Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A scaled, inexact and adaptive Fast Iterative Soft-Thresholding
  Algorithm for convex image restoration   In this note, we consider a special instance of the scaled, inexact and
adaptive generalised Fast Iterative Soft-Thresholding Algorithm (SAGE-FISTA)
recently proposed in (Rebegoldi, Calatroni, '21) for the efficient solution of
strongly convex composite optimisation problems. In particular, we address here
the sole (non-strongly) convex optimisation scenario, which is frequently
encountered in many imaging applications. The proposed inexact S-FISTA
algorithm shows analogies to the variable metric and inexact version of FISTA
studied in (Bonettini, Rebegoldi, Ruggiero, '19), the main difference being the
use of an adaptive (non-monotone) backtracking strategy allowing for the
automatic adjustment of the algorithmic step-size along the iterations (see
(Scheinberg, Goldfarb, Bai, '14, Calatroni, Chambolle, '19)). A quadratic
convergence result in function values depending on the backtracking parameters
and the upper and lower bounds on the spectrum of the variable metric operators
is given. Experimental results on TV image deblurring problems with Poisson
noise are then reported for numerical validation, showing improved
computational efficiency and precision.

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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph