Spectral Query-Key Product Weight Steering for Training-Free VLM Hallucination Mitigation

Karn Tiwari, Varnith Chordia, Prathosh AP


Abstract
Vision-language models (VLMs) often generate fluent but visually unsupported descriptions, especially by mentioning objects absent from the image. We propose QK Product Steering, a data-free, training-free, and zero-inference-cost weight edit for reducing object hallucination. The method directly edits the per-head query-key product, the operator that produces pre-softmax attention logits, by suppressing a small number of dominant singular modes in selected middle layers. The edited product is then mapped back to the query weights through a closed-form query-only update while keeping shared key weights fixed, making the edit compatible with grouped-query attention. We further decompose the QK product into symmetric and antisymmetric components to distinguish mutual content-similarity patterns from directional attention patterns. Across three GQA-based VLMs, QK Product Steering achieves an average relative CHAIRs reduction of 5.8%, while matched random-mode controls show negligible change. Interpretability ablations show that the hallucination signal is specific to dominant QK modes and is primarily localized to the symmetric mutual-attention channel. Overall, QK Product Steering offers a simple alternative to decoding-time mitigation, requiring no additional data, fine-tuning, or inference-time overhead while largely preserving general multimodal capability.
Anthology ID:
2026.findings-emnlp.742
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
15587–15616
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.742/
DOI:
10.18653/2026.findings-emnlp.742
Bibkey:
Cite (ACL):
Karn Tiwari, Varnith Chordia, and Prathosh AP. 2026. Spectral Query-Key Product Weight Steering for Training-Free VLM Hallucination Mitigation. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 15587–15616, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Spectral Query-Key Product Weight Steering for Training-Free VLM Hallucination Mitigation (Tiwari et al., Findings 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.findings-emnlp.742.pdf