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
Figure 1: Overview of claim-level conformal factuality control for multi-hop RAG. A question triggers multi-hop retrieval with query rewriting and evidence accumulation. The generated response is decomposed into atomic claims, scored for relevance, and filtered using the split-conformal threshold q^α . The separate calibration-only branch uses calibration scores and factuality annotations to determine this threshold.
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
Table 1: Experimental configurations. The Plain-RAG setting serves as a reference experiment; the six Multi-Hop RAG configurations constitute the primary evaluation.
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
Table 2: Main Multi-Hop RAG results. FS denotes the percentage of responses that are fully supported under the response-level conformal event, NE denotes non-empty responses, and Ret denotes generated claims retained after conformal filtering. All values are percentages and are averaged over 100 calibration–test splits.
Figure 2: Reliability–coverage trade-off for Multi-Hop RAG as the conformal target increases from 80% to 95% . Each trajectory corresponds to one model–dataset configuration; endpoint labels indicate the 80% and 95% targets. More stringent conformal filtering increases the fraction of responses satisfying the full-support event while generally decreasing the fraction of responses that retain any content.
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
Appendix
Table 3: Complete conformal target sweep for the Plain-RAG reference experiment on HotpotQA with Llama 3.1 8B. All values are percentages.
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
Appendix
Table 4: Complete conformal target sweeps for Multi-Hop RAG with Llama 3.1 8B. “Supported claims” is supported-claim factuality; the final column is response-level full support conditional on the filtered response being non-empty. All values are percentages.
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
Appendix
Table 5: Complete conformal target sweeps for Multi-Hop RAG with GPT-4o-mini. All values are percentages.
Incorporating specific knowledge into large language models via retrieval-augmented generation (RAG) is a widespread technique that fuels many of today's industry AI applications. A fundamental problem is to assess if the context retrieved by some similarity search provides indeed supporting facts, or instead misguides the generator with irrelevant information. It is critical to associate meaningful confidence measures about the factuality of the retrieval process with the generated answers. We present a new, two-staged approach to predict fact faithfulness of the output of retrieval-augmented generations. First, we employ conformal prediction to select only those retrieved chunks who have a high chance to come from the correct source. This approach in itself can improve answer quality by up to 6% in some of the studied datasets, however, the associated statistical guarantees do not hold generally, since the assumption of sample exchangeability depends on the retriever setup. We present diagnostic metrics to assess whether a setup is suitable. Second, we quantify confidence in the consistency of a generated final answer with a given retrieved context, using an attention-based factuality classifier. This approach can detect inconsistent answers with a chance of up to 77%. Our work helps to establish a novel type of certified RAG systems for a broad range of natural language industry applications.
Florian Geissler, Francesco Carella, Laura Fieback +1
Fraunhofer Institute for Cognitive Systems (IKS), Munich, Germany · Volkswagen AG, Wolfsburg, Germany
Large language models (LLMs) frequently hallucinate, limiting their reliability in knowledge-intensive applications. Retrieval-augmented generation (RAG) and conformal factuality have emerged as potential ways to address this limitation. While RAG aims to ground responses in retrieved evidence, it provides no statistical guarantee that the final output is correct. Conformal factuality filtering offers distribution-free statistical reliability by scoring and filtering atomic claims using a threshold calibrated on held-out data, however, the informativeness of the final output is not guaranteed. We systematically analyze the reliability and usefulness of conformal factuality for RAG-based LLMs across generation, scoring, calibration, robustness, and efficiency. We propose novel informativeness-aware metrics that better reflect task utility under conformal filtering. Across three benchmarks and multiple model families, we find that (i) conformal filtering suffers from low usefulness at high factuality levels due to vacuous outputs, (ii) conformal factuality guarantee is not robust to distribution shifts and distractors, highlighting the limitation that requires calibration data to closely match deployment conditions, and (iii) lightweight entailment-based verifiers match or outperform LLM-based model confidence scorers while requiring over 100× fewer FLOPs. Overall, our results expose factuality-informativeness trade-offs and fragility of conformal filtering framework under distribution shifts and distractors, highlighting the need for new approaches for reliability with robustness and usefulness as key metrics, and provide actionable guidance for building RAG pipelines that are both reliable and computationally efficient.
Retrieval-augmented generation (RAG) remains brittle on multi-hop questions in realistic deployment settings, where retrieved evidence may be noisy or redundant and only limited context can be passed to the generator. Existing controllers address parts of this problem, but typically either expand context additively, select from a fixed top-k set, or optimize relevance without explicitly repairing missing bridge facts. We propose AdaGATE, a training-free evidence controller for multi-hop RAG that frames evidence selection as a token-constrained repair problem. AdaGATE combines entity centric gap tracking, targeted micro-query generation, and a utility based selection mechanism that balances gap coverage, corroboration, novelty, redundancy, and direct question relevance. We evaluate AdaGATE on HotpotQA under clean, redundancy, and noise injected retrieval conditions. Across all three settings, AdaGATE achieves the best evidence F1 among the compared controllers, reaching 62.3% on clean data and 71.2% under redundancy injection, while using 2.6x fewer input tokens than Adaptive-k. These results suggest that explicit gap-aware repair, combined with token-efficient evidence selection, improves robustness in multi-hop RAG under imperfect retrieval. Our code and evaluation pipeline are available at https://github.com/eliguo/AdaGATE.
Yilin Guo, Yinshan Wang, Yixuan Wang
Center for Data Science New York University · Tandon School of Engineering New York University