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About this paper

Huy Nguyen, Thong T. Doan, Quang Pham, Nghi D. Q. Bui, Nhat Ho, Alessandro Rinaldo

The paper analyzes how shared experts and normalized sigmoid gating affect expert estimation in sparse mixture-of-experts models. Under its assumptions, over-specified shared experts converge at approximately n^-1/4, while weakly identifiable routed experts under dense normalized sigmoid gating reach n^-1/2, up to logarithmic factors; sparse gating has no clear advantage. In SlimPajama tests, DeepSeek variants matched baseline performance in 70–80% of training steps.

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