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Table 4 Classification error rates (ERR) on NATURAL

From: Multi-sample \(\zeta \)-mixup: richer, more realistic synthetic samples from a p-series interpolant

Method

CIFAR-10

CIFAR-100

F-MNIST

STL-10

Imagenette

Imagewoof

# images (#classes)

60,000 (10)

60,000 (10)

60,000 (10)

13,000 (10)

13,394 (10)

12,954 (10)

ERM

\(5.48 \pm 0.03\)

\(23.33 \pm 0.09\)

\(6.11 \pm 0.02\)

\(25.74 \pm 0.17\)

\(16.08 \pm 0.15\)

\(30.92 \pm 0.02\)

mixup

\(4.68 \pm 0.09\)

\(21.85 \pm 0.07\)

\(6.04 \pm 0.20\)

\(25.31 \pm 0.33\)

\(16.20 \pm 0.03\)

\(30.80 \pm 0.04\)

\(\zeta \)-mixup (\(\gamma =2.4\))

\(\mathbf{4.42 \pm 0.02}\)

+ 5.56%

\(21.50 \pm 0.04\)

+ 1.60%

\(6.04 \pm 0.04\)

+ 0.00%

\(\mathbf{24.14 \pm 0.10}\)

+ 4.62%

\(\mathbf{15.16 \pm 0.07}\)

+ 6.42%

\(30.72 \pm 0.02\)

+ 0.26%

\(\zeta \)-mixup (\(\gamma =2.8\))

\({{\underline{4.67 \pm 0.05}}}\)

+ 0.21%

\({{\underline{21.35 \pm 0.02}}}\)

+ 2.29%

\(\mathbf{5.70 \pm 0.07}\)

+ 5.63%

\({{\underline{24.82 \pm 0.03}}}\)

+ 1.94%

\({{\underline{15.62 \pm 0.07}}}\)

+ 3.58%

\(\mathbf{30.21 \pm 0.05}\)

+ 1.92%

\(\zeta \)-mixup (\(\gamma =4.0\))

\(\mathbf{4.42 \pm 0.01}\)

+ 5.56%

\(\mathbf{21.28 \pm 0.02}\)

+ 2.61%

\({{\underline{5.89 \pm 0.04}}}\)

+ 2.48%

\(24.92 \pm 0.22\)

+ 1.54%

\(15.92 \pm 0.07\)

+ 1.73%

\({{\underline{30.67 \pm 0.03}}}\)

+ 0.42%

  1. The lowest and the second lowest errors are formatted with bold and underline respectively. Percentage relative improvements over mixup  are shown in green. ERRs are reported as mean ± standard deviation over 3 runs. Lower values are better