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New research analyzes neural network training dynamics in high dimensions

A new research paper published on arXiv analyzes the high-dimensional training dynamics of shallow neural networks with quadratic activation functions. The study focuses on the extensive-width regime, where network width scales with input dimension, and uses dynamical mean-field theory to characterize gradient flow. The findings offer quantitative insights into how overparameterization affects learning and generalization, revealing a double descent phenomenon in the presence of label noise and providing an exact expression for the perfect recovery threshold under l2-regularization. AI

IMPACT Provides theoretical understanding of overparameterization effects on neural network learning and generalization.

RANK_REASON The cluster contains a research paper published on arXiv detailing theoretical analysis of neural network dynamics. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New research analyzes neural network training dynamics in high dimensions

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Simon Martin (DI-ENS, LPENS, SIERRA), Giulio Biroli (LPENS), Francis Bach (DI-ENS, SIERRA) ·

    High-Dimensional Analysis of Gradient Flow for Extensive-Width Quadratic Neural Networks

    arXiv:2601.10483v2 Announce Type: replace-cross Abstract: We study the high-dimensional training dynamics of a shallow neural network with quadratic activation in a teacher-student setup. We focus on the extensive-width regime, where the teacher and student network widths scale p…