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Perturbation Theory for the Information Bottleneck

NeurIPS 2021 · Learning theory and algorithms › Kernels and regression theory · approach: Statistical perspectives on generalization · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
allow the perturbed encoder to use representation values outside the uninformative encoder's supportInformation Bottleneck learning-onset perturbation theory · Synthetic joint distributionscritical trade-off parameterHelped
restrict the perturbed encoder to the uninformative encoder's support (ablation)Information Bottleneck learning-onset perturbation theory · Binary classificationcritical trade-off parameterHurt
use the full perturbation theory, including representation values outside the uninformative encoder's supportInformation Bottleneck learning-onset perturbation theory · Synthetic joint distributionmutual information near learning onsetHelped
use a discrete representation rather than a continuous oneInformation Bottleneck for joint Gaussian variables · Joint Gaussian variablescritical trade-off parameterNo clear effect
increase the noise levelInformation Bottleneck learning onset for noisy functional relationships · Noisy functional relationshipsfirst-order relevant informationHurt
increase the noise levelInformation Bottleneck learning onset for noisy functional relationships · Noisy functional relationshipscritical trade-off parameterHurt

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