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SIAM journal on optimization, ISSN 1095-7189, 2016, Volume 26, Issue 1, pp. 337 - 364
The alternating direction method of multipliers (ADMM) is widely used to solve large-scale linearly constrained optimization problems, convex or nonconvex, in... 
Nonconvex optimization | Sharing | ADMM | Consensus | consensus | MATHEMATICS, APPLIED | nonconvex optimization | ALGORITHMS | sharing
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 05/2014, Volume 62, Issue 9, pp. 2317 - 2329
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 03/2015, Volume 16, pp. 559 - 616
Journal Article
SIAM journal on optimization, ISSN 1095-7189, 2013, Volume 23, Issue 4, pp. 2341 - 2368
In this paper, we introduce a new stochastic approximation type algorithm, namely, the randomized stochastic gradient (RSG) method, for solving an important... 
Stochastic approximation | Nonconvex optimization | Simulation-based optimization | Stochastic programming | MATHEMATICS, APPLIED | APPROXIMATION | stochastic programming | COMPLEXITY | simulation-based optimization | OPTIMIZATION | stochastic approximation | nonconvex optimization | ALGORITHMS | GRADIENT
Journal Article
Mathematical Programming, ISSN 0025-5610, 10/2011, Volume 129, Issue 2, pp. 285 - 299
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2015, Volume 37, Issue 1, pp. A536 - A563
Journal Article
IEEE Transactions on Medical Imaging, ISSN 0278-0062, 01/2009, Volume 28, Issue 1, pp. 106 - 121
Journal Article
Neurocomputing, ISSN 0925-2312, 02/2017, Volume 224, pp. 71 - 81
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 07/2019, Volume 41, Issue 7, pp. 1695 - 1708
Journal Article
IEEE Transactions on Image Processing, ISSN 1057-7149, 2012, Volume 21, Issue 12, pp. 4709 - 4721
Nonsmooth nonconvex regularization has remarkable advantages for the restoration of piecewise constant images. Constrained optimization can improve the image... 
nonsmooth and nonconvex | non-Lipschitz | image restoration | Box constraints | regularization
Journal Article
Systems & control letters, ISSN 0167-6911, 2018, Volume 122, pp. 48 - 53
We consider the estimation of the state transition matrix in vector autoregressive models, when time sequence data is limited but nonsequence steady-state data... 
Lyapunov penalty | Nonconvex nonsmooth problem | Proximal alternating linearized minimization | Steady-state data | Autoregressive models | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | NONCONVEX | AUTOMATION & CONTROL SYSTEMS
Journal Article
IEEE transactions on signal processing, ISSN 1941-0476, 2019, Volume 67, Issue 22, pp. 5811 - 5823
Level-set optimization formulations with data-driven constraints minimize a regularization functional subject to matching observations to a given error level.... 
Interpolation | level-set formulations | basis pursuit denoise | Noise reduction | Signal processing algorithms | Nonconvex nonsmooth optimization | Data models | seismic data | Mathematical model | Optimization | Convergence | SPARSITY | MATRIX COMPLETION | ENGINEERING, ELECTRICAL & ELECTRONIC | RECOVERY | interpolation | MINIMIZATION | CONVERGENCE | OPTIMIZATION | NONCONVEX
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 2018, Volume 18, pp. 1 - 52
The use of convex regularizers allows for easy optimization, though they often produce biased estimation and inferior prediction performance. Recently,... 
Nonconvex optimization | Frank-Wolfe algorithm | Nonconvex regularization | Proximal algorithm | Matrix completion | SPARSITY | RELAXATION | ALGORITHMS | VARIABLE SELECTION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | CONVERGENCE | NONSMOOTH | AUTOMATION & CONTROL SYSTEMS
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2016, Volume 26, Issue 3, pp. 1465 - 1492
We consider a class of constrained optimization problems with a possibly nonconvex non-Lipschitz objective and a convex feasible set being the intersection of... 
Exact penalty | Nonconvex optimization | Sparse solution | Non-Lipschitz optimization | Proximal gradient method | MATHEMATICS, APPLIED | NONCONVEX MINIMIZATION | RECONSTRUCTION | nonconvex optimization | ALGORITHMS | proximal gradient method | VARIABLE SELECTION | sparse solution | exact penalty | MODELS | non-Lipschitz optimization | IMAGES | ESTIMATORS | SYSTEMS | NONSMOOTH
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2010, Volume 20, Issue 5, pp. 2352 - 2380
Given a power grid modeled by a network together with equations describing power flows, power generation and consumption, the so-called N - k problem asks... 
Discrete optimization | Power grids | Nonconvex optimization | discrete optimization | MATHEMATICS, APPLIED | SOLVE | nonconvex optimization | power grids | STRATEGIES
Journal Article
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