Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structural Invertibility and Optimal Sensor Node Placement for Error and
  Input Reconstruction in Dynamic Systems   Despite recent progress in our understanding of complex dynamic networks, it
remains challenging to devisesufficiently accurate models to observe, control
or predict the state of real systems in biology, economics or other fields. A
largely overlooked fact is that these systems are typically open and receive
unknown inputs from their environment. A further fundamental obstacle are
structural model errors caused by insufficient or inaccurate knowledge about
the quantitative interactions in the real system.
  Here, we show that unknown inputs to open systems and model errors can be
treated under the common framework of invertibility, which is a requirement for
reconstructing these disturbances from output measurements. By exploiting the
fact that invertibility can be decided from the influence graph of the system,
we analyse the relationship between structural network properties and
invertibility under different realistic scenarios. We show that sparsely
connected scale free networks are the most difficult to invert. We introduce a
new sensor node placement algorithm to select a minimum set of measurement
positions in the network required for invertibility. This algorithm facilitates
optimal experimental design for the reconstruction of inputs or model errors
from output measurements. Our results have both fundamental and practical
implications for nonlinear systems analysis, modelling and design.

3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys