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Gradient Descent Mimics Perceptron Algorithm in Neural Networks

Researchers have demonstrated that gradient descent steps in neural networks trained with logistic loss can be simplified to resemble generalized perceptron algorithms. This new perspective, using classical linear algebra, reveals how the nonlinearity in two-layer models can achieve faster iteration complexity than linear models. The findings offer a theoretical explanation for the implicit acceleration observed in neural network optimization and are supported by numerical experiments. AI

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IMPACT Provides a novel theoretical framework for understanding and potentially improving neural network training efficiency.

RANK_REASON Academic paper detailing a new theoretical perspective on optimization dynamics in neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

COVERAGE [1]

  1. arXiv cs.LG TIER_1 · Alexander Tyurin ·

    Gradient Descent as a Perceptron Algorithm: Understanding Dynamics and Implicit Acceleration

    arXiv:2512.11587v2 Announce Type: replace Abstract: Even for the gradient descent (GD) method applied to neural network training, understanding its optimization dynamics, including convergence rate, iterate trajectories, function value oscillations, and especially its implicit ac…