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Lange K. MM Optimization Algorithms 2016 Fix torrent |
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| Torrent added: | 2023-03-10 17:46:33 |
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Torrent Description
Textbook in PDF format
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. Beginning Examples; Convexity and Inequalities; Nonsmooth Analysis; Majorization and Minorization; Proximal Algorithms; Regression and Multivariate Analysis; Convergence and Acceleration; Mathematical Background
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