Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-order joint embedding for multi-level link prediction   Link prediction infers potential links from observed networks, and is one of
the essential problems in network analyses. In contrast to traditional graph
representation modeling which only predicts two-way pairwise relations, we
propose a novel tensor-based joint network embedding approach on simultaneously
encoding pairwise links and hyperlinks onto a latent space, which captures the
dependency between pairwise and multi-way links in inferring potential
unobserved hyperlinks. The major advantage of the proposed embedding procedure
is that it incorporates both the pairwise relationships and subgroup-wise
structure among nodes to capture richer network information. In addition, the
proposed method introduces a hierarchical dependency among links to infer
potential hyperlinks, and leads to better link prediction. In theory we
establish the estimation consistency for the proposed embedding approach, and
provide a faster convergence rate compared to link prediction utilizing
pairwise links or hyperlinks only. Numerical studies on both simulation
settings and Facebook ego-networks indicate that the proposed method improves
both hyperlink and pairwise link prediction accuracy compared to existing link
prediction algorithms.

28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin