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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 (test)
Accuracy89.33
882
Image ClassificationCIFAR-10
Accuracy94.1
507
Image ClassificationFashionMNIST (test)
Accuracy92.4
363
Image ClassificationCIFAR-10-C
Accuracy69.01
179
Out-of-Distribution DetectionCIFAR-10 vs SVHN (test)
AUROC0.927
137
Out-of-Distribution DetectionCIFAR-10--
121
Out-of-Distribution DetectionCIFAR-100 SVHN in-distribution out-of-distribution (test)
AUROC88.7
107
Out-of-Distribution DetectionImageNet-O
AUROC0.714
74
Out-of-Distribution DetectionCIFAR-100 (in-distribution) / LSUN (out-of-distribution) (test)
AUROC90.8
67
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