mlsanityData to 7 Oct 2026

Cross-token Modeling with Conditional Computation

arXiv 2109.02008 ↗First posted 5 Sep 2021cs.LG cs.AI cs.CVcited by 17

On the map: Mixture-of-experts → Vision mixture-of-experts

Abstract (arXiv)

Mixture-of-Experts (MoE), a conditional computation architecture, achieved promising performance by scaling local module (i.e. feed-forward network) of transformer. However, scaling the cross-token module (i.e. self-attention) is challenging due to the unstable training. This work proposes Sparse-MLP, an all-MLP model which applies sparsely-activated MLPs to cross-token modeling. Specifically, in each Sparse block of our all-MLP model, we apply two stages of MoE layers: one with MLP experts mixing information within channels along image patch dimension, the other with MLP experts mixing information within patches along the channel dimension. In addition, by proposing importance-score routing strategy for MoE and redesigning the image representation shape, we further improve our model's computational efficiency. Experimentally, we are more computation-efficient than Vision Transformers with comparable accuracy. Also, our models can outperform MLP-Mixer by 2.5% on ImageNet Top-1 accuracy with fewer parameters and computational cost. On downstream tasks, i.e. Cifar10 and Cifar100, our models can still achieve better performance than baselines.

Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Placed in Vision mixture-of-experts, one of 12 directions in Mixture-of-experts. Builds on 14 of its 17 references that are in the map. First posted on arXiv 5 Sep 2021.

Builds on

14 of 17 references.

Closest ancestors · 2

Same direction, newest first

  1. 2021Go Wider Instead of Deeper25 Jul
  2. 2021Scaling Vision with Sparse Mixture of Experts10 Jun

Other references · 12

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
  3. 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
  4. 2014ImageNet Large Scale Visual Recognition Challengecited by 8,441
  5. 2020Training data-efficient image transformers & distillation through attentioncited by 4,560
  6. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
  7. 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,014
  8. 2021An Empirical Study of Training Self-Supervised Vision Transformerscited by 1,610
  9. 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,601
  10. 2021MLP-Mixer: An all-MLP Architecture for Visioncited by 1,441
  11. 2021Pay Attention to MLPscited by 367
  12. 2021Vision Permutator: A Permutable MLP-Like Architecture for Visual Recognitioncited by 103

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 6; 2024: 6; 2025: 2; 2026: 1.

17 papers.

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  1. 2022Multimodal Contrastive Learning with LIMoE: the Language-Image Mixture of Expertscited by 202
  2. 2024OpenMoE: An Early Effort on Open Mixture-of-Experts Language Modelscited by 185
  3. 2023Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuningcited by 148
  4. 2022Plex: Towards Reliability using Pretrained Large Model Extensionscited by 102
  5. 2023Scaling Vision-Language Models with Sparse Mixture of Expertscited by 88
  6. 2023To Repeat or Not To Repeat: Insights from Scaling LLM under Token-Crisiscited by 88
  7. 2024Flex-MoE: Modeling Arbitrary Modality Combination via the Flexible Mixture-of-Expertscited by 69
  8. 2023Mixture-of-Experts Meets Instruction Tuning:A Winning Combination for Large Language Modelscited by 65
  9. 2023ZoomNeXt: A Unified Collaborative Pyramid Network for Camouflaged Object Detectioncited by 48
  10. 2024CATS: Contextually-Aware Thresholding for Sparsity in Large Language Modelscited by 41
  11. 2024MoE-FFD: Mixture of Experts for Generalized and Parameter-Efficient Face Forgery Detectioncited by 27
  12. 2024Mixture of Experts in Image Classification: What's the Sweet Spot?cited by 11
5 more
  1. 2023Towards More Unified In-context Visual Understandingcited by 10
  2. 2024Mastering Text, Code and Math Simultaneously via Fusing Highly Specialized Language Modelscited by 7
  3. 2025Fair-MoE: Fairness-Oriented Mixture of Experts in Vision-Language Modelscited by 6
  4. 2025Equipping Vision Foundation Model with Mixture of Experts for Out-of-Distribution Detectioncited by 5
  5. 2026Sparsity is Combinatorial Depth: Quantifying MoE Expressivity via Tropical Geometrycited by 3

Similar, not cited

Close in wording, no citation either way

  1. 2025Efficient Data Driven Mixture-of-Expert Extraction from Trained Networks
  2. 2023From Sparse to Soft Mixtures of Experts
  3. 2026The Rise of Sparse Mixture-of-Experts: A Survey from Algorithmic Foundations to Decentralized Architectures and Vertical Domain Applications
  4. 2023Mobile V-MoEs: Scaling Down Vision Transformers via Sparse Mixture-of-Experts
  5. 2024Routers in Vision Mixture of Experts: An Empirical Study
  6. 2023Mixture of Tokens: Continuous MoE through Cross-Example Aggregation
  7. 2025Sparse Mixture-of-Experts for Multi-Channel Imaging: Are All Channel Interactions Required?
  8. 2024A Provably Effective Method for Pruning Experts in Fine-tuned Sparse Mixture-of-Experts