Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter identifiability and input-output equations   Structural parameter identifiability is a property of a differential model
with parameters that allows for the parameters to be determined from the model
equations in the absence of noise. One of the standard approaches to assessing
this problem is via input-output equations and, in particular, characteristic
sets of differential ideals. The precise relation between identifiability and
input-output identifiability is subtle. The goal of this note is to clarify
this relation. The main results are:
  1) identifiability implies input-output identifiability;
  2) these notions coincide if the model does not have rational first
integrals;
  3) the field of input-output identifiable functions is generated by the
coefficients of a "minimal" characteristic set of the corresponding
differential ideal.
  We expect that some of these facts may be known to the experts in the area,
but we are not aware of any articles in which these facts are stated precisely
and rigorously proved.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: supr-con