Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group induced graphical lasso allows for discovery of molecular
  pathways-pathways interactions   Complex systems may contain heterogeneous types of variables that interact in
a multi-level and multi-scale manner. In this context, high-level layers may
considered as groups of variables interacting in lower-level layers. This is
particularly true in biology, where, for example, genes are grouped in pathways
and two types of interactions are present: pathway-pathway interactions and
gene-gene interactions. However, from data it is only possible to measure the
expression of genes while it is impossible to directly measure the activity of
pathways. Nevertheless, the knowledge on the inter-dependence between the
groups and the variables allows for a multi-layer network inference, on both
observed variables and groups, even if no direct information on the latter is
present in the data (hence groups are considered as latent). In this paper, we
propose an extension of the latent graphical lasso method that leverages on the
knowledge of the inter-links between the hidden (groups) and observed layers.
The method exploits the knowledge of group structure that influence the
behaviour of observed variables to retrieve a two layers network. Its efficacy
was tested on synthetic data to check its ability in retrieving the network
structure compared to the ground truth. We present a case study on
Neuroblastoma, which shows how our multi-level inference is relevant in real
contexts to infer biologically meaningful connections.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc