Table 3.

OOD detection results of the BBP, MC-dropout, ConvCNPs–SDE, and SDE-Net models on ID dataset MNIST with MR = [0.1, 0.3, 0.5, 0.7, 0.9, RMR] and OOD dataset SVHN.

MNIST with MR	Model	Classification Accuracy	TNR at TPR 95%	AUROC	Detection Accuracy	AUPR In	AUPR Out
MR = 0.1	BBP	88.76 ± 1.73	33.17 ± 5.09	87.77 ± 2.03	83.75 ± 2.32	85.85 ± 3.21	94.02 ± 3.42
	MC-dropout	98.90 ± 0.06	88.66 ± 0.04	96.22 ± 0.04	92.18 ± 0.02	89.23 ± 0.05	98.44 ± 0.03
	ConvCNPs–SDE-Net	99.32 ± 0.06	98.69 ± 0.04	99.68 ± 0.00	97.99 ± 0.02	99.01 ± 0.01	99.89 ± 0.00
	SDE-Net	98.87 ± 0.06	99.40 ± 0.03	99.86 ± 0.01	98.82 ± 0.04	99.61 ± 0.02	99.94 ± 0.01
MR = 0.3	BBP	78.37 ± 3.10	24.90 ± 3.12	82.06 ± 4.12	74.46 ± 2.27	73.86 ± 2.15	90.22 ± 2.30
	MC-dropout	93.47 ± 0.06	50.10 ± 0.06	92.01 ± 0.03	86.84 ± 0.06	84.68 ± 0.03	95.75 ± 0.05
	ConvCNPs–SDE-Net	98.94 ± 0.07	99.04 ± 0.04	99.78 ± 0.01	98.27 ± 0.06	99.34 ± 0.03	99.92 ± 0.01
	SDE-Net	94.98 ± 0.19	99.47 ± 0.02	99.70 ± 0.03	98.96 ± 0.03	99.51 ± 0.06	99.82 ± 0.04
MR = 0.5	BBP	52.50 ± 4.15	16.70 ± 2.10	70.47 ± 3.12	78.37 ± 3.10	54.43 ± 3.34	84.60 ± 2.12
	MC-dropout	75.88 ± 0.10	21.72 ± 0.09	81.64 ± 0.09	75.87 ± 0.06	70.73 ± 0.04	89.60 ± 0.05
	ConvCNPs–SDE-Net	97.45 ± 0.17	98.58 ± 0.03	99.70 ± 0.01	98.15 ± 0.05	99.17 ± 0.02	99.87 ± 0.01
	SDE-Net	80.54 ± 0.36	99.17 ± 0.05	98.45 ± 0.08	97.26 ± 0.04	98.06 ± 0.05	98.96 ± 0.07
MR = 0.7	BBP	23.71 ± 4.11	17.40 ± 2.23	66.36 ± 3.12	61.91 ± 3.23	43.01 ± 2.44	83.18 ± 2.23
	MC-dropout	46.48 ± 0.10	12.16 ± 0.16	70.32 ± 0.11	65.67 ± 0.16	53.76 ± 0.21	83.06 ± 0.15
	ConvCNPs–SDE-Net	88.96 ± 0.33	97.45 ± 0.06	99.20 ± 0.03	97.47 ± 0.07	98.03 ± 0.04	99.62 ± 0.03
	SDE-Net	49.25 ± 0.11	45.25 ± 1.36	93.53 ± 0.13	90.68 ± 0.15	92.36 ± 0.16	95.68 ± 0.12
MR = 0.9	BBP	10.08 ± 1.14	54.34 ± 2.34	84.13 ± 4.34	77.78 ± 1.44	59.63 ± 2.33	93.72 ± 1.34
	MC-dropout	17.15 ± 0.54	8.41 ± 0.44	60.38 ± 0.35	57.66 ± 0.34	38.11 ± 0.24	77.82 ± 0.36
	ConvCNPs–SDE-Net	36.54 ± 0.58	79.72 ± 0.65	96.20 ± 0.06	93.82 ± 0.14	92.86 ± 0.16	97.81 ± 0.08
	SDE-Net	14.56 ± 0.34	10.30 ± 0.49	71.82 ± 0.25	67.83 ± 0.18	64.34 ± 0.30	82.80 ± 0.23
MR = RMR	BBP	36.90 ± 10.56	26.37 ± 3.63	73.05 ± 2.26	67.85 ± 1.62	51.52 ± 2.56	87.43 ± 1.22
	MC-dropout	42.97 ± 1.60	11.26 ± 2.41	69.34 ± 1.43	64.95 ± 1.20	53.56 ± 2.62	82.43 ± 1.12
	ConvCNPs–SDE-Net	68.90 ± 11.66	95.72 ± 1.60	97.89 ± 0.85	95.91 ± 0.96	95.70 ± 1.67	98.89 ± 0.45
	SDE-Net	45.34 ± 13.66	22.73 ± 7.30	86.24 ± 5.13	83.25 ± 5.82	83.74 ± 6.71	91.00 ± 3.11