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New General Frequency Principle for Linear Approximation Classes detailed in arXiv paper

Researchers have introduced the General Frequency Principle for Linear Approximation Classes, a new theoretical framework for understanding gradient descent training. The principle demonstrates that learner amplitude diminishes at higher frequencies during training, with conditions established for prioritizing lower frequencies. This principle does not guarantee faster convergence for lower frequencies but indicates that components with higher frequencies may take longer to learn, as validated by numerical experiments using Legendre and trigonometric bases. AI

IMPACT Provides a theoretical framework for understanding gradient descent training in linear approximation classes, potentially informing future model optimization techniques.

RANK_REASON Academic paper detailing a new theoretical principle in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New General Frequency Principle for Linear Approximation Classes detailed in arXiv paper

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Academic paper detailing a new theoretical principle in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.LG TIER_1 English(EN) · Yujun Wang, Yiqi Gu ·

    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…