Conformal Factuality Control for Multi-Hop Retrieval-Augmented Generation
Organizations: Department of Mathematics & Statistics Georgia State University Atlanta, GA, USA
Abstract
Retrieval-augmented generation (RAG) can ground large language models in external evidence, but retrieved context does not guarantee that generated claims are factually supported. This problem is especially relevant in multi-hop RAG, where retrieval and reasoning proceed through multiple dependent stages. We study whether claim-level conformal factuality control, previously developed for RAG, remains effective in this setting. We apply split-conformal claim filtering to multi-hop RAG and evaluate it on HotpotQA, Natural Questions, and TriviaQA using Llama 3.1 8B and GPT-4o-mini, together with a single-hop reference experiment. Across all six multi-hop model-dataset configurations, increasingly stringent conformal targets consistently increase the fraction of responses whose retained claims are fully supported. At the 95% target, this rate ranges from 95.80% to 97.20%, compared with 55.60%-76.03% without filtering. However, the improvement is strongly selective: only 4.41%-31.09% of generated claims are retained and 9.70%-51.40% of responses remain non-empty at the 95% target. These results show that conformal factuality extends to multi-hop RAG, while demonstrating that nominal reliability must be interpreted jointly with claim retention and abstention.
Figures & tables
| Retrieval | Model | Datasets |
|---|---|---|
| Plain RAG | Llama 3.1 8B | HotpotQA |
| Multi-Hop RAG | Llama 3.1 8B | HotpotQA, NQ, TriviaQA |
| Multi-Hop RAG | GPT-4o-mini | HotpotQA, NQ, TriviaQA |
| Base | 90% target | 95% target | ||||||
|---|---|---|---|---|---|---|---|---|
| Model | Dataset | FS | FS | NE | Ret | FS | NE | Ret |
| Llama 3.1 8B | HotpotQA | 68.60 | 91.13 | 60.57 | 32.39 | 96.90 | 22.00 | 8.35 |
| NQ | 76.03 | 88.70 | 66.53 | 41.10 | 95.80 | 31.90 | 14.94 | |
| TriviaQA | 55.60 | 89.93 | 63.03 | 40.52 | 96.50 | 51.40 | 28.17 | |
| GPT-4o-mini | HotpotQA | 64.80 | 90.30 | 51.80 | 27.86 | 97.20 | 10.80 | 5.16 |
| NQ | 57.70 | 90.23 | 31.97 | 19.73 | 96.43 | 9.70 | 4.41 | |
Appendix figures & tables3 assets
Supplementary material from the paper’s appendix.
Appendix
| Target | Non-empty | Claims retained | Supported claims | Fully supported non-empty |
|---|---|---|---|---|
| 80.0 | 81.43 | 67.40 | 90.34 | 76.61 |
| 85.0 | 72.20 | 52.96 | 91.32 | 82.87 |
| 90.0 | 61.07 | 41.25 | 91.01 | 85.16 |
| 92.5 | 44.83 | 25.82 | 88.99 | 86.98 |
| 95.0 | 20.97 | 11.10 | 86.67 | 88.51 |
| Dataset | Target | Non-empty | Claims retained | Supported claims | Fully supported non-empty |
|---|---|---|---|---|---|
| HotpotQA | 80.0 | 88.60 | 68.39 | 88.22 | 78.65 |
| 85.0 | 76.67 | 47.01 | 90.33 | 84.95 | |
| 90.0 | 60.57 | 32.39 | 90.47 | 87.06 | |
| 92.5 | 42.93 | 20.16 | 89.67 | 86.83 | |
| 95.0 | 22.00 | 8.35 | 93.54 | 90.83 | |
| NQ | 80.0 | 92.80 | 82.99 | 92.60 | 79.75 |
| Dataset | Target | Non-empty | Claims retained | Supported claims | Fully supported non-empty |
|---|---|---|---|---|---|
| HotpotQA | 80.0 | 79.80 | 53.44 | 88.96 | 76.91 |
| 85.0 | 65.73 | 38.19 | 90.46 | 81.61 | |
| 90.0 | 51.80 | 27.86 | 90.67 | 83.82 | |
| 92.5 | 32.47 | 16.14 | 90.36 | 85.07 | |
| 95.0 | 10.80 | 5.16 | 85.48 | 78.48 | |
| NQ | 80.0 | 64.60 | 44.69 | 87.12 | 70.28 |
Retrieval-Augmented Generation
Retrieval-augmented generation connects language models to external knowledge so answers can use current, domain-specific evidence.
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