Algebraic and Geometric Ideas in the Theory of Discrete Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Ideas in the Theory of Discrete Optimization write by Jesus A. De Loera. This book was released on 2013-01-31. Algebraic and Geometric Ideas in the Theory of Discrete Optimization available in PDF, EPUB and Kindle. In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.
Semidefinite Optimization and Convex Algebraic Geometry
Semidefinite Optimization and Convex Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semidefinite Optimization and Convex Algebraic Geometry write by Grigoriy Blekherman. This book was released on 2013-03-21. Semidefinite Optimization and Convex Algebraic Geometry available in PDF, EPUB and Kindle. An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Digital and Discrete Geometry
Digital and Discrete Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Digital and Discrete Geometry write by Li M. Chen. This book was released on 2014-12-12. Digital and Discrete Geometry available in PDF, EPUB and Kindle. This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.
Algebraic and Geometric Methods in Discrete Optimization
Algebraic and Geometric Methods in Discrete Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Methods in Discrete Optimization write by Karen Aardal. This book was released on 2003. Algebraic and Geometric Methods in Discrete Optimization available in PDF, EPUB and Kindle.
Discrete Geometry and Algebraic Combinatorics
Discrete Geometry and Algebraic Combinatorics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Geometry and Algebraic Combinatorics write by Alexander Barg. This book was released on 2014-08-28. Discrete Geometry and Algebraic Combinatorics available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.
