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We propose a unifying algorithm for non-smooth non-convex optimization.
An algorithm for least-squares estimation of nonlinear parameters
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The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
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The relationship between maximum entropy spectra and maximum likelihood spectra
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Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
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Robust Statistics: The Approach Based on Influence Functions
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A finite algorithm for finding the projection of a point onto the canonical simplex of
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Visual Reconstruction
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Convergence analysis of proximal-like minimization algorithm using bregman functions
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Sparse coding with an overcomplete basis set: A strategy employed by V1?
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Legendre functions and the method of random Bregman projections
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Variational Analysis
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Learning the part of objects from nonnegative matrix factorization
D. Lee and H. Seung · 1999
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Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces
H. Bauschke, J. Borwein, and P. Combettes · 2001
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Bregman monotone optimization algorithms
H. Bauschke, J. Borwein, and P. Combettes · 2003
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An algorithm for total variation minimization and applications
A. Chambolle · 2004
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Non-negative matrix factorization with sparseness constraints
P. Hoyer · 2004
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A proximity control algorithm to minimize nonsmooth and nonconvex functions
D. Noll, O. Prot, and P. Apkarian · 2008
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Convergence of non-smooth descent methods using the Kurdyka–Łojasiewicz inequality
D. Noll · 2013
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Blind deconvolution using convex programming
A. Ahmed, B. Recht, and J. Romberg · 2014
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Proximal alternating linearized minimization for nonconvex and nonsmooth problems
J. Bolte, S. Sabach, and M. Teboulle · 2014
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Blind Image Deconvolution
S. Chaudhuri, R. Velmurugan, and R. Rameshan · 2014
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On iteratively reweighted algorithms for nonsmooth nonconvex optimization in computer vision
P. Ochs, A. Dosovitskiy, T. Brox, and T. Pock · 2015
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Sparse image and signal processing: wavelets, curvelets, morphological diversity
J.-L. Starck, F. Murtagh, and J. Fadili · 2015
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Convex analysis and monotone operator theory in Hilbert spaces
H. H. Bauschke and P. L. Combettes · 2011
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A descent lemma beyond Lipschitz gradient continuity: First-order methods revisited and applications
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Variable metric inexact line-search based methods for nonsmooth optimization
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Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria
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Error bounds, quadratic growth, and linear convergence of proximal methods
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Forward–Backward Splitting with Bregman Distances
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A survey of dictionary learning algorithms for face recognition
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