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News/Conservation Laws from Data Symmetry in Neural Networks
arxiv
PublishedJune 10, 2026 at 4:00 AM
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Conservation Laws from Data Symmetry in Neural Networks

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arXiv:2606.10913v1 Announce Type: new Abstract: We explore whether intrinsic symmetries of the training data lead to conserved quantities during gradient-flow training of neural networks. Under the assumption that the loss function is analytic and non-polynomial, we prove that data symmetries generi

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