Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Neural Fragility: Bounding the Norm of a Rank-One
  Perturbation Matrix   Over 15 million epilepsy patients worldwide do not respond to drugs and
require surgical treatment. Successful surgical treatment requires complete
removal, or disconnection of the epileptogenic zone (EZ), but without a
prospective biomarker of the EZ, surgical success rates vary between 30%-70%.
Neural fragility is a model recently proposed to localize the EZ. Neural
fragility is computed as the l2 norm of a structured rank-one perturbation of
an estimated linear dynamical system. However, an analysis of its numerical
properties have not been explored. We show that neural fragility is a
well-defined model given a good estimator of the linear dynamical system from
data. Specifically, we provide bounds on neural fragility as a function of the
underlying linear system and noise.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin