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An Unconstrained Layer-Peeled Perspective on Neural Collapse

ICLR 2022 · Optimization › Implicit bias and generalization · approach: Explicit and implicit regularization interplay · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Train without explicit feature constraints or regularization using cross-entropy gradient flowULPM · ULPMneural-collapse conditions at global minimizersHelped
Use unconstrained training without weight decayResNet18 · MNIST and CIFAR-10neural-collapse metricsHelped
Use cross-entropy gradient flow after the loss falls below log2ULPM · ULPMlossHelped
Use second-order tangent-space landscape analysis to exclude non-optimal directionsULPM · ULPMloss along fixed-norm directionsHelped
Rely on first-order KKT characterization aloneULPM · ULPMidentification of neural-collapse solutionsHurt

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