mlsanityData to 7 Oct 2026

Dense Training, Sparse Inference: Rethinking Training of Mixture-of-Experts Language Models

arXiv 2404.05567 ↗First posted 8 Apr 2024cs.LG cs.AI cs.CLcited by 41

On the map: LLM reasoning → Test-time compute and efficient thinking

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Abstract (arXiv)

Mixture-of-Experts (MoE) language models can reduce computational costs by 2-4× compared to dense models without sacrificing performance, making them more efficient in computation-bounded scenarios. However, MoE models generally require 2-4× times more parameters to achieve comparable performance to a dense model, which incurs larger GPU memory requirements and makes MoE models less efficient in I/O-bounded scenarios like autoregressive generation. In this work, we propose a hybrid dense training and sparse inference framework for MoE models (DS-MoE) which achieves strong computation and parameter efficiency by employing dense computation across all experts during training and sparse computation during inference. Our experiments on training LLMs demonstrate that our DS-MoE models are more parameter-efficient than standard sparse MoEs and are on par with dense models in terms of total parameter size and performance while being computationally cheaper (activating 30-40% of the model's parameters). Performance tests using vLLM show that our DS-MoE-6B model runs up to 1.86× faster than similar dense models like Mistral-7B, and between 1.50× and 1.71× faster than comparable MoEs, such as DeepSeekMoE-16B and Qwen1.5-MoE-A2.7B.

Key facts. Cited by 41 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 27 of its 76 references that are in the map. First posted on arXiv 8 Apr 2024.

Builds on

27 of 76 references.

References · 27

  1. 2020Scaling Laws for Neural Language Modelscited by 6,411
  2. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  3. 2016Gaussian Error Linear Units (GELUs)cited by 3,431
  4. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
  5. 2023Qwen Technical Reportcited by 3,273
  6. 2023Mistral 7Bcited by 3,065
  7. 2016Pointer Sentinel Mixture Modelscited by 2,992
  8. 2020The Pile: An 800GB Dataset of Diverse Text for Language Modelingcited by 2,346
  9. 2022GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformerscited by 1,838
  10. 2024Mixtral of Expertscited by 1,785
  11. 2017Decoupled Weight Decay Regularizationcited by 1,722
  12. 2023GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpointscited by 1,311
15 more
  1. 2023AWQ: Activation-aware Weight Quantization for LLM Compression and Accelerationcited by 1,234
  2. 2023Accelerating Large Language Model Decoding with Speculative Samplingcited by 975
  3. 2019Analyzing Multi-Head Self-Attention: Specialized Heads Do the Heavy Lifting, the Rest Can Be Prunedcited by 844
  4. 2024DeepSeekMoE: Towards Ultimate Expert Specialization in Mixture-of-Experts Language Modelscited by 834
  5. 2019Once-for-All: Train One Network and Specialize it for Efficient Deploymentcited by 778
  6. 2017Crowdsourcing Multiple Choice Science Questionscited by 742
  7. 2023PyTorch FSDP: Experiences on Scaling Fully Sharded Data Parallelcited by 641
  8. 2023Sheared LLaMA: Accelerating Language Model Pre-training via Structured Pruningcited by 408
  9. 2021MoEfication: Transformer Feed-forward Layers are Mixtures of Expertscited by 149
  10. 2023Mixture-of-Experts Meets Instruction Tuning:A Winning Combination for Large Language Modelscited by 65
  11. 2022Mixture of Attention Heads: Selecting Attention Heads Per Tokencited by 58
  12. 2023ModuleFormer: Modularity Emerges from Mixture-of-Expertscited by 17
  13. 2023Unlocking Emergent Modularity in Large Language Modelscited by 17
  14. 2021VA-RED2: Video Adaptive Redundancy Reductioncited by 15
  15. 2024Scattered Mixture-of-Experts Implementationcited by 15

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 16; 2025: 12; 2026: 13.

41 papers.

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  1. 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 291
  2. 2024A Survey on Mixture of Experts in Large Language Modelscited by 233
  3. 2024JetMoE: Reaching Llama2 Performance with 0.1M Dollarscited by 55
  4. 2024Understanding the Performance and Estimating the Cost of LLM Fine-Tuningcited by 48
  5. 2024A Survey on Inference Optimization Techniques for Mixture of Experts Modelscited by 46
  6. 2025Advancing Expert Specialization for Better MoEcited by 37
  7. 2024Mixture of Parrots: Experts improve memorization more than reasoningcited by 20
  8. 2025LoRA-Mixer: Coordinate Modular LoRA Experts Through Serial Attention Routingcited by 16
  9. 2024Monet: Mixture of Monosemantic Experts for Transformerscited by 12
  10. 2025DynMoLE: Boosting Mixture of LoRA Experts Fine-Tuning with a Hybrid Routing Mechanismcited by 10
  11. 2024Faster Language Models with Better Multi-Token Prediction Using Tensor Decompositioncited by 7
  12. 2024First Activations Matter: Training-Free Methods for Dynamic Activation in Large Language Modelscited by 6
29 more
  1. 2025Advancing MoE Efficiency: A Collaboration-Constrained Routing (C2R) Strategy for Better Expert Parallelism Designcited by 6
  2. 2024Exploring the Benefit of Activation Sparsity in Pre-trainingcited by 5
  3. 2024LaDiMo: Layer-wise Distillation Inspired MoEfiercited by 4
  4. 2026Routers Learn the Geometry of Their Experts: Geometric Coupling in Sparse Mixture-of-Expertscited by 4
  5. 2024Dynamic Activation Pitfalls in LLaMA Models: An Empirical Studycited by 3
  6. 2025Soup-of-Experts: Pretraining Specialist Models via Parameters Averagingcited by 3
  7. 2025Sparse Brains are Also Adaptive Brains: Cognitive-Load-Aware Dynamic Activation for LLMscited by 3
  8. 2026Variational Inference, Entropy, and Orthogonality: A Unified Theory of Mixture-of-Expertscited by 3
  9. 2026SoftMoE: Soft Differentiable Routing for Mixture-of-Experts in LLMscited by 3
  10. 2024TouchASP: Elastic Automatic Speech Perception that Everyone Can Touchcited by 2
  11. 2025BLaST: High Performance Inference and Pretraining using BLock Sparse Transformerscited by 2
  12. 2025RelMap: Enhancing Online Map Construction with Class-Aware Spatial Relation and Semantic Priorscited by 2
  13. 2026Routing-Free Mixture-of-Expertscited by 2
  14. 2026Does a Global Perspective Help Prune Sparse MoEs Elegantly?cited by 2
  15. 2025Meta-Continual Learning of Neural Fieldscited by 1
  16. 2025Multi-Expert Learning Framework with the State Space Model for Optical and SAR Image Registrationcited by 1
  17. 2026UniPool: A Globally Shared Expert Pool for Mixture-of-Expertscited by 1
  18. 2024MOYU: A Theoretical Study on Massive Over-activation Yielded Uplifts in LLMscited by 0
  19. 2024Efficient-Empathy: Towards Efficient and Effective Selection of Empathy Datacited by 0
  20. 2024Deep Model Merging: The Sister of Neural Network Interpretability -- A Surveycited by 0
  21. 2025Industrial brain: a human-like autonomous neuro-symbolic cognitive decision-making systemcited by 0
  22. 2025SHMoAReg: Spark Deformable Image Registration via Spatial Heterogeneous Mixture of Experts and Attention Headscited by 0
  23. 2026Geometry-Preserving Aggregation for Mixture-of-Experts Embedding Modelscited by 0
  24. 2026Universal Pansharpening Modelcited by 0
  25. 2026Xuanwu: Evolving General Multimodal Models into an Industrial-Grade Foundation for Content Ecosystemscited by 0
  26. 2026MP-ISMoE: Mixed-Precision Interactive Side Mixture-of-Experts for Efficient Transfer Learningcited by 0
  27. 2026STAR: Rethinking MoE Routing as Structure-Aware Subspace Learningcited by 0
  28. 2026LoKiFormer: Locality-aware Attention with Decoupled Knowledge Memory for Efficient Large Language Model Pretrainingcited by 0
  29. 2026OneSign: Unifying Sign Language Understanding Tasks with One Modelcited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2024Toward Inference-optimal Mixture-of-Expert Large Language Models
  2. 2023Fast Inference of Mixture-of-Experts Language Models with Offloading
  3. 2025Mixture-of-Experts Can Surpass Dense LLMs Under Strictly Equal Resource
  4. 2026Pruning and Distilling Mixture-of-Experts into Dense Language Models
  5. 2024MoNDE: Mixture of Near-Data Experts for Large-Scale Sparse Models
  6. 2025Klotski: Efficient Mixture-of-Expert Inference via Expert-Aware Multi-Batch Pipeline
  7. 2021Scalable and Efficient MoE Training for Multitask Multilingual Models
  8. 2025Efficiently Editing Mixture-of-Experts Models with Compressed Experts