mlsanityData to 7 Oct 2026

Training-Free Halving of Activated Experts in Fine-Grained Mixture-of-Experts Models

arXiv 2609.04575 ↗First posted 4 Sep 2026cs.LG cs.AIcited by 0

On the map: Mixture-of-experts → MoE theory and gating functions

Abstract (arXiv)

Modern fine-grained Mixture-of-Experts (MoE) models route each token to a small number of experts and renormalize their router probabilities. We show that this renormalization implicitly calibrates expert output gain to the training top-k: reducing k at inference changes not only which experts are used but also the strength of the expert branch. We separate these effects by activating the top k1 experts while normalizing by the probability mass of the top k2 experts, introducing one integer with no parameters, training, or measurable compute overhead. On Qwen3.6-35B-A3B, reducing from 8 to 4 experts causes a 4.65-point MMLU drop under standard renormalization but only 0.35 points with k2=16, while halving routed-expert compute. The result replicates on the 11× larger Qwen3.5-397B-A17B, where reducing from 10 to 5 experts loses only 0.55 points with an appropriate reference set. Removing renormalization entirely is catastrophic, showing that preserving a suitable reference mass is crucial. We further find that perplexity and downstream accuracy favor different k2, cautioning against selecting MoE compression settings using unlabeled text alone. Analyses also show that expert identity matters substantially more than expert weighting, while balanced and domain-specialized routing leaves limited room for expert pruning.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in MoE theory and gating functions, one of 12 directions in Mixture-of-experts. Builds on 19 of its 24 references that are in the map. First posted on arXiv 4 Sep 2026.

Builds on

19 of 24 references.

References · 19

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
  3. 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,014
  4. 2016Pointer Sentinel Mixture Modelscited by 2,992
  5. 2022GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformerscited by 1,838
  6. 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,601
  7. 2023AWQ: Activation-aware Weight Quantization for LLM Compression and Accelerationcited by 1,234
  8. 2024DeepSeekMoE: Towards Ultimate Expert Specialization in Mixture-of-Experts Language Modelscited by 834
  9. 2023C-Eval: A Multi-Level Multi-Discipline Chinese Evaluation Suite for Foundation Modelscited by 694
  10. 2022Mixture-of-Experts with Expert Choice Routingcited by 611
  11. 2022ST-MoE: Designing Stable and Transferable Sparse Expert Modelscited by 391
  12. 2024OpenMoE: An Early Effort on Open Mixture-of-Experts Language Modelscited by 185
7 more
  1. 2023Merge, Then Compress: Demystify Efficient SMoE with Hints from Its Routing Policycited by 104
  2. 2023Compressing LLMs: The Truth is Rarely Pure and Never Simplecited by 59
  3. 2024AdaMoE: Token-Adaptive Routing with Null Experts for Mixture-of-Experts Language Modelscited by 41
  4. 2025REAP the Experts: Why Pruning Prevails for One-Shot MoE compressioncited by 40
  5. 2025Elastic MoE: Unlocking the Inference-Time Scalability of Mixture-of-Expertscited by 10
  6. 2025Training Matryoshka Mixture-of-Experts for Elastic Inference-Time Expert Utilizationcited by 6
  7. 2026Post-Trained MoE Can Skip Half Experts via Self-Distillationcited by 4

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  1. 2023Revisiting Single-gated Mixtures of Experts
  2. 2024Beyond Parameter Count: Implicit Bias in Soft Mixture of Experts
  3. 2024Unchosen Experts Can Contribute Too: Unleashing MoE Models' Power by Self-Contrast
  4. 2026The qs Inequality: Quantifying the Double Penalty of Mixture-of-Experts at Inference
  5. 2026∞-MoE: Generalizing Mixture of Experts to Infinite Experts
  6. 2026Towards a Statistical Understanding of Mixture-of-Experts
  7. 2026Dense Mixture-of-Experts as a Reparameterized Wide FFN: A Granularity Sweep at Fixed Compute
  8. 2026RAZOR: Pruning Replaceable Experts in LLMs