Functional properties of pde-based group equivariant convolutional neural networks

G Pai, G Bellaard, BMN Smets, R Duits - International Conference on …, 2023 - Springer
We build on the recently introduced PDE-G-CNN framework, which proposed the concept of
non-linear morphological convolutions that are motivated by solving HJB-PDEs on lifted …

Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning

R Basheer, D Mishra - arXiv preprint arXiv:2409.07327, 2024 - arxiv.org
Euclidean deep learning is often inadequate for addressing real-world signals where the
representation space is irregular and curved with complex topologies. Interpreting the …

[PDF][PDF] Axiomatic PDE-G-CNN on SE (2)

S Sakata - 2023 - bellaard.com
The field of machine learning is currently undergoing rapid development, with applications
in various areas, including image processing. In particular, Convolutional Neural Networks …