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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.?
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
Advances in Mixed Methods Research provides an essential introduction to the fast-growing field of mixed methods research. Bergman′s book examines the current state of mixed-methods research, exploring exciting new ways of conceptualizing and conducting empirical research in the social and health sciences. Contributions from the world′s leading experts in qualitative, quantitative, and mixed methods approaches are brought together, clearing the way for a more constructive approach to social research. These contributions cover the main practical and methodological issues and include a number of different visions of what mixed methods research is. The discussion also covers the use of mixe...
Following the success of 'Issues', this title explores the very latest trends and creative design styles in contemporary magazines from around the world. Short interviews, essays and comment pieces focus on key themes such as logo design, Japanese magazines, French fashion magazines and branding.