Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty Quantification by Random Measures and Fields   We present a general framework for uncertainty quantification that is a
mosaic of interconnected models. We define global first and second order
structural and correlative sensitivity analyses for random counting measures
acting on risk functionals of input-output maps. These are the ANOVA
decomposition of the intensity measure and the decomposition of the random
measure variance, each into subspaces. Orthogonal random measures furnish
sensitivity distributions. We show that the random counting measure may be used
to construct positive random fields, which admit decompositions of covariance
and sensitivity indices and may be used to represent interacting particle
systems. The first and second order global sensitivity analyses conveyed
through random counting measures elucidate and integrate different notions of
uncertainty quantification, and the global sensitivity analysis of random
fields conveys the proportionate functional contributions to covariance. This
framework complements others when used in conjunction with for instance
algorithmic uncertainty and model selection uncertainty frameworks.

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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci