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Equivariant convolutional neural networks for the group E(3) of 3 dimensional rotations, translations, and mirrors.

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Documentation | Code | ChangeLog | Colab

The aim of this library it to help the developement of E3 equivariant neural networks. It contains fundamental mathematical operations such as tensor products and spherical harmonics.


It is recommanded to install using pip. The main branch is considered as unstable.


Previous version

e3nn has been recently refactored. The last version before refactoring can be installed with the command pip install e3nn==0.1.1


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  author       = {Mario Geiger and
                  Tess Smidt and
                  Benjamin K. Miller and
                  Wouter Boomsma and
                  Kostiantyn Lapchevskyi and
                  Maurice Weiler and
                  Michał Tyszkiewicz and
                  Alby M. and
                  Bradley Dice and
                  Jes Frellsen and
                  Nuri Jung and
                  Sophia Sanborn and
                  Josh Rackers and
                  Simon Batzner},
  title        = {e3nn/e3nn 0.2.3},
  month        = feb,
  year         = 2021,
  publisher    = {Zenodo},
  version      = {0.2.3},
  doi          = {10.5281/zenodo.4557591},
  url          = {}


Euclidean neural networks (e3nn) Copyright (c) 2020, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from the U.S. Dept. of Energy), Ecole Polytechnique Federale de Lausanne (EPFL), Free University of Berlin and Kostiantyn Lapchevskyi. All rights reserved.

If you have questions about your rights to use or distribute this software, please contact Berkeley Lab's Intellectual Property Office at

NOTICE. This Software was developed under funding from the U.S. Department of Energy and the U.S. Government consequently retains certain rights. As such, the U.S. Government has been granted for itself and others acting on its behalf a paid-up, nonexclusive, irrevocable, worldwide license in the Software to reproduce, distribute copies to the public, prepare derivative works, and perform publicly and display publicly, and to permit others to do so.

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