Probability Theory Of Classical Euclidean Optimization Problems

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Probability Theory of Classical Euclidean Optimization Problems

Joseph E. Yukich
Probability Theory of Classical Euclidean Optimization Problems Book PDF

Author : Joseph E. Yukich
Publisher : Springer
Page : 162 pages
File Size : 43,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540696278

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Probability Theory of Classical Euclidean Optimization Problems by Joseph E. Yukich Pdf

This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.

Probability Theory and Combinatorial Optimization

J. Michael Steele
Probability Theory and Combinatorial Optimization Book PDF

Author : J. Michael Steele
Publisher : SIAM
Page : 164 pages
File Size : 42,5 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 9780898713800

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Probability Theory and Combinatorial Optimization by J. Michael Steele Pdf

An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.

Handbook of Combinatorial Optimization and Probability Theory

Louisa A. May
Handbook of Combinatorial Optimization and Probability Theory Book PDF

Author : Louisa A. May
Publisher : Unknown
Page : 392 pages
File Size : 55,9 Mb
Release : 2012-09
Category : Combinatorial optimization
ISBN : 1781540926

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Handbook of Combinatorial Optimization and Probability Theory by Louisa A. May Pdf

This handbook provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization, with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings. There are several nongeometric optimization problems that receive full treatment, and these include the problems of the longest common subsequence and the longest increasing subsequence.

The Euclidean Matching Problem

Gabriele Sicuro
The Euclidean Matching Problem Book PDF

Author : Gabriele Sicuro
Publisher : Springer
Page : 136 pages
File Size : 47,9 Mb
Release : 2016-10-24
Category : Science
ISBN : 9783319465777

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The Euclidean Matching Problem by Gabriele Sicuro Pdf

This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.

FSTTCS 2005: Foundations of Software Technology and Theoretical Computer Science

R. Ramanujam
FSTTCS 2005 Foundations of Software Technology and Theoretical Computer Science Book PDF

Author : R. Ramanujam
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 52,7 Mb
Release : 2005-12-07
Category : Computers
ISBN : 9783540304951

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FSTTCS 2005: Foundations of Software Technology and Theoretical Computer Science by R. Ramanujam Pdf

This book constitutes the refereed proceedings of the 25th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2005, held in Hyderabad, India, in December 2005. The 38 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 167 submissions. A broad variety of current topics from the theory of computing are addressed, ranging from software science, programming theory, systems design and analysis, formal methods, mathematical logic, mathematical foundations, discrete mathematics, combinatorial mathematics, complexity theory, and automata theory to theoretical computer science in general.

Probability on Discrete Structures

Harry Kesten
Probability on Discrete Structures Book PDF

Author : Harry Kesten
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 40,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662094440

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Probability on Discrete Structures by Harry Kesten Pdf

Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Algorithms and Data Structures

Frank Dehne,John Iacono,Jörg-Rüdiger Sack
Algorithms and Data Structures Book PDF

Author : Frank Dehne,John Iacono,Jörg-Rüdiger Sack
Publisher : Springer
Page : 718 pages
File Size : 43,5 Mb
Release : 2011-07-18
Category : Computers
ISBN : 9783642223006

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Algorithms and Data Structures by Frank Dehne,John Iacono,Jörg-Rüdiger Sack Pdf

This book constitutes the refereed proceedings of the 12th Algorithms and Data Structures Symposium, WADS 2011, held in New York, NY, USA, in August 2011. The Algorithms and Data Structures Symposium - WADS (formerly "Workshop on Algorithms and Data Structures") is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. The 59 revised full papers presented in this volume were carefully reviewed and selected from 141 submissions. The papers present original research on the theory and application of algorithms and data structures in all areas, including combinatorics, computational geometry, databases, graphics, parallel and distributed computing.

Mathematical Constants

Steven R. Finch
Mathematical Constants Book PDF

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 634 pages
File Size : 42,9 Mb
Release : 2003-08-18
Category : Mathematics
ISBN : 0521818052

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Mathematical Constants by Steven R. Finch Pdf

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

The Traveling Salesman Problem and Its Variations

G. Gutin,A.P. Punnen
The Traveling Salesman Problem and Its Variations Book PDF

Author : G. Gutin,A.P. Punnen
Publisher : Springer Science & Business Media
Page : 837 pages
File Size : 45,7 Mb
Release : 2006-05-02
Category : Computers
ISBN : 9780306482137

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The Traveling Salesman Problem and Its Variations by G. Gutin,A.P. Punnen Pdf

A brilliant treatment of a knotty problem in computing. This volume contains chapters written by reputable researchers and provides the state of the art in theory and algorithms for the traveling salesman problem (TSP). The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, branch and bound, and branch and cut algorithms, probabilistic aspects of TSP, and includes a thorough computational analysis of heuristic and metaheuristic algorithms.

Approximation of Free-Discontinuity Problems

Andrea Braides
Approximation of Free Discontinuity Problems Book PDF

Author : Andrea Braides
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 52,9 Mb
Release : 1998-09-17
Category : Mathematics
ISBN : 3540647716

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Approximation of Free-Discontinuity Problems by Andrea Braides Pdf

Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.

Consistency Problems for Heath-Jarrow-Morton Interest Rate Models

Damir Filipovic
Consistency Problems for Heath Jarrow Morton Interest Rate Models Book PDF

Author : Damir Filipovic
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 44,5 Mb
Release : 2001-03-27
Category : Mathematics
ISBN : 3540414932

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Consistency Problems for Heath-Jarrow-Morton Interest Rate Models by Damir Filipovic Pdf

Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.

Recent Advances in Applied Probability

Ricardo Baeza-Yates,Joseph Glaz,Henryk Gzyl,Jürg Hüsler,José Luis Palacios
Recent Advances in Applied Probability Book PDF

Author : Ricardo Baeza-Yates,Joseph Glaz,Henryk Gzyl,Jürg Hüsler,José Luis Palacios
Publisher : Springer Science & Business Media
Page : 497 pages
File Size : 49,9 Mb
Release : 2006-02-28
Category : Mathematics
ISBN : 9780387233949

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Recent Advances in Applied Probability by Ricardo Baeza-Yates,Joseph Glaz,Henryk Gzyl,Jürg Hüsler,José Luis Palacios Pdf

Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.

Lectures on Global Optimization

Thomas Frederick Coleman
Lectures on Global Optimization Book PDF

Author : Thomas Frederick Coleman
Publisher : American Mathematical Soc.
Page : 257 pages
File Size : 55,7 Mb
Release : 2009
Category : Mathematical optimization
ISBN : 9780821844854

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Lectures on Global Optimization by Thomas Frederick Coleman Pdf

A large number of mathematical models in many diverse areas of science and engineering have lead to the formulation of optimization problems where the best solution (globally optimal) is needed. This book covers a small subset of important topics in global optimization with emphasis on theoretical developments and scientific applications.

Computational Mathematics Driven by Industrial Problems

R. Burkard,P. Deuflhard,A. Jameson,J.-L. Lions,G. Strang
Computational Mathematics Driven by Industrial Problems Book PDF

Author : R. Burkard,P. Deuflhard,A. Jameson,J.-L. Lions,G. Strang
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 43,8 Mb
Release : 2000-11-16
Category : Computers
ISBN : 3540677828

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Computational Mathematics Driven by Industrial Problems by R. Burkard,P. Deuflhard,A. Jameson,J.-L. Lions,G. Strang Pdf

These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems. The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM.

Similarity Problems and Completely Bounded Maps

Gilles Pisier
Similarity Problems and Completely Bounded Maps Book PDF

Author : Gilles Pisier
Publisher : Springer
Page : 202 pages
File Size : 45,8 Mb
Release : 2004-10-14
Category : Mathematics
ISBN : 9783540445630

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Similarity Problems and Completely Bounded Maps by Gilles Pisier Pdf

These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.