Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low-Rank Matrix Completion for Topological Interference Management by
  Riemannian Pursuit   In this paper, we present a flexible low-rank matrix completion (LRMC)
approach for topological interference management (TIM) in the partially
connected K-user interference channel. No channel state information (CSI) is
required at the transmitters except the network topology information. The
previous attempt on the TIM problem is mainly based on its equivalence to the
index coding problem, but so far only a few index coding problems have been
solved. In contrast, in this paper, we present an algorithmic approach to
investigate the achievable degrees-of-freedom (DoFs) by recasting the TIM
problem as an LRMC problem. Unfortunately, the resulting LRMC problem is known
to be NP-hard, and the main contribution of this paper is to propose a
Riemannian pursuit (RP) framework to detect the rank of the matrix to be
recovered by iteratively increasing the rank. This algorithm solves a sequence
of fixed-rank matrix completion problems. To address the convergence issues in
the existing fixed-rank optimization methods, the quotient manifold geometry of
the search space of fixed-rank matrices is exploited via Riemannian
optimization. By further exploiting the structure of the low-rank matrix
varieties, i.e., the closure of the set of fixed- rank matrices, we develop an
efficient rank increasing strategy to find good initial points in the procedure
of rank pursuit. Simulation results demonstrate that the proposed RP algorithm
achieves a faster convergence rate and higher achievable DoFs for the TIM
problem compared with the state-of-the-art methods.

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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int