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Exploring the Uncertainty Properties of Neural Networks’ Implicit Priors in the Infinite-Width Limit

ICLR 2021 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Single-model predictive uncertainty · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace finite-width CNN classification with softmax NNGP classificationCNN · CIFAR10ECE: 0.283 -> 0.031Helped
Replace finite-width CNN classification with softmax NNGP classificationCNN · CIFAR10Accuracy: 0.576 -> 0.609Helped
Replace finite-width CNN classification with softmax NNGP classificationCNN · Fog 5ECE: 0.420 -> 0.134Helped
Replace finite-width CNN classification with softmax NNGP classificationCNN · Fog 5Accuracy: 0.287 -> 0.289No clear effect
Use a convolutional rather than fully connected NNGP kernel for classificationNNGP-C · CIFAR10ECE: 0.072 -> 0.031Helped
Replace an EfficientNet-B3 last-layer baseline with an NNGP headEfficientNet-B3 last-layer methods · CIFAR10-CECE (50th): 0.028 -> 0.025Helped
Replace an EfficientNet-B3 last-layer baseline with an NNGP headEfficientNet-B3 last-layer methods · CIFAR10-CAccuracy (50th): 0.813 -> 0.813No clear effect
Use NNGP regression instead of an RBF GPUCI regression · Power PlantRMSE: 3.82 ± 0.04 -> 3.61 ± 0.04Helped
Use NNGP regression instead of an RBF GPUCI regression · Yacht HydrodynamicsRMSE: 0.60 ± 0.07 -> 0.41 ± 0.04Helped
Fine-tune the embedding while retaining an NNGP final layer (ablation)NNGP-LL · CIFAR10-CAccuracy (50th): 0.894 -> 0.896Helped
Fine-tune the embedding while retaining an NNGP final layer (ablation)NNGP-LL · CIFAR10-CNLL (50th): 0.320 -> 0.374Hurt
Use the exact or pairwise posterior-variance confidence heuristic instead of softmax of the posterior mean (ablation)C-NNGP-R · CIFAR10-CCalibrationHelped

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