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Nuclear norm and indicator function model for matrix completion
-
Juan Geng
und
Xiuyu Wang
Veröffentlicht/Copyright:
21. Mai 2015
Abstract
In the matrix completion problem, most methods to solve the nuclear norm model are relaxing it to the nuclear norm regularized least squares problem. In this paper, we propose a new unconstraint model for matrix completion problem based on nuclear norm and indicator function and design a proximal point algorithm (PPA-IF) to solve it. Then the convergence of our algorithm is established strictly. Finally, we report numerical results for solving noiseless and noisy matrix completion problems and image reconstruction.
MSC: 90
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11271367
Received: 2013-12-10
Revised: 2014-6-11
Accepted: 2015-4-5
Published Online: 2015-5-21
Published in Print: 2016-2-1
© 2016 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Preface
- Lq-regularization for the inverse Robin problem
- Hybrid Newton-type methods for reconstructing sound-soft obstacles from a single far field
- Numerical simulation and parameters inversion for non-symmetric two-sided fractional advection-dispersion equations
- A coupled model of partial differential equations for uranium ores heap leaching and its parameters identification
- An optimal filtering method for a time-fractional inverse advection-dispersion problem
- Simultaneous determination of thickness, thermal conductivity and porosity in textile material design
- Nuclear norm and indicator function model for matrix completion
- Calibrating the model parameters in pricing using the trust region method
- An adaptive multigrid conjugate gradient method for permeability identification of nonlinear diffusion equation
- Reconstruction of prograde and retrograde Chandler excitation
Schlagwörter für diesen Artikel
Matrix completion;
nuclear norm;
indicator
function;
proximal point algorithm
Artikel in diesem Heft
- Frontmatter
- Preface
- Lq-regularization for the inverse Robin problem
- Hybrid Newton-type methods for reconstructing sound-soft obstacles from a single far field
- Numerical simulation and parameters inversion for non-symmetric two-sided fractional advection-dispersion equations
- A coupled model of partial differential equations for uranium ores heap leaching and its parameters identification
- An optimal filtering method for a time-fractional inverse advection-dispersion problem
- Simultaneous determination of thickness, thermal conductivity and porosity in textile material design
- Nuclear norm and indicator function model for matrix completion
- Calibrating the model parameters in pricing using the trust region method
- An adaptive multigrid conjugate gradient method for permeability identification of nonlinear diffusion equation
- Reconstruction of prograde and retrograde Chandler excitation
