Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Submodular Optimization for Consensus Networks with Noise-Corrupted
  Leaders   We consider the leader selection problem in a network with consensus dynamics
where both leader and follower agents are subject to stochastic external
disturbances. The performance of the system is quantified by the total
steady-state variance of the node states, and the goal is to identify the set
of leaders that minimizes this variance. We first show that this performance
measure can be expressed as a submodular set function over the nodes in the
network. We then use this result to analyze the performance of two greedy,
polynomial-time algorithms for leader selection, showing that the leader sets
produced by the greedy algorithms are within provable bounds of optimal.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
18
The categories of this paper are: econ
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con