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Explore the fundamentals of interior point methods in optimization through this comprehensive lecture by Yinyu Ye from Stanford University. Delve into the core concepts and techniques of this powerful algorithmic approach, gaining insights into its applications in solving complex optimization problems. Learn how interior point methods revolutionized the field of mathematical programming and their significance in modern optimization theory. Discover the mathematical foundations, key principles, and practical implementations of these methods, equipping yourself with valuable knowledge for tackling various optimization challenges across different domains.