Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric estimation of complex mixed models based on meta-model
  approach   Complex biological processes are usually experimented along time among a
collection of individuals. Longitudinal data are then available and the
statistical challenge is to better understand the underlying biological
mechanisms. The standard statistical approach is mixed-effects model, with
regression functions that are now highly-developed to describe precisely the
biological processes (solutions of multi-dimensional ordinary differential
equations or of partial differential equation). When there is no analytical
solution, a classical estimation approach relies on the coupling of a
stochastic version of the EM algorithm (SAEM) with a MCMC algorithm. This
procedure needs many evaluations of the regression function which is clearly
prohibitive when a time-consuming solver is used for computing it. In this work
a meta-model relying on a Gaussian process emulator is proposed to replace this
regression function. The new source of uncertainty due to this approximation
can be incorporated in the model which leads to what is called a mixed
meta-model. A control on the distance between the maximum likelihood estimates
in this mixed meta-model and the maximum likelihood estimates obtained with the
exact mixed model is guaranteed. Eventually, numerical simulations are
performed to illustrate the efficiency of this approach.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci