Topological pooling on graphs

Y Chen, YR Gel - Proceedings of the AAAI Conference on Artificial …, 2023 - ojs.aaai.org
Graph neural networks (GNNs) have demonstrated a significant success in various graph
learning tasks, from graph classification to anomaly detection. There recently has emerged a …

Autoencoders for a manifold learning problem with a jacobian rank constraint

R Takhanov, YS Abylkairov, M Tezekbayev - Pattern Recognition, 2023 - Elsevier
We formulate the manifold learning problem as the problem of finding an operator that maps
any point to a close neighbor that lies on a “hidden” k-dimensional manifold. We call this …

Geomca: Geometric evaluation of data representations

P Poklukar, A Varava, D Kragic - … Conference on Machine …, 2021 - proceedings.mlr.press
Evaluating the quality of learned representations without relying on a downstream task
remains one of the challenges in representation learning. In this work, we present Geometric …

InvMap and Witness Simplicial Variational Auto-Encoders

AA Medbouhi, V Polianskii, A Varava… - Machine Learning and …, 2023 - mdpi.com
Variational auto-encoders (VAEs) are deep generative models used for unsupervised
learning, however their standard version is not topology-aware in practice since the data …

When Witnesses Defend: A Witness Graph Topological Layer for Adversarial Graph Learning

NA Arafat, D Basu, Y Gel, Y Chen - arXiv preprint arXiv:2409.14161, 2024 - arxiv.org
Capitalizing on the intuitive premise that shape characteristics are more robust to
perturbations, we bridge adversarial graph learning with the emerging tools from …

Local distance preserving auto-encoders using continuous k-nearest neighbours graphs

N Chen, P van der Smagt, B Cseke - arXiv preprint arXiv:2206.05909, 2022 - arxiv.org
Auto-encoder models that preserve similarities in the data are a popular tool in
representation learning. In this paper we introduce several auto-encoder models that …

Towards Topology-Aware Variational Auto-Encoders: From InvMap-VAE to Witness Simplicial VAE

AA Medbouhi - 2022 - diva-portal.org
Abstract Variational Auto-Encoders (VAEs) are one of the most famous deep generative
models. After showing that standard VAEs may not preserve the topology, that is the shape …

[PDF][PDF] Local distance preserving auto-encoders using Continuous k-Nearest Neighbours graphs

NCP van der Smagt, B Cseke - arXiv preprint arXiv:2206.05909, 2022 - researchgate.net
Auto-encoder models that preserve similarities in the data are a popular tool in
representation learning. In this paper we introduce several auto-encoder models that …