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Geometric Approximation Algorithms in the Online and Data Stream Models

2008
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Release : 2008
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Book Synopsis Geometric Approximation Algorithms in the Online and Data Stream Models by : Hamid Zarrabi-Zadeh

Download or read book Geometric Approximation Algorithms in the Online and Data Stream Models written by Hamid Zarrabi-Zadeh. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: The online and data stream models of computation have recently attracted considerable research attention due to many real-world applications in various areas such as data mining, machine learning, distributed computing, and robotics. In both these models, input items arrive one at a time, and the algorithms must decide based on the partial data received so far, without any secure information about the data that will arrive in the future. In this thesis, we investigate efficient algorithms for a number of fundamental geometric optimization problems in the online and data stream models. The problems studied in this thesis can be divided into two major categories: geometric clustering and computing various extent measures of a set of points.

Geometric Approximation Algorithms

2011 Computers
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Release : 2011
Genre : Computers
Kind : eBook
Book Rating : 115/5 ( reviews)

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Book Synopsis Geometric Approximation Algorithms by : Sariel Har-Peled

Download or read book Geometric Approximation Algorithms written by Sariel Har-Peled. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Exact algorithms for dealing with geometric objects are complicated, hard to implement in practice, and slow. Over the last 20 years a theory of geometric approximation algorithms has emerged. These algorithms tend to be simple, fast, and more robust than their exact counterparts. This book is the first to cover geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such algorithms, like sampling, linear programming, etc., are also surveyed. Other topics covered include approximate nearest-neighbor search, shape approximation, coresets, dimension reduction, and embeddings. The topics covered are relatively independent and are supplemented by exercises. Close to 200 color figures are included in the text to illustrate proofs and ideas.

Approximation and Online Algorithms

2022-10-20 Mathematics
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Release : 2022-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 673/5 ( reviews)

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Book Synopsis Approximation and Online Algorithms by : Parinya Chalermsook

Download or read book Approximation and Online Algorithms written by Parinya Chalermsook. This book was released on 2022-10-20. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the thoroughly refereed workshop proceedings of the 20th International Workshop on Approximation and Online Algorithms, WAOA 2022, which was colocated with ALGO 2022 and took place in Potsdam, Germany, in September 2022. The 12 papers included in these proceedings were carefully reviewed and selected from21 submissions. They focus on topics such as graph algorithms, network design, algorithmic game theory, approximation and online algorithms, etc.

Approximation Algorithms for Complex Systems

2011-01-04 Mathematics
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Release : 2011-01-04
Genre : Mathematics
Kind : eBook
Book Rating : 760/5 ( reviews)

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Book Synopsis Approximation Algorithms for Complex Systems by : Emmanuil H Georgoulis

Download or read book Approximation Algorithms for Complex Systems written by Emmanuil H Georgoulis. This book was released on 2011-01-04. Available in PDF, EPUB and Kindle. Book excerpt: This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few. The 14 papers in this volume document modern trends in approximation through recent theoretical developments, important computational aspects and multidisciplinary applications. The book is arranged in seven invited surveys, followed by seven contributed research papers. The surveys of the first seven chapters are addressing the following relevant topics: emergent behaviour in large electrical networks, algorithms for multivariate piecewise constant approximation, anisotropic triangulation methods in adaptive image approximation, form assessment in coordinate metrology, discontinuous Galerkin methods for linear problems, a numerical analyst's view of the lattice Boltzmann method, approximation of probability measures on manifolds. Moreover, the diverse contributed papers of the remaining seven chapters reflect recent developments in approximation theory, approximation practice and their applications. Graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms will find this a valuable volume. Established researchers from statisticians through to fluid modellers will find interesting new approaches to solving familiar but challenging problems. This book grew out of the sixth in the conference series on "Algorithms for Approximation", which took place from 31st August to September 4th 2009 in Ambleside in the Lake District of the United Kingdom.

Computing and Combinatorics

2017-07-25 Computers
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Release : 2017-07-25
Genre : Computers
Kind : eBook
Book Rating : 893/5 ( reviews)

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Book Synopsis Computing and Combinatorics by : Yixin Cao

Download or read book Computing and Combinatorics written by Yixin Cao. This book was released on 2017-07-25. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 23rd International Conference on Computing and Combinatorics, COCOON 2017, held in Hiong Kong, China, in August 2017. The 56 full papers papers presented in this book were carefully reviewed and selected from 119 submissions. The papers cover various topics, including algorithms and data structures, complexity theory and computability, algorithmic game theory, computational learning theory, cryptography, computationalbiology, computational geometry and number theory, graph theory, and parallel and distributed computing.

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