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Coordinate Independent Convolutional Networks -- Isometry and Gauge Equivariant Convolutions on Riemannian Manifolds


Jun 10, 2021
Maurice Weiler, Patrick Forré, Erik Verlinde, Max Welling

* The implementation of orientation independent M\"obius convolutions is publicly available at https://github.com/mauriceweiler/MobiusCNNs 

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A Wigner-Eckart Theorem for Group Equivariant Convolution Kernels


Oct 22, 2020
Leon Lang, Maurice Weiler

* 98 pages 

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Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric graphs


Mar 11, 2020
Pim de Haan, Maurice Weiler, Taco Cohen, Max Welling


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General $E(2)$-Equivariant Steerable CNNs


Nov 19, 2019
Maurice Weiler, Gabriele Cesa

* Conference on Neural Information Processing Systems (NeurIPS), 2019 

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Covariance in Physics and Convolutional Neural Networks


Jun 06, 2019
Miranda C. N. Cheng, Vassilis Anagiannis, Maurice Weiler, Pim de Haan, Taco S. Cohen, Max Welling


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Gauge Equivariant Convolutional Networks and the Icosahedral CNN


Feb 11, 2019
Taco S. Cohen, Maurice Weiler, Berkay Kicanaoglu, Max Welling


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A General Theory of Equivariant CNNs on Homogeneous Spaces


Nov 05, 2018
Taco Cohen, Mario Geiger, Maurice Weiler


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


Oct 27, 2018
Maurice Weiler, Mario Geiger, Max Welling, Wouter Boomsma, Taco Cohen


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Explorations in Homeomorphic Variational Auto-Encoding


Jul 12, 2018
Luca Falorsi, Pim de Haan, Tim R. Davidson, Nicola De Cao, Maurice Weiler, Patrick Forré, Taco S. Cohen

* 16 pages, 8 figures, ICML workshop on Theoretical Foundations and Applications of Deep Generative Models 

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


Mar 30, 2018
Taco S. Cohen, Mario Geiger, Maurice Weiler


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Learning Steerable Filters for Rotation Equivariant CNNs


Mar 19, 2018
Maurice Weiler, Fred A. Hamprecht, Martin Storath

* Camera ready version, accepted for CVPR 2018 

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