mlsanityData to 7 Oct 2026

Descending through a Crowded Valley - Benchmarking Deep Learning Optimizers

arXiv 2007.01547 ↗First posted 3 Jul 2020cs.LG stat.MLcited by 118

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Abstract (arXiv)

Choosing the optimizer is considered to be among the most crucial design decisions in deep learning, and it is not an easy one. The growing literature now lists hundreds of optimization methods. In the absence of clear theoretical guidance and conclusive empirical evidence, the decision is often made based on anecdotes. In this work, we aim to replace these anecdotes, if not with a conclusive ranking, then at least with evidence-backed heuristics. To do so, we perform an extensive, standardized benchmark of fifteen particularly popular deep learning optimizers while giving a concise overview of the wide range of possible choices. Analyzing more than 50,000 individual runs, we contribute the following three points: (i) Optimizer performance varies greatly across tasks. (ii) We observe that evaluating multiple optimizers with default parameters works approximately as well as tuning the hyperparameters of a single, fixed optimizer. (iii) While we cannot discern an optimization method clearly dominating across all tested tasks, we identify a significantly reduced subset of specific optimizers and parameter choices that generally lead to competitive results in our experiments: Adam remains a strong contender, with newer methods failing to significantly and consistently outperform it. Our open-sourced results are available as challenging and well-tuned baselines for more meaningful evaluations of novel optimization methods without requiring any further computational efforts.

Key facts. Cited by 118 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Jul 2020.

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Citing papers per year: 2021: 19; 2022: 28; 2023: 22; 2024: 16; 2025: 16; 2026: 17.

118 papers.

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  1. 2024Heavy-Tailed Class Imbalance and Why Adam Outperforms Gradient Descent on Language Modelscited by 78
  2. 2021Stochastic Training is Not Necessary for Generalizationcited by 63
  3. 2022VeLO: Training Versatile Learned Optimizers by Scaling Upcited by 57
  4. 2021Noether's Learning Dynamics: Role of Symmetry Breaking in Neural Networkscited by 47
  5. 2021Inverse-Dirichlet Weighting Enables Reliable Training of Physics Informed Neural Networkscited by 43
  6. 2023No Train No Gain: Revisiting Efficient Training Algorithms For Transformer-based Language Modelscited by 41
  7. 2024Deconstructing What Makes a Good Optimizer for Language Modelscited by 40
  8. 2022Compute-Efficient Deep Learning: Algorithmic Trends and Opportunitiescited by 38
  9. 2025Straight to Zero: Why Linearly Decaying the Learning Rate to Zero Works Best for LLMscited by 34
  10. 2022Practical tradeoffs between memory, compute, and performance in learned optimizerscited by 32
  11. 2022A Closer Look at Learned Optimization: Stability, Robustness, and Inductive Biasescited by 30
  12. 2025Accelerating Neural Network Training: An Analysis of the AlgoPerf Competitioncited by 30
38 more
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  2. 2021Adaptivity without Compromise: A Momentumized, Adaptive, Dual Averaged Gradient Method for Stochastic Optimizationcited by 27
  3. 2022Benchopt: Reproducible, efficient and collaborative optimization benchmarkscited by 27
  4. 2023Model scale versus domain knowledge in statistical forecasting of chaotic systemscited by 27
  5. 2021Tensor Normal Training for Deep Learning Modelscited by 24
  6. 2023MoMo: Momentum Models for Adaptive Learning Ratescited by 24
  7. 2021Ranger21: a synergistic deep learning optimizercited by 21
  8. 2021A Large Batch Optimizer Reality Check: Traditional, Generic Optimizers Suffice Across Batch Sizescited by 20
  9. 2023Fantastic Gains and Where to Find Them: On the Existence and Prospect of General Knowledge Transfer between Any Pretrained Modelcited by 19
  10. 2022The worst of both worlds: A comparative analysis of errors in learning from data in psychology and machine learningcited by 17
  11. 2021ViViT: Curvature access through the generalized Gauss-Newton's low-rank structurecited by 16
  12. 2025What Really Matters in Matrix-Whitening Optimizers?cited by 15
  13. 2023Automatic Gradient Descent: Deep Learning without Hyperparameterscited by 14
  14. 2023Butterfly Effects of SGD Noise: Error Amplification in Behavior Cloning and Autoregressioncited by 14
  15. 2023Learning Language-Specific Layers for Multilingual Machine Translationcited by 13
  16. 2023REFORMS: Reporting Standards for Machine Learning Based Sciencecited by 13
  17. 2025Fishers for Free? Approximating the Fisher Information Matrix by Recycling the Squared Gradient Accumulatorcited by 13
  18. 2022Optimization with Access to Auxiliary Informationcited by 12
  19. 2022Modeling the Machine Learning Multiversecited by 11
  20. 2021Meta-Learning Bidirectional Update Rulescited by 10
  21. 2022AdaTerm: Adaptive T-Distribution Estimated Robust Moments for Noise-Robust Stochastic Gradient Optimizationcited by 10
  22. 2022Benchmarking Deep AUROC Optimization: Loss Functions and Algorithmic Choicescited by 10
  23. 2024An Adaptive Stochastic Gradient Method with Non-negative Gauss-Newton Stepsizescited by 10
  24. 2024Neural topology optimization: the good, the bad, and the uglycited by 9
  25. 2026Learning Rate Matters: Vanilla LoRA May Suffice for LLM Fine-tuningcited by 9
  26. 2022A Mini-Block Fisher Method for Deep Neural Networkscited by 8
  27. 2022Adaptive Gradient Methods with Local Guaranteescited by 8
  28. 2023Nystrom Method for Accurate and Scalable Implicit Differentiationcited by 8
  29. 2021Provable Convergence of Nesterov's Accelerated Gradient Method for Over-Parameterized Neural Networkscited by 7
  30. 2024Characterizing Dynamical Stability of Stochastic Gradient Descent in Overparameterized Learningcited by 7
  31. 2021Rethinking Adam: A Twofold Exponential Moving Average Approachcited by 6
  32. 2021Personalized Benchmarking with the Ludwig Benchmarking Toolkitcited by 6
  33. 2022DeepCreativity: Measuring Creativity with Deep Learning Techniquescited by 6
  34. 2023On the Disconnect Between Theory and Practice of Neural Networks: Limits of the NTK Perspectivecited by 6
  35. 2024MADA: Meta-Adaptive Optimizers through hyper-gradient Descentcited by 6
  36. 2021Exponential escape efficiency of SGD from sharp minima in non-stationary regimecited by 5
  37. 2022Non-Autoregressive Neural Machine Translation: A Call for Claritycited by 5
  38. 2022Fast Benchmarking of Accuracy vs. Training Time with Cyclic Learning Ratescited by 5

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