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SIAM Journal on Scientific Computing, ISSN 1064-8275, 2015, Volume 37, Issue 2, pp. A1111 - A1138
.... The general idea is to introduce an entropic regularization of the initial linear program. This regularized problem corresponds to a Kullback-Leibler Bregman divergence projection of a vector... 
Kullback-Leibler | Wasserstein barycenter | Convex optimization | Optimal transport | Bregman projection | Entropy regularization | MATHEMATICS, APPLIED | entropy regularization | optimal transport | NONNEGATIVE MATRICES | GEODESICS | I-PROJECTIONS | NUMERICAL-SOLUTION | convex optimization | PRESERVING MAPS | GENERALIZED SOLUTIONS | Signal and Image Processing | Mathematics | Numerical Analysis | Analysis of PDEs | Computer Science
Journal Article
BMC Systems Biology, ISSN 1752-0509, 12/2017, Volume 11, Issue Suppl 6, pp. 115 - 61
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2020, Volume 481, Issue 1, p. 123482
We study the alternating algorithm for the computation of the metric projection onto the closed sum of two closed subspaces in uniformly convex and uniformly smooth Banach spaces... 
Uniform smoothness | Banach space | Bregman projection | Alternating approximation algorithm | Uniform convexity | MATHEMATICS | MATHEMATICS, APPLIED | SUBSPACE | OPERATORS | APPROXIMATING FIXED-POINTS | UNIFORMLY CONVEX
Journal Article
Journal of Machine Learning Research, ISSN 1533-7928, 07/2006, Volume 7, pp. 1627 - 1653
.... We formulate the estimation problem as a convex-concave saddle-point problem that allows us to use simple projection methods based on the dual extragradient algorithm (Nesterov, 2003... 
Bregman projections | Extragradient | Markov networks | Large-margin methods | Structured prediction | structured prediction | extragradient | large-margin methods | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 12
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 4/2018, Volume 41, Issue 2, pp. 807 - 836
Journal Article
by Gou, J and Dong, H
Insight: Non-Destructive Testing and Condition Monitoring, ISSN 1354-2575, 07/2016, Volume 58, Issue 7, pp. 373 - 379
...). A FOV half-covered projection CT iterative reconstruction is proposed to meet the need of detecting larger-sized objects with a relatively smaller-sized detector to the FOV of CT scanning... 
Regular optimisation | Half-covered projection | Split Bregman | CT image reconstruction | SB-TVM | INSTRUMENTS & INSTRUMENTATION | BEAM CT | ALGORITHM | split Bregman | MATERIALS SCIENCE, CHARACTERIZATION & TESTING | DISPLACED DETECTOR ARRAY | RAY MICRO-CT | regular optimisation | COMPUTED-TOMOGRAPHY | half-covered projection
Journal Article
Applicable Analysis: Variational Analysis, Optimization and Optimal Control. Guest editors: Der-Chen Chang, Robert P. Gilbert, Yongzhi Steve Xu and Jen-Chih Yao, ISSN 0003-6811, 01/2015, Volume 94, Issue 1, pp. 75 - 84
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 6/2012, Volume 39, Issue 1, pp. 533 - 550
By analyzing the connection between the projection operator and the shrink operator, we propose a projection method based on the splitting Bregman iteration for image denoising problem in this paper... 
Projection method | 68U10 | Computational Mathematics and Numerical Analysis | Mathematics of Computing | 90C25 | Appl.Mathematics/Computational Methods of Engineering | Shrink operator | Splitting Bregman method | Mathematics | Theory of Computation | 68K10 | Image denoising | Studies | Mathematical analysis | Image processing systems | Operators | Splitting | Images | Projection | Mathematical models | Iterative methods | Convergence
Journal Article
Journal Article
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, ISSN 1661-7738, 03/2020, Volume 22, Issue 1
Journal Article
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, ISSN 1661-7738, 12/2019, Volume 22, Issue 1
Journal Article
Digital Signal Processing, ISSN 1051-2004, 01/2014, Volume 24, pp. 63 - 70
Journal Article
Optimization, ISSN 0233-1934, Volume ahead-of-print, Issue ahead-of-print, pp. 1 - 16
... nonexpansive mapping in a reflexive Banach space by using Bregman distance and shrinking projection method... 
maximal monotone operator | Bregman strongly nonexpansive mapping | Bregman distance | Bregman inverse strongly monotone mapping | Bregman quasi-nonexpansive mapping
Journal Article
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