Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Two-phase Framework with a B\'{e}zier Simplex-based Interpolation
  Method for Computationally Expensive Multi-objective Optimization   This paper proposes a two-phase framework with a B\'{e}zier simplex-based
interpolation method (TPB) for computationally expensive multi-objective
optimization. The first phase in TPB aims to approximate a few Pareto optimal
solutions by optimizing a sequence of single-objective scalar problems. The
first phase in TPB can fully exploit a state-of-the-art single-objective
derivative-free optimizer. The second phase in TPB utilizes a B\'{e}zier
simplex model to interpolate the solutions obtained in the first phase. The
second phase in TPB fully exploits the fact that a B\'{e}zier simplex model can
approximate the Pareto optimal solution set by exploiting its simplex structure
when a given problem is simplicial. We investigate the performance of TPB on
the 55 bi-objective BBOB problems. The results show that TPB performs
significantly better than HMO-CMA-ES and some state-of-the-art meta-model-based
optimizers.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom