Chain-of-Experts: Unlocking the Communication Power of Mixture-of-Experts Models
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
- 2024Layerwise Recurrent Router for Mixture-of-Experts13 Aug
- 2024MoEUT: Mixture-of-Experts Universal Transformers25 May
- 2023Sparse Universal Transformer11 Oct
- 2022Mixture-of-Experts with Expert Choice Routing18 Feb
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsity11 Jan
Other references · 30
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,509
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
- 2019ALBERT: A Lite BERT for Self-supervised Learning of Language Representationscited by 2,790
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
- 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,917
- 2024Mixtral of Expertscited by 1,823
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,631
- 2024DeepSeekMoE: Towards Ultimate Expert Specialization in Mixture-of-Experts Language Modelscited by 867
- 2021Scaling Vision with Sparse Mixture of Expertscited by 747
18 more
- 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 735
- 2018Universal Transformerscited by 647
- 2019Deep Equilibrium Modelscited by 615
- 2016Adaptive Computation Time for Recurrent Neural Networkscited by 506
- 2019Reducing Transformer Depth on Demand with Structured Dropoutcited by 439
- 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approachcited by 415
- 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 301
- 2023Towards Revealing the Mystery behind Chain of Thought: A Theoretical Perspectivecited by 294
- 2019Depth-Adaptive Transformercited by 236
- 2023SOLAR 10.7B: Scaling Large Language Models with Simple yet Effective Depth Up-Scalingcited by 172
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
- 2024Uni-MoE: Scaling Unified Multimodal LLMs with Mixture of Expertscited by 108
- 2021Lessons on Parameter Sharing across Layers in Transformerscited by 85
- 2024Transformers Can Do Arithmetic with the Right Embeddingscited by 78
- 2024Skywork-MoE: A Deep Dive into Training Techniques for Mixture-of-Experts Language Modelscited by 59
- 2025A Little Depth Goes a Long Way: The Expressive Power of Log-Depth Transformerscited by 53
- 2024Let the Expert Stick to His Last: Expert-Specialized Fine-Tuning for Sparse Architectural Large Language Modelscited by 21
- 2024Rethinking Deep Thinking: Stable Learning of Algorithms using Lipschitz Constraintscited by 9
Built on by
Citing papers per year: 2025: 2; 2026: 7.
9 papers.
- 2025Unbiased Gradient Low-Rank Projectioncited by 7
- 2026DAG-MoE: From Simple Mixture to Structural Aggregation in Mixture-of-Expertscited by 3
- 2026FlashLoop: Fast and Memory-Efficient Looped Transformers via Lazy Updatescited by 2
- 2026SDG-MoE: Signed Debate Graph Mixture-of-Expertscited by 1
- 2025Mixture of Raytraced Expertscited by 0
- 2026DBES: A Systematic Benchmark and Metric Suite for Evaluating Expert Specialization in Large-Scale MoEscited by 0
- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Expertscited by 0
- 2026DeepThink: A Conceptual Model for Knowledge-Addressable Recurrent Language Modelingcited by 0
- 2026Chain Dimension Scaling: Communication-Efficient Loop-Style Scaling for Industrial Short-Video Rankingcited by 0
- 2026Chain Dimension Scaling: Communication-Efficient Loop-Style Scaling for Industrial Short-Video Ranking12 Oct 2026
- 2026DeepThink: A Conceptual Model for Knowledge-Addressable Recurrent Language Modeling12 Oct 2026
- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Experts1 Oct 2026
- 2026FlashLoop: Fast and Memory-Efficient Looped Transformers via Lazy Updates24 Sep 2026
- 2026DAG-MoE: From Simple Mixture to Structural Aggregation in Mixture-of-Experts31 May 2026
- 2026DBES: A Systematic Benchmark and Metric Suite for Evaluating Expert Specialization in Large-Scale MoEs18 May 2026
- 2026SDG-MoE: Signed Debate Graph Mixture-of-Experts8 May 2026
- 2025Unbiased Gradient Low-Rank Projection20 Oct 2025
- 2025Mixture of Raytraced Experts16 Jul 2025
Similar, not cited
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- 2024Harder Tasks Need More Experts: Dynamic Routing in MoE Models
- 2026LAER-MoE: Load-Adaptive Expert Re-layout for Efficient Mixture-of-Experts Training
- 2026Share First, Route What Remains: A Unified Framework for Token-Adaptive MoE Computation
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- 2026IntBMoE: Integrating Block-Level Conditioning into Expert Composition for Full-Participation Mixture-of-Experts
- 2025Advancing MoE Efficiency: A Collaboration-Constrained Routing (C2R) Strategy for Better Expert Parallelism Design