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The φ Curve: The Shape of Generalization through the Lens of Norm-based Capacity Control
[arXiv]
[code]
Yichen Wang, Yudong Chen, Lorenzo Rosasco, Fanghui Liu
[TLDR: We precisely characterize how the generalization learning curve behaves under a suitable model capacity and rigorously prove (Fig. 8.12, CS229 Lecture Notes).]
39th Conference on Neural Information Processing Systems (NeurIPS), 2025
Yichen Wang, Fanghui Liu, Yudong Chen
[TLDR: We characterize when spectral structure produces power-law learning curves and how learning-rate and batch-size schedules change them, with empirical validation in LLM pre-training.]
arXiv preprint, 2026
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UC San Francisco, Department of Testing
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UC-Berkeley Institute for Testing Science
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London School of Testing
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Testing Institute of America 2014 Annual Conference
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