mlsanityData to 14 Oct 2026

Chain-of-Experts: Unlocking the Communication Power of Mixture-of-Experts Models

arXiv 2506.18945 ↗First posted 23 Jun 2025cs.LG cs.CLcited by 9

On the map: Mixture-of-experts → Expert routing strategies

Abstract (arXiv)

We propose Chain-of-Experts (CoE), a new Mixture-of-Experts (MoE) architecture that introduces sequential expert communication within each layer. Unlike traditional MoE models, where experts operate independently in parallel, CoE processes tokens iteratively across a chain of experts inside a layer. To support dynamic expert selection across iterations, CoE employs a dedicated router at each iteration step within a layer. This design allows tokens to re-evaluate and select different experts during each iteration, rather than being statically assigned. As a result, CoE introduces a flexible routing mechanism that increases the diversity of expert combinations and enriches the model's representational capacity. CoE demonstrates improved performance under fixed compute: on math reasoning tasks, it reduces validation loss from 1.20 to 1.12 compared to a standard MoE. Beyond performance, CoE offers a new scaling axis: depth through expert iteration, which complements conventional width/depth scaling. For example, using 2x iterations matches the performance of 3x expert selections (in width), while reducing memory usage by 17.6-42% relative to other scaling strategies. Our analysis reveals that CoE's benefits stem from its iterative residual structure and enhanced expert specialization empowered by iterative routing, which together unlock more expressive representations. Code is available at https://github.com/ZihanWang314/coe.

Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Placed in Expert routing strategies, one of 12 directions in Mixture-of-experts. Builds on 35 of its 48 references that are in the map. First posted on arXiv 23 Jun 2025.

Builds on

35 of 48 references.

Closest ancestors · 5

Same direction, newest first

  1. 2024Layerwise Recurrent Router for Mixture-of-Experts13 Aug
  2. 2024MoEUT: Mixture-of-Experts Universal Transformers25 May
  3. 2023Sparse Universal Transformer11 Oct
  4. 2022Mixture-of-Experts with Expert Choice Routing18 Feb
  5. 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsity11 Jan

Other references · 30

  1. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  2. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
  3. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
  4. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,509
  5. 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
  6. 2019ALBERT: A Lite BERT for Self-supervised Learning of Language Representationscited by 2,790
  7. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
  8. 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,917
  9. 2024Mixtral of Expertscited by 1,823
  10. 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,631
  11. 2024DeepSeekMoE: Towards Ultimate Expert Specialization in Mixture-of-Experts Language Modelscited by 867
  12. 2021Scaling Vision with Sparse Mixture of Expertscited by 747
18 more
  1. 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 735
  2. 2018Universal Transformerscited by 647
  3. 2019Deep Equilibrium Modelscited by 615
  4. 2016Adaptive Computation Time for Recurrent Neural Networkscited by 506
  5. 2019Reducing Transformer Depth on Demand with Structured Dropoutcited by 439
  6. 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approachcited by 415
  7. 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 301
  8. 2023Towards Revealing the Mystery behind Chain of Thought: A Theoretical Perspectivecited by 294
  9. 2019Depth-Adaptive Transformercited by 236
  10. 2023SOLAR 10.7B: Scaling Large Language Models with Simple yet Effective Depth Up-Scalingcited by 172
  11. 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
  12. 2024Uni-MoE: Scaling Unified Multimodal LLMs with Mixture of Expertscited by 108
  13. 2021Lessons on Parameter Sharing across Layers in Transformerscited by 85
  14. 2024Transformers Can Do Arithmetic with the Right Embeddingscited by 78
  15. 2024Skywork-MoE: A Deep Dive into Training Techniques for Mixture-of-Experts Language Modelscited by 59
  16. 2025A Little Depth Goes a Long Way: The Expressive Power of Log-Depth Transformerscited by 53
  17. 2024Let the Expert Stick to His Last: Expert-Specialized Fine-Tuning for Sparse Architectural Large Language Modelscited by 21
  18. 2024Rethinking Deep Thinking: Stable Learning of Algorithms using Lipschitz Constraintscited by 9

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 2; 2026: 7.

9 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026The Evolution of Mixture-of-Experts Architectures in Large Language Models: Routing, Topology, Load Balancing, and Expert Parallelism
  2. 2026Slicing and Dicing: Configuring Optimal Mixtures of Experts
  3. 2024Harder Tasks Need More Experts: Dynamic Routing in MoE Models
  4. 2026LAER-MoE: Load-Adaptive Expert Re-layout for Efficient Mixture-of-Experts Training
  5. 2026Share First, Route What Remains: A Unified Framework for Token-Adaptive MoE Computation
  6. 2026Holistic Scaling Laws for Optimal Mixture-of-Experts Architecture Optimization
  7. 2026IntBMoE: Integrating Block-Level Conditioning into Expert Composition for Full-Participation Mixture-of-Experts
  8. 2025Advancing MoE Efficiency: A Collaboration-Constrained Routing (C2R) Strategy for Better Expert Parallelism Design