Convolutional filters and neural networks with non commutative algebras

A Parada-Mayorga, L Butler… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this paper we introduce and study the algebraic generalization of non commutative
convolutional neural networks. We leverage the theory of algebraic signal processing to …

Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups

Z Shumaylov, P Zaika, J Rowbottom, F Sherry… - arXiv preprint arXiv …, 2024 - arxiv.org
The quest for robust and generalizable machine learning models has driven recent interest
in exploiting symmetries through equivariant neural networks. In the context of PDE solvers …

Convolutional Filtering with RKHS Algebras

A Parada-Mayorga, L Agorio, A Ribeiro… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, we develop a generalized theory of convolutional signal processing and
neural networks for Reproducing Kernel Hilbert Spaces (RKHS). Leveraging the theory of …

Non Commutative Convolutional Signal Models in Neural Networks: Stability to Small Deformations

A Parada-Mayorga, L Butler… - ICASSP 2024-2024 IEEE …, 2024 - ieeexplore.ieee.org
In this paper we discuss the results recently published in [1] about algebraic signal models
(ASMs) based on non commutative algebras and their use in convolutional neural networks …

A multi-level text feature enhancement super-resolution network via group convolution and wavelet transform

Y Xiao, X Tian, Y Guo, Y Xiao… - Journal of Electronic …, 2024 - spiedigitallibrary.org
Scene text image super-resolution aims to provide high-resolution and readable text images
to support scene text recognition. Although existing methods based on deep learning have …