Symmetry Group Equivariant Neural Networks

Symmetry Group Equivariant Neural Networks - John McGreevy

I review artificial neural network architectures designed to be equivariant to certain symmetry group transformations. I'll discuss two different but ...

[2212.08630] Brauer's Group Equivariant Neural Networks - arXiv

... equivariant neural networks whose layers are some tensor power of \mathbb{R}^{n} for three symmetry groups that are missing from the machine ...

Symmetry Group Equivariant Architectures for Physics - arXiv

machine learning architectures has already resulted in significant performance benefits for models such as convolutional neural networks (CNNs), ...

Geometric deep learning and equivariant neural networks

We also discuss group equivariant neural networks for homogeneous spaces , which are instead equivariant with respect to the global symmetry G ...

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

Mathematically, such transformations are described by symmetry groups, or, more precisely, by their group actions. An intuitive understanding of ...

Brauer's Group Equivariant Neural Networks

We provide a full characterisation of all of the possible group equivariant neural networks whose layers are some tensor power of Rn for three symmetry ...

Theory for Equivariant Quantum Neural Networks

A comprehensive theoretical framework to design equivariant quantum neural networks (EQNNs) for essentially any relevant symmetry group.

Group Equivariant Convolutional Networks

equivariant map for the symmetry group. Φ. D ... neural-networks-see-the-world.html. Page 11. Visual Group Theory. With figures from “Visual Group Theory ...

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

... Symmetries 06:22 Why are CNNs not rotation ... 10:07 Naturally occuring equivariance 10:50 Group Equivariant Convolutional Neural Networks ...

Brauer's Group Equivariant Neural Networks - OpenReview

We provide a full characterisation of all of the possible group equivariant neural networks whose layers are some tensor power of ...

Symmetry Group Equivariant Architectures for Physics - arXiv Xplorer

We review recent work in machine learning aspects of conformal field theory and Lie algebra representation theory using neural networks. hep-th ...

10. Equivariant Neural Networks

However, augmentation does not work for locally compact symmetry groups (e.g., SO(3)) — so you cannot use them for rotationally equivariant data. You can do ...

Group Equivariant Convolutional Networks

Deep convolutional neural networks (CNNs, convnets) have proven to be very powerful models of sensory data such as images, video, and audio. Although a strong ...

[PDF] Symmetry Group Equivariant Architectures for Physics

Explainable Equivariant Neural Networks for Particle Physics: PELICAN · Physics, Computer Science. Journal of High Energy Physics · 2024.

Exploiting Learned Symmetries in Group Equivariant Convolutions

Group Equivariant Convolutions (GConvs) enable convolutional neural networks to be equivariant to various transformation groups, but at an additional ...

Symmetry Group Equivariant Architectures for Physics - Inspire HEP

Clebsch-Gordan Nets: a Fully Fourier Space Spherical Convolutional Neural Network, in NeurIPS, S. Bengio, H.M. Wallach, H. Larochelle, K.

Talks - Edward Pearce-Crump

One important approach involves encoding symmetries into neural network ... We provide a full characterisation of all of the possible group equivariant neural ...

Lie Group Decompositions for Equivariant Neural Networks

... symmetry group of the underlying real-world object is. An equivariant network is advantageous even in this case, as the entire network can be made invariant ...

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. Specifically ...

Group Equivariant Deep Learning - Lecture 1.1: Introduction

Lecture 1: Regular group convolutional neural networks.