Tasks, stability, architecture, and compute: Training more effective learned optimizers, and using them to train themselves
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Abstract (arXiv)
Much as replacing hand-designed features with learned functions has revolutionized how we solve perceptual tasks, we believe learned algorithms will transform how we train models. In this work we focus on general-purpose learned optimizers capable of training a wide variety of problems with no user-specified hyperparameters. We introduce a new, neural network parameterized, hierarchical optimizer with access to additional features such as validation loss to enable automatic regularization. Most learned optimizers have been trained on only a single task, or a small number of tasks. We train our optimizers on thousands of tasks, making use of orders of magnitude more compute, resulting in optimizers that generalize better to unseen tasks. The learned optimizers not only perform well, but learn behaviors that are distinct from existing first order optimizers. For instance, they generate update steps that have implicit regularization and adapt as the problem hyperparameters (e.g. batch size) or architecture (e.g. neural network width) change. Finally, these learned optimizers show evidence of being useful for out of distribution tasks such as training themselves from scratch.
Key facts. Cited by 57 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Sep 2020.
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Citing papers per year: 2021: 10; 2022: 12; 2023: 12; 2024: 9; 2025: 8; 2026: 6.
57 papers.
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- 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
- 2022General-Purpose In-Context Learning by Meta-Learning Transformerscited by 102
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2023Advances and Challenges in Meta-Learning: A Technical Reviewcited by 65
- 2024Graph Neural Networks for Learning Equivariant Representations of Neural Networkscited by 59
- 2022VeLO: Training Versatile Learned Optimizers by Scaling Upcited by 57
- 2023Prompt Engineering a Prompt Engineercited by 53
- 2021Unbiased Gradient Estimation in Unrolled Computation Graphs with Persistent Evolution Strategiescited by 52
- 2022Discovering Evolution Strategies via Meta-Black-Box Optimizationcited by 44
- 2024Data Selection via Optimal Control for Language Modelscited by 38
- 2022Automated Dynamic Algorithm Configurationcited by 37
- 2023Discovering Attention-Based Genetic Algorithms via Meta-Black-Box Optimizationcited by 33
38 more
- 2022Practical tradeoffs between memory, compute, and performance in learned optimizerscited by 32
- 2022A Closer Look at Learned Optimization: Stability, Robustness, and Inductive Biasescited by 30
- 2021A Generalizable Approach to Learning Optimizerscited by 23
- 2024Can Learned Optimization Make Reinforcement Learning Less Difficult?cited by 14
- 2021Training Learned Optimizers with Randomly Initialized Learned Optimizerscited by 13
- 2021Meta Learning Black-Box Population-Based Optimizerscited by 13
- 2022Transformer-Based Learned Optimizationcited by 13
- 2023Towards Constituting Mathematical Structures for Learning to Optimizecited by 13
- 2021Learn2Hop: Learned Optimization on Rough Landscapescited by 12
- 2023Learning to Optimize for Reinforcement Learningcited by 12
- 2021Meta-Learning Bidirectional Update Rulescited by 10
- 2022A Simple Guard for Learned Optimizerscited by 9
- 2023Mnemosyne: Learning to Train Transformers with Transformerscited by 9
- 2022A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithmscited by 8
- 2025Vintix: Action Model via In-Context Reinforcement Learningcited by 8
- 2023Low-Variance Gradient Estimation in Unrolled Computation Graphs with ES-Singlecited by 7
- 2023Deep Model Predictive Optimizationcited by 7
- 2024MADA: Meta-Adaptive Optimizers through hyper-gradient Descentcited by 6
- 2021Memory Augmented Optimizers for Deep Learningcited by 5
- 2022Learning to Optimize with Dynamic Mode Decompositioncited by 5
- 2024MetaOptimize: A Framework for Optimizing Step Sizes and Other Meta-parameterscited by 5
- 2024Moco: A Learnable Meta Optimizer for Combinatorial Optimizationcited by 5
- 2025How Should We Meta-Learn Reinforcement Learning Algorithms?cited by 5
- 2025Celo: Training Versatile Learned Optimizers on a Compute Dietcited by 4
- 2022Learning to Optimize Quasi-Newton Methodscited by 3
- 2022Empirical Study on Optimizer Selection for Out-of-Distribution Generalizationcited by 3
- 2024Narrowing the Focus: Learned Optimizers for Pretrained Modelscited by 3
- 2025Vision-Centric Activation and Coordination for Multimodal Large Language Modelscited by 3
- 2023Meta-learning Optimizers for Communication-Efficient Learningcited by 2
- 2021Efficient Meta Subspace Optimizationcited by 1
- 2023Generalisable Agents for Neural Network Optimisationcited by 1
- 2026Celo2: Towards Learned Optimization Free Lunchcited by 1
- 2026Learn2Splat: Extending the Horizon of Learned 3DGS Optimizationcited by 1
- 2023HUB: Guiding Learned Optimizers with Continuous Prompt Tuningcited by 0
- 2023Investigation into the Training Dynamics of Learned Optimizerscited by 0
- 2024Dynamic Memory Based Adaptive Optimizationcited by 0
- 2024Implicit Neural Image Field for Biological Microscopy Image Compressioncited by 0
- 2025Meta-Sparsity: Learning Optimal Sparse Structures in Multi-task Networks through Meta-learningcited by 0
50 most cited of 57 All 57 (JSON)
- 2026Efficient Long-Horizon Learning for Learned Optimization7 Jul 2026
- 2026FlowBender: Feedback-Aware Training for Self-Correcting Conditional Flows18 Jun 2026
- 2026Learn2Splat: Extending the Horizon of Learned 3DGS Optimization15 May 2026
- 2026HERCULES: Hardware-Efficient, Robust, Continual Learning Neural Architecture Search3 May 2026
- 2026Celo2: Towards Learned Optimization Free Lunch22 Feb 2026
- 2026POP: Prior-Fitted First-Order Optimization Policies17 Feb 2026
- 2025Vision-Centric Activation and Coordination for Multimodal Large Language Models16 Oct 2025
- 2025Learning Regularizers: Learning Optimizers that can Regularize10 Oct 2025
- 2025L-SR1: Learned Symmetric-Rank-One Preconditioning17 Aug 2025
- 2025How Should We Meta-Learn Reinforcement Learning Algorithms?23 Jul 2025
- 2025Phoeni6: a Systematic Approach for Evaluating the Energy Consumption of Neural Networks25 Feb 2025
- 2025Vintix: Action Model via In-Context Reinforcement Learning31 Jan 2025
38 more
- 2025Celo: Training Versatile Learned Optimizers on a Compute Diet22 Jan 2025
- 2025Meta-Sparsity: Learning Optimal Sparse Structures in Multi-task Networks through Meta-learning21 Jan 2025
- 2024Data Selection via Optimal Control for Language Models9 Oct 2024
- 2024Narrowing the Focus: Learned Optimizers for Pretrained Models17 Aug 2024
- 2024Can Learned Optimization Make Reinforcement Learning Less Difficult?9 Jul 2024
- 2024Implicit Neural Image Field for Biological Microscopy Image Compression29 May 2024
- 2024Graph Neural Networks for Learning Equivariant Representations of Neural Networks18 Mar 2024
- 2024Dynamic Memory Based Adaptive Optimization23 Feb 2024
- 2024Moco: A Learnable Meta Optimizer for Combinatorial Optimization7 Feb 2024
- 2024MetaOptimize: A Framework for Optimizing Step Sizes and Other Meta-parameters4 Feb 2024
- 2024MADA: Meta-Adaptive Optimizers through hyper-gradient Descent17 Jan 2024
- 2023Investigation into the Training Dynamics of Learned Optimizers12 Dec 2023
- 2023Meta-learning Optimizers for Communication-Efficient Learning2 Dec 2023
- 2023Generalisable Agents for Neural Network Optimisation30 Nov 2023
