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优化:理论与算法

Optimization: Theory and Algorithms
课程网址: http://videolectures.net/mlss2012_vanderbei_theory_algorithms/  
主讲教师: Robert Vanderbei
开课单位: 普林斯顿大学运营研究与金融工程系
开课时间: 2013-01-15
课程语种: 英语
中文简介:
本课程将涵盖线性、凸和参数优化。在这些领域中,对偶性的作用将被强调,因为它通知了有效算法的设计,并为确定最优性提供了严格的基础。本文将介绍线性规划的各种单纯形方法。文章将解释堕落的危险和避免堕落的方法。此外,还将描述算法的最坏情况和平均情况效率。最后,提出了一种有效的参数化求解多目标优化问题的算法,并对其进行了分析,并提出了一种新的稀疏回归算法。
课程简介: The course will cover linear, convex, and parametric optimization. In each of these areas, the role of duality will be emphasized as it informs the design of efficient algorithms and provides a rigorous basis for determining optimality. Various versions of the Simplex Method for linear programming will be presented. The dangers of degeneracy and ways to avoid it will be explained. Also, both the worst-case and average-case efficiency of the algorithms will be described. Finally, an efficient algorithm for parametrically solving multi-objective optimization problems will be presented, analyzed, and proposed as a new algorithm for sparse regression.
关 键 词: 参数优化; 描述算法; 线性规划
课程来源: 视频讲座网
数据采集: 2023-03-06:chenxin01
最后编审: 2023-05-17:chenxin01
阅读次数: 42