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Uncertainty Estimation Using a Single Deep Deterministic Neural Network

About

We propose a method for training a deterministic deep model that can find and reject out of distribution data points at test time with a single forward pass. Our approach, deterministic uncertainty quantification (DUQ), builds upon ideas of RBF networks. We scale training in these with a novel loss function and centroid updating scheme and match the accuracy of softmax models. By enforcing detectability of changes in the input using a gradient penalty, we are able to reliably detect out of distribution data. Our uncertainty quantification scales well to large datasets, and using a single model, we improve upon or match Deep Ensembles in out of distribution detection on notable difficult dataset pairs such as FashionMNIST vs. MNIST, and CIFAR-10 vs. SVHN.

Joost van Amersfoort, Lewis Smith, Yee Whye Teh, Yarin Gal• 2020

Related benchmarks

TaskDatasetResultRank
Image ClassificationCIFAR-10 (test)--
3381
Image ClassificationCIFAR-10
Accuracy94.1
507
Image ClassificationFashionMNIST (test)
Accuracy92.4
218
Image ClassificationCIFAR-10-C
Accuracy69.01
127
Out-of-Distribution DetectionCIFAR-10 vs SVHN (test)
AUROC0.927
101
Out-of-Distribution DetectionCIFAR-100 SVHN in-distribution out-of-distribution (test)
AUROC88.7
90
Out-of-Distribution DetectionImageNet-O
AUROC0.714
74
Out-of-Distribution DetectionCIFAR-100 (in-distribution) / LSUN (out-of-distribution) (test)
AUROC90.8
67
Out-of-Distribution DetectionSVHN
AUROC92.7
62
Out-of-Distribution DetectionFashionMNIST (ID) vs MNIST (OoD)
AUROC0.955
61
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