Compute-Efficient Deep Learning: Algorithmic Trends and Opportunities
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Abstract (arXiv)
Although deep learning has made great progress in recent years, the exploding economic and environmental costs of training neural networks are becoming unsustainable. To address this problem, there has been a great deal of research on *algorithmically-efficient deep learning*, which seeks to reduce training costs not at the hardware or implementation level, but through changes in the semantics of the training program. In this paper, we present a structured and comprehensive overview of the research in this field. First, we formalize the *algorithmic speedup* problem, then we use fundamental building blocks of algorithmically efficient training to develop a taxonomy. Our taxonomy highlights commonalities of seemingly disparate methods and reveals current research gaps. Next, we present evaluation best practices to enable comprehensive, fair, and reliable comparisons of speedup techniques. To further aid research and applications, we discuss common bottlenecks in the training pipeline (illustrated via experiments) and offer taxonomic mitigation strategies for them. Finally, we highlight some unsolved research challenges and present promising future directions.
Key facts. Cited by 38 papers in the map (data through 7 Oct 2026). Builds on 238 of its 326 references that are in the map. First posted on arXiv 13 Oct 2022.
Builds on
238 of 326 references.
References · 238
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 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
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,084
- 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,082
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2016Densely Connected Convolutional Networkscited by 6,691
- 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,322
- 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
38 more
- 2017mixup: Beyond Empirical Risk Minimizationcited by 5,155
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
- 2017Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networkscited by 4,861
- 2021Zero-Shot Text-to-Image Generationcited by 4,276
- 2021On the Opportunities and Risks of Foundation Modelscited by 3,961
- 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,611
- 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,590
- 2022A ConvNet for the 2020scited by 3,545
- 2013Distributed Representations of Words and Phrases and their Compositionalitycited by 3,462
- 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
- 2022Training Compute-Optimal Large Language Modelscited by 2,927
- 2019CutMix: Regularization Strategy to Train Strong Classifiers with Localizable Featurescited by 2,875
- 2019RandAugment: Practical automated data augmentation with a reduced search spacecited by 2,261
- 2020Transformers are RNNs: Fast Autoregressive Transformers with Linear Attentioncited by 1,979
- 2017Improved Regularization of Convolutional Neural Networks with Cutoutcited by 1,623
- 2020Rethinking Attention with Performerscited by 1,584
- 2018Group Normalizationcited by 1,514
- 2017Accurate, Large Minibatch SGD: Training ImageNet in 1 Hourcited by 1,479
- 2020Linformer: Self-Attention with Linear Complexitycited by 1,462
- 2020Sharpness-Aware Minimization for Efficiently Improving Generalizationcited by 1,404
- 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,337
- 2019Energy and Policy Considerations for Deep Learning in NLPcited by 1,242
- 2021Swin Transformer V2: Scaling Up Capacity and Resolutioncited by 1,215
- 2018Averaging Weights Leads to Wider Optima and Better Generalizationcited by 1,194
- 2017Mixed Precision Trainingcited by 1,135
- 2021EfficientNetV2: Smaller Models and Faster Trainingcited by 1,127
- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,085
- 2021Scaling Vision Transformerscited by 993
- 2016Deep Networks with Stochastic Depthcited by 973
- 2020Designing Network Design Spacescited by 954
- 2018Adafactor: Adaptive Learning Rates with Sublinear Memory Costcited by 896
- 2021A Survey of Quantization Methods for Efficient Neural Network Inferencecited by 798
- 2020Efficient Transformers: A Surveycited by 784
- 2015Optimizing Neural Networks with Kronecker-factored Approximate Curvaturecited by 776
- 2018Image Transformercited by 770
- 2018AutoAugment: Learning Augmentation Policies from Datacited by 728
- 2020Long Range Arena: A Benchmark for Efficient Transformerscited by 696
50 most cited of 238 All 238 (JSON)
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