Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of the Binomial Crossover on Performance of Evolutionary
  Algorithms   In differential Evolution (DE) algorithms, a crossover operation filtering
variables to be mutated is employed to search the feasible region flexibly,
which leads to its successful applications in a variety of complicated
optimization problems. To investigate whether the crossover operator of DE is
helpful to performance improvement of evolutionary algorithms (EAs), this paper
implements a theoretical analysis for the $(1+1)EA_{C}$ and the $(1+1)EA_{CM}$,
two variants of the $(1+1)EA$ that incorporate the binomial crossover operator.
Generally, the binomial crossover results in the enhancement of exploration and
the dominance of transition matrices under some conditions. As a result, both
the $(1+1)EA_{C}$ and the $(1+1)EA_{CM}$ outperform the $(1+1)EA$ on the
unimodal OneMax problem, but do not always dominate it on the Deceptive
problem. Finally, we perform an exploration analysis by investigating
probabilities to transfer from non-optimal statuses to the optimal status of
the Deceptive problem, and propose adaptive parameter settings to strengthen
the promising function of binomial crossover. It suggests that incorporation of
the binomial crossover could be a feasible strategy to improve the performances
of EAs.

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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin