Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic Graph Attention Network   Graph neural network (GNN) has shown superior performance in dealing with
graphs, which has attracted considerable research attention recently. However,
most of the existing GNN models are primarily designed for graphs in Euclidean
spaces. Recent research has proven that the graph data exhibits non-Euclidean
latent anatomy. Unfortunately, there was rarely study of GNN in non-Euclidean
settings so far. To bridge this gap, in this paper, we study the GNN with
attention mechanism in hyperbolic spaces at the first attempt. The research of
hyperbolic GNN has some unique challenges: since the hyperbolic spaces are not
vector spaces, the vector operations (e.g., vector addition, subtraction, and
scalar multiplication) cannot be carried. To tackle this problem, we employ the
gyrovector spaces, which provide an elegant algebraic formalism for hyperbolic
geometry, to transform the features in a graph; and then we propose the
hyperbolic proximity based attention mechanism to aggregate the features.
Moreover, as mathematical operations in hyperbolic spaces could be more
complicated than those in Euclidean spaces, we further devise a novel
acceleration strategy using logarithmic and exponential mappings to improve the
efficiency of our proposed model. The comprehensive experimental results on
four real-world datasets demonstrate the performance of our proposed hyperbolic
graph attention network model, by comparisons with other state-of-the-art
baseline methods.

21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int