Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting sparse cone alternatives for Gaussian random fields, with an
  application to fMRI   Our problem is to find a good approximation to the P-value of the maximum of
a random field of test statistics for a cone alternative at each point in a
sample of Gaussian random fields. These test statistics have been proposed in
the neuroscience literature for the analysis of fMRI data allowing for unknown
delay in the hemodynamic response. However the null distribution of the maximum
of this 3D random field of test statistics, and hence the threshold used to
detect brain activation, was unsolved. To find a solution, we approximate the
P-value by the expected Euler characteristic (EC) of the excursion set of the
test statistic random field. Our main result is the required EC density,
derived using the Gaussian Kinematic Formula.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin