arXiv AI By Hao Cheng (Zhejiang Gongshang University), Zhiyu Yang (Chang'an University), Bo Ma (Zhejiang Gongshang University), Hanzhang Jia (University of Sussex)

Matching the Training-Time Weight Rule in Inference-Time Expert Deactivation

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The paper investigates how different expert‑deactivation strategies at inference time—removal, freezing, remaining‑expert renormalization, and unnormalized re‑routing—affect token routing and expert weights. Experiments across five instruction‑tuned checkpoints from four model families, plus a base OLMoE checkpoint, show that the choice of strategy interacts with the training‑time weight rule: renormalization performs best when models were trained with raw router probabilities, while unnormalized re‑routing is superior when trained with normalized weights. A weight‑sum model links loss of expert contributions and branch‑scale changes to the training rule, revealing that mismatches can inflate perplexity by up to 28,740× and that additional renormalization penalties grow as fewer experts are activated.

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