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Mm Optimization Algorithms 1st Edition Kenneth Lange

  • SKU: BELL-23992134
Mm Optimization Algorithms 1st Edition Kenneth Lange
$ 31.00 $ 45.00 (-31%)

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Mm Optimization Algorithms 1st Edition Kenneth Lange instant download after payment.

Publisher: SIAM
File Extension: PDF
File size: 1.87 MB
Pages: 229
Author: Kenneth Lange
ISBN: 9781611974393, 9781611974409, 1611974399, 1611974402
Language: English
Year: 2016
Edition: 1

Product desciption

Mm Optimization Algorithms 1st Edition Kenneth Lange by Kenneth Lange 9781611974393, 9781611974409, 1611974399, 1611974402 instant download after payment.

MM Optimization Algorithms offers an overview of the MM principle, a device for deriving optimization algorithms satisfying the ascent or descent property. These algorithms can separate the variables of a problem, avoid large matrix inversions, linearize a problem, restore symmetry, deal with equality and inequality constraints gracefully, and turn a nondifferentiable problem into a smooth problem.

The author presents the first extended treatment of MM algorithms, which are ideal for high-dimensional optimization problems in data mining, imaging, and genomics; derives numerous algorithms from a broad diversity of application areas, with a particular emphasis on statistics, biology, and data mining; and summarizes a large amount of literature that has not reached book form before.

Audience: This book is intended for those interested in high-dimensional optimization. Background material on convexity and semidifferentiable functions is derived in a setting congenial to graduate students.

Contents: Chapter 1: Beginning Examples; Chapter 2: Convexity and Inequalities; Chapter 3: Nonsmooth Analysis; Chapter 4: Majorization and Minorization; Chapter 5: Proximal Algorithms; Chapter 6: Regression and Multivariate Analysis; Chapter 7: Convergence and Acceleration; Appendix A: Mathematical Background.

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