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凸优化导论

6.079 Introduction to Convex Optimization (MIT)
课程网址: http://ocw.mit.edu/courses/electrical-engineering-and-computer-sc...  
主讲教师: Prof. Stephen Boyd; Prof. Pablo Parrilo
开课单位: 麻省理工学院
开课时间: 2012-03-12
课程语种: 英语
中文简介:
本课程旨在为学生提供工具和培训, 以识别科学和工程应用中出现的凸优化问题, 介绍基础理论, 并专注于建模方面和结果, 这些方面和结果在应用。主题包括凸集、凸函数、优化问题、最小二乘、线性和二次规划、半元规划、优化条件和二元理论。介绍了信号处理、控制、机器学习、金融、数字和模拟电路设计、计算几何、统计和机械工程等方面的应用。学生使用高级数字软件完成动手练习。本课程材料由 stephen boyd 教授 (斯坦福) 和 lieven vanderberghe 教授 (加州大学洛杉矶分校) 共同编写, 他在麻省理工担任客座教授。
课程简介: This course aims to give students the tools and training to recognize convex optimization problems that arise in scientific and engineering applications, presenting the basic theory, and concentrating on modeling aspects and results that are useful in applications. Topics include convex sets, convex functions, optimization problems, least-squares, linear and quadratic programs, semidefinite programming, optimality conditions, and duality theory. Applications to signal processing, control, machine learning, finance, digital and analog circuit design, computational geometry, statistics, and mechanical engineering are presented. Students complete hands-on exercises using high-level numerical software. Acknowledgements The course materials were developed jointly by Prof. Stephen Boyd (Stanford), who was a visiting professor at MIT when this course was taught, and Prof. Lieven Vanderberghe (UCLA).
关 键 词: 凸集; 凸函数的优化问题; 最小二乘法; 线性和二次规划; 半定规划; 最优性条件; 对偶理论
课程来源: 麻省理工大学公开课
最后编审: 2020-05-30:王勇彬(课程编辑志愿者)
阅读次数: 138