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Robust Recovery via Implicit Bias of Discrepant Learning Rates for Double Over-parameterization

NeurIPS 2020 · Optimization › Implicit bias and generalization · approach: Implicit regularization of SGD · 13 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use discrepant learning rates for the matrix and corruption parameters, with α = √nDouble over-parameterization for robust PCA · Robust PCArelative reconstruction errorHelped
Use a single α = √n across varying matrix ranks and corruption ratiosDouble over-parameterization for robust PCA · Robust PCAsuccessful recoveryHelped
Use double over-parameterization with discrepant learning rates instead of DIP or DIP-ℓ1Robust image recovery · Natural images with salt-and-pepper corruptionPSNRHelped
Continue training without case-dependent early stoppingDouble over-parameterization for robust image recovery · Natural images with varying corruption levelsPSNRHelped

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