Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum likelihood estimation for randomized shortest paths with
  trajectory data   Randomized shortest paths (RSP) are a tool developed in recent years for
different graph and network analysis applications, such as modelling movement
or flow in networks. In essence, the RSP framework considers the
temperature-dependent Gibbs-Boltzmann distribution over paths in the network.
At low temperatures, the distribution focuses solely on the shortest or
least-cost paths, while with increasing temperature, the distribution spreads
over random walks on the network. Many relevant quantities can be computed
conveniently from this distribution, and these often generalize traditional
network measures in a sensible way. However, when modelling real phenomena with
RSPs, one needs a principled way of estimating the parameters from data. In
this work, we develop methods for computing the maximum likelihood estimate of
the model parameters, with focus on the temperature parameter, when modelling
phenomena based on movement, flow, or spreading processes. We test the validity
of the derived methods with trajectories generated on artificial networks as
well as with real data on the movement of wild reindeer in a geographic
landscape, used for estimating the degree of randomness in the movement of the
animals. These examples demonstrate the attractiveness of the RSP framework as
a generic model to be used in diverse applications.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat