Table 2.

Comparison of average test errors (and corresponding standard errors in parentheses) for Example 2 with respect to dimension q = 1, 5, 10 and three distance measures. The results for naive method, SSANOVA, Random Forest, resolution-wise regression with fixed smoothness, and resolution-wise regression with CV are listed in the columns from left to right respectively.

Example	Measure	Naive	SSANOVA	Random Forest	Fixed smoothness	CV
q = 1	KS	0.103	0.215	0.256	0.169	0.167
		(0.006)	(0.005)	(0.008)	(0.013)	(0.014)
	KL	0.261	0.605	0.787	0.089	0.693
		(0.010)	(0.021)	(0.049)	(0.008)	(0.037)
	L 1	0.383	0.765	0.716	0.283	0.517
		(0.018)	(0.033)	(0.035)	(0.015)	(0.027)
q = 5	KS	0.345	0.219	0.222	0.180	0.179
		(0.019)	(0.016)	(0.012)	(0.015)	(0.014)
	KL	0.701	0.589	0.730	0.146	0.532
		(0.034)	(0.025)	(0.037)	(0.011)	(0.028)
	L 1	0.937	0.774	0.693	0.348	0.506
		(0.039)	(0.035)	(0.028)	(0.015)	(0.022)
q = 10	KS	0.344	0.210	0.213	0.169	0.183
		(0.006)	(0.006)	(0.015)	(0.018)	(0.018)
	KL	0.767	0.589	0.666	0.185	0.572
		(0.033)	(0.024)	(0.050)	(0.022)	(0.035)
	L 1	0.952	0.735	0.693	0.346	0.498
		(0.038)	(0.032)	(0.035)	(0.015)	(0.026)