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#artificial intelligence Preprint Sep 2026

On the Token Value Inequality in Efficient Reasoning

This work presents a diagnostic and optimization framework grounded in a key empirical finding: the value of tokens within a CoT reasoning sequence is highly non-uniform, and this non-uniformity can be effectively characterized by token-level log probability signals.

Run-Jia Zeng, Hang Hua, Yiyang Liu et al. · 0 citations
Open access Jul 2026

Symmetry Diagnostics for Equivariant Molecular Force Fields: When a Bulk Metric Manufactures a Gauge Artifact

Equivariant graph neural networks encode the E(3) symmetries that molecular force fields must obey, yet they are often trained against geometric objectives whose own symmetry is rarely examined. We develop a symmetry-sensitive diagnostic protocol that combines rigid-transform invariance and equivariance metrics, a pari...

Cheng Han, Fei Wang, Jiyao Liang et al. · 0 citations

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