Efficient Large Scale Language Modeling with Mixtures of Experts
On the map: Mixture-of-experts → MoE large language models
Abstract (arXiv)
Mixture of Experts layers (MoEs) enable efficient scaling of language models through conditional computation. This paper presents a detailed empirical study of how autoregressive MoE language models scale in comparison with dense models in a wide range of settings: in- and out-of-domain language modeling, zero- and few-shot priming, and full-shot fine-tuning. With the exception of fine-tuning, we find MoEs to be substantially more compute efficient. At more modest training budgets, MoEs can match the performance of dense models using ~4 times less compute. This gap narrows at scale, but our largest MoE model (1.1T parameters) consistently outperforms a compute-equivalent dense model (6.7B parameters). Overall, this performance gap varies greatly across tasks and domains, suggesting that MoE and dense models generalize differently in ways that are worthy of future study. We make our code and models publicly available for research use.
Key facts. Cited by 175 papers in the map (data through 13 Oct 2026). Placed in MoE large language models, one of 12 directions in Mixture-of-experts. Builds on 65 of its 93 references that are in the map. First posted on arXiv 20 Dec 2021.
Builds on
65 of 93 references.
Closest ancestors · 3
Same direction, newest first
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- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Sharding30 Jun
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan
Other references · 62
- 2017Attention Is All You Needcited by 60,106
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,304
- 2014Adam: A Method for Stochastic Optimizationcited by 37,093
- 2020Language Models are Few-Shot Learnerscited by 32,320
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,549
- 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,322
- 2015Distilling the Knowledge in a Neural Networkcited by 10,180
- 2019BART: Denoising Sequence-to-Sequence Pre-training for Natural Language Generation, Translation, and Comprehensioncited by 5,884
- 2019DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lightercited by 4,281
- 2019Parameter-Efficient Transfer Learning for NLPcited by 4,213
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,053
- 2021Prefix-Tuning: Optimizing Continuous Prompts for Generationcited by 3,898
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- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,843
- 2019ALBERT: A Lite BERT for Self-supervised Learning of Language Representationscited by 2,779
- 2017A Broad-Coverage Challenge Corpus for Sentence Understanding through Inferencecited by 2,676
- 2020The Pile: An 800GB Dataset of Diverse Text for Language Modelingcited by 2,379
- 2018Deep contextualized word representationscited by 2,286
- 2019BoolQ: Exploring the Surprising Difficulty of Natural Yes/No Questionscited by 2,163
- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,133
- 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,056
- 2019Megatron-LM: Training Multi-Billion Parameter Language Models Using Model Parallelismcited by 1,851
- 2019Generating Long Sequences with Sparse Transformerscited by 1,538
- 2019fairseq: A Fast, Extensible Toolkit for Sequence Modelingcited by 1,487
- 2019Energy and Policy Considerations for Deep Learning in NLPcited by 1,248
- 2021Scaling Language Models: Methods, Analysis & Insights from Training Gophercited by 1,201
- 2017Mixed Precision Trainingcited by 1,147
- 2015Aligning Books and Movies: Towards Story-like Visual Explanations by Watching Movies and Reading Bookscited by 1,042
- 2020Exploiting Cloze Questions for Few Shot Text Classification and Natural Language Inferencecited by 935
- 2020StereoSet: Measuring stereotypical bias in pretrained language modelscited by 918
- 2016Training Deep Nets with Sublinear Memory Costcited by 840
- 2020CrowS-Pairs: A Challenge Dataset for Measuring Social Biases in Masked Language Modelscited by 705
- 2020It's Not Just Size That Matters: Small Language Models Are Also Few-Shot Learnerscited by 668
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- 2019Quantifying the Carbon Emissions of Machine Learningcited by 519
- 2016A Corpus and Evaluation Framework for Deeper Understanding of Commonsense Storiescited by 414
- 2021BASE Layers: Simplifying Training of Large, Sparse Modelscited by 320
- 2014One weird trick for parallelizing convolutional neural networkscited by 264
- 2021Sustainable AI: Environmental Implications, Challenges and Opportunitiescited by 242
- 2021Hash Layers For Large Sparse Modelscited by 237
- 2018Adaptive Input Representations for Neural Language Modelingcited by 226
- 2018A Simple Method for Commonsense Reasoningcited by 223
- 2019Identifying and Reducing Gender Bias in Word-Level Language Modelscited by 214
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