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automatic symmetry discovery

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Automatic Symmetry Discovery with Lie Algebra Convolutional Network

Neural Information Processing SystemsOct-9-2024, 14:26:00 GMT

Existing equivariant neural networks require prior knowledge of the symmetry group and discretization for continuous groups. We propose to work with Lie algebras (infinitesimal generators) instead of Lie groups. Our model, the Lie algebra convolutional network (L-conv) can automatically discover symmetries and does not require discretization of the group. We show that L-conv can serve as a building block to construct any group equivariant feedforward architecture. Both CNNs and Graph Convolutional Networks can be expressed as L-conv with appropriate groups.

automatic symmetry discovery, convolutional network, lie algebra convolutional network, (2 more...)

Neural Information Processing Systems

Technology: Information Technology > Artificial Intelligence > Machine Learning > Neural Networks (0.30)

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