knowledge-knows-verbalization-tells-disentangling-latent-directions-for-mathematical-solvability-in-llms-5d4059e1·1 events·first seen Aliases: Knowledge Knows, Verbalization Tells: Disentangling Latent Directions for Mathematical Solvability in LLMs
A new arXiv preprint probes LLM internal representations to separately decode 'solvability knowledge' and 'verbalization' as distinct linear directions in hidden states. The authors find that fabrication (hallucination of solutions to unsolvable problems) is primarily driven by shifts in verbalization representations rather than underlying knowledge. Prompting with unsolvability cues and activation steering can mechanistically shift verbalization to improve model abstention. The work advances mechanistic understanding of why LLMs confabulate on unsolvable math problems.