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Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes

A statistical theory of cold posteriors in deep neural networks

ICLR 2021 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Approximate inference in Bayesian neural networks · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Model dataset curation as unanimous agreement among multiple labellersBayesian neural networks on curated image datasets · Toy GP classificationoptimal temperature: S ≈ 1/λ*Helped
Use the correct curation likelihood, including known no-consensus inputsTempered GP classification · Toy GP classification with curationoptimal temperatureNo clear effect
Train and test using the single-labeller likelihood while excluding no-consensus pointsTempered GP classification · Toy GP classification with curated dataoptimal temperature: S ≈ 1/λ*Helped
Select high-agreement curated examples rather than random uncurated examplesResNet18 with SGLD · Galaxy Zoo 2test log-likelihoodHelped
Select high-agreement curated examples rather than random uncurated examplesResNet18 with SGLD · Galaxy Zoo 2test accuracyHelped
Apply stronger tempering to curated rather than uncurated dataResNet18 with SGLD · Galaxy Zoo 2test log-likelihood: factor of ∼ 3; ∼ 20%Helped
Train on approximately 50 human labels per image instead of one labelResNet18 with SGLD · CIFAR-10H training / CIFAR-10 testcold-posterior effect: ∼ 50Helped
Add noise to labelsResNet18 with SGLD · CIFAR-10 noisy labelscold-posterior effectMixed
Use a temperature close to 1 as label noise increasesResNet18 with SGLD · CIFAR-10 noisy labelstest performanceHelped
Use a tempered MAP objectiveResNet18 without batch normalization · CIFAR-10test accuracyHelped

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