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New theory explains training dynamics of partially trained neural networks

Researchers have developed a new theoretical framework to understand the training dynamics of partially trained three-layer neural networks. By extending mean-field theory to functional spaces, they established that the limiting model follows a functional gradient flow with a time-varying kernel. This approach proves linear-rate convergence for the training loss and demonstrates feature learning across different scaling regimes. AI

IMPACT Provides theoretical insights into neural network training, potentially informing future model development and optimization strategies.

RANK_REASON The cluster contains a single academic paper detailing theoretical research on neural network training dynamics. [lever_c_demoted from research: ic=1 ai=1.0]

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New theory explains training dynamics of partially trained neural networks

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Zhengdao Chen, Eric Vanden-Eijnden, Joan Bruna ·

    A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks

    arXiv:2210.16286v2 Announce Type: replace-cross Abstract: To understand the training dynamics of neural networks, prior studies have considered the mean-field limit of two-layer neural networks as the width tends to infinity, establishing theoretical guarantees for its convergenc…