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New theory defines optimal scale for ML model learnability

Researchers have introduced a new theoretical framework called Scale-Sensitive Shattering to understand the optimal scale for machine learning model learnability and uniform convergence. The findings establish equivalences between uniform convergence, agnostic learnability, and the fat-shattering dimension at specific scales. This work refutes a long-standing conjecture and provides tighter bounds on metric-entropy, with implications for integral probability metrics. AI

IMPACT Provides a theoretical foundation for understanding model learnability and convergence, potentially guiding future model development.

RANK_REASON The cluster contains an academic paper detailing theoretical advancements in machine learning.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New theory defines optimal scale for ML model learnability

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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Tom Waknine ·

    Scale-Sensitive Shattering: Learnability and Evaluability at Optimal Scale

    We study the optimal scale at which real-valued function classes exhibit uniform convergence and learnability. Our main result establishes a scale-sensitive generalization of the fundamental theorem of PAC learning: for every bounded real-valued class and every $γ>0$, uniform con…

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    Scale-Sensitive Shattering: Learnability and Evaluability at Optimal Scale

    We study the optimal scale at which real-valued function classes exhibit uniform convergence and learnability. Our main result establishes a scale-sensitive generalization of the fundamental theorem of PAC learning: for every bounded real-valued class and every $γ>0$, uniform con…