Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-Dimensional Phase Retrieval: Regularization, Box Relaxation and
  Uniqueness   Recovering a signal from its Fourier magnitude is referred to as phase
retrieval, which occurs in different fields of engineering and applied physics.
This paper gives a new characterization of the phase retrieval problem.
Particularly useful is the analysis revealing that the common gradient-based
regularization does not restrict the set of solutions to a smaller set.
Specifically focusing on binary signals, we show that a box relaxation is
equivalent to the binary constraint for Fourier-types of phase retrieval. We
further prove that binary signals can be recovered uniquely up to trivial
ambiguities under certain conditions. Finally, we use the characterization
theorem to develop an efficient denoising algorithm.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio