Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient iterative thresholding algorithms with functional feedbacks
  and convergence analysis   An accelerated class of adaptive scheme of iterative thresholding algorithms
is studied analytically and empirically. They are based on the feedback
mechanism of the null space tuning techniques (NST+HT+FB). The main
contribution of this article is the accelerated convergence analysis and proofs
with a variable/adaptive index selection and different feedback principles at
each iteration. These convergence analysis require no longer a priori sparsity
information $s$ of a signal. %key theory in this paper is the concept that the
number of indices selected at each iteration should be considered in order to
speed up the convergence. It is shown that uniform recovery of all $s$-sparse
signals from given linear measurements can be achieved under reasonable
(preconditioned) restricted isometry conditions. Accelerated convergence rate
and improved convergence conditions are obtained by selecting an appropriate
size of the index support per iteration. The theoretical findings are
sufficiently demonstrated and confirmed by extensive numerical experiments. It
is also observed that the proposed algorithms have a clearly advantageous
balance of efficiency, adaptivity and accuracy compared with all other
state-of-the-art greedy iterative algorithms.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int