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We propose a framework for rotation and translation covariant deep learning using $SE(2)$ group convolutions.
Objective criteria for the evaluation of clustering methods
Rand, W.M.: · 1971
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Ridge-based vessel segmentation in color images of the retina
Staal, J., Abràmoff, M.D., Niemeijer, M., et al.: · 2004
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Image analysis and reconstruction using a wavelet transform constructed from a reducible representation of the Euclidean motion group
Duits, R., Felsberg, M., Granlund, G.H., ter Haar Romeny, B.M.: · 2007
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Learning invariant representations with local transformations
Sohn, K., Lee, H.: · 2012
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Rotation, scaling and deformation invariant scattering for texture discrimination
Sifre, L., Mallat, S.: · 2013
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Generic deep networks with wavelet scattering
Oyallon, E., Mallat, S., Sifre, L.: · 2013
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Mitosis detection in breast cancer histology images with deep neural networks
Cireşan, D.C., Giusti, A., et al.: · 2013
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Deep symmetry networks
Gens, R., Domingos, P.M.: · 2014
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Assessment of algorithms for mitosis detection in breast cancer histopathology images
Veta, M., van Diest, P., Willems, S., et al.: · 2015
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Crowdsourcing the creation of image segmentation algorithms for connectomics
Arganda-Carreras, I., Turaga, S.C., et al.: · 2015
Cited alongside, same era.
Group equivariant convolutional networks
Cohen, T., Welling, M.: · 2016
Cited alongside, same era.
Exploiting cyclic symmetry in convolutional neural networks
Dieleman, S., De Fauw, J., Kavukcuoglu, K.: · 2016
Harmonic networks: Deep translation and rotation equivariance
Worrall, D.E., Garbin, S.J., Turmukhambetov, D., Brostow, G.J.: · 2017
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Warped convolutions: Efficient invariance to spatial transformations
Henriques, J.F., Vedaldi, A.: · 2017
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Learning steerable filters for rotation equivariant cnns
Weiler, M., Hamprecht, F.A., Storath, M.: · 2017
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Domain-adversarial neural networks to address the appearance variability of histopathology images
Lafarge, M.W., Pluim, J.P., Eppenhof, K.A., Moeskops, P., Veta, M.: · 2017
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Template matching via densities on the roto-translation group
Bekkers, E.J., Loog, M., ter Haar Romeny, B.M., Duits, R.: · 2018
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Cited alongside, same era.