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Tensor Field Networks for equivariant 3D point-cloud processing

Contribution grade

Graph and geometric machine learning · Human-designed research method or resource

Reference score175,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Builds rotation-equivariant point convolutions using spherical-harmonic filters and Clebsch–Gordan tensor products, propagating scalar, vector and higher-order geometric features.

Scientific scope

Builds rotation-equivariant point convolutions using spherical-harmonic filters and Clebsch–Gordan tensor products, propagating scalar, vector and higher-order geometric features. This assessment concerns the equivariant architecture and its evaluated 3D/physics tasks. Seven original authors; Thomas and Smidt share contribution. Representation theory and tensor products are inherited mathematics; SO(3) construction is not an automatic O(3), physical-correctness or conservation guarantee. Distinct from the later e3nn software framework.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. This assessment concerns the equivariant architecture and its evaluated 3D/physics tasks. Seven original authors; Thomas and Smidt share contribution. Representation theory and tensor products are inherited mathematics; SO(3) construction is not an automatic O(3), physical-correctness or conservation guarantee. Distinct from the later e3nn software framework.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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