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Despite the success of equivariant neural networks in scientific applications, they require knowing the symmetry group a priori.
Lie groups beyond an introduction , volume 140
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970 million druglike small molecules for virtual screening in the chemical universe database gdb-13
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The mnist database of handwritten digit images for machine learning research [best of the web]
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Group equivariant convolutional networks
Cohen, T. and Welling, M · 2016
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f-gan: Training generative neural samplers using variational divergence minimization
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Zaheer, M., Kottur, S., Ravanbakhsh, S., Poczos, B., Salakhutdinov, R. R., and Smola, A. J · 2017
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Unpaired image-to-image translation using cycle-consistent adversarial networks
Zhu, J.-Y., Park, T., Isola, P., and Efros, A. A · 2017
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Cohen, T. S., Geiger, M., Köhler, J., and Welling, M · 2018
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Kondor, R. and Trivedi, S · 2018
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Bekkers, E. J · 2019
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A kernel theory of modern data augmentation
Generalizing convolutional neural networks for equivariance to lie groups on arbitrary continuous data
Finzi, M., Stanton, S., Izmailov, P., and Wilson, A. G · 2020
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Detecting symmetries with neural networks
Krippendorf, S. and Syvaeri, M · 2020
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Meta-learning symmetries by reparameterization
Zhou, A., Knowles, T., and Finn, C · 2020
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Noether networks: meta-learning useful conserved quantities
Alet, F., Doblar, D., Zhou, A., Tenenbaum, J., Kawaguchi, K., and Finn, C · 2021
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Automatic symmetry discovery with lie algebra convolutional network
Dehmamy, N., Walters, R., Liu, Y., Wang, D., and Yu, R · 2021
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Dao, T., Gu, A., Ratner, A., Smith, V., De Sa, C., and Ré, C · 2019
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Falorsi, L., de Haan, P., Davidson, T. R., and Forré, P · 2019
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Kasieczka, G., Plehn, T., Thompson, J., and Russel, M · 2019
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General e (2)-equivariant steerable cnns
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A practical method for constructing equivariant multilayer perceptrons for arbitrary matrix groups
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E (n) equivariant graph neural networks
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Gong, S., Meng, Q., Zhang, J., Qu, H., Li, C., Qian, S., Du, W., Ma, Z.-M., and Liu, T.-Y · 2022
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Approximately equivariant networks for imperfectly symmetric dynamics
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