Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-experiment parameter identifiability of ODEs and model theory   Structural identifiability is a property of an ODE model with parameters that
allows for the parameters to be determined from continuous noise-free data.
This is a natural prerequisite for practical identifiability. Conducting
multiple independent experiments could make more parameters or functions of
parameters identifiable, which is a desirable property to have. How many
experiments are sufficient? In the present paper, we provide an algorithm to
determine the exact number of experiments for multi-experiment local
identifiability and obtain an upper bound that is off at most by one for the
number of experiments for multi-experiment global identifiability.
  Interestingly, the main theoretical ingredient of the algorithm has been
discovered and proved using model theory (in the sense of mathematical logic).
We hope that this unexpected connection will stimulate interactions between
applied algebra and model theory, and we provide a short introduction to model
theory in the context of parameter identifiability. As another related
application of model theory in this area, we construct a nonlinear ODE system
with one output such that single-experiment and multiple-experiment
identifiability are different for the system. This contrasts with recent
results about single-output linear systems.
  We also present a Monte Carlo randomized version of the algorithm with a
polynomial arithmetic complexity. Implementation of the algorithm is provided
and its performance is demonstrated on several examples. The source code is
available at https://github.com/pogudingleb/ExperimentsBound.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con