μLO: Compute-Efficient Meta-Generalization of Learned Optimizers
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Abstract (arXiv)
Learned optimizers (LOs) have the potential to significantly reduce the wall-clock training time of neural networks. However, they can struggle to optimize unseen tasks (meta-generalize), especially when training networks wider than those seen during meta-training. To address this, we derive the Maximal Update Parametrization (μP) for two state-of-the-art learned optimizer architectures and propose a simple meta-training recipe for μ-parameterized LOs (μLOs). Our empirical evaluation demonstrates that LOs meta-trained with our recipe substantially improve meta-generalization to wider unseen tasks when compared to LOs trained under standard parametrization (SP) using the same compute budget. We also empirically observe that μLOs exhibit unexpectedly improved meta-generalization to deeper networks (5× meta-training) and surprising generalization to much longer training horizons (25× meta-training) when compared to SP LOs.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 32 of its 52 references that are in the map. First posted on arXiv 31 May 2024.
Builds on
32 of 52 references.
References · 32
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20 more
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Built on by
Citing papers per year: 2025: 3; 2026: 4.
7 papers.
- 2025Celo: Training Versatile Learned Optimizers on a Compute Dietcited by 4
- 2025Deciphering Trajectory-Aided LLM Reasoning: An Optimization Perspectivecited by 2
- 2025PyLO: Towards Accessible Learned Optimizers in PyTorchcited by 1
- 2026Celo2: Towards Learned Optimization Free Lunchcited by 1
- 2026Extending μP: Spectral Conditions for Feature Learning Across Optimizerscited by 0
- 2026When is Warmstarting Effective for Scaling Language Models?cited by 0
- 2026Learning to Optimize Radiotherapy Plans via Fluence Maps Diffusion Model Generation and LSTM-based Optimizationcited by 0
- 2026Learning to Optimize Radiotherapy Plans via Fluence Maps Diffusion Model Generation and LSTM-based Optimization13 May 2026
- 2026When is Warmstarting Effective for Scaling Language Models?13 May 2026
- 2026Extending μP: Spectral Conditions for Feature Learning Across Optimizers24 Feb 2026
- 2026Celo2: Towards Learned Optimization Free Lunch22 Feb 2026
- 2025PyLO: Towards Accessible Learned Optimizers in PyTorch12 Jun 2025
- 2025Deciphering Trajectory-Aided LLM Reasoning: An Optimization Perspective26 May 2025
- 2025Celo: Training Versatile Learned Optimizers on a Compute Diet22 Jan 2025