Bayesian probabilistic network modeling from multiple independent replicates

BMC Bioinformatics

Table 2 Lasso and adaptive Lasso partial correlation estimates for $R_{1}^{(1)}$

	$p_{1}^{(1)}$	$p_{2}^{(1)}$	$p_{3}^{(1)}$	$p_{4}^{(1)}$	$p_{5}^{(1)}$	$p_{6}^{(1)}$	$p_{7}^{(1)}$	$p_{8}^{(1)}$	$p_{9}^{(1)}$	$p_{10}^{(1)}$	$p_{11}^{(1)}$	$p_{12}^{(1)}$
$p_{1}^{(1)}$	1.00	0.77	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
$p_{2}^{(1)}$	0.84	1.00	0.56	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
$p_{3}^{(1)}$	0.00	0.48	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
$p_{4}^{(1)}$	0.00	0.00	0.00	1.00	0.76	0.00	0.00	0.00	0.00	0.00	0.00	0.00
$p_{5}^{(1)}$	0.00	0.00	0.00	0.58	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
$p_{6}^{(1)}$	0.00	0.00	0.00	0.00	0.42	1.00	0.00	0.00	0.00	0.00	0.00	0.00
$p_{7}^{(1)}$	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.96	0.00	0.00	0.00	0.00
$p_{8}^{(1)}$	0.00	0.00	0.00	0.00	0.00	0.00	0.70	1.00	0.00	0.00	0.00	0.00
$p_{9}^{(1)}$	0.00	0.00	0.15	0.00	0.00	0.00	0.32	0.28	1.00	0.00	0.00	0.00
$p_{10}^{(1)}$	0.00	-0.03	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.89	0.27
$p_{11}^{(1)}$	0.00	0.00	0.00	0.00	0.00	0.00	0.01	0.00	0.00	0.63	1.00	0.00
$p_{12}^{(1)}$	0.00	0.00	0.06	0.00	0.00	0.00	0.01	0.00	0.00	0.50	0.28	1.00

Sample partial correlation estimates for replicate $R_{1}^{(1)}$ are computed using both the Lasso and adaptive Lasso methods. These estimates are shown below and above the main diagonal, respectively. These replicate partial correlation estimates reflect the generating partial correlations, though not exactly.

ISSN: 1471-2105