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Weak correlations principle explains linearization in gradient-based learning systems

A new paper published on arXiv explores the principle of weak correlations as the underlying reason for the linearization observed in gradient-based learning systems. The research suggests that the simplified dynamics seen in deep learning models, particularly in the infinite limit, can be attributed to weak correlations between the first and higher-order derivatives of the hypothesis function with respect to parameters. This insight is demonstrated in wide neural networks and leads to a derived bound on deviations from linearity during stochastic gradient descent training. AI

IMPACT Provides a theoretical framework for understanding the behavior of deep learning models, potentially guiding future model development.

RANK_REASON Research paper published on arXiv detailing a theoretical principle in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Weak correlations principle explains linearization in gradient-based learning systems

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  1. arXiv stat.ML TIER_1 English(EN) · Ori Shem-Ur, Yaron Oz ·

    Weak Correlations as the Underlying Principle for Linearization of Gradient-Based Learning Systems

    arXiv:2401.04013v2 Announce Type: replace-cross Abstract: Deep learning models, such as wide neural networks, can be conceptualized as nonlinear dynamical physical systems characterized by a multitude of interacting degrees of freedom. Such systems in the infinite limit, tend to …