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Tensor Field Networks for equivariant 3D point-cloud processing

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

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

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

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.

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People and systems

Nathaniel Thomas; Tess Smidt; Steven Kearnes; Lusann Yang; Li Li; Kai Kohlhoff; Patrick Riley

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English catalogue narrative

Tensor Field Networks for equivariant 3D point-cloud processing

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

Scientific scope

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.

People and systems

Nathaniel Thomas; Tess Smidt; Steven Kearnes; Lusann Yang; Li Li; Kai Kohlhoff; Patrick Riley

Original sources