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Research map / Learning theory and algorithms / Kernels and regression theory

Exploring Generalization in Deep Learning

NeurIPS 2017 · Learning theory and algorithms › Kernels and regression theory · approach: Empirical generalization measures · 450 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase hidden-unit count beyond 32Two-layer ReLU perceptron · MNISTtest errorHelped
Use sharpness alone as a generalization measureVGG network · CIFAR10, true versus random labelsgeneralization behavior predictionMixed
Combine expected sharpness with KL divergence or normPAC-Bayes measure · CIFAR10, true versus random labelsgeneralization behavior predictionHelped
Use norm divided by margin instead of raw normNorm-based complexity measures · Deep networks trained to zero training errorscale-invariant complexity assessmentHelped
Use Lipschitz continuity alone for capacity controlFeedforward neural networks · Generalization boundscapacity controlHurt
Increase the size of the random-label confusion setVGG network · CIFAR10test errorHurt
Increase hidden-unit count beyond 128Two-layer ReLU perceptron · MNISTability of joint PAC-Bayes measure to explain generalizationHurt
Compare raw parameter norms without accounting for output scaleNetworks trained with cross-entropy to zero training error · Generalization assessmentmeaningfulness of norm comparisonHurt
Use norm-based measures on true labels rather than random labelsFeedforward networks · True versus random labelsmeasured complexityHelped

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