Despite the success of Large Language Models (LLMs) in long-context tasks, their reliability in recognizing unanswerable questions remains a critical challenge. In information-seeking scenarios, models often suffer from overconfidence and hallucinations when evidence is missing or misleading. In this paper, we propose FACTGUARD, a systematic multi-task workflow for generating evidence-grounded answerable and unanswerable questions. We introduce FACTGUARD-BENCH, a benchmark comprising 25,220 examples with context lengths up to 128K, specifically targeting Lack of Evidence and Misleading Evidence scenarios. Evaluations of eleven representative open-source and proprietary LLMs reveal a significant reliability gap: models struggle to reject unanswerable questions as context scales, with the leading model achieving only 71.62% accuracy. By training with FACTGUARD-BENCH, we improve overall accuracy to 81.17% and significantly enhance models' reasoned rejection capabilities. Our work provides a scalable path toward building more faithful and trustworthy long-context LLMs. Our source is publicly available at https://github.com/biaoliu-kiritsugu/FactGuard.
Figures & tables
Figure 1: Illustration of FactGuard for data synthesis in a collaborative multi-task workflow framework.
Lack of Evidence. The question is related to the article, but the factual basis is deleted.
Fragment: …There had been a lack of confidence in Murray since Romani, and the two failed Gaza battles increased his unpopularity among both the infantry and the mounted troops. After the war Allenby acknowledged Murray’s achievements in a June 1919 despatch in which he summed up his campaigns … Question: According to this article, in what year did Allenby recognize Murray’s accomplishments in his circular? Answer: The question cannot be answered. The article mentions Murray’s performance in the battle, but does not mention what year Allenby recognized his accomplishments.
Misleading Evidence. The key information of the question is misaligned against the facts of the article.
Fragment: Global and Local Mixture Consistency Cumulative Learning (GLMC) for Long-Tailed Visual Recognition…The paper introduces GLMC , a one-stage training strategy designed to improve long-tailed visual recognition by enhancing the robustness of the feature extractor and reducing the bias of the classifier towards head classes. GLMC uses a global and local mixture consistency loss … Raw Question: What are the core ideas behind the Global and Local Mixture Consistency cumulative learning (GLMC) framework and how does it improve long-tailed visual recognition? Question 1 with Entity Substitution: What are the core ideas behind the Global and Local Augmentation Consistency Learning (GLACL) framework and how does it improve long-tailed visual recognition? Answer 1 : The article focuses on GLMC and does not mention GLACL. The core ideas of GLACL cannot be answered, but about GLMC… Question 2 with Impossible Condition Insertion: What are the core ideas behind the Global and Local Mixture Consistency cumulative learning (GLMC) framework and how does it improve long-tailed visual recognition on CIFAR-100-LT ? Answer 2 : The article does not mention CIFAR-100-LT. The question of how GLMC improves long-tailed visual recognition on CIFAR-100-LT cannot be answered, but the article mentioned GLMC improve long-tailed visual recognition by enhancing…
Table 1: A detailed categorization of unanswerable examples in FactGuard - Bench .
English (En)
Chinese (Zh)
Split
Overall
0-16k
16-32k
32-64k
64-128k
0-16k
16-32k
32-64k
64-128k
Train
19100
2043
2508
3077
3071
4065
3141
826
369
Dev
1920
300
300
270
270
300
120
300
60
Test
4200
600
600
600
600
600
300
300
600
Table 2: Detailed statistics of FactGuard - Bench .
Dataset
Large-scale (#Num)
Long Context
GT w/ Reason
Low Human Cost
Language
SQuAD 2.0 ( Rajpurkar et al., 2018 )
✓ (151k)
✗
✗
✗
en
QnotA ( Agarwal et al., 2023 )
✗ (320)
✗
✗
✗
en
KUQP ( Deng et al., 2024 )
✗ (320)
✗
✗
✗
en
FactGuard - Bench
✓ (25k)
✓
✓
✓
en&zh
Table 3: Distinguishing features of unanswerable question datasets.
English (En)
Chinese (Zh)
Model
Overall
Ans.
Lack.
Mis.
Ans.
Lack.
Mis.
Proprietary & Open-Source Models
Gemini-3-Pro-Preview
71.62
90.50
53.00
74.71
89.00
51.33
74.67
Gemini1.5-Pro
58.20
86.25
54.60
59.61
83.05
45.45
50.81
GPT-4o
45.90
89.89
41.57
40.78
87.89
37.06
30.30
DeepSeek-V4-Pro
56.83
87.75
53.50
60.07
84.67
42.22
40.95
Table 4: Comprehensive results on the FactGuard - Bench test set. The table compares SOTA baselines with the Qwen2.5 series before and after SFT / LoRA. Subscripts denote the absolute change versus the corresponding Qwen2.5-{3,7,14,32}B-Instruct baseline ( ↑ red for gains, ↓ green for drops). Ans., Lack., and Mis. denote Answerable questions, Lack of evidence, and Misleading evidence.
Figure 2: Distributions of FactGuard - Bench in terms of domain, question type and length.
Figure 3: Percentage breakdown of answering unanswerable questions in the FactGuard - Bench test set.
Figure 4: Model performance under different experimental settings. Panels (a) and (b) report prediction accuracy across input-length intervals for general LLMs and SFT-tuned Qwen models, respectively, while panel (c) shows model accuracy under different data ratios.
Model
Tuning
Overall
Answerable
Unanswerable
Qwen2.5 Series (Base Instruct)
Qwen2.5-7B-Instruct
-
69.43
94.16
44.77
Qwen2.5-32B-Instruct
-
78.66
94.43
62.93
Qwen2.5 Series (After SFT)
Qwen2.5-7B-Ins-SFT
SFT
83.20 ↑20%
86.10 ↓8%
80.30 ↑79%
Qwen2.5-32B-Ins-SFT
SFT
79.47 ↑1%
90.55 ↓4%
68.41 ↑9%
Table 5: Prediction accuracy on the dev set of SQuAD 2.0. We compare the baseline Instruct models with their SFT and LoRA variants. Subscripts denote the percentage change relative to the corresponding Qwen2.5-{7,32}B-Instruct ( ↑ red for gains, ↓ green for drops).
Appendix figures & tables10 assets
Supplementary material from the paper’s appendix.
Appendix
Table 10
Category
#Samples
Quality (%)
Answerable
120
94.17
Unanswerable
Lack of evidence
120
96.67
Misleading evidence
240
92.50
Sub-total
360
93.89
Overall
480
93.96
Appendix
Table 6: Manual review of synthetic data quality.
Category
#Samples
Quality (%)
Task 1: Answer Consistency Evaluation
Answerable
80
95.00
Lack of evidence
60
93.33
Misleading evidence
160
93.75
Overall
300
94.00
Task 2: Reasoning Ability for Unanswerable Questions
Appendix
Table 7: Manual review results of judgment quality by the discriminative model on Qwen2.5-72B response answers.
Question Type
Agreement Rate
Cohen’s κ
Lack of Evidence
96.3%
0.925
Misleading Evidence
93.0%
0.738
Answerable
93.5%
0.648
Appendix
Table 8: Agreement and Cohen’s κ between Qwen2.5-72B-Instruct and DeepSeek-V3-0324
Model
Rej.
Rej.+Reason
Reason Acc.
Ministral-3B-Instruct
Base
1453
962
66.21
+ LoRA
2131
1469
68.93
+ SFT
2704
2377
87.91
Ministral-8B-Instruct
Base
1880
1390
73.94
Appendix
Table 9: Reason-grounded rejection on the 3,500 unanswerable test questions of FactGuard - Bench . Rej. counts correct rejections (the surface metric used in the main results); Rej.+Reason counts rejections whose stated reason is also grounded in the document; Reason Acc. (%) is the fraction of correct rejections that carry a correct reason.
Figure 5: Case study. An example of lack of evidence in English on the left, and an example of misleading evidence in Chinese on the right (translated below). Red underlined text indicates hallucinatory content and green italicized text indicates useful explanations.
FactGuard - Bench
SQuAD 2.0
English (En)
Chinese (Zh)
Model
Overall
Ans.
Lack.
Mis.
Ans.
Lack.
Mis.
Overall
Ans.
Unans.
Llama-3.1-8B-Instruct
Base
41.21
82.00
58.35
41.20
82.67
31.28
13.14
73.22
93.55
52.95
+ SFT
77.91
83.25
72.08
83.32
69.67
86.31
74.19
80.34
80.83
79.85
Ministral-3B-Instruct
Appendix
Table 10: Cross-family generalization. Performance of Llama-3.1-8B-Instruct and the Ministral series on FactGuard - Bench (test set) and SQuAD 2.0 (dev set) before and after fine-tuning with FactGuard - Bench . Ans., Lack., Mis., and Unans. denote Answerable, Lack of evidence, Misleading evidence, and Unanswerable, respectively. Bold marks the best overall accuracy within each model family.
Dataset
Samples
Mean
Min / Max
SQuAD 2.0
11,873
167
30 / 780
PeerQA
579
11,645
2,670 / 52,360
FactGuard - Bench
4,200
15,554
935 / 127,665
Appendix
Table 11: Context length of the evaluation datasets, measured in Llama-3 tokenizer tokens. Sample counts refer to the split used for evaluation ( FactGuard - Bench test set).
Binary classification
Gen.
Model
Unans. P/R
Ans. P/R
M-F1
R-L
Ministral-3B-Instruct
Base
0.54 / 0.12
0.80 / 0.97
0.54
0.2825
+ LoRA
0.28 / 0.52
0.83 / 0.64
0.54
0.3073
+ SFT
0.25 / 0.59
0.83 / 0.53
0.50
0.2803
Ministral-8B-Instruct
Appendix
Table 12: PeerQA under the binary-classification protocol of Baumgärtner et al. (2025) (414 answerable / 112 unanswerable). P/R are per-class precision and recall, M-F1 is Macro-F1 over the two classes, and R-L is ROUGE-L against the GPT-4-augmented reference answer on the answerable subset.
Model
Ans.
Unans.
Overall
Ministral-3B-Instruct
Base
26.81
28.57
27.19
+ LoRA
38.41
66.07
44.30
+ SFT
46.86
72.32
52.28
Ministral-8B-Instruct
Base
35.02
40.18
36.12
Appendix
Table 13: PeerQA under the LLM-as-judge protocol used throughout this paper (Qwen2.5-72B-Instruct), which scores the generated response rather than an explicit label. Accuracy (%) on the same 526 samples.
Large language model reliability studies whether outputs remain correct, calibrated, robust, and controllable across prompts, contexts, and deployment conditions.
Department of Electrical Engineering & Computer Science, University of Michigan, Ann Arbor, MI 48109, USA · Independent Researcher, Ann Arbor, MI 48106, USA