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* Extensions of convex optimization include the optimization of biconvex, pseudo-convex, and quasiconvex functions.<ref name="ref_8dfd" /> | * Extensions of convex optimization include the optimization of biconvex, pseudo-convex, and quasiconvex functions.<ref name="ref_8dfd" /> | ||
* This monograph presents the main complexity theorems in convex optimization and their corresponding algorithms.<ref name="ref_99d9">[https://www.nowpublishers.com/article/Details/MAL-050 Convex Optimization: Algorithms and Complexity]</ref> | * This monograph presents the main complexity theorems in convex optimization and their corresponding algorithms.<ref name="ref_99d9">[https://www.nowpublishers.com/article/Details/MAL-050 Convex Optimization: Algorithms and Complexity]</ref> | ||
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* A wealth of existing methodology for convex optimization can then be used to identify points arbitrarily close to the true global optimum.<ref name="ref_b80b">[https://www.osapublishing.org/abstract.cfm?uri=oe-26-19-24422 Using convex optimization of autocorrelation with constrained support and windowing for improved phase retrieval accuracy]</ref> | * A wealth of existing methodology for convex optimization can then be used to identify points arbitrarily close to the true global optimum.<ref name="ref_b80b">[https://www.osapublishing.org/abstract.cfm?uri=oe-26-19-24422 Using convex optimization of autocorrelation with constrained support and windowing for improved phase retrieval accuracy]</ref> | ||
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===소스=== | ===소스=== | ||
<references /> | <references /> | ||
2020년 12월 15일 (화) 22:29 판
노트
- CVXOPT is a free software package for convex optimization based on the Python programming language.[1]
- Convex optimization studies the problem of minimizing a convex function over a convex set.[2]
- Surprisingly, algorithms for convex optimization have also been used to design counting problems over discrete objects such as matroids.[2]
- Simultaneously, algorithms for convex optimization have become central to many modern machine learning applications.[2]
- The goal of this book is to enable a reader to gain an in depth understanding of algorithms for convex optimization.[2]
- Convex optimization has many applications ranging from operations research and machine learning to quantum information theory.[3]
- The goal of this course is to investigate in-depth and to develop expert knowledge in the theory and algorithms for convex optimization.[4]
- The lecture slides are adopted from Dr. Stephen Boyd's letcture notes on Convex Optimization at Standord University.[5]
- x + &bgr; y ) = &agr; f i( x ) + &bgr; f i( y )), the problem is said to be one of convex optimization.[6]
- Note that linear programming is a special case of convex optimization, where the objective and constraint functions are all linear.[6]
- If a problem can be transformed to an equivalent convex optimization, then ability to visualize its geometry is acquired.[7]
- Study of equivalence, sameness, and uniqueness therefore pervade study of convex optimization.[7]
- A MOOC on convex optimization, CVX101, was run from 1/21/14 to 3/14/14.[8]
- Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets.[9]
- Extensions of convex optimization include the optimization of biconvex, pseudo-convex, and quasiconvex functions.[9]
- This monograph presents the main complexity theorems in convex optimization and their corresponding algorithms.[10]
- A wealth of existing methodology for convex optimization can then be used to identify points arbitrarily close to the true global optimum.[11]
소스
- ↑ Home — CVXOPT
- ↑ 2.0 2.1 2.2 2.3 Algorithms for Convex Optimization
- ↑ Pushing the boundaries of convex optimization
- ↑ Industrial Engineering & Management Sciences
- ↑ CSCI 5254: Convex Optimization and Its Applications
- ↑ 6.0 6.1 Convex Optimization
- ↑ 7.0 7.1 Convex Optimization
- ↑ Convex Optimization – Boyd and Vandenberghe
- ↑ 9.0 9.1 Convex optimization
- ↑ Convex Optimization: Algorithms and Complexity
- ↑ Using convex optimization of autocorrelation with constrained support and windowing for improved phase retrieval accuracy