5 citations · 10 across the 3 of their papers we have counts for
4 papers
Equivariant non-linear maps for neural networks on homogeneous spaces
Elias Nyholm, Oscar Carlsson, Maurice Weiler +1
This paper presents a novel framework for non-linear equivariant neural network layers on homogeneous spaces. The seminal work of Cohen et al. on equivariant -CNNs on homogeneou…
HEAL-SWIN: A Vision Transformer On The Sphere
Oscar Carlsson, Jan E. Gerken, Hampus Linander +4
High-resolution wide-angle fisheye images are becoming more and more important for robotics applications such as autonomous driving. However, using ordinary convolutional neural ne…
Equivariance versus Augmentation for Spherical Images
Jan E. Gerken, Oscar Carlsson, Hampus Linander +3
We analyze the role of rotational equivariance in convolutional neural networks (CNNs) applied to spherical images. We compare the performance of the group equivariant networks kno…
Geometric Deep Learning and Equivariant Neural Networks
Jan E. Gerken, Jimmy Aronsson, Oscar Carlsson +4
We survey the mathematical foundations of geometric deep learning, focusing on group equivariant and gauge equivariant neural networks. We develop gauge equivariant convolutional n…