Covariance in Physics and Convolutional Neural Networks

The foundation of the general theory of relativity

Einstein, A · 1916

Earlier work this paper cites.

Dimensional reduction in quantum gravity

’t Hooft, G · 1993

Earlier work this paper cites.

Group equivariant convolutional networks

Cohen, T. S. and Welling, M · 2016

Earlier work this paper cites.

Steerable CNNs

Cohen, T. S. and Welling, M · 2017

Earlier work this paper cites.

Harmonic Networks: Deep Translation and Rotation Equivariance

Original

Worrall, D. E., Garbin, S. J., Turmukhambetov, D., and Brostow, G. J · 2017

Cited alongside, same era.

HexaConv

Hoogeboom, E., Peters, J. W. T., Cohen, T. S., and Welling, M · 2018

Cited alongside, same era.

On the generalization of equivariance and convolution in neural networks to the action of compact groups

Original

Kondor, R. and Trivedi, S · 2018

Cited alongside, same era.

A General Theory of Equivariant CNNs on Homogeneous Spaces

Cohen, T., Geiger, M., and Weiler, M

Cited in the paper.

Spherical CNNs

Cohen, T. S., Geiger, M., Koehler, J., and Welling, M

Cited in the paper.

Intertwiners between Induced Representations (with Applications to the Theory of Equivariant Neural Networks)

Cohen, T. S., Geiger, M., and Weiler, M

Cited in the paper.

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

Weiler, M., Geiger, M., Welling, M., Boomsma, W., and Cohen, T. S

Cited in the paper.

Learning Steerable Filters for Rotation Equivariant CNNs

Weiler, M., Hamprecht, F. A., and Storath, M

Cited in the paper.

3D G-CNNs for Pulmonary Nodule Detection

Winkels, M. and Cohen, T. S · 2018

Later among the works it cites.

Cubenet: Equivariance to 3d rotation and translation

Worrall, D. E. and Brostow, G. J · 2018

Later among the works it cites.

Gauge equivariant convolutional networks and the icosahedral cnn

Original

Cohen, T. S., Weiler, M., Kicanaoglu, B., and Welling, M · 2019

Closest in time.