Table 1.

Comparison of EMVS’s and LASSO’s selection performance in simulated application settings: FPR, average false positive rate; FNR, average false negative rate; WACAP, weighted average correct association percentage.

Heredity Constraint	Correlation	Model 3.3.1: True Model Follows Strong Heredity			Model 3.3.2: True Model Follows Weak Heredity			Model 3.3.3: True Model Not Well Formulated
		FPR	FNR	WACAP	FPR	FNR	WACAP	FPR	FNR	WACAP
	0	0.025 (−0.065)	0.164   (0.024)	0.876   (0.008)	0.026 (−0.077)	0.210   (0.111)	0.833 (−0.050)	0.017 (−0.163)	0.263   (0.155)	0.774 (−0.037)
Stronga	0.4	0.028 (−0.074)	0.193   (0.043)	0.846 (−0.004)	0.024 (−0.087)	0.245   (0.123)	0.800 (−0.060)	0.015 (−0.133)	0.264   (0.088)	0.773 (−0.009)
	0.8	0.035 (−0.059)	0.267   (0.012)	0.778   (0.012)	0.029 (−0.085)	0.319   (0.080)	0.728 (−0.037)	0.024 (−0.125)	0.279   (0.095)	0.756 (−0.019)
	0	0.079 (−0.040)	0.094 (−0.007)	0.908   (0.029)	0.082 (−0.027)	0.129 (−0.029)	0.878   (0.036)	0.063 (−0.091)	0.169 (−0.081)	0.836   (0.127)
Weakb	0.4	0.092 (−0.041)	0.115   (0.007)	0.885   (0.020)	0.090 (−0.007)	0.138 (−0.086)	0.866   (0.088)	0.068 (−0.030)	0.180 (−0.180)	0.821   (0.196)
	0.8	0.127   (0.005)	0.177 (−0.031)	0.813   (0.026)	0.126   (0.090)	0.213 (−0.182)	0.779   (0.137)	0.101   (0.047)	0.191 (−0.260)	0.794   (0.244)
	0	0.101 (−0.038)	0.082 (−0.137)	0.903   (0.129)	0.112   (0.015)	0.085 (−0.154)	0.894   (0.108)	0.099   (0.029)	0.082 (−0.208)	0.903   (0.149)
Nonec	0.4	0.119 (−0.020)	0.097 (−0.130)	0.882   (0.115)	0.125   (0.043)	0.097 (−0.183)	0.877   (0.131)	0.113   (0.065)	0.088 (−0.259)	0.889   (0.199)
	0.8	0.176   (0.054)	0.148 (−0.125)	0.806   (0.078)	0.186   (0.148)	0.158 (−0.265)	0.791   (0.210)	0.178   (0.157)	0.135 (−0.306)	0.812   (0.239)

^aDeterministic annealing EMVS (Deterministic annealing EMVS-LASSO with strong heredity constraint).

^bDeterministic annealing EMVS (Deterministic annealing EMVS-LASSO with weak heredity constraint).

^cDeterministic annealing EMVS (Deterministic annealing EMVS-grouped LASSO).