mlsanityData to 14 Oct 2026

Output Dilution: Redundant but Fragile Representations in MoE Models

arXiv 2608.25231 ↗First posted 25 Aug 2026cs.LG cs.AI cs.CLcited by 1

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

Abstract (arXiv)

Mixture-of-Experts (MoE) models appear to encode moral content as robustly as dense models, yet prove far more fragile in their encoding. In OLMoE-1B-7B, linear probes recover moral valence from nearly every expert-layer combination, with mean peak-layer accuracy above 90%. But these representations collapse under levels of activation noise that a dense model of matched size easily tolerates, with a 4.2-fold difference in robustness. We trace this to output dilution. Because the MoE block averages across active experts before contributing to the residual stream, the feedforward signal reaching downstream layers is nearly two orders of magnitude smaller than in a dense MLP. Moral information, our interest, survives aggregation intact but at a scale trivially overwhelmed by perturbation. Routing itself remains stable under noise while the vulnerability originates entirely in the diluted aggregate. Checkpoint trajectories confirm this is architectural, not learned. Experts never specialize and accuracy saturates within the first few thousand steps. In sparse architectures, redundant encoding does not imply robust encoding.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in MoE theory and gating functions, one of 12 directions in Mixture-of-experts. Builds on 15 of its 18 references that are in the map. First posted on arXiv 25 Aug 2026.

Builds on

15 of 18 references.

References · 15

  1. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,509
  2. 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,073
  3. 2022Locating and Editing Factual Associations in GPTcited by 2,691
  4. 2024Mixtral of Expertscited by 1,823
  5. 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,631
  6. 2021Probing Classifiers: Promises, Shortcomings, and Advancescited by 876
  7. 2024DeepSeekMoE: Towards Ultimate Expert Specialization in Mixture-of-Experts Language Modelscited by 867
  8. 2024OLMo: Accelerating the Science of Language Modelscited by 613
  9. 2018What you can cram into a single vector: Probing sentence embeddings for linguistic propertiescited by 457
  10. 2018Insights on representational similarity in neural networks with canonical correlationcited by 324
  11. 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 301
  12. 2020Causal Mediation Analysis for Interpreting Neural NLP: The Case of Gender Biascited by 191
3 more
  1. 2022On the Representation Collapse of Sparse Mixture of Expertscited by 157
  2. 2021Taming Sparsely Activated Transformer with Stochastic Expertscited by 113
  3. 2026When Probing Accuracy Saturates, Fragility Resolves: A Complementary Metric for LLM Pre-Training Analysiscited by 4

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Citing papers per year: 2026: 1.

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  1. 2024Beyond Parameter Count: Implicit Bias in Soft Mixture of Experts
  2. 2026The qs Inequality: Quantifying the Double Penalty of Mixture-of-Experts at Inference
  3. 2026The Expert Strikes Back: Interpreting Mixture-of-Experts Language Models at Expert Level
  4. 2024Unchosen Experts Can Contribute Too: Unleashing MoE Models' Power by Self-Contrast
  5. 2025Mixture of Experts Made Intrinsically Interpretable
  6. 2026Robustness of Mixtures of Experts to Feature Noise
  7. 2025On the Expressive Power of Mixture-of-Experts for Structured Complex Tasks
  8. 2024A Closer Look into Mixture-of-Experts in Large Language Models