Self-supervised continual graph learning in adaptive riemannian spaces

L Sun, J Ye, H Peng, F Wang, SY Philip - Proceedings of the AAAI …, 2023 - ojs.aaai.org
Continual graph learning routinely finds its role in a variety of real-world applications where
the graph data with different tasks come sequentially. Despite the success of prior works, it …

Riemannian residual neural networks

I Katsman, E Chen, S Holalkere… - Advances in …, 2024 - proceedings.neurips.cc
Recent methods in geometric deep learning have introduced various neural networks to
operate over data that lie on Riemannian manifolds. Such networks are often necessary to …

Motif-aware riemannian graph neural network with generative-contrastive learning

L Sun, Z Huang, Z Wang, F Wang, H Peng… - Proceedings of the AAAI …, 2024 - ojs.aaai.org
Graphs are typical non-Euclidean data of complex structures. Recently, Riemannian graph
representation learning emerges as an exciting alternative to the traditional Euclidean ones …

[PDF][PDF] CONGREGATE: Contrastive Graph Clustering in Curvature Spaces.

L Sun, F Wang, J Ye, H Peng, SY Philip - IJCAI, 2023 - ijcai.org
Graph clustering is a longstanding research topic, and has achieved remarkable success
with the deep learning methods in recent years. Nevertheless, we observe that several …

A self-supervised mixed-curvature graph neural network

L Sun, Z Zhang, J Ye, H Peng, J Zhang, S Su… - Proceedings of the …, 2022 - ojs.aaai.org
Graph representation learning received increasing attentions in recent years. Most of the
existing methods ignore the complexity of the graph structures and restrict graphs in a single …

Latent graph inference using product manifolds

HS de Ocáriz Borde, A Kazi, F Barbero… - … Conference on Learning …, 2023 - openreview.net
Graph Neural Networks usually rely on the assumption that the graph topology is available
to the network as well as optimal for the downstream task. Latent graph inference allows …

On Riemannian optimization over positive definite matrices with the Bures-Wasserstein geometry

A Han, B Mishra, PK Jawanpuria… - Advances in Neural …, 2021 - proceedings.neurips.cc
In this paper, we comparatively analyze the Bures-Wasserstein (BW) geometry with the
popular Affine-Invariant (AI) geometry for Riemannian optimization on the symmetric positive …

Small transformers compute universal metric embeddings

A Kratsios, V Debarnot, I Dokmanić - Journal of Machine Learning …, 2023 - jmlr.org
We study representations of data from an arbitrary metric space χ in the space of univariate
Gaussian mixtures equipped with a transport metric (Delon and Desolneux 2020). We prove …

Discriminative subspace learning via optimization on Riemannian manifold

W Yin, Z Ma, Q Liu - Pattern Recognition, 2023 - Elsevier
Discriminative subspace learning is an important problem in machine learning, which aims
to find the maximum separable decision subspace. Traditional Euclidean-based methods …

Heterogeneous manifolds for curvature-aware graph embedding

F Di Giovanni, G Luise, M Bronstein - arXiv preprint arXiv:2202.01185, 2022 - arxiv.org
Graph embeddings, wherein the nodes of the graph are represented by points in a
continuous space, are used in a broad range of Graph ML applications. The quality of such …