An Empirical Study of μP Learning Rate Transfer
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Abstract (arXiv)
Deep learning models have become a cornerstone of modern AI research, yet their initializations and learning rates may at times be set in an opaque or ad-hoc fashion due to the high cost of hyperparameter sweeps. The μ-Parameterization (μP) offers a possible solution to this challenge, yielding scaling rules for model initialization and learning rates while reportedly enabling zero-shot hyperparameter transfer from small to large models. Despite its evident promise, the μP method is not yet widely adopted, perhaps due to higher implementation complexity, many variations, or complex theoretical background. This work considers μP empirically, focusing on the popular transformer architecture, and aims to answer a simple question: does μ-Transfer yield near-optimal learning rates in practice? Studying over a dozen ablations with up to 1.2B parameters and 33B tokens and a large-scale experiment with up to 10B parameters and 190B tokens, we observe a positive answer for most settings, and discuss improvements otherwise.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Apr 2024.
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Citing papers per year: 2024: 1; 2025: 4; 2026: 4.
9 papers.
- 2024Rethinking Conventional Wisdom in Machine Learning: From Generalization to Scalingcited by 21
- 2025Understanding the Mechanisms of Fast Hyperparameter Transfercited by 6
- 2025Optimal Embedding Learning Rate in LLMs: The Effect of Vocabulary Sizecited by 4
- 2025Pre-Training LLMs on a budget: A comparison of three optimizerscited by 4
- 2025A Proof of Learning Rate Transfer under μPcited by 3
- 2026Statistical Properties of Training & Generalizationcited by 2
- 2026Learning Rate Transfer in Normalized Transformerscited by 1
- 2026Relative Generalization Invariance of LLM Pretrainingcited by 0
- 2026Learning Rate Transfer for Hybrid Transformer-SSM Architecturescited by 0
- 2026Learning Rate Transfer for Hybrid Transformer-SSM Architectures1 Oct 2026
- 2026Relative Generalization Invariance of LLM Pretraining26 Sep 2026
- 2026Statistical Properties of Training & Generalization18 Jun 2026
- 2026Learning Rate Transfer in Normalized Transformers29 Apr 2026
- 2025Understanding the Mechanisms of Fast Hyperparameter Transfer28 Dec 2025
- 2025A Proof of Learning Rate Transfer under μP3 Nov 2025
- 2025Pre-Training LLMs on a budget: A comparison of three optimizers11 Jul 2025
- 2025Optimal Embedding Learning Rate in LLMs: The Effect of Vocabulary Size17 Jun 2025
- 2024Rethinking Conventional Wisdom in Machine Learning: From Generalization to Scaling23 Sep 2024