Divide and Conquer Algorithms for Multi-dimensional Problems PDF Download
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Author: Benjamin Qochuk
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
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Book Description
This book "Divide and Conquer Algorithms for Multi-dimensional Problems" not only present algorithms and analysis of advanced real-life problems but also prepares you to have a deep understanding of how these algorithms were originally designed and an ability to solve some of the most insightful algorithmic problems.This is a must read if you want to dive deeper into understanding Algorithms and its advanced applications.Multidimensional divide and conquer is an algorithmic technique that can be used to develop several algorithms and data structures for multi-dimensional problems. It is an extension of Divide and Conquer algorithms.The basic idea of Divide and Conquer is to divide the problem into smaller problems, solve the smaller problems and use the answers from the smaller problems to get the answer to the larger problem.Merge Sort is a popular algorithm that applies Divide and Conquer to sort 1-dimensional data.Extending such algorithms for Multi-dimensional data is not simple but it is an interesting approach that which nurture your thinking process and is more widely used as it reflects real-life problems.This is important as most real-life problems are multi-dimensional like: o A map of Earth is a 2-dimensional datao Text is a multi-dimensional data for Clustering problemso Augmented reality is usually 3-dimensional datao Game graphics are at-least 3-dimensional datao Physics consider our Universe to be 11-dimensional dataWe use this paradigm to give best-known solutions to problems such as: o Empirical Cumulative Distribution Functions problem (ECDF)o Maxima problemo Range searching problemo Closest pair problemo All nearest neighbor problemsFor all problems, we have demonstrated 1-dimension problem, 2-dimension problem, 3-dimension problem, k-dimension problem (all with time complexity analysis) and real-life applications.We, also, presented open question in this domain which you can think about and potentially, develop a solution.This book has been carefully prepared and reviewed by Algorithmic researchers at OpenGenus and Tokyo Institute of Technology. We would like to thank Aditya Chatterjee and Benjamin QoChuk for their expertise in this domain.Read this book now and change the way you think about algorithms. This is a must read for everyone who wants to truely understand Algorithms and apply it to solve advanced problem
Author: Benjamin Qochuk
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
Get Book Here
Book Description
This book "Divide and Conquer Algorithms for Multi-dimensional Problems" not only present algorithms and analysis of advanced real-life problems but also prepares you to have a deep understanding of how these algorithms were originally designed and an ability to solve some of the most insightful algorithmic problems.This is a must read if you want to dive deeper into understanding Algorithms and its advanced applications.Multidimensional divide and conquer is an algorithmic technique that can be used to develop several algorithms and data structures for multi-dimensional problems. It is an extension of Divide and Conquer algorithms.The basic idea of Divide and Conquer is to divide the problem into smaller problems, solve the smaller problems and use the answers from the smaller problems to get the answer to the larger problem.Merge Sort is a popular algorithm that applies Divide and Conquer to sort 1-dimensional data.Extending such algorithms for Multi-dimensional data is not simple but it is an interesting approach that which nurture your thinking process and is more widely used as it reflects real-life problems.This is important as most real-life problems are multi-dimensional like: o A map of Earth is a 2-dimensional datao Text is a multi-dimensional data for Clustering problemso Augmented reality is usually 3-dimensional datao Game graphics are at-least 3-dimensional datao Physics consider our Universe to be 11-dimensional dataWe use this paradigm to give best-known solutions to problems such as: o Empirical Cumulative Distribution Functions problem (ECDF)o Maxima problemo Range searching problemo Closest pair problemo All nearest neighbor problemsFor all problems, we have demonstrated 1-dimension problem, 2-dimension problem, 3-dimension problem, k-dimension problem (all with time complexity analysis) and real-life applications.We, also, presented open question in this domain which you can think about and potentially, develop a solution.This book has been carefully prepared and reviewed by Algorithmic researchers at OpenGenus and Tokyo Institute of Technology. We would like to thank Aditya Chatterjee and Benjamin QoChuk for their expertise in this domain.Read this book now and change the way you think about algorithms. This is a must read for everyone who wants to truely understand Algorithms and apply it to solve advanced problem
Author: Rudolf Fleischer
Publisher: Springer Science & Business Media
ISBN: 3540241310
Category : Computers
Languages : en
Pages : 951
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Book Description
This book constitutes the refereed proceedings of the 15th International Symposium on Algorithms and Computation, ISAAC 2004, held in Hong Kong, China in December 2004. The 76 revised full papers presented were carefully reviewed and selected from 226 submissions. Among the topics addressed are computational geometry, graph computations, computational combinatorics, combinatorial optimization, computational complexity, scheduling, distributed algorithms, parallel algorithms, data structures, network optimization, randomized algorithms, and computational mathematics more generally.
