When Answers Stray from Questions: Hallucination Detection via Question-Answer Orthogonal Decomposition

Fuente: arXiv
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Autori principali: Yao, Siyang, Feng, Erhu, Xia, Yubin
Natura: Preprint
Pubblicazione: 2026
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author Yao, Siyang
Feng, Erhu
Xia, Yubin
author_facet Yao, Siyang
Feng, Erhu
Xia, Yubin
contents Hallucination detection in large language models (LLMs) requires balancing accu racy, efficiency, and robustness to distribution shift. Black-box consistency methods are effective but demand repeated inference; single-pass white-box probes are effi cient yet treat answer representations in isolation, often degrading sharply under domain shift. We propose QAOD (Question-Answer Orthogonal Decomposition), a single-pass framework that projects away the question-aligned direction from the answer representation to obtain a question-orthogonal component that suppresses domain-conditioned variation. To identify informative signals, QAOD further selects layers via diversity-penalized Fisher scoring and discriminative neurons via Fisher importance. To address both in-domain detection and cross-domain generalization, we design two complementary probing strategies: pairing the or thogonal component with question context yields a joint probe that maximizes in-domain discriminability, while using the orthogonal component alone preserves domain-agnostic factuality signals for robust transfer. QAOD's joint probe achieves the best in-domain AUROC across all evaluated model-dataset pairs, while the orthogonal-only probe delivers the strongest OOD transfer, surpassing the best white-box baseline by up to 21% on BioASQ at under 25% of generation cost.
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id arxiv_https___arxiv_org_abs_2605_14449
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publishDate 2026
record_format arxiv
spellingShingle When Answers Stray from Questions: Hallucination Detection via Question-Answer Orthogonal Decomposition
Yao, Siyang
Feng, Erhu
Xia, Yubin
Machine Learning
Artificial Intelligence
Computation and Language
Hallucination detection in large language models (LLMs) requires balancing accu racy, efficiency, and robustness to distribution shift. Black-box consistency methods are effective but demand repeated inference; single-pass white-box probes are effi cient yet treat answer representations in isolation, often degrading sharply under domain shift. We propose QAOD (Question-Answer Orthogonal Decomposition), a single-pass framework that projects away the question-aligned direction from the answer representation to obtain a question-orthogonal component that suppresses domain-conditioned variation. To identify informative signals, QAOD further selects layers via diversity-penalized Fisher scoring and discriminative neurons via Fisher importance. To address both in-domain detection and cross-domain generalization, we design two complementary probing strategies: pairing the or thogonal component with question context yields a joint probe that maximizes in-domain discriminability, while using the orthogonal component alone preserves domain-agnostic factuality signals for robust transfer. QAOD's joint probe achieves the best in-domain AUROC across all evaluated model-dataset pairs, while the orthogonal-only probe delivers the strongest OOD transfer, surpassing the best white-box baseline by up to 21% on BioASQ at under 25% of generation cost.
title When Answers Stray from Questions: Hallucination Detection via Question-Answer Orthogonal Decomposition
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2605.14449