Self-supervised continual graph learning in adaptive riemannian spaces
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 …
the graph data with different tasks come sequentially. Despite the success of prior works, it …
Riemannian residual neural networks
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 …
operate over data that lie on Riemannian manifolds. Such networks are often necessary to …
Motif-aware riemannian graph neural network with generative-contrastive learning
Graphs are typical non-Euclidean data of complex structures. Recently, Riemannian graph
representation learning emerges as an exciting alternative to the traditional Euclidean ones …
representation learning emerges as an exciting alternative to the traditional Euclidean ones …
[PDF][PDF] CONGREGATE: Contrastive Graph Clustering in Curvature Spaces.
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 …
with the deep learning methods in recent years. Nevertheless, we observe that several …
A self-supervised mixed-curvature graph neural network
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 …
existing methods ignore the complexity of the graph structures and restrict graphs in a single …
Latent graph inference using product manifolds
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 …
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
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 …
popular Affine-Invariant (AI) geometry for Riemannian optimization on the symmetric positive …
Small transformers compute universal metric embeddings
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 …
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 …
to find the maximum separable decision subspace. Traditional Euclidean-based methods …
Heterogeneous manifolds for curvature-aware graph embedding
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 …
continuous space, are used in a broad range of Graph ML applications. The quality of such …