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A local convergence result for abstract descent methods is proved.
Une propriété topologique des sous-ensembles analytiques réels
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Convergence of the iterates of descent methods for analytic cost functions
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The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems
J. Bolte, A. Daniilidis, and A. Lewis · 2006
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A nonsmooth Morse–Sard theorem for subanalytic functions
J. Bolte, A. Daniilidis, and A. Lewis · 2006
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Clarke subgradients of stratifiable functions
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Prox-regularity of spectral functions and spectral sets
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Local linear convergence for alternating and averaged nonconvex projections
A. S. Lewis, D. R. Luke, and J. Malick · 2008
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On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
H. Attouch and J. Bolte · 2009
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Proximal alternating minimization and projection methods for nonconvex problems: An approach based on the Kurdyka-Łojasiewicz inequality
H. Attouch, J. Bolte, P. Redont, and A. Soubeyran · 2010
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Characterizations of Łojasiewicz inequalities: subgradient flows, talweg, convexity
J. Bolte, A. Daniilidis, A. Ley, and L. Mazet · 2010
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B. Merlet and M. Pierre · 2010
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Global convergence of splitting methods for nonconvex composite optimization
G. Li and T. K. Pong · 2015
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Accelerated proximal gradient method for nonconvex programming
H. Li and Z. Lin · 2015
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Long term motion analysis for object level grouping and nonsmooth optimization methods
P. Ochs · 2015
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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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From error bounds to the complexity of first-order descent methods for convex functions
J. Bolte, T. Nguyen, J. Peypouquet, and B. Suter · 2016
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Majorization–minimization procedures and convergence of SQP methods for semi-algebraic and tame programs
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