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

Invariance Learning in Deep Neural Networks with Differentiable Laplace Approximations

NeurIPS 2022 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Infinite-width networks as Gaussian processes · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
learn affine invariances with LILA instead of AugerinoResNet · CIFAR-10 fully rotatedtest accuracy: 75.40 ± 0.19 -> 79.50 ± 0.62Helped
learn affine invariances with LILA instead of AugerinoResNet · CIFAR-10 translatedtest accuracy: 73.71 ± 0.31 -> 79.21 ± 0.17Helped
learn affine invariances with LILA instead of AugerinoResNet · CIFAR-10 originaltest accuracy: 79.03 ± 1.04 -> 84.19 ± 0.76Helped
learn affine invariances with LILA instead of AugerinoMLP · FashionMNIST fully rotatedtest accuracy: 77.76 ± 0.15 -> 87.39 ± 0.06Helped
learn affine invariances with LILA instead of AugerinoMLP · MNIST partially rotatedtest accuracy: 96.35 ± 0.02 -> 97.81 ± 0.11Helped
learn invariances with LILA rather than use a non-invariant modelWide ResNet · CIFAR-10test accuracy: 85.17 ± 0.39 -> 91.98 ± 0.04Helped
replace GGN with empirical Fisher (ablation)LILA, Wide ResNet · CIFAR-10test accuracy: 91.98 ± 0.04 -> 91.64 ± 0.26Hurt
learn invariances on 1000 training examples rather than use a non-invariant modelLILA · CIFAR-10 subset of 1000 samplestest accuracy: +22 percentage pointsHelped
use LILA with 10% of the training data rather than the non-invariant model's full dataLILA · CIFAR-10 fully rotateddata efficiency: 10%Helped
use diagonal GGN or empirical Fisher instead of KFAC-GGN (ablation)LILA · image classification invariance learningtest performanceHurt

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