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

Learning Expressive Priors for Generalization and Uncertainty Estimation in Neural Networks

ICML 2023 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Priors and functional variational uncertainty · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Learned prior (from MNIST) instead of isotropic prior, without PAC-Bayes objectives (ablation)LA posterior on NotMNIST with LeNet-5 · NotMNIST PAC-Bayes boundsCatoni bound: 0.990 to 0.978Helped
Per-layer curvature scaling optimized via PAC-Bayes bound (ablation)LA posterior with learned prior · NotMNIST PAC-Bayes boundsMcAllester bound: 1.347 to 1.098Helped
Frequentist projection added on top of curvature scaling (ablation)LA posterior with learned prior · NotMNIST PAC-Bayes boundsCatoni bound: 0.925 to 0.885Helped
Learned ImageNet prior with BPNN lateral connections instead of PNNContinual learning on WRGBD with ResNet-50 · WRGBD continual learningaverage accuracy: +0.6 over PNN wd 1e-5Helped
Learned prior vs isotropic prior around pre-trained mean in few-shot learningResNet-50 few-shot on eight datasets · Few-shot (up to 25 shots)precision, ECE, calibration AUC, OOD AUCHelped
Learned prior with lower temperature scaling needs (ablation)LA on NotMNIST with LeNet-5 · Cold posterior studyaccuracy vs temperatureHelped
Learned prior with ResNet-50 on ImageNet-1K cold posterior experiment (larger scale) (ablation)ResNet-50 cold posterior · ImageNet-1K / CIFAR-10accuracyMixed
Sums-of-Kronecker-product power method vs naive sum approximation (ablation)Approximation of sum of Kronecker products · Synthetic sums-of-Kronecker productsrelative Frobenius errorHelped

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