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KNOWLEDGE BOUNDARIES & UNCERTAINTY

From latent knowledge
to reliable answers.

Why capable models still get facts wrong—and what it takes to make their answers trustworthy.

A model may know more than it can reliably express, yet be confident about answers that are wrong. Correct answers can hide in the low-probability tail; mistakes can be repeated consistently. External evidence adds another challenge: a model can overlook the right information or be diverted by misleading context.

We study the journey from knowledge to reliable answers: improving factual recall, assessing uncertainty at the right granularity, and learning how to use evidence or withhold an answer. These are complementary research directions, each addressing a different gap between a model’s capabilities and its behavior.

THE STARTING POINT

When certainty misleads.

Consistent answers and convincing context can both point in the wrong direction.

ACL 2024

Blinded by Generated Contexts: How Language Models Merge Generated and Retrieved Contexts When Knowledge Conflicts?

More context can make an answer worse.

When generated and retrieved passages conflict, models often favor generated text—even when it is wrong. Our controlled study examines the roles of question similarity and semantic completeness. The preference persists when generated text conflicts with the model’s parametric knowledge, revealing a source-selection problem beyond simply trusting familiar facts.

Original Figure 2, with panels (a), (b), and (c) arranged vertically: retrieved context gives the correct cross-country skiing answer; generated context gives skeleton; the hybrid system follows the incorrect generated answer.
Original Fig. 2 · Panels (a), (b), and (c) stacked for readability. Open to enlarge.

EMNLP 2025

Too Consistent to Detect: A Study of Self-Consistent Errors in LLMs

We identify wrong answers that stay semantically unchanged across repeated samples. These errors persist as models grow in our experiments and challenge several kinds of detectors. Cross-model hidden-state evidence helps expose blind spots that the answering model’s own signals can miss.

All five detectors, shown together: AUROC on inconsistent versus self-consistent errors is 0.7148 versus 0.5360 for probability, 0.8373 versus 0.7478 for P(True), 0.9119 versus 0.4453 for semantic entropy, 0.9467 versus 0.8626 for an in-domain probe, and 0.9696 versus 0.9088 with a cross-model probe.
Replotted from Table 2 · Qwen2.5-7B-Instruct / TriviaQA. CE and IE are different error subsets, each evaluated against correct answers. AUROC measures discrimination; 0.5 is chance. The probes use supervised training.

01   /   ACCESS

Knowledge can be present,
yet hard to reach.

A failed recall is an observation about an answer—not a complete inventory of what a model knows.

arXiv 2026

Beyond Reasoning: Reinforcement Learning Unlocks Parametric Knowledge in LLMs

In one-hop, closed-book QA without explicit chain-of-thought, correctness-reward RL makes factual knowledge easier to recall. Fact-level train–test deduplication and sampling analyses support a shift in accessibility: correct answers move from the low-probability tail toward reliable output. When correct answers are too rare to reinforce, gains remain limited.

RL changes how easily the correct answer can be reached.

pass@k means at least one correct answer within k samples; it is not majority-vote accuracy. Pre-RL models are the starting instruction-tuned checkpoints. The curves support improved accessibility rather than directly measuring stored knowledge. Each panel keeps its original y-axis range; the sample-budget axis is shared.

Original Figure 5 rearranged vertically: Llama, OLMo, and Qwen pass-at-k curves on Natural Questions, with the shared pre-RL/post-RL legend. All three panels share the Natural Questions dataset and pass-at-k metric. Curves and original y-axis ranges are preserved; Qwen retains a gap at the largest sample budget.
Natural Questions (NQ) · pass@k performance

02   /   ASSESS

Give confidence something
meaningful to say.

Three complementary questions: what to align, where to look, and how finely to judge.

ALIGNMENT

Findings of ACL 2024

When to Trust LLMs: Aligning Confidence with Response Quality

CONQORD combines a response-quality reward with an order-preserving confidence reward. It encourages higher-quality answers to carry greater stated confidence, while discouraging low-quality, low-confidence shortcuts. The calibrated signal can also guide whether to retrieve external knowledge.

Answer qualityReward better responses.
Confidence alignmentMatch the ordering of confidence and quality.

R = Rquality + α Ralignment

Reward schematic: Eq. 4. Confidence-guided retrieval: §5.4.

REFERENCE SIGNALS

ACL 2026

BaseCal: Unsupervised Confidence Calibration via Base Model Signals

Post-training can leave confidence less well calibrated. BaseCal uses the corresponding base model as a reference: by rescoring answers, or by learning a lightweight projection toward base-model representations. The answering model stays unchanged, and the projection requires no human correctness labels.

Original BaseCal Figure 1: OLMo2-7B base has ECE 0.044 and instruct has ECE 0.212 on TriviaQA, illustrating calibration differences rather than answer accuracy.
Original Fig. 1 · OLMo2-7B / TriviaQA. The base/instruct comparison diagnoses calibration; it is not a before/after BaseCal result.

GRANULARITY

SIGIR 2025

Fact-Level Calibration and Correction for Long-Form Generations

The boundary can run through a single answer.

A long response can mix reliable and unreliable claims. Our framework examines confidence alongside each fact’s correctness and relevance. CARE uses higher-confidence facts to help refine lower-confidence ones, turning a coarse judgment about an answer into targeted correction.

“Deep Blue was a Gochess computer developed by IBM that defeated Garry Kasparov in 1997.”
DeveloperIBMRetain
OpponentGarry KasparovRetain
Year1997Retain
GameGo → chessRevisit
Conceptual correction example adapted from the author preprint; these are not measured confidence scores. The preprint calls its method ConFix; the SIGIR version uses CARE.

03   /   ACT

Make the response a choice.

Use helpful evidence, resist interference, and retain control over which answers are given.

Knowledgeable-R1 jointly trains parametric, context-aware, and robust-parametric views of the same question. Comparing their rewards helps the model use beneficial evidence and resist misleading context. The learned policy encodes knowledge use without an explicit inference-time confidence gate.

Knowledgeable-R1 compares three training views: parametric answers, context-aware answers, and the same parametric answers under context. On Qwen2.5-7B-Instruct, ConFiQA-MC with incorrect context, accuracy is 25.82% for query only, 8.06% for RAG, 19.74% for GRPO with RAG and 37.34% for Knowledgeable-R1.

Swipe to compare the training views and the experimental result.

Training schematic: §3. Results: Table 2, Qwen2.5-7B-Instruct / ConFiQA-MC, incorrect context (S2). The four values describe this setting, not all RAG tasks.

arXiv 2026

Strong yet Controllable LLM Abstention without Learning to Abstain

TAPS separates training for accurate answers from selecting which answers to give. A confidence threshold preserves control over coverage, while matched-coverage evaluation distinguishes answering gains from better rejection decisions. It needs no dedicated abstention objective; accuracy training and a probe can still require training.

Explore the TAPS project ↗

How much should a model answer?

Coverage is the fraction of questions answered; risk is the error rate among those answers. Drag the slider to compare methods at the same answer rate. The curves sweep operating points; each abstention-trained model has a fixed point.

Static figure and original paperOriginal TAPS Figure 1 risk–coverage comparison.

Original Fig. 1 ↗

PUBLICATIONS & RESOURCES

The papers behind this research.

  1. Blinded by Generated Contexts: How Language Models Merge Generated and Retrieved Contexts When Knowledge Conflicts?

    Hexiang Tan, Fei Sun, Wanli Yang, Yuanzhuo Wang, Qi Cao, Xueqi Cheng.

    ACL 2024 · Published conference paper · doi:10.18653/v1/2024.acl-long.337

  2. Too Consistent to Detect: A Study of Self-Consistent Errors in LLMs

    Hexiang Tan, Fei Sun, Sha Liu, Du Su, Qi Cao, Xin Chen, Jingang Wang, Xunliang Cai, Yuanzhuo Wang, Huawei Shen, Xueqi Cheng.

    EMNLP 2025 · Published conference paper · doi:10.18653/v1/2025.emnlp-main.238

  3. Beyond Reasoning: Reinforcement Learning Unlocks Parametric Knowledge in LLMs

    Wanli Yang, Hongyu Zang, Junwei Zhang, Wenjie Shi, Du Su, Jingang Wang, Xueqi Cheng, Fei Sun.

    arXiv 2026 · Preprint · doi:10.48550/arXiv.2605.07153

  4. When to Trust LLMs: Aligning Confidence with Response Quality

    Shuchang Tao, Liuyi Yao, Hanxing Ding, Yuexiang Xie, Qi Cao, Fei Sun, Jinyang Gao, Huawei Shen, Bolin Ding.

    Findings of ACL 2024 · Published conference paper · doi:10.18653/v1/2024.findings-acl.357

  5. BaseCal: Unsupervised Confidence Calibration via Base Model Signals

    Hexiang Tan, Wanli Yang, Junwei Zhang, Xin Chen, Rui Tang, Du Su, Jingang Wang, Yuanzhuo Wang, Fei Sun, Xueqi Cheng.

    ACL 2026 · Published conference paper · doi:10.18653/v1/2026.acl-long.234

  6. Fact-Level Calibration and Correction for Long-Form Generations

    Yige Yuan, Bingbing Xu, Hexiang Tan, Fei Sun, Teng Xiao, Wei Li, Huawei Shen, Xueqi Cheng.

    SIGIR 2025 · Published conference paper · doi:10.1145/3726302.3730195

  7. Resisting Contextual Interference in RAG via Parametric-Knowledge Reinforcement

    Chenyu Lin, Yilin Wen, Du Su, Hexiang Tan, Fei Sun, Muhan Chen, Chenfu Bao, Zhonghou Lv.

    ICLR 2026 · Published conference paper

  8. Strong yet Controllable LLM Abstention without Learning to Abstain

    Junwei Zhang, Yifei Wang, Wanli Yang, Hexiang Tan, Rui Tang, Xin Chen, Jingang Wang, Du Su, Fei Sun.

    arXiv 2026 · Preprint · doi:10.48550/arXiv.2610.16318