Convex Optimization
About this course
This course concentrates on recognizing and solving convex optimization problems that arise in applications. The syllabus includes: convex sets, functions, and optimization problems; basics of convex analysis; least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems; optimality conditions, duality theory, theorems of alternative, and applications; interior-point methods; applications to signal processing, statistics and machine learning, control and mechanical engineering, digital and analog circuit design, and finance.
74/100
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- Who stands behind it
- 35/35
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- 8/20
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What you'll learn
- understanding convex sets and functions
- formulating and solving least-squares and quadratic programming problems
- applying interior-point methods
- utilizing duality theory in optimization
Course objectives
- recognize and classify convex optimization problems
- solve practical optimization challenges in diverse fields
- analyze optimality conditions and their implications
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