This article provides an overview of tensors, their properties, and their applications in
statistics. Tensors, also known as multidimensional arrays, are generalizations of matrices to …

Hypergraphs, describing networks where interactions take place among any number of
units, are a natural tool to model many real-world social and biological systems. Here, we …

To date, social network analysis has been largely focused on pairwise interactions. The
study of higher-order interactions, via a hypergraph network, brings in new insights. We …

In this paper, community detection in hypergraphs is explored. Under a generative
hypergraph model called" d-wise hypergraph stochastic block model"(d-hSBM) which …

Spectral clustering is a celebrated algorithm that partitions the objects based on pairwise
similarity information. While this approach has been successfully applied to a variety of …

We study the problem of community detection in a random hypergraph model which we call
the stochastic block model for $ k $-uniform hypergraphs ($ k $-SBM). We investigate the …

This paper investigates fundamental limits of exact recovery in the general-uniform
hypergraph stochastic block model (-HSBM), wherein nodes are partitioned into disjoint …

We consider the community detection problem in sparse random hypergraphs. Angelini et
al. in [6] conjectured the existence of a sharp threshold on model parameters for community …

We study the weak recovery problem on the $ r $-uniform hypergraph stochastic block
model ($ r $-HSBM) with two balanced communities. In HSBM a random graph is …

Community detection in hypergraphs is explored. Under a generative hypergraph model
called “-wise hypergraph stochastic block model”(-), which naturally extends the stochastic …