Table 9: Classification accuracy (%) and their corresponding standard deviations on ablation study of the size of Noise on CIFAR10-C for 15 types of corruptions. Bold numbers are the highest accuracy. Averaged over three different random seeds.
Method	Noise	Blur	Weather	Digital	Avg.
Gau.	Shot	Imp.	Def.	Gla.	Mot.	Zoom	Snow	Fro.	Fog	Brit.	Cont.	Elas.	Pix.	JPEG
5000	Source	26.0±3.3	33.2±3.5	24.7±4.2	56.7±2.7	52.0±2.7	67.4±1.2	64.8±2.6	78.0±0.4	67.0±2.5	74.1±0.8	91.5±0.3	33.9±1.8	76.6±0.7	46.4±0.6	73.2±0.8	57.7±1.0
BN stats [27]	59.6±0.2	61.6±0.7	51.5±0.6	66.9±1.2	49.8±0.9	65.3±0.1	68.6±0.7	71.2±0.5	71.5±0.2	65.0±0.6	84.2±0.3	70.0±1.1	58.8±1.2	63.5±0.5	65.4±0.9	64.9±0.4
PL [17]	59.9±4.7	61.3±3.6	52.1±1.7	66.4±1.4	46.1±4.2	62.7±1.5	67.2±2.7	69.6±1.5	69.2±1.3	65.4±2.0	83.8±1.2	66.8±4.4	55.5±3.0	64.9±1.2	65.6±4.3	63.8±0.3
TENT [38]	64.3±2.0	70.0±2.4	59.3±0.1	68.8±4.2	47.7±3.1	65.8±3.0	72.4±4.9	73.6±5.0	73.4±5.3	65.4±6.0	88.2±0.8	69.0±2.6	63.7±3.8	72.2±1.2	67.8±5.6	68.1±1.3
LAME [1]	22.0±3.6	28.9±3.7	18.8±3.5	52.2±2.1	51.2±3.5	64.9±0.5	61.5±1.4	78.9±0.6	68.0±4.1	72.3±1.4	90.3±0.3	27.6±1.3	75.3±0.7	43.6±0.9	73.8±1.0	55.3±0.5
CoTTA [39]	68.6±1.5	69.7±1.6	61.8±1.8	64.9±3.8	53.1±4.0	62.1±2.7	68.8±2.0	72.6±1.2	75.9±0.4	64.5±3.8	86.1±0.3	62.1±1.5	59.7±2.8	71.0±2.3	70.2±1.7	67.4±1.6
EATA [28]	58.4±0.3	61.7±2.8	45.1±6.5	58.8±3.7	38.7±9.3	57.9±2.5	64.5±3.9	62.7±1.9	63.3±3.3	62.2±3.6	76.0±0.7	54.6±16.1	48.2±2.9	64.6±2.5	60.5±1.7	58.5±0.8
SAR [29]	60.9±1.3	63.0±1.9	53.6±2.5	67.5±0.8	50.5±0.4	65.9±0.5	69.1±0.4	71.2±0.6	71.4±0.2	65.4±0.3	84.2±0.3	70.3±0.9	59.4±0.7	63.7±0.5	65.7±0.6	65.5±0.3
RoTTA [44]	64.9±0.5	67.0±0.8	56.9±1.2	81.4±0.6	59.9±0.9	81.1±0.8	83.1±0.4	80.1±0.7	78.3±1.1	78.9±0.5	91.0±0.4	68.0±4.6	72.8±0.7	73.9±0.2	72.9±0.9	74.0±0.8
SoTTA	74.1±1.0	77.3±0.9	67.4±0.2	86.2±1.9	64.7±2.5	85.0±2.3	87.5±1.1	84.3±0.4	82.3±1.0	85.0±2.5	91.4±0.3	83.5±3.4	77.8±2.2	82.7±1.4	78.6±1.4	80.5±1.0
10000	Source	26.0±3.3	33.2±3.5	24.7±4.2	56.7±2.7	52.0±2.7	67.4±1.2	64.8±2.6	78.0±0.4	67.0±2.5	74.1±0.8	91.3±0.3	33.9±1.8	76.6±0.7	46.4±0.6	73.2±0.8	57.7±1.0
BN stats [27]	51.7±0.3	53.9±0.6	45.5±0.7	52.7±2.0	41.5±1.7	51.0±0.7	55.1±1.5	62.8±0.7	63.8±0.2	53.8±0.6	76.9±0.3	55.8±2.5	46.8±1.8	54.8±0.7	56.4±1.0	54.8±0.8
PL [17]	47.6±9.9	52.7±2.4	44.7±4.3	48.9±12.6	36.1±5.1	49.4±1.8	54.1±2.9	61.9±2.4	56.5±4.4	50.9±1.3	77.1±3.7	45.2±4.8	43.1±4.5	49.4±5.6	59.5±4.7	51.8±0.9
TENT [38]	54.0±6.7	57.1±5.6	36.7±9.1	48.9±6.8	28.3±4.5	50.5±3.1	51.0±5.0	64.0±4.1	64.7±5.2	49.5±1.9	80.5±1.4	43.7±3.0	38.4±2.2	56.7±6.4	57.0±4.5	52.1±0.4
