnormalized test loss: n≥600; n=2000Hurt
Add convolutional weight sharingShallow network trained with random initialization · Synthetic CNN experimenttest lossHelped
Initialize near the ground truth instead of randomlyCNN subspace-constrained model · Synthetic CNN experimenttest loss: ≈ 0Helped

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