Lectures On Proof Verification And Approximation Algorithms

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Lectures on Proof Verification and Approximation Algorithms

Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger
Lectures on Proof Verification and Approximation Algorithms Book PDF

Author : Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger
Publisher : Springer
Page : 351 pages
File Size : 53,7 Mb
Release : 2006-06-08
Category : Computers
ISBN : 9783540697015

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Lectures on Proof Verification and Approximation Algorithms by Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger Pdf

During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.

Lectures on Proof Verification and Approximation Algorithms

Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger
Lectures on Proof Verification and Approximation Algorithms Book PDF

Author : Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger
Publisher : Springer
Page : 348 pages
File Size : 54,8 Mb
Release : 1998-02-25
Category : Computers
ISBN : 3540642013

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Lectures on Proof Verification and Approximation Algorithms by Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger Pdf

During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.

Handbook of Approximation Algorithms and Metaheuristics

Teofilo F. Gonzalez
Handbook of Approximation Algorithms and Metaheuristics Book PDF

Author : Teofilo F. Gonzalez
Publisher : CRC Press
Page : 1434 pages
File Size : 49,5 Mb
Release : 2007-05-15
Category : Computers
ISBN : 9781420010749

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Handbook of Approximation Algorithms and Metaheuristics by Teofilo F. Gonzalez Pdf

Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical applications. It is the first book to comprehensively study both approximation algorithms and metaheuristics. Starting with basic approaches, the handbook presents the methodologies to design and analyze efficient approximation algorithms for a large class of problems, and to establish inapproximability results for another class of problems. It also discusses local search, neural networks, and metaheuristics, as well as multiobjective problems, sensitivity analysis, and stability. After laying this foundation, the book applies the methodologies to classical problems in combinatorial optimization, computational geometry, and graph problems. In addition, it explores large-scale and emerging applications in networks, bioinformatics, VLSI, game theory, and data analysis. Undoubtedly sparking further developments in the field, this handbook provides the essential techniques to apply approximation algorithms and metaheuristics to a wide range of problems in computer science, operations research, computer engineering, and economics. Armed with this information, researchers can design and analyze efficient algorithms to generate near-optimal solutions for a wide range of computational intractable problems.

Recent Advances in Algorithms and Combinatorics

Bruce A. Reed,Claudia L. Linhares-Sales
Recent Advances in Algorithms and Combinatorics Book PDF

Author : Bruce A. Reed,Claudia L. Linhares-Sales
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 47,9 Mb
Release : 2006-05-17
Category : Mathematics
ISBN : 9780387224442

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Recent Advances in Algorithms and Combinatorics by Bruce A. Reed,Claudia L. Linhares-Sales Pdf

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

Euclidean Shortest Paths

Fajie Li,Reinhard Klette
Euclidean Shortest Paths Book PDF

Author : Fajie Li,Reinhard Klette
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 47,7 Mb
Release : 2011-11-03
Category : Computers
ISBN : 1447122569

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Euclidean Shortest Paths by Fajie Li,Reinhard Klette Pdf

This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical and programming exercises at the end of each chapter; presents a thorough introduction to shortest paths in Euclidean geometry, and the class of algorithms called rubberband algorithms; discusses algorithms for calculating exact or approximate ESPs in the plane; examines the shortest paths on 3D surfaces, in simple polyhedrons and in cube-curves; describes the application of rubberband algorithms for solving art gallery problems, including the safari, zookeeper, watchman, and touring polygons route problems; includes lists of symbols and abbreviations, in addition to other appendices.

Algorithms and Complexity

Giancarlo Bongiovanni,Giorgio Gambosi,Rosella Petreschi
Algorithms and Complexity Book PDF

Author : Giancarlo Bongiovanni,Giorgio Gambosi,Rosella Petreschi
Publisher : Springer
Page : 325 pages
File Size : 43,9 Mb
Release : 2003-06-26
Category : Computers
ISBN : 9783540465218

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Algorithms and Complexity by Giancarlo Bongiovanni,Giorgio Gambosi,Rosella Petreschi Pdf

The papers in this volume were presented at the Fourth Italian Conference on Algorithms and Complexity (CIAC 2000). The conference took place on March 1-3, 2000, in Rome (Italy), at the conference center of the University of Rome \La Sapienza". This conference was born in 1990 as a national meeting to be held every three years for Italian researchers in algorithms, data structures, complexity, and parallel and distributed computing. Due to a signi cant participation of foreign reaserchers, starting from the second conference, CIAC evolved into an international conference. In response to the call for papers for CIAC 2000, there were 41 subm- sions, from which the program committee selected 21 papers for presentation at the conference. Each paper was evaluated by at least three program committee members. In addition to the selected papers, the organizing committee invited Giorgio Ausiello, Narsingh Deo, Walter Ruzzo, and Shmuel Zaks to give plenary lectures at the conference. We wish to express our appreciation to all the authors of the submitted papers, to the program committee members and the referees, to the organizing committee, and to the plenary lecturers who accepted our invitation.

