Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrated Zeroth-Order Unrolled Deep Networks for Accelerated MRI   Recently, model-driven deep learning unrolls a certain iterative algorithm of
a regularization model into a cascade network by replacing the first-order
information (i.e., (sub)gradient or proximal operator) of the regularizer with
a network module, which appears more explainable and predictable compared to
common data-driven networks. Conversely, in theory, there is not necessarily
such a functional regularizer whose first-order information matches the
replaced network module, which means the network output may not be covered by
the original regularization model. Moreover, up to now, there is also no theory
to guarantee the global convergence and robustness (regularity) of unrolled
networks under realistic assumptions. To bridge this gap, this paper propose to
present a safeguarded methodology on network unrolling. Specifically, focusing
on accelerated MRI, we unroll a zeroth-order algorithm, of which the network
module represents the regularizer itself, so that the network output can be
still covered by the regularization model. Furthermore, inspired by the ideal
of deep equilibrium models, before backpropagating, we carry out the unrolled
iterative network to converge to a fixed point to ensure the convergence. In
case the measurement data contains noise, we prove that the proposed network is
robust against noisy interference. Finally, numerical experiments show that the
proposed network consistently outperforms the state-of-the-art MRI
reconstruction methods including traditional regularization methods and other
deep learning methods.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int