Download Read Online Optimization book
Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 1461458382
Size: 79.16 MB
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Optimization by Kenneth Lange

Original Title: Optimization

Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. Building on students’ skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction. Its stress on statistical applications will be especially appealing to graduate students of statistics and biostatistics. The intended audience also includes students in applied mathematics, computational biology, computer science, economics, and physics who want to see rigorous mathematics combined with real applications. In this second edition the emphasis remains on finite-dimensional optimization. New material has been added on the MM algorithm, block descent and ascent, and the calculus of variations. Convex calculus is now treated in much greater depth. Advanced topics such as the Fenchel conjugate, subdifferentials, duality, feasibility, alternating projections, projected gradient methods, exact penalty methods, and Bregman iteration will equip students with the essentials for understanding modern data mining techniques in high dimensions.

Numerical Analysis For Statisticians

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 1441959459
Size: 56.12 MB
Format: PDF
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Numerical Analysis For Statisticians by Kenneth Lange

Original Title: Numerical Analysis For Statisticians

Numerical analysis is the study of computation and its accuracy, stability and often its implementation on a computer. This book focuses on the principles of numerical analysis and is intended to equip those readers who use statistics to craft their own software and to understand the advantages and disadvantages of different numerical methods.

Mm Optimization Algorithms

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Author: Kenneth Lange
Publisher: SIAM
ISBN: 1611974402
Size: 26.72 MB
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Mm Optimization Algorithms by Kenneth Lange

Original Title: Mm Optimization Algorithms

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.

Applied Probability

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 9781441971654
Size: 80.84 MB
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Applied Probability by Kenneth Lange

Original Title: Applied Probability

Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besides the two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion of basic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientists from a variety of backgrounds will find Applied Probability useful as a reference

Mathematical And Statistical Methods For Genetic Analysis

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 1475727399
Size: 80.88 MB
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Mathematical And Statistical Methods For Genetic Analysis by Kenneth Lange

Original Title: Mathematical And Statistical Methods For Genetic Analysis

Geneticists now stand on the threshold of sequencing the genome in its entirety. The unprecedented insights into human disease and evolution offered by mapping and sequencing are transforming medicine and agriculture. This revolution depends vitally on the contributions made by applied mathematicians, statisticians, and computer scientists. Kenneth Lange has written a book to enable graduate students in the mathematical sciences to understand and model the epidemiological and experimental data encountered in genetics research. Mathematical, statistical, and computational principles relevant to this task are developed hand-in-hand with applications to gene mapping, risk prediction, and the testing of epidemiological hypotheses. The book covers many topics previously only accessible in journal articles, such as pedigree analysis algorithms, Markov chain, Monte Carlo methods, reconstruction of evolutionary trees, radiation hybrid mapping, and models of recombination. The whole is backed by numerous exercise sets.

Pet Crows And Ice Dragons Tales Of A Naturalist

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Author: Kenneth Lange
ISBN: 9781985886056
Size: 56.65 MB
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Pet Crows And Ice Dragons Tales Of A Naturalist by Kenneth Lange

Original Title: Pet Crows And Ice Dragons Tales Of A Naturalist

Adventures in the States and overseas are recounted in this collection of tales by the Devil's Lake State Park naturalist, now retired: raising a crow, sharing time (about two hours) with a live rattlesnake in the bottom of an Arizona mine shaft, scaling an ice dragon in Alaska. Oddly enough, the book ends with a walk in a cemetery.

Rise Of The Storm Bringer

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Author: Ken Lange
Publisher: Createspace Independent Publishing Platform
ISBN: 9781544982717
Size: 75.34 MB
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Rise Of The Storm Bringer by Ken Lange

Original Title: Rise Of The Storm Bringer

For most people, a visit from their former in-laws is unpleasant at most. If only I were that lucky. Mine have unexpectedly dropped by, leaving a couple of bodies in little bits and a message in blood as their way of saying hi. Which is just great. Now I can add one more group to the growing list of nut-bags who want to tuck me in for a dirt nap. Simply put, if the in-laws don't get me, a dead woman, the Loki, or any one of a legion of mythological beasties just might. To top it off, I've learned that there's a cosmic war that's been raging since the dawn of creation, and somehow, I've found myself at the very center of it all. I know it's gonna be a hell of a day when death might be the least of my problems.

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