Author

Meng-Jia Xu

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#machine learning Preprint Oct 2026

Hesitation Has a Geometry: Entropy-Trained Hyperbolic Probes for Sparse Activation Steering

When a large language model solves a mathematical problem, its reasoning is largely hierarchical, and the solution often branches at a few tokens where the next-token entropy is high. Such tree-like structure embeds in hyperbolic space with far lower distortion than in Euclidean space. Activation steering, however, usu...

Ze-Yong Zhang, Tung Sum Thomas Kwok, Teng-Fei Ma et al. · 0 citations

#artificial intelligence May 2026

HyperGuide: Hyperbolic Guidance for Efficient Multi-Step Reasoning in Large Language Models

HyperGuide is introduced, a framework that treats reasoning as movement through a tree of states embedded in hyperbolic space that matches or exceeds the accuracy of search- and verifier-based baselines while generating substantially fewer tokens than these baselines and about as many as few-shot prompting.

Yuyu Liu, Haotian Xu, Yanan He et al. · arXiv.org · 3 citations