A Dynamic Alternating Direction of Multipliers for Nonconvex Minimization with Nonlinear Functional Equality Constraints
暂无分享,去创建一个
[1] Jeffrey A. Fessler,et al. Optimization Methods for Magnetic Resonance Image Reconstruction: Key Models and Optimization Algorithms , 2020, IEEE Signal Processing Magazine.
[2] J. Royset. Preface , 2019, Math. Program..
[3] Marc Teboulle,et al. Optimization on Spheres: Models and Proximal Algorithms with Computational Performance Comparisons , 2018, SIAM J. Math. Data Sci..
[4] B. Mordukhovich. Variational Analysis and Applications , 2018 .
[5] Marc Teboulle,et al. A simplified view of first order methods for optimization , 2018, Math. Program..
[6] Marc Teboulle,et al. Nonconvex Lagrangian-Based Optimization: Monitoring Schemes and Global Convergence , 2018, Math. Oper. Res..
[7] Radu Ioan Bot,et al. The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates , 2018, Math. Oper. Res..
[8] Marc Teboulle,et al. First Order Methods beyond Convexity and Lipschitz Gradient Continuity with Applications to Quadratic Inverse Problems , 2017, SIAM J. Optim..
[9] A. Montanari,et al. The landscape of empirical risk for nonconvex losses , 2016, The Annals of Statistics.
[10] Dimitri P. Bertsekas,et al. Convex Optimization Algorithms , 2015 .
[11] Marc Teboulle,et al. Proximal alternating linearized minimization for nonconvex and nonsmooth problems , 2013, Mathematical Programming.
[12] Guoyin Li,et al. Global Convergence of Splitting Methods for Nonconvex Composite Optimization , 2014, SIAM J. Optim..
[13] Marc Teboulle,et al. Rate of Convergence Analysis of Decomposition Methods Based on the Proximal Method of Multipliers for Convex Minimization , 2014, SIAM J. Optim..
[14] Stephen P. Boyd,et al. Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers , 2011, Found. Trends Mach. Learn..
[15] Heinrich von Stackelberg. Market Structure and Equilibrium , 2010 .
[16] Boris Polyak,et al. B.S. Mordukhovich. Variational Analysis and Generalized Differentiation. I. Basic Theory, II. Applications , 2009 .
[17] Adrian S. Lewis,et al. The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems , 2006, SIAM J. Optim..
[18] Jianqing Fan,et al. Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties , 2001 .
[19] Dimitri P. Bertsekas,et al. Constrained Optimization and Lagrange Multiplier Methods , 1982 .
[20] R. Rockafellar. Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming , 1974 .
[21] M. Hestenes. Multiplier and gradient methods , 1969 .
[22] Radu Miculescu,et al. Lipschitz Functions , 2019, Lecture Notes in Mathematics.
[23] Marc Teboulle,et al. Lagrangian methods for composite optimization , 2019, Handbook of Numerical Analysis.
[24] Bastian Goldlücke,et al. Variational Analysis , 2014, Computer Vision, A Reference Guide.
[25] Marc Teboulle,et al. Gradient-based algorithms with applications to signal-recovery problems , 2010, Convex Optimization in Signal Processing and Communications.
[26] John N. Tsitsiklis,et al. Parallel and distributed computation , 1989 .
[27] R. Glowinski,et al. Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .
[28] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .
[29] B. Mercier,et al. A dual algorithm for the solution of nonlinear variational problems via finite element approximation , 1976 .
[30] M. Powell. A method for nonlinear constraints in minimization problems , 1969 .
[31] K. Schittkowski,et al. NONLINEAR PROGRAMMING , 2022 .