Combinatorial Conditions For Low Rank Solutions In Semidefinite Programming
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Combinatorial Conditions For Low Rank Solutions In Semidefinite Programming
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Author :
language : en
Publisher:
Release Date : 2013
Combinatorial Conditions For Low Rank Solutions In Semidefinite Programming written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Low Rank Semidefinite Programming
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Author : Alex Lemon
language : en
Publisher: Now Publishers
Release Date : 2016-05-04
Low Rank Semidefinite Programming written by Alex Lemon and has been published by Now Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-04 with Mathematics categories.
Finding low-rank solutions of semidefinite programs is important in many applications. For example, semidefinite programs that arise as relaxations of polynomial optimization problems are exact relaxations when the semidefinite program has a rank-1 solution. Unfortunately, computing a minimum-rank solution of a semidefinite program is an NP-hard problem. This monograph reviews the theory of low-rank semidefinite programming, presenting theorems that guarantee the existence of a low-rank solution, heuristics for computing low-rank solutions, and algorithms for finding low-rank approximate solutions. It then presents applications of the theory to trust-region problems and signal processing.
Polyhedral And Semidefinite Programming Methods In Combinatorial Optimization
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Author : Levent Tuncel
language : en
Publisher: American Mathematical Soc.
Release Date :
Polyhedral And Semidefinite Programming Methods In Combinatorial Optimization written by Levent Tuncel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Recent Advances In Algorithms And Combinatorics
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Author : Bruce A. Reed
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-17
Recent Advances In Algorithms And Combinatorics written by Bruce A. Reed and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-17 with Mathematics categories.
Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research
Latin 2008 Theoretical Informatics
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Author : Eduardo Sany Laber
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-17
Latin 2008 Theoretical Informatics written by Eduardo Sany Laber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-17 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Latin American Symposium on Theoretical Informatics, LATIN 2008, held in Búzios, Brazil, in April 2008. The 66 revised full papers presented together with the extended abstract of 1 invited paper were carefully reviewed and selected from 242 submissions. The papers address a veriety of topics in theoretical computer science with a certain focus on algorithms, automata theory and formal languages, coding theory and data compression, algorithmic graph theory and combinatorics, complexity theory, computational algebra, computational biology, computational geometry, computational number theory, cryptography, theoretical aspects of databases and information retrieval, data structures, networks, logic in computer science, machine learning, mathematical programming, parallel and distributed computing, pattern matching, quantum computing and random structures.
On Semidefinite Programming And Applications In Combinatorial Optimization
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Author : Gerald Gruber
language : en
Publisher:
Release Date : 2000
On Semidefinite Programming And Applications In Combinatorial Optimization written by Gerald Gruber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Semidefinite Optimization And Convex Algebraic Geometry
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Author : Grigoriy Blekherman
language : en
Publisher: SIAM
Release Date : 2013-03-21
Semidefinite Optimization And Convex Algebraic Geometry written by Grigoriy Blekherman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-21 with Mathematics categories.
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Generalized Low Rank Models
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Author : Madeleine Udell
language : en
Publisher:
Release Date : 2015
Generalized Low Rank Models written by Madeleine Udell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Principal components analysis (PCA) is a well-known technique for approximating a tabular data set by a low rank matrix. This dissertation extends the idea of PCA to handle arbitrary data sets consisting of numerical, Boolean, categorical, ordinal, and other data types. This framework encompasses many well known techniques in data analysis, such as nonnegative matrix factorization, matrix completion, sparse and robust PCA, k-means, k-SVD, and maximum margin matrix factorization. The method handles heterogeneous data sets, and leads to coherent schemes for compressing, denoising, and imputing missing entries across all data types simultaneously. It also admits a number of interesting interpretations of the low rank factors, which allow clustering of examples or of features. We propose several parallel algorithms for fitting generalized low rank models, and describe implementations and numerical results.
Semidefinite Programming And Interior Point Approaches For Combinatorial Optimization Problems
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Author : Panos M. Pardalos
language : en
Publisher:
Release Date : 1998
Semidefinite Programming And Interior Point Approaches For Combinatorial Optimization Problems written by Panos M. Pardalos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Completely Positive Matrices
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Author : Abraham Berman
language : en
Publisher: World Scientific
Release Date : 2003
Completely Positive Matrices written by Abraham Berman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
A real matrix is positive semidefinite if it can be decomposed as A = BBOC . In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A = BBOC is known as the cp- rank of A . This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp- rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined. Contents: Preliminaries: Matrix Theoretic Background; Positive Semidefinite Matrices; Nonnegative Matrices and M -Matrices; Schur Complements; Graphs; Convex Cones; The PSD Completion Problem; Complete Positivity: Definition and Basic Properties; Cones of Completely Positive Matrices; Small Matrices; Complete Positivity and the Comparison Matrix; Completely Positive Graphs; Completely Positive Matrices Whose Graphs are Not Completely Positive; Square Factorizations; Functions of Completely Positive Matrices; The CP Completion Problem; CP Rank: Definition and Basic Results; Completely Positive Matrices of a Given Rank; Completely Positive Matrices of a Given Order; When is the CP-Rank Equal to the Rank?. Readership: Upper level undergraduates, graduate students, academics and researchers interested in matrix theory."