Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology Inference for Multi-agent Cooperation under Unmeasurable Latent
  Input   Topology inference is a crucial problem for cooperative control in
multi-agent systems. Different from most prior works, this paper is dedicated
to inferring the directed network topology from the observations that consist
of a single, noisy and finite time-series system trajectory, where the
cooperation dynamics is stimulated with the initial network state and the
unmeasurable latent input. The unmeasurable latent input refers to intrinsic
system signal and extrinsic environment interference. Considering the
time-invariant/varying nature of the input, we propose two-layer
optimization-based and iterative estimation based topology inference algorithms
(TO-TIA and IE-TIA), respectively. TO-TIA allows us to capture the separability
of global agent state and eliminates the unknown influence of time-invariant
input on system dynamics. IE-TIA further exploits the identifiability and
estimability of more general time-varying input and provides an asymptotic
solution with desired convergence properties, with higher computation cost
compared with TO-TIA. Our novel algorithms relax the dependence of observation
scale and leverage the empirical risk reformulation to improve the inference
accuracy in terms of the topology structure and edge weight. Comprehensive
theoretical analysis and simulations for various topologies are provided to
illustrate the inference feasibility and the performance of the proposed
algorithms.

33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas