Equivariance and Symmetries in CNNs

Equivariance and Symmetries in CNNs - James Urquhart Allingham

"Group equivariant convolutional networks." International conference on machine learning. 2016. Page 6. Rotations in CNNs. 1. 1. 1.

CNNs and Equivariance - Part 1/2 - Fabian Fuchs

The convolutional structure of the CNN encodes the translation symmetries of image data. We've given up total flexibility and can no longer learn functions ...

Naturally Occurring Equivariance in Neural Networks - Distill.pub

Convolutional neural networks contain a hidden world of symmetries within themselves. This symmetry is a powerful tool in understanding the ...

Current Symmetry Group Equivariant Convolution Frameworks for ...

Recognizing rotation, translation, permutation, or scale symmetries can lead to equivariance properties in the learned representations. This has ...

Symmetry Group Equivariant Neural Networks - John McGreevy

tures which are equivariant to various symmetry groups. II. DEEP ... II mentioned CNNs and GNNs which are equivariant and invariant respectively ...

Equivariant neural networks - what, why and how? | Maurice Weiler

For example, CNNs are constructed from convolution layers, each of which is, by itself, a translation equivariant map. The equivariance of the ...

A Probabilistic Approach to Learning the Degree of Equivariance in ...

Abstract:Steerable convolutional neural networks (SCNNs) enhance task performance by modelling geometric symmetries through equivariance ...

Geometric Deep Learning: Group Equivariant Convolutional Networks

Depending on the specific implementation used, feature maps in G-CNNs are equivariant under newly imposed symmetry transformations.

Gauge Equivariant Convolutional Networks and the Icosahedral CNN

The principle of equivariance to symmetry transformations enables a theoretically grounded approach to neural network architecture design. Equivariant ...

Group Equivariant Convolutional Networks

❖ They exploit translational symmetry. ❖ Why do CNNs work so well? Szegedy et al. (2015). Page 8. ConvNets are Translation Equivariant.

A General Theory of Equivariant CNNs on Homogeneous Spaces

Through the use of convolution layers, Convolutional Neural Networks (CNNs) have a built-in understanding of locality and translational symmetry that is ...

adding more symmetries and manifold inductive priors to CNNs ...

Convolutional neural networks were revolutionary because they added translation equivariance. Images have "translational symmetries" where the ...

Week 7 - Symmetry and Equivariance in Neural Networks - Tess Smidt

Week 7 - Symmetry and Equivariance in Neural Networks - Tess Smidt ; Tess Smidt: "Euclidean Neural Networks for Emulating Ab Initio Calculations ...

Using and Abusing Equivariance - CVF Open Access

CNNs are able to learn to become equivariant from data [12, 28]. However, this does not guarantee equivari- ance to the symmetries in the data and results in a ...

Euclidean Symmetry and Equivariance in Machine Learning

CNNs [8], and their descendants [9,10]) are a flexible, general framework for learning. 3D Euclidean symmetry equivariant func- tions that ...

Group Equivariant Convolutional Networks

Then we take a look at functions on groups (used to model feature maps in. G-CNNs) and their transformation properties. 4.1. Symmetry Groups. A symmetry of an ...

Equivariant and Coordinate Independent Convolutional Networks

... equivariant with respect to the manifolds' global symmetries (isometries). ... equivariant) convolution kernels, which are at the heart of equivariant CNNs.

Theory for Equivariant Quantum Neural Networks

The relevant symmetry group in CNNs is the translation group in the plane R 2 and one can show that their convolution and pooling layers are ...

Implementing rotation equivariance: Group-equivariant CNN ... - Posit

gcnn::GroupEquivariantCNN() is a simple wrapper, in that its layers all make use of the same symmetry group. In principle, there is no need to ...

Equivariant Neural Networks | Part 1/3 - Introduction - YouTube

... Equivariance: https://distill.pub/2020/circuits/equivariance ... Symmetries 06:22 Why are CNNs not rotation equivariant? 07:14 ...