Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contingent derivatives and regularization for noncoercive inverse
  problems   We study the inverse problem of parameter identification in non-coercive
variational problems that commonly appear in applied models. We examine the
differentiability of the set-valued parameter-to-solution map by using the
first-order and the second-order contingent derivatives. We explore the inverse
problem by using the output least-squares and the modified output least-squares
objectives. By regularizing the non-coercive variational problem, we obtain a
single-valued regularized parameter-to-solution map and investigate its
smoothness and boundedness. We also consider optimization problems using the
output least-squares and the modified output least-squares objectives for the
regularized variational problem. We give a complete convergence analysis
showing that for the output least-squares and the modified output
least-squares, the regularized minimization problems approximate the original
optimization problems suitably. We also provide the first-order and the
second-order adjoint method for the computation of the first-order and the
second-order derivatives of the output least-squares objective. We provide
discrete formulas for the gradient and the Hessian calculation and present
numerical results.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th