Newton-Like Dynamics Associated to Nonconvex Optimization Problems
暂无分享,去创建一个
[1] Guoyin Li,et al. Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods , 2016, Foundations of Computational Mathematics.
[2] Bruce W. Suter,et al. From error bounds to the complexity of first-order descent methods for convex functions , 2015, Math. Program..
[3] Ernö Robert Csetnek,et al. Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms , 2016 .
[4] R. Boţ,et al. Levenberg-Marquardt Dynamics Associated to Variational Inequalities , 2016, 1603.04460.
[5] Radu Ioan Bot,et al. An inertial forward–backward algorithm for the minimization of the sum of two nonconvex functions , 2014, EURO J. Comput. Optim..
[6] David Stutz. IPIANO : INERTIAL PROXIMAL ALGORITHM FOR NON-CONVEX OPTIMIZATION , 2016 .
[7] R. Boţ,et al. A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function , 2015, 1507.01416.
[8] B. Abbas. An asymptotic viscosity selection result for the regularized Newton dynamic , 2015, 1504.07793.
[9] Shoham Sabach,et al. Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging , 2015, SIAM J. Imaging Sci..
[10] Giorgio C. Buttazzo,et al. Variational Analysis in Sobolev and BV Spaces - Applications to PDEs and Optimization, Second Edition , 2014, MPS-SIAM series on optimization.
[11] Matthew K. Tam,et al. Proximal Heterogeneous Block Input-Output Method and application to Blind Ptychographic Diffraction Imaging , 2014, 1408.1887.
[12] Marc Teboulle,et al. Proximal alternating linearized minimization for nonconvex and nonsmooth problems , 2013, Mathematical Programming.
[13] Émilie Chouzenoux,et al. Variable Metric Forward–Backward Algorithm for Minimizing the Sum of a Differentiable Function and a Convex Function , 2013, Journal of Optimization Theory and Applications.
[14] Benar Fux Svaiter,et al. Newton-Like Dynamics and Forward-Backward Methods for Structured Monotone Inclusions in Hilbert Spaces , 2014, J. Optim. Theory Appl..
[15] Thomas Brox,et al. iPiano: Inertial Proximal Algorithm for Nonconvex Optimization , 2014, SIAM J. Imaging Sci..
[16] Benar Fux Svaiter,et al. Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods , 2013, Math. Program..
[17] H. Attouch,et al. A second-order differential system with hessian-driven damping; application to non-elastic shock laws , 2012 .
[18] Heinz H. Bauschke,et al. Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.
[19] Benar Fux Svaiter,et al. A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions , 2011, SIAM J. Control. Optim..
[20] Hédy Attouch,et al. Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality , 2008, Math. Oper. Res..
[21] J. Bolte,et al. Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity , 2009 .
[22] Boris Polyak,et al. B.S. Mordukhovich. Variational Analysis and Generalized Differentiation. I. Basic Theory, II. Applications , 2009 .
[23] H. Attouch,et al. Asymptotic behavior of coupled dynamical systems with multiscale aspects , 2009, 0904.0397.
[24] Hédy Attouch,et al. On the convergence of the proximal algorithm for nonsmooth functions involving analytic features , 2008, Math. Program..
[25] Adrian S. Lewis,et al. The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems , 2006, SIAM J. Optim..
[26] Adrian S. Lewis,et al. Clarke Subgradients of Stratifiable Functions , 2006, SIAM J. Optim..
[27] B. Mordukhovich. Variational analysis and generalized differentiation , 2006 .
[28] J. Borwein,et al. Techniques of variational analysis , 2005 .
[29] C. Zălinescu. Convex analysis in general vector spaces , 2002 .
[30] J. Bolte,et al. A second-order gradient-like dissipative dynamical system with Hessian-driven damping.: Application to optimization and mechanics , 2002 .
[31] A. Haraux,et al. Convergence of Solutions of Second-Order Gradient-Like Systems with Analytic Nonlinearities , 1998 .
[32] K. Kurdyka. On gradients of functions definable in o-minimal structures , 1998 .
[33] L. Simon. Asymptotics for a class of non-linear evolution equations, with applications to geometric problems , 1983 .
[34] H. Brezis. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert , 1973 .