- 2023Prompt Engineering a Prompt Engineer9 Nov 2023
- 2023Deep Model Predictive Optimization6 Oct 2023
- 2023Advances and Challenges in Meta-Learning: A Technical Review10 Jul 2023
- 2023Towards Constituting Mathematical Structures for Learning to Optimize29 May 2023
- 2023HUB: Guiding Learned Optimizers with Continuous Prompt Tuning26 May 2023
- 2023Low-Variance Gradient Estimation in Unrolled Computation Graphs with ES-Single21 Apr 2023
- 2023Discovering Attention-Based Genetic Algorithms via Meta-Black-Box Optimization8 Apr 2023
- 2023Learning to Optimize for Reinforcement Learning3 Feb 2023
- 2023Mnemosyne: Learning to Train Transformers with Transformers2 Feb 2023
- 2022General-Purpose In-Context Learning by Meta-Learning Transformers8 Dec 2022
- 2022Transformer-Based Learned Optimization2 Dec 2022
- 2022Learning to Optimize with Dynamic Mode Decomposition29 Nov 2022
- 2022A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms22 Nov 2022
- 2022Discovering Evolution Strategies via Meta-Black-Box Optimization21 Nov 2022
- 2022VeLO: Training Versatile Learned Optimizers by Scaling Up17 Nov 2022
- 2022Empirical Study on Optimizer Selection for Out-of-Distribution Generalization15 Nov 2022
- 2022Learning to Optimize Quasi-Newton Methods11 Oct 2022
- 2022A Closer Look at Learned Optimization: Stability, Robustness, and Inductive Biases22 Sep 2022
- 2022Automated Dynamic Algorithm Configuration27 May 2022
- 2022Practical tradeoffs between memory, compute, and performance in learned optimizers22 Mar 2022
- 2022A Simple Guard for Learned Optimizers28 Jan 2022
- 2021Unbiased Gradient Estimation in Unrolled Computation Graphs with Persistent Evolution Strategies27 Dec 2021
- 2021Efficient Meta Subspace Optimization28 Oct 2021
- 2021Parameter Prediction for Unseen Deep Architectures25 Oct 2021
50 newest of 57 All 57 (JSON)
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
- 2022General-Purpose In-Context Learning by Meta-Learning Transformerscited by 102
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2023Advances and Challenges in Meta-Learning: A Technical Reviewcited by 65
- 2024Graph Neural Networks for Learning Equivariant Representations of Neural Networkscited by 59
- 2022VeLO: Training Versatile Learned Optimizers by Scaling Upcited by 57
- 2023Prompt Engineering a Prompt Engineercited by 53
- 2021Unbiased Gradient Estimation in Unrolled Computation Graphs with Persistent Evolution Strategiescited by 52
- 2022Discovering Evolution Strategies via Meta-Black-Box Optimizationcited by 44
- 2024Data Selection via Optimal Control for Language Modelscited by 38
- 2022Automated Dynamic Algorithm Configurationcited by 37
- 2023Discovering Attention-Based Genetic Algorithms via Meta-Black-Box Optimizationcited by 33
12 most cited of 56 All 56 (JSON)
- 2026Efficient Long-Horizon Learning for Learned Optimization7 Jul 2026
- 2026FlowBender: Feedback-Aware Training for Self-Correcting Conditional Flows18 Jun 2026
- 2026Learn2Splat: Extending the Horizon of Learned 3DGS Optimization15 May 2026
- 2026HERCULES: Hardware-Efficient, Robust, Continual Learning Neural Architecture Search3 May 2026
- 2026Celo2: Towards Learned Optimization Free Lunch22 Feb 2026
- 2026POP: Prior-Fitted First-Order Optimization Policies17 Feb 2026
- 2025Learning Regularizers: Learning Optimizers that can Regularize10 Oct 2025
- 2025L-SR1: Learned Symmetric-Rank-One Preconditioning17 Aug 2025
- 2025How Should We Meta-Learn Reinforcement Learning Algorithms?23 Jul 2025
- 2025Phoeni6: a Systematic Approach for Evaluating the Energy Consumption of Neural Networks25 Feb 2025
- 2025Vintix: Action Model via In-Context Reinforcement Learning31 Jan 2025
- 2025Celo: Training Versatile Learned Optimizers on a Compute Diet22 Jan 2025
12 newest of 56 All 56 (JSON)