TIPS: Topological Ill-Posedness Probing and Steering in Large Language Models

Excerpt

arXiv:2606.23590v2 Announce Type: replace Abstract: Ill-posed questions, including those involving ambiguity, under-specification, or conflicting statements, may admit no valid answer or multiple plausible answers, posing a significant challenge for large language models (LLMs) despite their otherwise strong performance. Existing work often treats LLM reasoning as a black box and focuses on input-output analysis. Can a compact, unified topological representation of internal model states capture