Author: Wolfgang Händler
Publisher: Springer Science & Business Media
ISBN: 9783540108276
Category : Computers
Languages : en
Pages : 526
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Book Description
Author: K. Mehlhorn
Publisher: Springer Science & Business Media
ISBN: 3642699006
Category : Computers
Languages : en
Pages : 294
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Book Description
Author: Sandeep Nautam Bhatt
Publisher: American Mathematical Soc.
ISBN: 9780821870754
Category : Computers
Languages : en
Pages : 184
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Book Description
This volume is the result of the Third DIMACS Implementation Challenge that was conducted as part of the 1993-94 Special year on Parallel Algorithms. The Implementation Challenge was formulated in order to provide a forum for a concerted effort to study effective algorithms for combinatorial problems and to investigate opportunities for massive speed-ups on parallel computers. The challenge invluded two problem areas for research study: tree searching, algorithms, used in game search and combinatorial optimization, for example, and algorithms for sparse graphs. Participants at sites in the US and Europe undertook projects from November 1993 through October 1994. The workshop was held at DIMACS in November 1994. Participants were encouraged to share test results, to rework their implementations considering feedback at the workshop, and to submit a final report for the proceedings. Nine papers were selected for this volume.
Author: Benson Farb
Publisher: American Mathematical Society
ISBN: 1470474700
Category : Mathematics
Languages : en
Pages : 629
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Book Description
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume III contains William Thurston's papers on dynamics and computer science, and papers written for general audiences. Additional miscellaneous papers are also included, such as his 1967 New College undergraduate thesis, which foreshadows his later work.
Author: Michael S. Paterson
Publisher: Springer Science & Business Media
ISBN: 354041004X
Category : Computers
Languages : en
Pages : 463
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Book Description
This book constitutes the refereed proceedings of the 8th Annual European Symposium on Algorithms, ESA 2000, held in Saarbrcken, Germany in September 2000. The 39 revised full papers presented together with two invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are parallelism, distributed systems, approximation, combinatorial optimization, computational biology, computational geometry, external-memory algorithms, graph algorithms, network algorithms, online algorithms, data compression, symbolic computation, pattern matching, and randomized algorithms.
Author: K. Mehlhorn
Publisher: Springer Science & Business Media
ISBN: 3642698972
Category : Computers
Languages : en
Pages : 272
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Book Description
Author: Mikhail J. Atallah
Publisher: CRC Press
ISBN: 1584888210
Category : Computers
Languages : en
Pages : 932
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Book Description
Algorithms and Theory of Computation Handbook, Second Edition: Special Topics and Techniques provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems.Along with updating and revising many of
Author: Erol Gelenbe
Publisher: Springer Science & Business Media
ISBN: 3319016040
Category : Computers
Languages : en
Pages : 425
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Book Description
Based on a rigorous selection from 58 proposals coming from across the world, this volume will include some of the most recent ideas and technical results in computer systems, computer science, and computer-communication networks. The book will offer the reader with a timely access to innovative research from many different areas of the world where advances in computing and communications are created.
