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How Does Information Bottleneck Help Deep Learning?

ICML 2023 · Learning theory and algorithms › Kernels and regression theory · approach: Generalization theory of deep networks · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
combine model compression with conditional representation compression2D clustered classification models · 2D clustered classificationPearson correlation with loss generalization gap: 0.3842 -> 0.4130Helped
combine model compression with representation compressionMNIST models · MNISTPearson correlation with loss generalization gap: 0.5467 -> 0.7626Helped
combine model compression with representation compressionFashion MNIST models · Fashion MNISTPearson correlation with loss generalization gap: 0.5146 -> 0.6488Helped
take the minimum across layers rather than the mean (ablation)CIFAR10 model + conditional representation compression metric · CIFAR10Spearman correlation with loss generalization gap: 0.4429 -> 0.8632Helped
take the minimum across layers rather than the maximum (ablation)CIFAR10 model + conditional representation compression metric · CIFAR10Spearman correlation with loss generalization gap: 0.5711 -> 0.8632Helped
add information bottleneck feature regularization (ablation)feature-compression metrics in binned 2D clustering models · 2D clustered classification with feature binningPearson correlation with loss generalization gap: 0.3032 -> -0.0440Hurt
estimate mutual information using a sample 10 times larger than the training set (ablation)representation-compression metrics · 2D clustered classificationpredictive ability for generalization gapHelped
use MLE rather than adaptive KDE to select noise variance (ablation)CIFAR10 mutual-information estimates · CIFAR10predictive ability for generalization gapHelped
combine model compression with representation compression rather than using either individuallyCIFAR10 generalization-prediction metrics · CIFAR10correlation with generalization gapHelped
use representation compression alone without model-compression information (ablation)feature-compression metrics in binned models · 2D clustered classification with feature binning and IB regularizationPearson correlation with loss generalization gap: 0.0057No clear effect

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