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The mirror descent algorithm (MDA) generalizes gradient descent by using a Bregman divergence to replace squared Euclidean distance.
The distribution of a product from several sources to numerous localities
F. L. Hitchcock · 1941
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The hungarian method for the assignment problem
H. W. Kuhn · 1955
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Applications of the method of multipliers to variational inequalities
D. Gabay · 1983
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Problem Complexity and Method Efficiency in Optimization
A. Nemirovski and D. Yudin · 1983
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Convergence analysis of a proximal-like minimization algorithm using bremgan functions
G. Chen and M. Teboulle · 1993
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Proximal minimization methods with generalized Bregman functions
K. C. Kiwiel · 1995
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Parallel Optimization: Theory, Algorithms, and Applications
Y. Censor and S. Zenios · 1998
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The ordered subsets mirror descent optimization method with applications to tomography
A. Ben-Tal, T. Margalit, and A. Nemirovski · 2001
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Mirror descent and nonlinear projected subgradient methods for convex optimization
A. Beck and M. Teboulle · 2003
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Clustering with Bregman divergences
A. Banerjee, S. Merugu, I. Dhillon, and J. Ghosh · 2005
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Gradient methods for minimizing composite objective function
Y. Nesterov · 2007
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Efficient projections onto the l 1 l_{1} -ball for learning in high dimensions
J. Duchi, S. Shalev-Shwartz, Y. Singer, and T. Chandra · 2008
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Graphical models, exponential families, and variational inference
M. J. Wainwright and M. I. Jordan · 2008
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The Elements of Statistical Learning: Data Mining, Inference, and Prediction
T. Hastie, R. Tibshirani, and J. Friedman · 2009
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Alternating direction algorithms for L1-problems in compressive sensing
J. Yang and Y. Zhang · 2009
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Distributed optimization and statistical learning via the alternating direction method of multipliers
S. Boyd, E. Chu N. Parikh, B. Peleato, and J. Eckstein · 2011
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Proximal splitting methods in signal processsing
P. Combettes and J. Pesquet · 2011
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On the global and linear convergence of the generalized alternating direction method of multipliers
W. Deng and W. Yin · 2012
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Fast alternating direction optimization methods
T. Goldstein, B. Donoghue, and S. Setzer · 2012
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On the O ( 1 / n ) {O}(1/n) convergence rate of the Douglas-Rachford alternating direction method
B. He and X. Yuan · 2012
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On the linear convergence of the alternating direction method of multipliers
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Composite objective mirror descent
J. Duchi, S. Shalev-Shwartz, Y. Singer, and A. Tewari · 2010
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Restoration of poissonian images using alternating direction optimization
M. A. T. Figueiredo and J. M. Bioucas-Dias · 2010
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Geometric applications of the split Bregman method: segmentation and surface reconstruction
T. Goldstein, X. Bresson, and S. Osher · 2010
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Agglomerative Bregman clustering
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Online alternating direction method
H. Wang and A. Banerjee · 2012
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Bethe-ADMM for tree decomposition based parallel MAP inference
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