Bayesian network structure discovery on Hailfinder
20SHDHC
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| HCVariables=562026.03 | 20 | — | |
| MMHCVariables=562026.03 | 33 | — | |
| TabuVariables=562026.03 | 36 | — | |
| FCI + LLMVariables=56, Random Seed=52026.03 | 42 | — | |
| CausalSAGEVariables=56, Random Seed=5, Prior=Random Prior2026.03 | 45 | — | |
| CausalSAGEVariables=56, Knowledge Source=Random2026.03 | 45 | — | |
| CausalSAGEVariables=56, Random Seed=5, Prior=LLM Prior2026.03 | 46 | — | |
| CausalSAGEVariables=56, Knowledge Source=LLM2026.03 | 46 | — | |
| PCVariables=562026.03 | 47 | — | |
| FCI(RFCI)Variables=56, Random Seed=52026.03 | 58 | — | |
| DAGAF2026.04 | 63 | — | |
| PromptBN+HCCategory=Hybrid, # Sample=5002025.11 | 63.8 | 0.018 | |
| PromptBN+HCCategory=Hybrid, Sample Size=1002025.11 | 63.8 | 0.018 | |
| DAG-WGAN+2026.04 | 66 | — | |
| Scalability (GPT-4)Category=LLM, # Sample=02025.11 | 68 | — | |
| Scalability (GPT-4)Category=LLM, Sample Size=02025.11 | 68 | — | |
| DAG-GNN2026.04 | 71 | — | |
| HCCategory=Data, Sample Size=1002025.11 | 72 | 0.024 | |
| DAG-WGAN2026.04 | 73 | — | |
| ReActBNCategory=Hybrid, # Sample=5002025.11 | 75 | 0.023 | |
| ReActBNCategory=Hybrid, Sample Size=1002025.11 | 75 | 0.023 | |
| PC-StableCategory=Data, Sample Size=1002025.11 | 76 | 0.024 | |
| PromptBNCategory=LLM, # Sample=02025.11 | 76.8 | 0.025 | |
| PromptBNCategory=LLM, Sample Size=02025.11 | 76.8 | 0.025 | |
| PromptBN+RandomChoiceCategory=Hybrid, # Sample=5002025.11 | 79.2 | 0.026 | |
| PromptBN+RandomChoiceCategory=Hybrid, Sample Size=1002025.11 | 79.2 | 0.026 | |
| rIeBCategory=Data, Sample Size=5002025.11 | 88 | — | |
| rBFchi2Category=Data, Sample Size=5002025.11 | 98.3 | — | |
| BFSPrompt+DataCategory=Hybrid, # Sample=5002025.11 | 140 | 0.044 | |
| BFSPrompt+DataCategory=Hybrid, Sample Size=1002025.11 | 140 | 0.441 | |
| LLM-CD(HC)Category=Hybrid, # Sample=5002025.11 | 150 | 0.045 | |
| LLM-CD(HC)Category=Hybrid, Sample Size=1002025.11 | 150 | 0.045 | |
| GESCategory=Data, Sample Size=1002025.11 | 155 | 0.05 | |
| BFSPromptCategory=LLM, # Sample=02025.11 | 243 | 0.077 | |
| BFSPromptCategory=LLM, Sample Size=02025.11 | 243 | 0.077 | |
| PairwisePrompt+DataCategory=Hybrid, # Sample=5002025.11 | 356 | 0.114 | |
| PairwisePrompt+DataCategory=Hybrid, Sample Size=1002025.11 | 356 | 0.114 | |
| PairwisePromptCategory=LLM, # Sample=02025.11 | 551 | 0.176 | |
| PairwisePromptCategory=LLM, Sample Size=02025.11 | 551 | 0.176 |