Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods [0.03%]
孤立的扰动映射平静性及牛顿型方法的超线性收敛性
Matúš Benko,Patrick Mehlitz
Matúš Benko
In this paper, we characterize Lipschitzian properties of different multiplier-free and multiplier-dependent perturbation mappings associated with the stationarity system of a so-called generalized nonlinear program popularized by Rockafell...
Geodesic Convexity of the Symmetric Eigenvalue Problem and Convergence of Steepest Descent [0.03%]
对称特征值问题的测地凸性及其最速下降法收敛性分析
Foivos Alimisis,Bart Vandereycken
Foivos Alimisis
We study the convergence of the Riemannian steepest descent algorithm on the Grassmann manifold for minimizing the block version of the Rayleigh quotient of a symmetric matrix. Even though this problem is non-convex in the Euclidean sense a...
Second Order Dynamics Featuring Tikhonov Regularization and Time Scaling [0.03%]
具有Tikhonov正则化和时间放缩的二阶动力学
Ernö Robert Csetnek,Mikhail A Karapetyants
Ernö Robert Csetnek
In a Hilbert setting we aim to study a second order in time differential equation, combining viscous and Hessian-driven damping, containing a time scaling parameter function and a Tikhonov regularization term. The dynamical system is relate...
Lower Bounds on the Noiseless Worst-Case Complexity of Efficient Global Optimization [0.03%]
噪声无损最坏情况复杂度的有效全局优化下界
Wenjie Xu,Yuning Jiang,Emilio T Maddalena et al.
Wenjie Xu et al.
Efficient global optimization is a widely used method for optimizing expensive black-box functions. In this paper, we study the worst-case oracle complexity of the efficient global optimization problem. In contrast to existing kernel-specif...
Donghwan Kim,Jeffrey A Fessler
Donghwan Kim
First-order methods with momentum such as Nesterov's fast gradient method are very useful for convex optimization problems, but can exhibit undesirable oscillations yielding slow convergence for some applications. An adaptive restarting sch...
Optimal Control Strategy of an Online Game Addiction Model with Incomplete Recovery [0.03%]
一种网络游戏成瘾模型的最优控制策略（具有不完全康复）
Tingting Li,Youming Guo
Tingting Li
Since the global COVID-19 pandemic in 2020, some people who have dropped out of online game have become re-addicted to it due to the order of stay-at-home, making the phenomenon of online game addiction even worse. Controlling the prevalenc...
A New Portfolio Optimization Model Under Tracking-Error Constraint with Linear Uncertainty Distributions [0.03%]
具有线性不确定分布的跟踪误差约束下的一个新的投资组合优化模型
Tingting Yang,Xiaoxia Huang
Tingting Yang
Enhanced index tracking problem is the issue of selecting a tracking portfolio to outperform the benchmark return with a minimum tracking error. In this paper, we address the enhanced index tracking problem based on uncertainty theory where...
Equivalent Formulations of Optimal Control Problems with Maximum Cost and Applications [0.03%]
带最大成本的最优控制问题的等效公式及应用
Emilio Molina,Alain Rapaport,Héctor Ramírez
Emilio Molina
We revisit the optimal control problem with maximum cost with the objective to provide different equivalent reformulations suitable to numerical methods. We propose two reformulations in terms of extended Mayer problems with state constrain...
Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization [0.03%]
非凸 nonsmooth 不确定多目标优化的统一 robust 必要最优性条件
Jie Wang,Shengjie Li,Min Feng
Jie Wang
This paper is concerned with nonconvex nonsmooth uncertain multiobjective optimization problems, in which the decision variable of both objective and constraint functions is defined on Banach space while uncertain parameters are defined on ...
Georgia Fargetta,Antonino Maugeri,Laura Scrimali
Georgia Fargetta
In this paper, we study the competition of healthcare institutions for medical supplies in emergencies caused by natural disasters. In particular, we develop a two-stage procurement planning model in a random environment. We consider a pre-...