Research map / Probabilistic and scientific modeling / Causal discovery
Gradient-Based Neural DAG Learning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use nonlinear neural conditionals with a continuous acyclicity constraint | GraN-DAG versus DAG-GNN · Gauss-ANM, ER1, 10 nodes | SHD: 11.4$\pm$3.1 -> 1.7$\pm$2.5 | Helped |
| Use nonlinear neural conditionals with a continuous acyclicity constraint | GraN-DAG versus DAG-GNN · Gauss-ANM, ER1, 10 nodes | SID: 37.6$\pm$14.4 -> 1.7$\pm$3.1 | Helped |
| Add PNS and pruning (ablation) | GraN-DAG · Gauss-ANM, ER1, 50 nodes | SHD: 1086.8$\pm$48.8 -> 6.1$\pm$3.3 | Helped |
| Add PNS and pruning (ablation) | GraN-DAG · Gauss-ANM, ER1, 50 nodes | SID: 31.6$\pm$23.6 -> 29.3$\pm$19.5 | Mixed |
| Add PNS without pruning (ablation) | GraN-DAG · Gauss-ANM, ER1, 50 nodes | SHD: 1086.8$\pm$48.8 -> 540.4$\pm$70.3 | Helped |
| Add pruning without PNS (ablation) | GraN-DAG · Gauss-ANM, ER1, 50 nodes | SHD: 1086.8$\pm$48.8 -> 11.8$\pm$5.0 | Helped |
| Allow conditional variance to depend on parent variables (ablation) | GraN-DAG (GraN-DAG++) · Protein signaling data set | SHD: 13 -> 13 | No clear effect |
| Allow conditional variance to depend on parent variables (ablation) | GraN-DAG (GraN-DAG++) · SynTReN, 20 nodes | SID: 161.7$\pm$53.4 -> 127.5$\pm$52.8 | Mixed |
| Use the expected Jacobian rather than weighted adjacency strengths for final edge removal (ablation) | GraN-DAG · Structure learning experiments | graph recovery | Helped |
| Increase sample size from 500 to 5000 (ablation) | GraN-DAG versus CAM · Gauss-ANM, ER4, 50 nodes | SID: CAM 845.0 $\pm$ 159.8; GraN-DAG 554.1 $\pm$ 117.9 | Helped |
| Apply PNS and pruning to NOTEARS and DAG-GNN (ablation) | NOTEARS and DAG-GNN · Gauss-ANM, ER1, 50 nodes | SID: DAG-GNN 322.9$\pm$103.8 -> 316.5$\pm$106.9; NOTEARS 327.1$\pm$110.9 -> 326.4$\pm$106.9 | No clear effect |
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