mlsanityData to 7 Oct 2026

Sparse MoE as the New Dropout: Scaling Dense and Self-Slimmable Transformers

arXiv 2303.01610 ↗First posted 2 Mar 2023cs.LGcited by 59

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

Abstract (arXiv)

Despite their remarkable achievement, gigantic transformers encounter significant drawbacks, including exorbitant computational and memory footprints during training, as well as severe collapse evidenced by a high degree of parameter redundancy. Sparsely-activated Mixture-of-Experts (SMoEs) have shown promise to mitigate the issue of training efficiency, yet they are prone to (1) redundant experts due to representational collapse; and (2) poor expert scalability for inference and downstream fine-tuning, primarily due to overfitting of the learned routing policy to the number of activated experts during training. As recent research efforts are predominantly focused on improving routing policies to encourage expert specializations, this work focuses on exploring the overlooked scalability bottleneck of SMoEs and leveraging it to effectively scale dense transformers. To this end, we propose a new plug-and-play training framework, SMoE-Dropout, to enable scaling transformers to better accuracy in their full capacity without collapse. Specifically, SMoE-Dropout consists of a randomly initialized and fixed router network to activate experts and gradually increases the activated expert number as training progresses over time. Transformers trained by SMoE-Dropout naturally exhibit a self-slimmable property subject to resource availability, offering smooth and consistent performance boosts with an increase in activated experts during inference or fine-tuning. Our extensive experiments demonstrate the superior performance and substantial computation savings of SMoE-Dropout, compared to dense training baselines with equivalent parameter counts. In particular, our trained BERT outperforms its densely trained counterpart with consistent improvements of {1.03%, 0.78%, 1.09%} on challenging reasoning tasks {ASDiv-A, MAWPS, SVAMP}, respectively.

Key facts. Cited by 59 papers in the map (data through 7 Oct 2026). Placed in Expert routing strategies, one of 12 directions in Mixture-of-experts. Builds on 77 of its 99 references that are in the map. First posted on arXiv 2 Mar 2023.

Builds on

77 of 99 references.

Closest ancestors · 4

Same direction, newest first

  1. 2022On the Representation Collapse of Sparse Mixture of Experts20 Apr
  2. 2022Mixture-of-Experts with Expert Choice Routing18 Feb
  3. 2021Taming Sparsely Activated Transformer with Stochastic Experts8 Oct
  4. 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsity11 Jan

Other references · 73

  1. 2017Attention Is All You Needcited by 59,932
  2. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
  3. 2020Language Models are Few-Shot Learnerscited by 32,199
  4. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
  5. 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
  6. 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,266
  7. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  8. 2020Scaling Laws for Neural Language Modelscited by 6,411
  9. 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
  10. 2018GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understandingcited by 4,854
  11. 2020Training data-efficient image transformers & distillation through attentioncited by 4,560
  12. 2018HotpotQA: A Dataset for Diverse, Explainable Multi-hop Question Answeringcited by 3,686
38 more
  1. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
  2. 2019XLNet: Generalized Autoregressive Pretraining for Language Understandingcited by 2,801
  3. 2019Transformer-XL: Attentive Language Models Beyond a Fixed-Length Contextcited by 1,830
  4. 2018CommonsenseQA: A Question Answering Challenge Targeting Commonsense Knowledgecited by 1,793
  5. 2017Improved Regularization of Convolutional Neural Networks with Cutoutcited by 1,623
  6. 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,601
  7. 2020Transformer Feed-Forward Layers Are Key-Value Memoriescited by 1,307
  8. 2022Measuring and Narrowing the Compositionality Gap in Language Modelscited by 1,054
  9. 2015Aligning Books and Movies: Towards Story-like Visual Explanations by Watching Movies and Reading Bookscited by 1,041
  10. 2021Are NLP Models really able to Solve Simple Math Word Problems?cited by 861
  11. 2019Are Sixteen Heads Really Better than One?cited by 803
  12. 2018Image Transformercited by 770
  13. 2019On the Variance of the Adaptive Learning Rate and Beyondcited by 763
  14. 2021Scaling Vision with Sparse Mixture of Expertscited by 740
  15. 2021Knowledge Neurons in Pretrained Transformerscited by 590
  16. 2015Variational Dropout and the Local Reparameterization Trickcited by 489
  17. 2021BASE Layers: Simplifying Training of Large, Sparse Modelscited by 315
  18. 2021A Diverse Corpus for Evaluating and Developing English Math Word Problem Solverscited by 314
  19. 2013Learning Factored Representations in a Deep Mixture of Expertscited by 275
  20. 2019CondConv: Conditionally Parameterized Convolutions for Efficient Inferencecited by 273
  21. 2018DropBlock: A regularization method for convolutional networkscited by 261
  22. 2022Unified Scaling Laws for Routed Language Modelscited by 249
  23. 2021Hash Layers For Large Sparse Modelscited by 236
  24. 2017Concrete Dropoutcited by 227
  25. 2014Efficient Object Localization Using Convolutional Networkscited by 226
  26. 2020Understanding the Difficulty of Training Transformerscited by 210
  27. 2022DeepNet: Scaling Transformers to 1,000 Layerscited by 176
  28. 2015A Theoretically Grounded Application of Dropout in Recurrent Neural Networkscited by 161
  29. 2019End-to-End Open-Domain Question Answering with BERTserinicited by 152
  30. 2021DSelect-k: Differentiable Selection in the Mixture of Experts with Applications to Multi-Task Learningcited by 114
  31. 2020End-to-End Object Detection with Adaptive Clustering Transformercited by 109
  32. 2020Compressing Large-Scale Transformer-Based Models: A Case Study on BERTcited by 95
  33. 2020Accelerating Training of Transformer-Based Language Models with Progressive Layer Droppingcited by 93
  34. 2022Adaptive Gradient Methods at the Edge of Stabilitycited by 88
  35. 2022Task-Specific Expert Pruning for Sparse Mixture-of-Expertscited by 69
  36. 2017Hard Mixtures of Experts for Large Scale Weakly Supervised Visioncited by 67
  37. 2019Cognitive Graph for Multi-Hop Reading Comprehension at Scalecited by 65
  38. 2016Network of Experts for Large-Scale Image Categorizationcited by 54

50 most cited of 73 All 73 (JSON)

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 13; 2024: 21; 2025: 14; 2026: 11.

59 papers.

Sort:

By area:

  1. 2023CacheGen: KV Cache Compression and Streaming for Fast Large Language Model Servingcited by 199
  2. 2024A Survey on Efficient Inference for Large Language Modelscited by 197
  3. 2023Merge, Then Compress: Demystify Efficient SMoE with Hints from Its Routing Policycited by 104
  4. 2024Higher Layers Need More LoRA Expertscited by 101
  5. 2024Flextron: Many-in-One Flexible Large Language Modelcited by 42
  6. 2025Advancing Expert Specialization for Better MoEcited by 37
  7. 2024Q-GaLore: Quantized GaLore with INT4 Projection and Layer-Adaptive Low-Rank Gradientscited by 36
  8. 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
  9. 2023SG-Former: Self-guided Transformer with Evolving Token Reallocationcited by 32
  10. 2023SiRA: Sparse Mixture of Low Rank Adaptationcited by 32
  11. 2023Statistical Perspective of Top-K Sparse Softmax Gating Mixture of Expertscited by 28
  12. 2023Outline, Then Details: Syntactically Guided Coarse-To-Fine Code Generationcited by 27
38 more
  1. 2023Enhancing NeRF akin to Enhancing LLMs: Generalizable NeRF Transformer with Mixture-of-View-Expertscited by 27
  2. 2024XMoE: Sparse Models with Fine-grained and Adaptive Expert Selectioncited by 27
  3. 2023The Efficiency Spectrum of Large Language Models: An Algorithmic Surveycited by 25
  4. 2024Towards Efficient Mixture of Experts: A Holistic Study of Compression Techniquescited by 24
  5. 2024CompeteSMoE -- Effective Training of Sparse Mixture of Experts via Competitioncited by 23
  6. 2024Lancet: Accelerating Mixture-of-Experts Training via Whole Graph Computation-Communication Overlappingcited by 22
  7. 2024Mixture of Low-rank Experts for Transferable AI-Generated Image Detectioncited by 21
  8. 2024Layerwise Recurrent Router for Mixture-of-Expertscited by 21
  9. 2023Instant Soup: Cheap Pruning Ensembles in A Single Pass Can Draw Lottery Tickets from Large Modelscited by 20
  10. 2025Finding Fantastic Experts in MoEs: A Unified Study for Expert Dropping Strategies and Observationscited by 19
  11. 2023From Google Gemini to OpenAI Q* (Q-Star): A Survey of Reshaping the Generative Artificial Intelligence (AI) Research Landscapecited by 18
  12. 2023Adaptive Gating in Mixture-of-Experts based Language Modelscited by 16
  13. 2025Hypergraph Vision Transformers: Images are More than Nodes, More than Edgescited by 16
  14. 2024Tuning-Free Accountable Intervention for LLM Deployment -- A Metacognitive Approachcited by 11
  15. 2023Are Large Kernels Better Teachers than Transformers for ConvNets?cited by 8
  16. 2024MLAE: Masked LoRA Experts for Visual Parameter-Efficient Fine-Tuningcited by 6
  17. 2024Exploring the Benefit of Activation Sparsity in Pre-trainingcited by 5
  18. 2025Adaptive LoRA Experts Allocation and Selection for Federated Fine-Tuningcited by 5
  19. 2024Block Selective Reprogramming for On-device Training of Vision Transformerscited by 4
  20. 2024On the Role of Discrete Representation in Sparse Mixture of Expertscited by 4
  21. 2024Investigating Mixture of Experts in Dense Retrievalcited by 4
  22. 2025CAMEx: Curvature-aware Merging of Expertscited by 4
  23. 2025Improving Routing in Sparse Mixture of Experts with Graph of Tokenscited by 4
  24. 2024SimSMoE: Solving Representational Collapse via Similarity Measurecited by 3
  25. 2025Exploiting Mixture-of-Experts Redundancy Unlocks Multimodal Generative Abilitiescited by 3
  26. 2025Mixture-of-Clustered-Experts: Advancing Expert Specialization and Generalization in Instruction Tuningcited by 3
  27. 2025Modeling Expert Interactions in Sparse Mixture of Experts via Graph Structurescited by 3
  28. 2026SD-MoE: Spectral Decomposition for Effective Expert Specializationcited by 3
  29. 2026Self-Routing: Parameter-Free Expert Routing from Hidden Statescited by 3
  30. 2023Graph Ladling: Shockingly Simple Parallel GNN Training without Intermediate Communicationcited by 2
  31. 2024More Experts Than Galaxies: Conditionally-overlapping Experts With Biologically-Inspired Fixed Routingcited by 2
  32. 2024Learnable Sparse Customization in Heterogeneous Edge Computingcited by 2
  33. 2025Untangling Component Imbalance in Hybrid Linear Attention Conversion Methodscited by 2
  34. 2025Mixture of Experts Approaches in Dense Retrieval Taskscited by 2
  35. 2025FLEX-MoE: Federated Mixture-of-Experts with Load-balanced Expert Assignment for Edge Computingcited by 2
  36. 2026Routing Absorption in Sparse Attention: Why Random Gates Are Hard to Beatcited by 2
  37. 2025Rethinking Sparse Mixture of Experts from a Unified Perspectivecited by 1
  38. 2025MoE-Prism: Disentangling Monolithic Experts for Elastic MoE Services via Model-System Co-Designscited by 1

50 most cited of 59 All 59 (JSON)

Similar, not cited

Close in wording, no citation either way

  1. 2026DECO: Sparse Mixture-of-Experts with Dense-Comparable Performance on End-Side Devices
  2. 2026Generalization and Scaling Laws for Mixture-of-Experts Transformers
  3. 2026Dense vs Sparse Pretraining at Tiny Scale: Active-Parameter vs Total-Parameter Matching
  4. 2026SMELT: Scaling Laws for Compute-Matched MoE Looped Transformers
  5. 2025Dense Backpropagation Improves Training for Sparse Mixture-of-Experts
  6. 2026Synergistic Intra- and Cross-Layer Regularization Losses for MoE Expert Specialization
  7. 2024Mixture of A Million Experts
  8. 2025Selective Sinkhorn Routing for Improved Sparse Mixture of Experts