Symmetry Group Equivariant Neural Networks

Lie Group Equivariant Convolutional Neural Network Based on ...

... network equivariant to discrete rotation because group symmetry reduces sample complexity. Larocca et al. [10] used either the continuous ...

Equivariant and Coordinate Independent Convolutional Networks

... NETWORKS. A GAUGE FIELD THEORY OF NEURAL NETWORKS. The work described in ... networks which are equivariant under larger symmetry groups. Such models ...

Equivariant Convolution Frameworks for Representation Learning ...

... symmetry group of a neural network layer." "Equivariance applies to convolutions using filter banks, shaping a multitude of geometric deep learning ...

Will a CNN that is Group Equivariant always be better than a regular ...

So, a neural network with rotation invariance will never be able to distinguish between sixes and nines! Share.

Euclidean Symmetry and Equivariance in Machine Learning

While invariant models are the most prevalent symmetry-aware models, equivariant models such as Euclidean neural networks more faithfully ...

Group equivariant networks for leakage detection in vacuum bagging

Kavukcuoglu, “Exploiting cyclic symmetry in convolutional neural networks,” in International conference on machine learning. PMLR, 2016, pp. 1889–1898. [19] ...

ICML 2023 Brauer's Group Equivariant Neural Networks Oral

Oral. Brauer's Group Equivariant Neural Networks. Edward Pearce-Crump. Ballroom B. [ Abstract ] [ Visit Oral B5 Self/Semi-Supervised Learning and ...

On the Construction of Group Equivariant Non-Expansive Operators ...

This article is part of the Research Topic Symmetry as a Guiding Principle in Artificial and Brain Neural Networks View all 11 articles. On ...

Edward Pearce-Crump · Brauer's Group Equivariant Neural Networks

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

lorentz group equivariant neural network

correct symmetry group for the problem: vs . 15. SO(1,3)+. SO(3). Page ... neural network in particle physics with the symmetries of the ...

[D] Benefits of Equivariant Networks : r/MachineLearning - Reddit

As soon as the symmetric group strikes, equivariance will ... You and I are using equivariant neural networks: they are the SOTA of image ...

Equivariant neural networks for inverse problems - PMC - NCBI

... learning methods, in the form of group equivariant convolutional neural networks. ... group symmetry, the proximal operator will be equivariant:.

Attentive Group Equivariant Convolutional Networks

arXiv preprint arXiv:1911.07704, 2019. Dieleman, S., De Fauw, J., and Kavukcuoglu, K. Exploiting cyclic symmetry in convolutional neural networks. arXiv.

Exploring Group Equivariant Neural Networks using Set Partition ...

Symmetries in mathematics are given by groups. A group is a non-empty set G together with a binary operation • such that the following axioms ...

Theory of Equivariant Machine Learning I - Invited Special Session

... group, equivariant neural networks preserve crucial symmetries in a learning problem. However, designing these neural networks requires ...

Unifying O(3) equivariant neural networks design with tensor ...

... group-equivariant neural networks that preserve these symmetries [5,. 7–10]. In a group-equivariant network, symmetry operations on the ...

Theory for Equivariant Quantum Neural Networks - Inspire HEP

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

Brauer's Group Equivariant Neural Networks - NASA/ADS

... symmetry groups that are missing from the machine learning literature: $O(n)$, the orthogonal group; $SO(n)$, the special orthogonal group; and $Sp(n)$, the ...

Equivariant Neural Operators under arbitrary Lie Groups

The quest for robust and generalizable machine learning models has driven recent interest in exploiting symmetries through equivariant neural networks.

Group Equivariant Subsampling - NIPS

Exploiting cyclic symmetry in convolutional neural networks. In International Conference on Machine Learning, pages 1889–1898. Dieleman, S., Willett, K. W., and ...