Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagnostics for Monte Carlo Algorithms for Models with Intractable
  Normalizing Functions   Models with intractable normalising functions have numerous applications
ranging from network models to image analysis to spatial point processes.
Because the normalising constants are functions of the parameters of interest,
standard Markov chain Monte Carlo cannot be used for Bayesian inference for
these models. A number of algorithms have been developed for such models. Some
have the posterior distribution as the asymptotic distribution. Other
"asymptotically inexact" algorithms do not possess this property. There is
limited guidance for evaluating approximations based on these algorithms, and
hence it is very hard to tune them. We propose two new diagnostics that address
these problems for intractable normalising function models. Our first
diagnostic, inspired by the second Bartlett identity, is, in principle,
applicable in most any likelihood-based context where misspecification is of
concern. We develop an approximate version that is applicable to intractable
normalising function problems. Our second diagnostic is a Monte Carlo
approximation to a kernel Stein discrepancy-based diagnostic introduced by
Gorham and Mackey (2017). We provide theoretical justification for our methods
and apply them to several algorithms in the context of challenging simulated
and real data examples including an Ising model, an exponential random graph
model, and a Markov point process.

8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th