notesum.ai
Published at November 29Differentiable Causal Discovery For Latent Hierarchical Causal Models
cs.LG
Released Date: November 29, 2024
Authors: Parjanya Prashant, Ignavier Ng1, Kun Zhang2, Biwei Huang3
Aff.: 1Carnegie Mellon University, USA; 2Mohamed bin Zayed University of Artificial Intelligence, UAE; 3University of California San Diego, USA

| Ours | KONG | HUANG | GIN | DeCAMFounder | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Structure | SHD | F1 | SHD | F1 | SHD | F1 | SHD | F1 | SHD | F1 |
| Tree (LeakyReLU) | 0.67 | 0.96 | 5.83 | 0.63 | 6.00 | 0.65 | 7.50 | 0.00 | 11.83 | 0.00 |
| (1.49) | (0.08) | (2.04) | (0.09) | (3.00) | (0.08) | (1.50) | (0.00) | (0.37) | (0.00) | |
| V-structure (LeakyReLU) | 0.67 | 0.97 | 7.67 | 0.61 | 5.50 | 0.72 | 8.00 | 0.17 | 17.33 | 0.00 |
| (1.10) | (0.05) | (4.08) | (0.14) | (2.50) | (0.08) | (0.00) | (0.17) | (2.867) | (0.00) | |
| Tree (Tanh) | 1.00 | 0.95 | 5.50 | 0.63 | 4.50 | 0.70 | 7.50 | 0.00 | 16.50 | 0.00 |
| (1.67) | (0.09) | (1.52) | (0.06) | (1.50) | (0.03) | (1.50) | (0.00) | (4.924) | (0.00) | |
| V-structure (Tanh) | 1.17 | 0.95 | 4.33 | 0.79 | 4.50 | 0.76 | 9.50 | 0.36 | 18.50 | 0.00 |
| (1.33) | (0.06) | (2.58) | (0.08) | (1.50) | (0.03) | (1.50) | (0.064) | (3.253) | (0.00) | |