Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedded discrepancy operators in reduced models of interacting species   In many applications of interacting systems, we are only interested in the
dynamic behavior of a subset of all possible active species. For example, this
is true in combustion models (many transient chemical species are not of
interest in a given reaction) and in epidemiological models (only certain
critical populations are truly consequential). Thus it is common to use greatly
reduced models, in which only the interactions among the species of interest
are retained. However, reduction introduces a model error, or discrepancy,
which typically is not well characterized. In this work, we explore the use of
an embedded and statistically calibrated discrepancy operator to represent
model error. The operator is embedded within the differential equations of the
model, which allows the action of the operator to be interpretable. Moreover,
it is constrained by available physical information, and calibrated over many
scenarios. These qualities of the discrepancy model---interpretability,
physical-consistency, and robustness to different scenarios---are intended to
support reliable predictions under extrapolative conditions.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph