弱与强超优化:在可行性寻求与最小化之间
最优化与控制
2014-12-10 v2
摘要
我们回顾了超优化(superiorization)方法,在某些情况下,该方法可被视为介于可行性寻求与约束最小化之间。它并非试图求解完整的约束最小化问题;相反,其任务是寻找一个可行点,该点在目标函数值上优于仅由可行性寻求算法返回的点。我们区分了超优化方法中源于同一一般原则的两个研究方向:弱超优化与强超优化,并阐明了它们的性质。
引用
@article{arxiv.1410.0130,
title = {Weak and Strong Superiorization: Between Feasibility-Seeking and Minimization},
author = {Yair Censor},
journal= {arXiv preprint arXiv:1410.0130},
year = {2014}
}
备注
Revised version. Presented at the Tenth Workshop on Mathematical Modelling of Environmental and Life Sciences Problems, October 16-19, 2014, Constantza, Romania. http://www.ima.ro/workshop/tenth_workshop/