Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Bayesian Computation via Population Monte Carlo and
  Classification   Approximate Bayesian computation (ABC) methods can be used to sample from
posterior distributions when the likelihood function is unavailable or
intractable, as is often the case in biological systems. ABC methods suffer
from inefficient particle proposals in high dimensions, and subjectivity in the
choice of summary statistics, discrepancy measure, and error tolerance.
Sequential Monte Carlo (SMC) methods have been combined with ABC to improve the
efficiency of particle proposals, but suffer from subjectivity and require many
simulations from the likelihood function. Likelihood-Free Inference by Ratio
Estimation (LFIRE) leverages classification to estimate the posterior density
directly but does not explore the parameter space efficiently. This work
proposes a classification approach that approximates population Monte Carlo
(PMC), where model class probabilities from classification are used to update
particle weights. This approach, called Classification-PMC, blends adaptive
proposals and classification, efficiently producing samples from the posterior
without subjectivity. We show through a simulation study that
Classification-PMC outperforms two state-of-the-art methods: ratio estimation
and SMC ABC when it is computationally difficult to simulate from the
likelihood.

7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess