Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Performance Guarantees for Schatten-$p$ Quasi-Norm Minimization in
  Recovery of Low-Rank Matrices   We address some theoretical guarantees for Schatten-$p$ quasi-norm
minimization ($p \in (0,1]$) in recovering low-rank matrices from compressed
linear measurements. Firstly, using null space properties of the measurement
operator, we provide a sufficient condition for exact recovery of low-rank
matrices. This condition guarantees unique recovery of matrices of ranks equal
or larger than what is guaranteed by nuclear norm minimization. Secondly, this
sufficient condition leads to a theorem proving that all restricted isometry
property (RIP) based sufficient conditions for $\ell_p$ quasi-norm minimization
generalize to Schatten-$p$ quasi-norm minimization. Based on this theorem, we
provide a few RIP-based recovery conditions.

34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin