3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data

We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations. These SE(3)-equivariant convolutions utilize kernels which are parameterized as a linear combination of a complete steerable kernel basis, which is derived analytically in this paper. We prove that equivariant convolutions are the most general equivariant linear maps between fields over R-3. Our experimental results confirm the effectiveness of 3D Steerable CNNs for the problem of amino acid propensity prediction and protein structure classification, both of which have inherent SE(3) symmetry.


Published in:
Advances In Neural Information Processing Systems 31 (Nips 2018), 31
Presented at:
32nd Conference on Neural Information Processing Systems (NIPS), Montreal, CANADA, Dec 02-08, 2018
Year:
Jan 01 2018
Publisher:
La Jolla, NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)
ISSN:
1049-5258
Laboratories:




 Record created 2019-06-18, last modified 2019-08-12


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