Function Over Form: Distributional Orthogonalization in Mixture-of-Experts with Replica Expert Mechanism
On the map: Mixture-of-experts → Expert routing strategies also fits: Efficient MoE training and inference systems
Abstract (arXiv)
The scaling of LLMs increasingly relies on MoE architectures to decouple active computation from total parameter count. However, the efficacy of MoE is often constrained by expert collapse and representation redundancy, both leading to underutilization of model capacity. To address these challenges, this paper proposes Distributional Orthogonalization Loss (DO-loss), an auxiliary regularization that shifts the focus from static weight diversity to dynamic routing behavior. By representing each expert's token assignment history as a high-dimensional binary load signature, DO-loss penalizes signature overlap to prevent expert collapse while encouraging functional specialization. To align this algorithmic design with system efficiency, we further introduce the Replica Expert Mechanism (REM), which improves load balancing through a two-tiered strategy: adjusting replica expert placement at the global-batch level and performing real-time token dispatching at the micro-batch level. Empirical evaluations demonstrate that our method outperforms the evaluated routing algorithms on downstream tasks for both 4.8BA0.5B and 30BA3B MoE models, while maintaining comparable training efficiency.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Expert routing strategies, one of 12 directions in Mixture-of-experts. Builds on 25 of its 32 references that are in the map. First posted on arXiv 26 Sep 2026.
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25 of 32 references.
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- 2025Coupling Experts and Routers in Mixture-of-Experts via an Auxiliary Loss29 Dec
- 2024Auxiliary-Loss-Free Load Balancing Strategy for Mixture-of-Experts28 Aug
- 2022Mixture-of-Experts with Expert Choice Routing18 Feb
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsity11 Jan
Other references · 21
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- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
- 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,895
- 2019Megatron-LM: Training Multi-Billion Parameter Language Models Using Model Parallelismcited by 1,829
- 2024Mixtral of Expertscited by 1,785
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
- 2020GLU Variants Improve Transformercited by 1,724
- 2019Similarity of Neural Network Representations Revisitedcited by 1,695
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,601
- 2023AGIEval: A Human-Centric Benchmark for Evaluating Foundation Modelscited by 701
9 more
- 2023C-Eval: A Multi-Level Multi-Discipline Chinese Evaluation Suite for Foundation Modelscited by 694
- 2022DeepSpeed-MoE: Advancing Mixture-of-Experts Inference and Training to Power Next-Generation AI Scalecited by 400
- 2022ST-MoE: Designing Stable and Transferable Sparse Expert Modelscited by 391
- 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 291
- 2025Demons in the Detail: On Implementing Load Balancing Loss for Training Specialized Mixture-of-Expert Modelscited by 53
- 2025Advancing Expert Specialization for Better MoEcited by 37
- 2023Diversifying the Mixture-of-Experts Representation for Language Models with Orthogonal Optimizercited by 28
- 2024Prediction Is All MoE Needs: Expert Load Distribution Goes from Fluctuating to Stabilizingcited by 10
- 2024Pro-Prophet: A Systematic Load Balancing Method for Efficient Parallel Training of Large-scale MoE Modelscited by 4
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- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Experts
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- 2026Share First, Route What Remains: A Unified Framework for Token-Adaptive MoE Computation