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Recurrent Neural Network Learning Dynamics Near Bifurcations Analyzed

A new research paper explores the dynamics of learning in recurrent neural networks (RNNs) near critical transition points, known as bifurcations. The study utilizes the global empirical Neural Tangent Kernel (GeNTK) to demonstrate that the learning geometry becomes amplified and anisotropic, concentrating towards specific low-rank channels. This theoretical framework is validated through experiments with high-dimensional RNNs and a multi-task LeakyRNN, showing correlations between GeNTK amplification and abrupt loss changes, subtask interference, and shifts in internal dynamics. AI

IMPACT Provides a theoretical framework for understanding and diagnosing learning behavior in complex neural networks near critical transitions.

RANK_REASON Academic paper detailing theoretical and experimental analysis of learning dynamics in RNNs. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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Recurrent Neural Network Learning Dynamics Near Bifurcations Analyzed

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · James Hazelden, Eric Shea-Brown ·

    Center-Manifold Reduction of Learning at Bifurcations: Interference and Rich Learning in Recurrent Neural Networks

    arXiv:2605.12763v2 Announce Type: replace Abstract: Rich learning in recurrent neural networks often proceeds through sudden transitions in latent dynamics, but there is little theory predicting how gradient descent behaves during these events. We study the local learning geometr…