Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Hypergraph Clustering using Capacity Releasing Diffusion   Local graph clustering is an important machine learning task that aims to
find a well-connected cluster near a set of seed nodes. Recent results have
revealed that incorporating higher order information significantly enhances the
results of graph clustering techniques. The majority of existing research in
this area focuses on spectral graph theory-based techniques. However, an
alternative perspective on local graph clustering arises from using max-flow
and min-cut on the objectives, which offer distinctly different guarantees. For
instance, a new method called capacity releasing diffusion (CRD) was recently
proposed and shown to preserve local structure around the seeds better than
spectral methods. The method was also the first local clustering technique that
is not subject to the quadratic Cheeger inequality by assuming a good cluster
near the seed nodes. In this paper, we propose a local hypergraph clustering
technique called hypergraph CRD (HG-CRD) by extending the CRD process to
cluster based on higher order patterns, encoded as hyperedges of a hypergraph.
Moreover, we theoretically show that HG-CRD gives results about a quantity
called motif conductance, rather than a biased version used in previous
experiments. Experimental results on synthetic datasets and real world graphs
show that HG-CRD enhances the clustering quality.

32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an