Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multilevel Graph Matching Networks for Deep Graph Similarity Learning   While the celebrated graph neural networks yield effective representations
for individual nodes of a graph, there has been relatively less success in
extending to the task of graph similarity learning. Recent work on graph
similarity learning has considered either global-level graph-graph interactions
or low-level node-node interactions, however ignoring the rich cross-level
interactions (e.g., between each node of one graph and the other whole graph).
In this paper, we propose a multi-level graph matching network (MGMN) framework
for computing the graph similarity between any pair of graph-structured objects
in an end-to-end fashion. In particular, the proposed MGMN consists of a
node-graph matching network for effectively learning cross-level interactions
between each node of one graph and the other whole graph, and a siamese graph
neural network to learn global-level interactions between two input graphs.
Furthermore, to compensate for the lack of standard benchmark datasets, we have
created and collected a set of datasets for both the graph-graph classification
and graph-graph regression tasks with different sizes in order to evaluate the
effectiveness and robustness of our models. Comprehensive experiments
demonstrate that MGMN consistently outperforms state-of-the-art baseline models
on both the graph-graph classification and graph-graph regression tasks.
Compared with previous work, MGMN also exhibits stronger robustness as the
sizes of the two input graphs increase.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio