Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A kernel- and optimal transport- based test of independence between
  covariates and right-censored lifetimes   We propose a nonparametric test of independence, termed optHSIC, between a
covariate and a right-censored lifetime. Because the presence of censoring
creates a challenge in applying the standard permutation-based testing
approaches, we use optimal transport to transform the censored dataset into an
uncensored one, while preserving the relevant dependencies. We then apply a
permutation test using the kernel-based dependence measure as a statistic to
the transformed dataset. The type 1 error is proven to be correct in the case
where censoring is independent of the covariate. Experiments indicate that
optHSIC has power against a much wider class of alternatives than Cox
proportional hazards regression and that it has the correct type 1 control even
in the challenging cases where censoring strongly depends on the covariate.

12
The categories of this paper are: nucl-th
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci