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Neural network weight evolution analyzed using topological dynamics

Researchers have explored the topological dynamics of neural network weights under different supervision conditions. By analyzing persistent homology of weight point clouds in a multilayer perceptron trained on Fashion-MNIST, they observed differences between models trained with correct labels versus those with random or permuted labels. While correct-label models showed descriptively greater time-averaged H1 persistence, statistical significance was not reached after correction. Early classification using topological features showed comparable or slightly lower accuracy than conventional diagnostics, indicating no clear incremental predictive improvement in this specific experimental setup. AI

IMPACT Introduces a novel method for analyzing neural network training dynamics, potentially offering new insights into model behavior and generalization.

RANK_REASON The cluster contains a single academic paper submitted to arXiv, detailing novel research methodology. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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Neural network weight evolution analyzed using topological dynamics

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The cluster contains a single academic paper submitted to arXiv, detailing novel research methodology. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Mitra Varun ·

    Topological Dynamics Under Non-Stationary Supervision: Persistent Homology of Neural Network Weight Evolution

    arXiv:2611.13701v1 Announce Type: new Abstract: We investigate how the persistent topology of neuron- weight point clouds evolves under stable and non-stationary supervision. An identical multilayer perceptron is trained on Fashion-MNIST with correct labels, a fixed random permut…