English(EN) General Frequency Principle for Linear Approximation Classes

arXiv论文详述了线性逼近类的新通用频率原理

作者 PulseAugur 编辑部 · [1 个来源] · 2026-11-02 05:00

研究人员引入了线性逼近类的通用频率原理，这是一个用于理解梯度下降训练的新理论框架。该原理表明，在训练过程中，学习器幅度在高频时会减小，并建立了优先考虑低频的条件。该原理不能保证低频收敛速度更快，但表明高频分量可能需要更长时间才能学习到，这已通过使用勒让德和三角基的数值实验得到验证。 AI

影响为理解线性逼近类中的梯度下降训练提供了一个理论框架，可能为未来的模型优化技术提供信息。

排序理由详细介绍机器学习新理论原理的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Yujun Wang, Yiqi Gu · 2026-11-02 05:00

General Frequency Principle for Linear Approximation Classes

arXiv:2610.41179v1 Announce Type: new Abstract: In this paper, we study a general frequency principle under gradient descent training for the finite linear approximation classes. Under suitable assumptions, we prove that the learner amplitude relative to the target amplitude vani…