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Toward Better Generalization Bounds with Locally Elastic Stability

ICML 2021 · Optimization › Implicit bias and generalization · approach: Edge-of-stability dynamics · 12 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use expected data-dependent sensitivity instead of worst-case sensitivityNeural networks · CIFAR-10sensitivity: 3.05 -> 0.02Helped
Use expected data-dependent sensitivity instead of worst-case sensitivityRandom feature model · CIFAR-10sensitivity: 1.73 -> 0.04Helped
Use locally elastic stability bounds instead of uniform stability boundsBounded SVM regression · Bounded SVM regression under the stated input-distribution conditionsgeneralization boundHelped
Use locally elastic stability bounds instead of uniform stability boundsRegularized least square regression · Regularized least square regression under the stated input-distribution conditionsgeneralization boundHelped
Use locally elastic stability instead of uniform stabilitySGD · Non-convex optimization under the stated conditionsgeneralization boundHelped

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