Geometric deep learning: going beyond euclidean data

MM Bronstein, J Bruna, Y LeCun… - IEEE Signal …, 2017 - ieeexplore.ieee.org
Geometric deep learning is an umbrella term for emerging techniques attempting to
generalize (structured) deep neural models to non-Euclidean domains, such as graphs and …

On invariance and selectivity in representation learning

F Anselmi, L Rosasco, T Poggio - Information and Inference: A …, 2016 - academic.oup.com
We study the problem of learning from data representations that are invariant to
transformations, and at the same time selective, in the sense that two points have the same …

Parametric scattering networks

S Gauthier, B Thérien… - Proceedings of the …, 2022 - openaccess.thecvf.com
The wavelet scattering transform creates geometric invariants and deformation stability. In
multiple signal domains, it has been shown to yield more discriminative representations …

GSNs: generative stochastic networks

G Alain, Y Bengio, L Yao, J Yosinski… - … and Inference: A …, 2016 - academic.oup.com
We introduce a novel training principle for generative probabilistic models that is an
alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSNs) …

Understanding graph neural networks with generalized geometric scattering transforms

M Perlmutter, A Tong, F Gao, G Wolf, M Hirn - SIAM Journal on Mathematics of …, 2023 - SIAM
The scattering transform is a multilayered wavelet-based architecture that acts as a model of
convolutional neural networks. Recently, several works have generalized the scattering …

Continuous generative neural networks

GS Alberti, M Santacesaria, S Sciutto - arXiv preprint arXiv:2205.14627, 2022 - arxiv.org
In this work, we present and study Continuous Generative Neural Networks (CGNNs),
namely, generative models in the continuous setting: the output of a CGNN belongs to an …

Multiresolution equivariant graph variational autoencoder

TS Hy, R Kondor - Machine Learning: Science and Technology, 2023 - iopscience.iop.org
In this paper, we propose Multiresolution Equivariant Graph Variational Autoencoders
(MGVAE), the first hierarchical generative model to learn and generate graphs in a …

[HTML][HTML] Hypergraph wavelet neural networks for 3D object classification

L Nong, J Wang, J Lin, H Qiu, L Zheng, W Zhang - Neurocomputing, 2021 - Elsevier
Recently, hypergraph learning has shown great potential in a variety of classification tasks.
However, existing hypergraph neural networks lack flexibility in modeling and extracting …

Stochastic deep networks

G De Bie, G Peyré, M Cuturi - International Conference on …, 2019 - proceedings.mlr.press
Abstract Machine learning is increasingly targeting areas where input data cannot be
accurately described by a single vector, but can be modeled instead using the more flexible …

Wavelet regularization benefits adversarial training

J Yan, H Yin, Z Zhao, W Ge, H Zhang, G Rigoll - Information Sciences, 2023 - Elsevier
Adversarial training methods are frequently-used empirical defense methods against
adversarial examples. While many regularization techniques demonstrate effectiveness …