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Random Matrix Theory Explains Early Stopping in Gradient Flow

Researchers have developed a new analytical model using random matrix theory to explain the phenomenon of early stopping in gradient descent. This model demonstrates how learning signals can appear and then disappear within a specific time window before overfitting becomes dominant. The key factors identified are input covariance anisotropy and noise, which influence the dynamics of learning by creating fast and slow directions. The study provides a theoretical framework for understanding early stopping as a transient spectral effect. AI

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RANK_REASON The submission is an academic paper detailing a new theoretical model for gradient descent dynamics.

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Random Matrix Theory Explains Early Stopping in Gradient Flow

COVERAGE [2]

  1. Hugging Face Daily Papers TIER_1 ·

    Random Matrix Theory of Early-Stopped Gradient Flow: A Transient BBP Scenario

    Empirical studies of trained models often report a transient regime in which signal is detectable in a finite gradient descent time window before overfitting dominates. We provide an analytically tractable random-matrix model that reproduces this phenomenon for gradient flow in a…

  2. arXiv stat.ML TIER_1 · Jean-Philippe Bouchaud ·

    Random Matrix Theory of Early-Stopped Gradient Flow: A Transient BBP Scenario

    Empirical studies of trained models often report a transient regime in which signal is detectable in a finite gradient descent time window before overfitting dominates. We provide an analytically tractable random-matrix model that reproduces this phenomenon for gradient flow in a…