Table 3.

Enrichment analysis results for BRCA subtyping.a

SubtypeNLASSONwGISNsharedGOLASSOGOwGISReactomeLASSOReactomewGISHPOLASSOHPOwGIS
Basal3030251564 (8.0%) 1871 [1.20] (16.0%b)104 (0%)105 [1.01] (0%)967 (0%)1182 [1.22] (0%)
Her25156462376 (0%)2685 [1.13] (1.4%b)361 (0.8%)381 [1.06] (0.8%)921 (0%)1346 [1.46] (0.2%b)
LumA7686712747 (6.2%)3159 [1.15] (7.7%b)346 (12.7%)495 [1.43] (12.5%) 1519 (1.1%) 1980 [1.30] (3.7%)
LumB5763532267 (1.3%)2518 [1.11] (1.2%)164 (5.5%)245 [1.49] (3.7%)1165 (7.9%)1602 [1.38] (9.2%)
SubtypeNLASSONwGISNsharedGOLASSOGOwGISReactomeLASSOReactomewGISHPOLASSOHPOwGIS
Basal3030251564 (8.0%) 1871 [1.20] (16.0%b)104 (0%)105 [1.01] (0%)967 (0%)1182 [1.22] (0%)
Her25156462376 (0%)2685 [1.13] (1.4%b)361 (0.8%)381 [1.06] (0.8%)921 (0%)1346 [1.46] (0.2%b)
LumA7686712747 (6.2%)3159 [1.15] (7.7%b)346 (12.7%)495 [1.43] (12.5%) 1519 (1.1%) 1980 [1.30] (3.7%)
LumB5763532267 (1.3%)2518 [1.11] (1.2%)164 (5.5%)245 [1.49] (3.7%)1165 (7.9%)1602 [1.38] (9.2%)
a

Number of GO, reactome biological pathway, or HPO annotation terms retrieved for each selected feature subset of size N (and percentage of significantly enriched terms, with FDR P-value < 0.05). wGIS refers to GIS-weighted LASSO, with penalty as in Equation (8). [·]: ratio between the number of retrieved terms annotated to the gene subsets selected by the GIS-weighted and standard LASSO regularization.

b

Statistically significant percentage of enriched terms with respect to the standard LASSO-related ones (Z-test for proportions, P-value < 0.05).

Table 3.

Enrichment analysis results for BRCA subtyping.a

SubtypeNLASSONwGISNsharedGOLASSOGOwGISReactomeLASSOReactomewGISHPOLASSOHPOwGIS
Basal3030251564 (8.0%) 1871 [1.20] (16.0%b)104 (0%)105 [1.01] (0%)967 (0%)1182 [1.22] (0%)
Her25156462376 (0%)2685 [1.13] (1.4%b)361 (0.8%)381 [1.06] (0.8%)921 (0%)1346 [1.46] (0.2%b)
LumA7686712747 (6.2%)3159 [1.15] (7.7%b)346 (12.7%)495 [1.43] (12.5%) 1519 (1.1%) 1980 [1.30] (3.7%)
LumB5763532267 (1.3%)2518 [1.11] (1.2%)164 (5.5%)245 [1.49] (3.7%)1165 (7.9%)1602 [1.38] (9.2%)
SubtypeNLASSONwGISNsharedGOLASSOGOwGISReactomeLASSOReactomewGISHPOLASSOHPOwGIS
Basal3030251564 (8.0%) 1871 [1.20] (16.0%b)104 (0%)105 [1.01] (0%)967 (0%)1182 [1.22] (0%)
Her25156462376 (0%)2685 [1.13] (1.4%b)361 (0.8%)381 [1.06] (0.8%)921 (0%)1346 [1.46] (0.2%b)
LumA7686712747 (6.2%)3159 [1.15] (7.7%b)346 (12.7%)495 [1.43] (12.5%) 1519 (1.1%) 1980 [1.30] (3.7%)
LumB5763532267 (1.3%)2518 [1.11] (1.2%)164 (5.5%)245 [1.49] (3.7%)1165 (7.9%)1602 [1.38] (9.2%)
a

Number of GO, reactome biological pathway, or HPO annotation terms retrieved for each selected feature subset of size N (and percentage of significantly enriched terms, with FDR P-value < 0.05). wGIS refers to GIS-weighted LASSO, with penalty as in Equation (8). [·]: ratio between the number of retrieved terms annotated to the gene subsets selected by the GIS-weighted and standard LASSO regularization.

b

Statistically significant percentage of enriched terms with respect to the standard LASSO-related ones (Z-test for proportions, P-value < 0.05).

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