Fast Learning Rate Transfer in Shallow Linear Networks at Growing Training Horizons

arXiv:2609.35029 · cs.LG, stat.ML · Submitted 2026-09-28 · Read on arXiv

cs.LG, stat.ML

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Consistency — 7× in this paper · explained in 3 episodes
• Transformer — 4× in this paper · explained in 2 episodes
• Scaling Laws — 3× in this paper · explained in 4 episodes
• Alignment — 2× in this paper · explained in 1 episode
• Spectral Geometry — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model
• Optimal Embedding Learning Rate in LLMs: The Effect of Vocabulary Size
• Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer
• An Empirical Study of $\mu$P Learning Rate Transfer
• Learning Rate Transfer in Normalized Transformers

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