Table 5:

Coefficients of selected BMI-related features and test mean squared prediction error for a gut microbiota metagenomic data

Taxon	BAR	Lasso	SCAD	MCP	Adaptive Lasso	Elastic Net
Acetanaerobacterium						−0.064
Acidaminococcus						−0.014
Akkermansia						0.233
Anaerotruncus						−0.105
Asteroleplasma						−0.058
Bacteroides						−0.110
Barnesiella						0.195
Butyricicoccus						−0.046
Butyrivibrio						0.205
Catenibacterium						0.198
Clostridium						−0.259
Collinsella	1.066	0.669	0.689	0.867	0.908	0.708
Coprobacillus		−0.165	−0.133	−0.064	−0.216	−0.295
Coprococcus						0.014
Desulfovibrio		−0.082	−0.049		−0.122	−0.308
Escherichia Shigella						0.081
Eubacterium						0.021
Faecalibacterium	−0.610	−0.389	−0.352	−0.352	−0.584	−0.591
Hydrogenoanaerobacterium		0.099	0.044		0.223	0.409
Lachnobacterium						0.294
Lactobacillus						0.115
Megasphaera	0.761	0.458	0.410	0.470	0.716	0.639
Odoribacter						−0.024
Parabacteroides						−0.043
Prevotella						0.335
Rikenella						−0.065
Robinsoniella		−0.113	−0.088	−0.050	−0.124	−0.344
Sporobacter						−0.102
Streptococcus						0.050
Subdoligranulum						−0.018
Succiniclasticum		0.119	0.080		0.211	0.344
Succinivibrio						0.238
Sutterella		−0.001				−0.224
Treponema					−0.115
Turicibacter	−0.996	−0.622	−0.615	−0.807	−0.846	−0.611
Xylanibacter						0.160
Tuning	ξn = 77.78	λ = 0.54	γ = 3.7	γ=3	ξ = 14.19	λ1 = 0.19
Parameters	λn = 38		λ = 0.57	λ = 0.66	λ = 3.67	λ2 = 0.26
Number of Selected Taxa	4	10	9	6	9	36
Test Error	28.630	28.189	28.311	28.230	27.926	27.062