mlsanityData to 7 Oct 2026

Learned Optimizers that Scale and Generalize

arXiv 1703.04813 ↗First posted 14 Mar 2017cs.LG cs.NE stat.MLcited by 109

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Abstract (arXiv)

Learning to learn has emerged as an important direction for achieving artificial intelligence. Two of the primary barriers to its adoption are an inability to scale to larger problems and a limited ability to generalize to new tasks. We introduce a learned gradient descent optimizer that generalizes well to new tasks, and which has significantly reduced memory and computation overhead. We achieve this by introducing a novel hierarchical RNN architecture, with minimal per-parameter overhead, augmented with additional architectural features that mirror the known structure of optimization tasks. We also develop a meta-training ensemble of small, diverse optimization tasks capturing common properties of loss landscapes. The optimizer learns to outperform RMSProp/ADAM on problems in this corpus. More importantly, it performs comparably or better when applied to small convolutional neural networks, despite seeing no neural networks in its meta-training set. Finally, it generalizes to train Inception V3 and ResNet V2 architectures on the ImageNet dataset for thousands of steps, optimization problems that are of a vastly different scale than those it was trained on. We release an open source implementation of the meta-training algorithm.

Key facts. Cited by 109 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Mar 2017.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 29; 2022: 19; 2023: 20; 2024: 14; 2025: 17; 2026: 10.

109 papers.

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  1. 2023Symbolic Discovery of Optimization Algorithmscited by 423
  2. 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
  3. 2022A Comprehensive Survey of Few-shot Learning: Evolution, Applications, Challenges, and Opportunitiescited by 162
  4. 2021Parameter Prediction for Unseen Deep Architecturescited by 89
  5. 2022Learning to Learn with Generative Models of Neural Network Checkpointscited by 85
  6. 2022Tutorial on amortized optimizationcited by 83
  7. 2021Gradients are Not All You Needcited by 82
  8. 2023Advances and Challenges in Meta-Learning: A Technical Reviewcited by 65
  9. 2024Graph Neural Networks for Learning Equivariant Representations of Neural Networkscited by 59
  10. 2022VeLO: Training Versatile Learned Optimizers by Scaling Upcited by 57
  11. 2021Unbiased Gradient Estimation in Unrolled Computation Graphs with Persistent Evolution Strategiescited by 52
  12. 2021Bootstrapped Meta-Learningcited by 45
38 more
  1. 2021Learned Robust PCA: A Scalable Deep Unfolding Approach for High-Dimensional Outlier Detectioncited by 34
  2. 2022Practical tradeoffs between memory, compute, and performance in learned optimizerscited by 32
  3. 2022A Closer Look at Learned Optimization: Stability, Robustness, and Inductive Biasescited by 30
  4. 2024G3R: Gradient Guided Generalizable Reconstructioncited by 29
  5. 2022Gradient-based Bi-level Optimization for Deep Learning: A Surveycited by 26
  6. 2024Universal Neural Functionalscited by 25
  7. 2021A Generalizable Approach to Learning Optimizerscited by 23
  8. 2021How to Train Your MAML to Excel in Few-Shot Classificationcited by 22
  9. 2023Improving physics-informed neural networks with meta-learned optimizationcited by 19
  10. 2022Symbolic Learning to Optimize: Towards Interpretability and Scalabilitycited by 16
  11. 2024In-context Exploration-Exploitation for Reinforcement Learningcited by 16
  12. 2022Landscape Learning for Neural Network Inversioncited by 15
  13. 2023B2Opt: Learning to Optimize Black-box Optimization with Little Budgetcited by 15
  14. 2021Benchmarking Safety Monitors for Image Classifiers with Machine Learningcited by 14
  15. 2024Can Learned Optimization Make Reinforcement Learning Less Difficult?cited by 14
  16. 2021Training Learned Optimizers with Randomly Initialized Learned Optimizerscited by 13
  17. 2021Searching for Robustness: Loss Learning for Noisy Classification Taskscited by 13
  18. 2022Transformer-Based Learned Optimizationcited by 13
  19. 2023Towards Constituting Mathematical Structures for Learning to Optimizecited by 13
  20. 2021Learn2Hop: Learned Optimization on Rough Landscapescited by 12
  21. 2023Learning to Optimize for Reinforcement Learningcited by 12
  22. 2021How to decay your learning ratecited by 11
  23. 2024Artificial Intelligence for Operations Research: Revolutionizing the Operations Research Processcited by 11
  24. 2025LIFe-GoM: Generalizable Human Rendering with Learned Iterative Feedback Over Multi-Resolution Gaussians-on-Meshcited by 11
  25. 2025QuickSplat: Fast 3D Surface Reconstruction via Learned Gaussian Initializationcited by 11
  26. 2021Meta-Learning Bidirectional Update Rulescited by 10
  27. 2021Neural Fixed-Point Acceleration for Convex Optimizationcited by 10
  28. 2023Rapid Network Adaptation: Learning to Adapt Neural Networks Using Test-Time Feedbackcited by 10
  29. 2021MetricOpt: Learning to Optimize Black-Box Evaluation Metricscited by 9
  30. 2021Learning an Explicit Hyperparameter Prediction Function Conditioned on Taskscited by 9
  31. 2022Amortized Proximal Optimizationcited by 9
  32. 2023Mnemosyne: Learning to Train Transformers with Transformerscited by 9
  33. 2023Learning to Generalize Provably in Learning to Optimizecited by 8
  34. 2024Adaptive Non-uniform Timestep Sampling for Accelerating Diffusion Model Trainingcited by 8
  35. 2022Teaching Networks to Solve Optimization Problemscited by 7
  36. 2022Meta Mirror Descent: Optimiser Learning for Fast Convergencecited by 7
  37. 2023Low-Variance Gradient Estimation in Unrolled Computation Graphs with ES-Singlecited by 7
  38. 2023Deep Model Predictive Optimizationcited by 7

50 most cited of 109 All 109 (JSON)