Smoothing inertial projection neural network for minimization L in sparse signal reconstruction.

Neural Netw 2018 Mar 20;99:31-41. Epub 2017 Dec 20.

Key laboratory of Machine Perception and Children's Intelligence Development, Chongqing University of Education, Chongqing, 400067, China.

In this paper, we investigate a more general sparse signal recovery minimization model and a smoothing neural network optimal method for compress sensing problem, where the objective function is a L minimization model which includes nonsmooth, nonconvex, and non-Lipschitz quasi-norm L norms 1≥p>0 and nonsmooth L norms 2≥p>1, and its feasible set is a closed convex subset of R. Firstly, under the restricted isometry property (RIP) condition, the uniqueness of solution for the minimization model with a given sparsity s is obtained through the theoretical analysis. With a mild condition, we get that the larger of the q, the more effective of the sparse recovery model under sensing matrix satisfies RIP conditions at fixed p. Secondly, using a smoothing approximate method, we propose the smoothing inertial projection neural network (SIPNN) algorithm for solving the proposed general model. Under certain conditions, the proposed algorithm can converge to a stationary point. Finally, convergence behavior and successful recover performance experiments and a comparison experiment confirm the effectiveness of the proposed SIPNN algorithm.

Download full-text PDF

Source
http://dx.doi.org/10.1016/j.neunet.2017.12.008DOI Listing
March 2018
9 Reads

Publication Analysis

Top Keywords

neural network
12
minimization model
12
projection neural
8
sparse signal
8
sipnn algorithm
8
inertial projection
8
smoothing inertial
8
model
5
sparse recovery
4
larger effective
4
condition larger
4
recovery model
4
effective sparse
4
model sensing
4
satisfies rip
4
rip conditions
4
matrix satisfies
4
mild condition
4
conditions fixed
4
sensing matrix
4

Similar Publications