Papers/2608.28853
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Equivariant Sheaf Neural Networks: Learning Geometric Transport on Graphs

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graph neural networksequivariancegeometric learningmachine learning
2608.28853
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1h ago

Abstract

The paper introduces ESNN, a neural network that enhances the modeling of geometric systems on graphs by learning directed, matrix-valued transport while maintaining Euclidean equivariance.

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Core Claim

ESNN improves dynamics prediction and recovers the gravity axis when symmetry is broken, demonstrating enhanced performance in various applications without requiring higher-order representations.

Method / Result

ESNN yields substantial gains on selected mesh tasks and long-horizon rollouts.

Limitations

The paper does not specify author names or provide detailed experimental setups, which may hinder reproducibility.

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