LAME [1]	21.8±3.5	28.6±3.7	18.5±3.1	51.6±2.3	50.8±3.6	64.3±0.2	60.9±1.8	78.4±0.5	67.3±3.8	71.7±1.2	90.5±0.2	27.0±1.2	75.1±0.7	43.0±0.9	73.4±1.0	54.9±0.6
CoTTA [39]	60.4±2.1	60.3±3.5	52.4±1.6	47.3±3.0	41.6±0.4	44.1±2.7	52.0±4.7	62.7±0.6	66.6±0.8	47.7±2.4	79.0±1.7	44.7±1.1	42.8±4.3	60.2±0.5	60.2±1.0	54.8±1.3
EATA [28]	42.2±1.1	41.0±1.1	33.2±5.9	32.7±5.1	25.0±1.5	27.9±2.1	34.3±5.4	40.8±2.7	42.6±6.5	31.6±11.5	61.5±5.7	20.3±2.2	27.5±4.1	35.8±4.5	43.1±8.3	36.0±0.8
SAR [29]	57.5±1.0	59.3±0.2	49.6±1.7	57.2±1.1	43.7±1.7	54.4±1.5	59.4±1.6	64.8±1.0	65.4±0.3	57.9±0.4	77.1±1.8	60.2±1.2	50.0±1.2	58.3±0.6	59.8±0.1	58.3±0.3
RoTTA [44]	64.4±0.5	66.9±0.8	56.1±1.4	80.1±0.4	59.1±0.5	79.8±0.2	82.2±0.8	79.7±0.8	78.7±0.7	77.8±0.4	91.2±0.6	69.0±4.0	72.3±1.2	73.4±0.2	72.8±0.7	73.6±0.5
SoTTA	73.3±1.5	77.7±0.8	66.8±1.8	86.1±2.1	64.0±2.8	84.3±0.7	86.6±1.1	83.1±0.7	82.0±1.8	85.7±2.7	91.1±0.4	84.1±2.4	77.1±3.3	81.6±2.8	77.2±2.2	80.0±1.4
20000	Source	26.0±3.3	33.2±3.5	24.7±4.2	56.7±2.7	52.0±2.7	67.4±1.2	64.8±2.6	78.0±0.4	67.0±2.5	74.1±0.8	91,5±0.3	33.9±1.8	76.6±0.7	46.4±0.6	73.2±0.8	57.7±1.0
BN stats [27]	41.3±0.7	42.9±1.0	37.2±0.4	37.4±2.1	32.6±1.4	36.1±1.0	39.6±1.4	52.0±0.7	52.7±0.5	40.6±1.2	65.0±0.5	37.4±4.1	33.9±1.8	44.1±0.9	44.4±0.5	42.5±0.8
PL [17]	25.5±1.1	22.6±3.2	27.6±4.2	20.5±7.0	21.7±5.0	20.2±6.5	21.8±1.4	50.0±8.4	41.7±13.4	24.0±9.0	60.8±3.6	17.7±9.2	21.3±9.2	23.1±5.0	29.5±10.1	28.5±2.3
TENT [38]	21.5±4.5	19.7±2.3	21.4±2.2	14.2±1.4	18.5±3.4	17.8±4.4	15.3±3.5	44.2±6.7	36.6±4.8	15.2±1.3	63.8±5.2	19.9±2.7	13.3±1.8	28.1±0.7	25.0±8.3	25.0±2.9
LAME [1]	21.7±3.4	28.2±3.6	18.1±3.0	50.4±2.7	49.6±3.0	63.6±0.6	60.1±2.0	77.9±0.5	66.1±3.3	71.0±0.7	90.6±0.1	26.6±1.4	75.0±0.5	42.6±0.7	73.3±0.7	54.3±0.6
CoTTA [39]	42.7±1.5	46.7±2.6	39.0±3.0	31.0±2.7	29.8±2.2	32.0±1.4	35.3±2.4	50.9±3.9	55.3±1.2	31.9±1.2	67.6±1.2	28.9±5.6	29.5±3.2	45.9±5.2	46.8±2.9	40.9±1.7
EATA [28]	22.3±3.8	23.9±3.5	19.2±1.1	15.1±1.6	16.1±4.6	15.9±3.1	17.4±2.3	21.8±5.5	19.5±0.9	15.1±9.9	32.7±9.4	14.7±1.7	15.0±2.0	20.9±0.6	23.1±0.9	19.5±0.6
SAR [29]	41.6±1.9	43.7±0.9	39.6±2.6	33.4±8.6	29.3±5.4	34.6±3.8	38.1±3.2	55.8±3.1	56.1±3.0	38.5±4.0	68.4±3.2	33.0±9.8	28.9±7.2	46.6±2.8	45.3±0.8	42.2±1.9
RoTTA [44]	62.5±0.5	64.5±1.1	54.6±1.7	78.9±0.4	58.3±0.4	79.0±0.7	81.3±1.0	80.0±0.3	79.0±0.4	77.3±0.5	91,3±0.4	69.0±1.4	71.5±0.8	73.4±0.3	72,4±0,6	72,9±0,3
SoTTA	73,2±1,0	75,6±2,8	63,3±3,8	83,2±2,8	61,0±3,5	84,5±2,6	86,3±2,4	82,6±0,6	81,0±3,3	84,8±1,8	89,7±0,3	82,8±4,9	72,9±2,4	81,1±1,5	77,5±1,0	78,6±1,5