Strong Evaluation Complexity of An Inexact Trust-Region Algorithm for Arbitrary-Order Unconstrained Nonconvex Optimization.
暂无分享,去创建一个
[1] W. Hogan. Point-to-Set Maps in Mathematical Programming , 1973 .
[2] D. Winfield,et al. Function Minimization by Interpolation in a Data Table , 1973 .
[3] Katya Scheinberg,et al. On the convergence of derivative-free methods for unconstrained optimization , 1997 .
[4] Valeria Simoncini,et al. Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing , 2003, SIAM J. Sci. Comput..
[5] Gerard L. G. Sleijpen,et al. Inexact Krylov Subspace Methods for Linear Systems , 2004, SIAM J. Matrix Anal. Appl..
[6] Randall J. LeVeque,et al. Finite difference methods for ordinary and partial differential equations - steady-state and time-dependent problems , 2007 .
[7] John L. Nazareth,et al. Introduction to derivative-free optimization , 2010, Math. Comput..
[8] Nicholas I. M. Gould,et al. On the Oracle Complexity of First-Order and Derivative-Free Algorithms for Smooth Nonconvex Minimization , 2012, SIAM J. Optim..
[9] José Mario Martínez,et al. Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models , 2017, Math. Program..
[10] Serge Gratton,et al. Minimizing convex quadratic with variable precision Krylov methods , 2018, ArXiv.
[11] S. Bellavia,et al. Adaptive Regularization Algorithms with Inexact Evaluations for Nonconvex Optimization , 2018, SIAM J. Optim..
[12] Nicholas I. M. Gould,et al. Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints , 2018, SIAM J. Optim..
[13] José Mario Martínez,et al. On the use of third-order models with fourth-order regularization for unconstrained optimization , 2019, Optimization Letters.
[14] P. Toint,et al. Strong Evaluation Complexity Bounds for Arbitrary-Order Optimization of Nonconvex Nonsmooth Composite Functions , 2020, 2001.10802.
[15] High-order Evaluation Complexity of a Stochastic Adaptive Regularization Algorithm for Nonconvex Optimization Using Inexact Function Evaluations and Randomly Perturbed Derivatives , 2020, 2005.04639.
[16] E. Simon,et al. An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity , 2019, Math. Program..