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1802.03690
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On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups
11 February 2018
Risi Kondor
Shubhendu Trivedi
MLT
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Papers citing
"On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups"
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Title
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Generalizing Convolutional Neural Networks for Equivariance to Lie Groups on Arbitrary Continuous Data
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Set2Graph: Learning Graphs From Sets
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Incorporating Symmetry into Deep Dynamics Models for Improved Generalization
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Universal Equivariant Multilayer Perceptrons
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Attentive Group Equivariant Convolutional Networks
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PDE-based Group Equivariant Convolutional Neural Networks
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Quaternion Equivariant Capsule Networks for 3D Point Clouds
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General
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Scale-Equivariant Steerable Networks
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A Simple Proof of the Universality of Invariant/Equivariant Graph Neural Networks
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Dilated Convolutional Neural Networks for Sequential Manifold-valued Data
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A Group-Theoretic Framework for Data Augmentation
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Effective Rotation-invariant Point CNN with Spherical Harmonics kernels
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SurReal: Fréchet Mean and Distance Transform for Complex-Valued Deep Learning
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Covariance in Physics and Convolutional Neural Networks
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Provably scale-covariant continuous hierarchical networks based on scale-normalized differential expressions coupled in cascade
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Graph Neural Networks Exponentially Lose Expressive Power for Node Classification
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Geometric Wavelet Scattering Networks on Compact Riemannian Manifolds
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Universal Invariant and Equivariant Graph Neural Networks
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Equivariant Multi-View Networks
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Discrete Rotation Equivariance for Point Cloud Recognition
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Universal approximations of permutation invariant/equivariant functions by deep neural networks
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Gauge Equivariant Convolutional Networks and the Icosahedral CNN
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On the Universality of Invariant Networks
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Invariant and Equivariant Graph Networks
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Cross-Domain 3D Equivariant Image Embeddings
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