Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesic distance on optimally regularized functional connectomes
  uncovers individual fingerprints   Background: Functional connectomes (FCs), have been shown to provide a
reproducible individual fingerprint, which has opened the possibility of
personalized medicine for neuro/psychiatric disorders. Thus, developing
accurate ways to compare FCs is essential to establish associations with
behavior and/or cognition at the individual-level.
  Methods: Canonically, FCs are compared using Pearson's correlation
coefficient of the entire functional connectivity profiles. Recently, it has
been proposed that the use of geodesic distance is a more accurate way of
comparing functional connectomes, one which reflects the underlying
non-Euclidean geometry of the data. Computing geodesic distance requires FCs to
be positive-definite and hence invertible matrices. As this requirement depends
on the fMRI scanning length and the parcellation used, it is not always
attainable and sometimes a regularization procedure is required.
  Results: In the present work, we show that regularization is not only an
algebraic operation for making FCs invertible, but also that an optimal
magnitude of regularization leads to systematically higher fingerprints. We
also show evidence that optimal regularization is dataset-dependent, and varies
as a function of condition, parcellation, scanning length, and the number of
frames used to compute the FCs.
  Discussion: We demonstrate that a universally fixed regularization does not
fully uncover the potential of geodesic distance on individual fingerprinting,
and indeed could severely diminish it. Thus, an optimal regularization must be
estimated on each dataset to uncover the most differentiable across-subject and
reproducible within-subject geodesic distances between FCs. The resulting
pairwise geodesic distances at the optimal regularization level constitute a
very reliable quantification of differences between subjects.

15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con