Zero-dimensional persistent homology on transformer layer hidden states yields three descriptors per layer whose concatenation improves ill-posedness classification and enables topology-conditioned activation steering across three LLMs.
Reliablemath: Benchmark of reliable mathemati- cal reasoning on large language models.CoRR, abs/2507.03133
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ProofRank benchmark shows substantial differences in LLM proof quality not captured by correctness, with trade-offs between quality metrics and accuracy.
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The Topology of Ill-Posed Questions: Persistent Homology for Detection and Steering in LLMs
Zero-dimensional persistent homology on transformer layer hidden states yields three descriptors per layer whose concatenation improves ill-posedness classification and enables topology-conditioned activation steering across three LLMs.