Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiobjective Test Problems with Degenerate Pareto Fronts   In multiobjective optimization, a set of scalable test problems with a
variety of features allows researchers to investigate and evaluate abilities of
different optimization algorithms, and thus can help them to design and develop
more effective and efficient approaches. Existing, commonly-used test problem
suites are mainly focused on the situations where all the objectives are
conflicting with each other. However, in some many-objective optimization
problems, there may be unexpected characteristics among objectives, e.g.,
redundancy. This leads to a degenerate problem. In this paper, we
systematically study degenerate problems. We abstract three generic
characteristics of degenerate problems, and on the basis of these
characteristics we present a set of test problems, in order to support the
investigation of multiobjective search algorithms on problems with redundant
objectives. To assess the proposed test problems, ten representative
multiobjective evolutionary algorithms are tested. The results indicate that
none of the tested algorithms is able to effectively solve these proposed
problems, calling for the need of developing new approaches to addressing
degenerate multi-objective problems.

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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex