Research Article

Kernel Sliced Inverse Regression: Regularization and Consistency

Table 1

Mean and standard deviations for error rates in classification of digits.

Digit RKSIR KSIR RSIR kNN

0 0.0273 (0.0089) 0.0472 (0.0191) 0.0487 (0.0128) 0.0291 (0.0071)
1 0.0150 (0.0049) 0.0177 (0.0051) 0.0292 (0.0113) 0.0052 (0.0012)
2 0.1039 (0.0207) 0.1475 (0.0497) 0.1921 (0.0238) 0.2008 (0.0186)
3 0.0845 (0.0208) 0.1279 (0.0494) 0.1723 (0.0283) 0.1092 (0.0130)
4 0.0784 (0.0240) 0.1044 (0.0461) 0.1327 (0.0327) 0.1617 (0.0213)
5 0.0877 (0.0209) 0.1327 (0.0540) 0.2146 (0.0294) 0.1419 (0.0193)
6 0.0472 (0.0108) 0.0804 (0.0383) 0.0816 (0.0172) 0.0446 (0.0081)
7 0.0887 (0.0169) 0.1119 (0.0357) 0.1354 (0.0172) 0.1140 (0.0125)
8 0.0981 (0.0259) 0.1490 (0.0699) 0.1981 (0.0286) 0.1140 (0.0156)
9 0.0774 (0.0251) 0.1095 (0.0398) 0.1533 (0.0212) 0.2006 (0.0153)

Average 0.0708 (0.0105) 0.1016 (0.0190) 0.1358 (0.0093) 0.1177 (0.0039)