Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Robust Asymmetric Kernel Function for Bayesian Optimization, with
  Application to Image Defect Detection in Manufacturing Systems   Some response surface functions in complex engineering systems are usually
highly nonlinear, unformed, and expensive-to-evaluate. To tackle this
challenge, Bayesian optimization, which conducts sequential design via a
posterior distribution over the objective function, is a critical method used
to find the global optimum of black-box functions. Kernel functions play an
important role in shaping the posterior distribution of the estimated function.
The widely used kernel function, e.g., radial basis function (RBF), is very
vulnerable and susceptible to outliers; the existence of outliers is causing
its Gaussian process surrogate model to be sporadic. In this paper, we propose
a robust kernel function, Asymmetric Elastic Net Radial Basis Function
(AEN-RBF). Its validity as a kernel function and computational complexity are
evaluated. When compared to the baseline RBF kernel, we prove theoretically
that AEN-RBF can realize smaller mean squared prediction error under mild
conditions. The proposed AEN-RBF kernel function can also realize faster
convergence to the global optimum. We also show that the AEN-RBF kernel
function is less sensitive to outliers, and hence improves the robustness of
the corresponding Bayesian optimization with Gaussian processes. Through
extensive evaluations carried out on synthetic and real-world optimization
problems, we show that AEN-RBF outperforms existing benchmark kernel functions.

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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph