BASE Layers: Simplifying Training of Large, Sparse Models
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Cited by 231 in Mixture-of-experts, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
We introduce a new balanced assignment of experts (BASE) layer for large language models that greatly simplifies existing high capacity sparse layers. Sparse layers can dramatically improve the efficiency of training and inference by routing each token to specialized expert modules that contain only a small fraction of the model parameters. However, it can be difficult to learn balanced routing functions that make full use of the available experts; existing approaches typically use routing heuristics or auxiliary expert-balancing loss functions. In contrast, we formulate token-to-expert allocation as a linear assignment problem, allowing an optimal assignment in which each expert receives an equal number of tokens. This optimal assignment scheme improves efficiency by guaranteeing balanced compute loads, and also simplifies training by not requiring any new hyperparameters or auxiliary losses. Code is publicly released at https://github.com/pytorch/fairseq/
Key facts. Cited by 315 papers in the map (data through 7 Oct 2026). Builds on 28 of its 32 references that are in the map. First posted on arXiv 30 Mar 2021.
Builds on
28 of 32 references.
References · 28
- 2017Attention Is All You Needcited by 59,932
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2020Language Models are Few-Shot Learnerscited by 32,199
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,266
- 2019BART: Denoising Sequence-to-Sequence Pre-training for Natural Language Generation, Translation, and Comprehensioncited by 5,874
- 2016Layer Normalizationcited by 5,579
- 2019Parameter-Efficient Transfer Learning for NLPcited by 4,195
- 2019Unsupervised Cross-lingual Representation Learning at Scalecited by 3,907
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,014
16 more
- 2015Neural Machine Translation of Rare Words with Subword Unitscited by 2,898
- 2019Megatron-LM: Training Multi-Billion Parameter Language Models Using Model Parallelismcited by 1,829
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Shardingcited by 1,601
- 2019Generating Long Sequences with Sparse Transformerscited by 1,523
- 2019Energy and Policy Considerations for Deep Learning in NLPcited by 1,242
- 2020On Layer Normalization in the Transformer Architecturecited by 906
- 2019Generalization through Memorization: Nearest Neighbor Language Modelscited by 788
- 2020Beyond English-Centric Multilingual Machine Translationcited by 559
- 2019Rigging the Lottery: Making All Tickets Winnerscited by 491
- 2020Efficient Content-Based Sparse Attention with Routing Transformerscited by 469
- 2019Simple, Scalable Adaptation for Neural Machine Translationcited by 239
- 2019Sparse Networks from Scratch: Faster Training without Losing Performancecited by 210
- 2020Nearest Neighbor Machine Translationcited by 209
- 2019Parameter Efficient Training of Deep Convolutional Neural Networks by Dynamic Sparse Reparameterizationcited by 187
- 2019Adaptively Sparse Transformerscited by 154
- 2019Large Memory Layers with Product Keyscited by 120
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Citing papers per year: 2021: 18; 2022: 47; 2023: 51; 2024: 80; 2025: 57; 2026: 62.
315 papers.
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- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,085
- 2021GLaM: Efficient Scaling of Language Models with Mixture-of-Expertscited by 890
- 2021Scaling Vision with Sparse Mixture of Expertscited by 740
- 2022Mixture-of-Experts with Expert Choice Routingcited by 611
- 20218-bit Optimizers via Block-wise Quantizationcited by 395
- 2022ST-MoE: Designing Stable and Transferable Sparse Expert Modelscited by 391
- 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 291
- 2022Unified Scaling Laws for Routed Language Modelscited by 249
- 2023From Sparse to Soft Mixtures of Expertscited by 245
- 2021Hash Layers For Large Sparse Modelscited by 236
- 2022Sparse Upcycling: Training Mixture-of-Experts from Dense Checkpointscited by 207
- 2022MegaBlocks: Efficient Sparse Training with Mixture-of-Expertscited by 204
38 more
- 2022Multimodal Contrastive Learning with LIMoE: the Language-Image Mixture of Expertscited by 202
- 2022Tutel: Adaptive Mixture-of-Experts at Scalecited by 199
- 2022BlenderBot 3: a deployed conversational agent that continually learns to responsibly engagecited by 197
- 2024A Survey on Efficient Inference for Large Language Modelscited by 197
- 2022Branch-Train-Merge: Embarrassingly Parallel Training of Expert Language Modelscited by 187
- 2024OpenMoE: An Early Effort on Open Mixture-of-Experts Language Modelscited by 185
- 2023Efficient Large Language Models: A Surveycited by 183
- 2021Efficient Large Scale Language Modeling with Mixtures of Expertscited by 175
- 2024Scaling Laws for Fine-Grained Mixture of Expertscited by 166
- 2022On the Representation Collapse of Sparse Mixture of Expertscited by 156
- 2021MoEfication: Transformer Feed-forward Layers are Mixtures of Expertscited by 149
- 2023Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuningcited by 148
- 2022A Review of Sparse Expert Models in Deep Learningcited by 147
- 2022AdaMix: Mixture-of-Adaptations for Parameter-efficient Model Tuningcited by 137
- 2021DEMix Layers: Disentangling Domains for Modular Language Modelingcited by 130
- 2024LLaMA-MoE: Building Mixture-of-Experts from LLaMA with Continual Pre-trainingcited by 122
- 2021Taming Sparsely Activated Transformer with Stochastic Expertscited by 112
- 2022Accelerating Distributed MoE Training and Inference with Linacited by 109
- 2023Some things are more CRINGE than others: Iterative Preference Optimization with the Pairwise Cringe Losscited by 108
- 2024Uni-MoE: Scaling Unified Multimodal LLMs with Mixture of Expertscited by 107
- 2024Branch-Train-MiX: Mixing Expert LLMs into a Mixture-of-Experts LLMcited by 106
- 2022Language Models that Seek for Knowledge: Modular Search & Generation for Dialogue and Prompt Completioncited by 102
- 2023Pre-gated MoE: An Algorithm-System Co-Design for Fast and Scalable Mixture-of-Expert Inferencecited by 101
- 2026Kimi K3: Open Frontier Intelligencecited by 99
- 2022StableMoE: Stable Routing Strategy for Mixture of Expertscited by 98
- 2022M3ViT: Mixture-of-Experts Vision Transformer for Efficient Multi-task Learning with Model-Accelerator Co-designcited by 97
- 2021Beyond Distillation: Task-level Mixture-of-Experts for Efficient Inferencecited by 96
- 2023Scaling Vision-Language Models with Sparse Mixture of Expertscited by 88
- 2023Soft Merging of Experts with Adaptive Routingcited by 88
- 2023Fast Inference of Mixture-of-Experts Language Models with Offloadingcited by 88
- 2024Merging Multi-Task Models via Weight-Ensembling Mixture of Expertscited by 85
- 2023Modular Deep Learningcited by 82
- 2026Conditional Memory via Scalable Lookup: A New Axis of Sparsity for Large Language Modelscited by 78
- 2024Mixtures of Experts Unlock Parameter Scaling for Deep RLcited by 75
- 2024Harder Tasks Need More Experts: Dynamic Routing in MoE Modelscited by 71
- 2022Task-Specific Expert Pruning for Sparse Mixture-of-Expertscited by 69
- 2023Conditional Adapters: Parameter-efficient Transfer Learning with Fast Inferencecited by 69
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 69
50 most cited of 315 All 315 (JSON)
- 2026Smoothing the Top-k Exposure Boundary for Sparse Mixture-of-Experts8 Oct 2026
- 2026ITC-MoE: Importance-guided Token-aware Compression for MoE Diffusion Language Models1 Oct 2026
- 2026ID Balancing: Stable Training of Extremely Sparse MoE via PID-Based Load Control30 Sep 2026
- 2026Dissecting GPU Utilization for LLM Inference on Nvidia Hopper11 Sep 2026
- 2026Quality-Constrained Routing over a Fixed Pool of Quantized Mixture-of-Experts Instances11 Sep 2026
- 2026RAPTOR: Role-Aware Private Training for Mixture-of-Experts4 Sep 2026
- 2026APEX: Adaptive Expert Prefetching for Memory-Efficient Edge MoE Inference12 Aug 2026
- 2026Riemann GeoResolver: A Non-Euclidean Attention Framework from Euclidean Resolver to Hyperbolic-Spherical Geometry11 Aug 2026
- 2026The Evolution of Mixture-of-Experts Architectures in Large Language Models: Routing, Topology, Load Balancing, and Expert Parallelism9 Aug 2026
- 2026UniMoMo: Expert Merging-Based MoE Acceleration for Large Recommendation Models9 Aug 2026
- 2026TAOT: Topology-Aware Optimal Transport for Dynamic Expert Replica Placement in MoE Training4 Aug 2026
- 2026Z-Loss Backward Geometry in Dense Output Heads and Sparse Routers31 Jul 2026
38 more
- 2026Beyond Geometric Complementarity: Coherent Overlap in Sparse Mixture-of-Experts Routing30 Jul 2026
- 2026Dynamic Parameterization Is Not Dynamic Inference28 Jul 2026
- 2026Kimi K3: Open Frontier Intelligence27 Jul 2026
- 2026Hierarchical Copula-Gumbel-Top-K Routing: Two-Sided Dependence Control for Frozen Mixture-of-Experts at Fixed Per-Token Routing Laws25 Jul 2026
- 2026AirMoE: Statistic-Augmented Over-the-Air MoE for Collaborative Intelligence18 Jul 2026
- 2026On the Design of Mixture-of-Experts for Dynamic Gaussian Splatting9 Jul 2026
- 2026TriRoute: Unified Learned Routing for Joint Adaptive Attention, Experts, and KV-Cache Allocation7 Jul 2026
- 2026FoMoE: Breaking the Full-Replica Barrier with a Federation of MoEs17 Jun 2026
- 2026SoftMoE: Soft Differentiable Routing for Mixture-of-Experts in LLMs16 Jun 2026
- 2026Conservation Laws for Modern Neural Architectures16 Jun 2026
- 2026Harnessing Routing Foresight for Micro-step-level MoE load balancing in RL Post-training10 Jun 2026
- 2026PADD: Path-Aligned Decompression Distillation for Non-Router Teacher to Guide MoE Student Learning9 Jun 2026
- 2026cMoLLM at Scale: Horizontal Scaling Laws for Mixture-of-LLMs6 Jun 2026
- 2026Sparse Subspace-to-Expert Sharing for Task-Agnostic Continual Learning5 Jun 2026
- 2026ProbMoE: Differentiable Probabilistic Routing for Mixture-of-Experts1 Jun 2026
- 2026PR2: Predictive Routing Replay for MoE-Based LLM Reinforcement Learning29 May 2026
- 2026ConMoE: Expert-Pool Consolidation via Prototype Reassignment for MoE Compression28 May 2026
- 2026A Minimal Bifurcation Model of Load Imbalance in a Softmax Mixture-of-Experts Router27 May 2026
- 2026Towards Generalization-Oriented Models for Vehicle Routing Problems with Mixture-of-Experts26 May 2026
- 2026CAMERA: Adapting to Semantic Camouflage in Unsupervised Text-Attributed Graph Fraud Detection19 May 2026
- 2026DBES: A Systematic Benchmark and Metric Suite for Evaluating Expert Specialization in Large-Scale MoEs18 May 2026
- 2026Fast Training of Mixture-of-Experts for Time Series Forecasting via Expert Loss Integration11 May 2026
- 2026When Are Experts Misrouted? Counterfactual Routing Analysis in Mixture-of-Experts Language Models8 May 2026
- 2026UniPool: A Globally Shared Expert Pool for Mixture-of-Experts7 May 2026
- 2026E = T*H/(O+B): A Dimensionless Control Parameter for Mixture-of-Experts Ecology7 May 2026
- 2026Dynamic Pondering Sparsity-aware Mixture-of-Experts Transformer for Event Stream based Visual Object Tracking7 May 2026
- 2026Toward Structural Multimodal Representations: Specialization, Selection, and Sparsification via Mixture-of-Experts5 May 2026
- 2026Beyond N-gram: Data-Aware X-GRAM Extraction for Efficient Embedding Parameter Scaling23 Apr 2026
- 2026Teacher-Guided Routing for Sparse Vision Mixture-of-Experts23 Apr 2026
- 2026Multi-Domain Learning with Global Expert Mapping20 Apr 2026
- 2026Geometric Metrics for MoE Specialization: From Fisher Information to Early Failure Detection16 Apr 2026
- 2026Generalization and Scaling Laws for Mixture-of-Experts Transformers10 Apr 2026
- 2026MoE Routing Testbed: Studying Expert Specialization and Routing Behavior at Small Scale8 Apr 2026
- 2026Three Phases of Expert Routing: How Load Balance Evolves During Mixture-of-Experts Training5 Apr 2026
- 2026Mixture-of-Experts in Remote Sensing: A Survey3 Apr 2026
- 2026Expert-Choice Routing Enables Adaptive Computation in Diffusion Language Models2 Apr 2026
- 2026Self-Routing: Parameter-Free Expert Routing from Hidden States1 Apr 2026
- 2026Enes Causal Discovery25 Mar 2026
50 newest of 315 All 315 (JSON)
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- 2022Mixture-of-Experts with Expert Choice Routingcited by 611
- 2022ST-MoE: Designing Stable and Transferable Sparse Expert Modelscited by 391
- 2024OLMoE: Open Mixture-of-Experts Language Modelscited by 291
- 2023From Sparse to Soft Mixtures of Expertscited by 245
- 2022Sparse Upcycling: Training Mixture-of-Experts from Dense Checkpointscited by 207
- 2022MegaBlocks: Efficient Sparse Training with Mixture-of-Expertscited by 204
- 2022Multimodal Contrastive Learning with LIMoE: the Language-Image Mixture of Expertscited by 202
- 2022Tutel: Adaptive Mixture-of-Experts at Scalecited by 199
- 2024OpenMoE: An Early Effort on Open Mixture-of-Experts Language Modelscited by 185
- 2021Efficient Large Scale Language Modeling with Mixtures of Expertscited by 175
- 2024Scaling Laws for Fine-Grained Mixture of Expertscited by 166
12 most cited of 216 All 216 (JSON)
- 2026ID Balancing: Stable Training of Extremely Sparse MoE via PID-Based Load Control30 Sep 2026
- 2026Quality-Constrained Routing over a Fixed Pool of Quantized Mixture-of-Experts Instances11 Sep 2026
- 2026RAPTOR: Role-Aware Private Training for Mixture-of-Experts4 Sep 2026
- 2026APEX: Adaptive Expert Prefetching for Memory-Efficient Edge MoE Inference12 Aug 2026
- 2026The Evolution of Mixture-of-Experts Architectures in Large Language Models: Routing, Topology, Load Balancing, and Expert Parallelism9 Aug 2026
- 2026UniMoMo: Expert Merging-Based MoE Acceleration for Large Recommendation Models9 Aug 2026
- 2026TAOT: Topology-Aware Optimal Transport for Dynamic Expert Replica Placement in MoE Training4 Aug 2026
- 2026Z-Loss Backward Geometry in Dense Output Heads and Sparse Routers31 Jul 2026
- 2026Beyond Geometric Complementarity: Coherent Overlap in Sparse Mixture-of-Experts Routing30 Jul 2026
- 2026Hierarchical Copula-Gumbel-Top-K Routing: Two-Sided Dependence Control for Frozen Mixture-of-Experts at Fixed Per-Token Routing Laws25 Jul 2026
- 2026AirMoE: Statistic-Augmented Over-the-Air MoE for Collaborative Intelligence18 Jul 2026
- 2026On the Design of Mixture-of-Experts for Dynamic Gaussian Splatting9 Jul 2026
12 newest of 216 All 216 (JSON)
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- 2025Expert Race: A Flexible Routing Strategy for Scaling Diffusion Transformer with Mixture of Expertscited by 13
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- 2026Expert-Choice Routing Enables Adaptive Computation in Diffusion Language Modelscited by 3
- 2025Upcycling Text-to-Image Diffusion Models for Multi-Task Capabilitiescited by 2
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- 2026ITC-MoE: Importance-guided Token-aware Compression for MoE Diffusion Language Modelscited by 0
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- 2026Expert-Choice Routing Enables Adaptive Computation in Diffusion Language Models2 Apr 2026
- 2026Universal Pansharpening Model4 Mar 2026
- 2025Expert Race: A Flexible Routing Strategy for Scaling Diffusion Transformer with Mixture of Experts20 Mar 2025
- 2025Upcycling Text-to-Image Diffusion Models for Multi-Task Capabilities14 Mar 2025
- 2024Efficient Diffusion Transformer Policies with Mixture of Expert Denoisers for Multitask Learning17 Dec 2024
- 2024Multi-student Diffusion Distillation for Better One-step Generators30 Oct 2024
- 2024Scaling Diffusion Transformers to 16 Billion Parameters16 Jul 2024
- 2024Switch Diffusion Transformer: Synergizing Denoising Tasks with Sparse Mixture-of-Experts14 Mar 2024
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- 2023Scaling Vision-Language Models with Sparse Mixture of Expertscited by 88
- 2024CuMo: Scaling Multimodal LLM with Co-Upcycled Mixture-of-Expertscited by 56
- 2023EVE: Efficient Vision-Language Pre-training with Masked Prediction and Modality-Aware MoEcited by 24
- 2024Lifelong Knowledge Editing for Vision Language Models with Low-Rank Mixture-of-Expertscited by 14
- 2023MixPHM: Redundancy-Aware Parameter-Efficient Tuning for Low-Resource Visual Question Answeringcited by 5
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- 2024Uni-MoE: Scaling Unified Multimodal LLMs with Mixture of Experts18 May 2024
- 2024CuMo: Scaling Multimodal LLM with Co-Upcycled Mixture-of-Experts9 May 2024
- 2023EVE: Efficient Vision-Language Pre-training with Masked Prediction and Modality-Aware MoE23 Aug 2023
- 2023Scaling Vision-Language Models with Sparse Mixture of Experts13 Mar 2023
- 2023MixPHM: Redundancy-Aware Parameter-Efficient Tuning for Low-Resource Visual Question Answering2 Mar 2023
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- 2024A Survey on Efficient Inference for Large Language Models22 Apr 2024
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- 2023Large Language Models are Visual Reasoning Coordinatorscited by 58
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- 2026Kimi K3: Open Frontier Intelligence27 Jul 2026
- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,085
- 20218-bit Optimizers via Block-wise Quantizationcited by 395
- 2022Unified Scaling Laws for Routed Language Modelscited by 249
- 2021Hash Layers For Large Sparse Modelscited by 236
- 2022BlenderBot 3: a deployed conversational agent that continually learns to responsibly engagecited by 197
- 2022Branch-Train-Merge: Embarrassingly Parallel Training of Expert Language Modelscited by 187
- 2023Efficient Large Language Models: A Surveycited by 183
- 2022AdaMix: Mixture-of-Adaptations for Parameter-efficient Model Tuningcited by 137
- 2021DEMix Layers: Disentangling Domains for Modular Language Modelingcited by 130
- 2022Language Models that Seek for Knowledge: Modular Search & Generation for Dialogue and Prompt Completioncited by 102
- 2023Modular Deep Learningcited by 82
- 2023Conditional Adapters: Parameter-efficient Transfer Learning with Fast Inferencecited by 69
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- 2026Dissecting GPU Utilization for LLM Inference on Nvidia Hopper11 Sep 2026
- 2026Riemann GeoResolver: A Non-Euclidean Attention Framework from Euclidean Resolver to Hyperbolic-Spherical Geometry11 Aug 2026
- 2026Dynamic Parameterization Is Not Dynamic Inference28 Jul 2026
- 2026Conservation Laws for Modern Neural Architectures16 Jun 2026
- 2026Sparse Subspace-to-Expert Sharing for Task-Agnostic Continual Learning5 Jun 2026
- 2026CAMERA: Adapting to Semantic Camouflage in Unsupervised Text-Attributed Graph Fraud Detection19 May 2026
- 2026Beyond N-gram: Data-Aware X-GRAM Extraction for Efficient Embedding Parameter Scaling23 Apr 2026
- 2026Enes Causal Discovery25 Mar 2026
- 2026Split-on-Share: Mixture of Sparse Experts for Task-Agnostic Continual Learning24 Jan 2026
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