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. Author manuscript; available in PMC: 2022 Nov 21.
Published in final edited form as: Adv Neural Inf Process Syst. 2020 Dec;33:8895–8906.

Table 2:

MNIST, Fashion MNIST, CIFAR-10, and CIFAR-100 results. The table summarizes experiments described in Section 3.2.

Experiment Baseline PEP Temp. Scaling MCD SWA Deep Ensembles
NLL

MNIST (MLP) 0.096 ± 0.01 0.079 ± 0.01 0.074 ± 0.01 0.094 ± 0.00 0.067 ± 0.00 0.044 ± 0.00
MNIST (CNN) 0.036 ± 0.00 0.034 ± 0.00 0.032 ± 0.00 0.031 ± 0.00 0.028 ± 0.00 0.021 ± 0.00
Fashion MNIST 0.360 ± 0.01 0.275 ± 0.01 0.271 ± 0.01 0.218 ± 0.01 0.277 ± 0.01 0.198 ± 0.00
CIFAR-10 1.063 ± 0.03 0.982 ± 0.02 0.956 ± 0.02 0.798 ± 0.01 0.827 ± 0.01 0.709 ± 0.00
CIFAR-100 2.685 ± 0.03 2.651 ± 0.03 2.606 ± 0.03 2.435 ± 0.03 2.314 ± 0.02 2.159 ± 0.01

Brier

MNIST (MLP) 0.037 ± 0.00 0.035 ± 0.00 0.035 ± 0.00 0.040 ± 0.00 0.032 ± 0.00 0.020 ± 0.00
MNIST (CNN) 0.016 ± 0.00 0.015 ± 0.00 0.015 ± 0.00 0.014 ± 0.00 0.013 ± 0.00 0.010 ± 0.00
Fashion MNIST 0.137 ± 0.01 0.127 ± 0.01 0.126 ± 0.00 0.111 ± 0.00 0.121 ± 0.00 0.096 ± 0.00
CIFAR-10 0.469 ± 0.01 0.450 ± 0.01 0.447 ± 0.01 0.381 ± 0.01 0.373 ± 0.00 0.335 ± 0.00
CIFAR-100 0.795 ± 0.01 0.786 ± 0.01 0.782 ± 0.01 0.768 ± 0.01 0.723 ± 0.00 0.695 ± 0.00

ECE %

MNIST (MLP) 1.324 ± 0.16 0.528 ± 0.12 0.415 ± 0.10 2.569 ± 0.17 0.536 ± 0.08 0.839 ± 0.08
MNIST (CNN) 0.517 ± 0.07 0.366 ± 0.08 0.259 ± 0.06 0.832 ± 0.06 0.282 ± 0.04 0.287 ± 0.05
Fashion MNIST 5.269 ± 0.22 1.784 ± 0.54 1.098 ± 0.18 1.466 ± 0.30 3.988 ± 0.11 0.942 ± 0.13
CIFAR-10 11.718 ± 0.72 4.599 ± 0.82 1.318 ± 0.26 7.109 ± 0.62 8.655 ± 0.29 8.867 ± 0.23
CIFAR-100 9.780 ± 0.69 5.535 ± 0.50 2.012 ± 0.31 12.608 ± 0.59 7.180 ± 0.48 11.954 ± 0.29

Classification Error %

MNIST (MLP) 2.264 ± 0.22 2.286 ± 0.24 2.264 ± 0.22 2.452 ± 0.14 2.082 ± 0.10 1.285 ± 0.05
MNIST (CNN) 0.990 ± 0.13 0.990 ± 0.12 0.990 ± 0.13 0.842 ± 0.06 0.868 ± 0.06 0.659 ± 0.03
Fashion MNIST 8.420 ± 0.32 8.522 ± 0.34 8.420 ± 0.32 7.692 ± 0.34 7.734 ± 0.11 6.508 ± 0.10
CIFAR-10 33.023 ± 0.68 32.949 ± 0.74 33.023 ± 0.68 27.207 ± 0.66 26.004 ± 0.36 22.880 ± 0.21
CIFAR-100 64.843 ± 0.69 64.789 ± 0.69 64.843 ± 0.69 60.772 ± 0.58 58.092 ± 0.42 53.917 ± 0.30