SOFSEM'99: Theory and Practice of Informatics

Jan Pavelka,Gerard Tel,Miroslav Bartosek
SOFSEM 99 Theory and Practice of Informatics Book PDF

Author : Jan Pavelka,Gerard Tel,Miroslav Bartosek
Publisher : Springer
Page : 506 pages
File Size : 53,5 Mb
Release : 2003-07-31
Category : Computers
ISBN : 9783540478492

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SOFSEM'99: Theory and Practice of Informatics by Jan Pavelka,Gerard Tel,Miroslav Bartosek Pdf

This year the SOFSEM conference is coming back to Milovy in Moravia to th be held for the 26 time. Although born as a local Czechoslovak event 25 years ago SOFSEM did not miss the opportunity oe red in 1989 by the newly found freedom in our part of Europe and has evolved into a full-?edged international conference. For all the changes, however, it has kept its generalist and mul- disciplinarycharacter.Thetracksofinvitedtalks,rangingfromTrendsinTheory to Software and Information Engineering, attest to this. Apart from the topics mentioned above, SOFSEM’99 oer s invited talks exploring core technologies, talks tracing the path from data to knowledge, and those describing a wide variety of applications. TherichcollectionofinvitedtalkspresentsonetraditionalfacetofSOFSEM: that of a winter school, in which IT researchers and professionals get an opp- tunity to see more of the large pasture of today’s computing than just their favourite grazing corner. To facilitate this purpose the prominent researchers delivering invited talks usually start with a broad overview of the state of the art in a wider area and then gradually focus on their particular subject.

Design and Analysis of Randomized Algorithms

J. Hromkovic
Design and Analysis of Randomized Algorithms Book PDF

Author : J. Hromkovic
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 44,5 Mb
Release : 2005-06-14
Category : Computers
ISBN : 9783540239499

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Design and Analysis of Randomized Algorithms by J. Hromkovic Pdf

Systematically teaches key paradigmic algorithm design methods Provides a deep insight into randomization

Artificial intelligence - When do machines take over?

Klaus Mainzer
Artificial intelligence When do machines take over Book PDF

Author : Klaus Mainzer
Publisher : Springer Nature
Page : 279 pages
File Size : 43,6 Mb
Release : 2019-10-14
Category : Technology & Engineering
ISBN : 9783662597170

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Artificial intelligence - When do machines take over? by Klaus Mainzer Pdf

Everybody knows them. Smartphones that talk to us, wristwatches that record our health data, workflows that organize themselves automatically, cars, airplanes and drones that control themselves, traffic and energy systems with autonomous logistics or robots that explore distant planets are technical examples of a networked world of intelligent systems. Machine learning is dramatically changing our civilization. We rely more and more on efficient algorithms, because otherwise we will not be able to cope with the complexity of our civilizing infrastructure. But how secure are AI algorithms? This challenge is taken up in the 2nd edition: Complex neural networks are fed and trained with huge amounts of data (big data). The number of necessary parameters explodes exponentially. Nobody knows exactly what is going on in these "black boxes". In machine learning we need more explainability and accountability of causes and effects in order to be able to decide ethical and legal questions of responsibility (e.g. in autonomous driving or medicine)! Besides causal learning, we also analyze procedures of tests and verification to get certified AI-programs. Since its inception, AI research has been associated with great visions of the future of mankind. It is already a key technology that will decide the global competition of social systems. "Artificial Intelligence and Responsibility" is another central supplement to the 2nd edition: How should we secure our individual liberty rights in the AI world? This book is a plea for technology design: AI must prove itself as a service in society.

Approximability of Optimization Problems through Adiabatic Quantum Computation

William Cruz-Santos,Guillermo Morales-Luna
Approximability of Optimization Problems through Adiabatic Quantum Computation Book PDF

Author : William Cruz-Santos,Guillermo Morales-Luna
Publisher : Springer Nature
Page : 105 pages
File Size : 46,6 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031025198

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Approximability of Optimization Problems through Adiabatic Quantum Computation by William Cruz-Santos,Guillermo Morales-Luna Pdf

The adiabatic quantum computation (AQC) is based on the adiabatic theorem to approximate solutions of the Schrödinger equation. The design of an AQC algorithm involves the construction of a Hamiltonian that describes the behavior of the quantum system. This Hamiltonian is expressed as a linear interpolation of an initial Hamiltonian whose ground state is easy to compute, and a final Hamiltonian whose ground state corresponds to the solution of a given combinatorial optimization problem. The adiabatic theorem asserts that if the time evolution of a quantum system described by a Hamiltonian is large enough, then the system remains close to its ground state. An AQC algorithm uses the adiabatic theorem to approximate the ground state of the final Hamiltonian that corresponds to the solution of the given optimization problem. In this book, we investigate the computational simulation of AQC algorithms applied to the MAX-SAT problem. A symbolic analysis of the AQC solution is given in order to understand the involved computational complexity of AQC algorithms. This approach can be extended to other combinatorial optimization problems and can be used for the classical simulation of an AQC algorithm where a Hamiltonian problem is constructed. This construction requires the computation of a sparse matrix of dimension 2n × 2n, by means of tensor products, where n is the dimension of the quantum system. Also, a general scheme to design AQC algorithms is proposed, based on a natural correspondence between optimization Boolean variables and quantum bits. Combinatorial graph problems are in correspondence with pseudo-Boolean maps that are reduced in polynomial time to quadratic maps. Finally, the relation among NP-hard problems is investigated, as well as its logical representability, and is applied to the design of AQC algorithms. It is shown that every monadic second-order logic (MSOL) expression has associated pseudo-Boolean maps that can be obtained by expanding the given expression, and also can be reduced to quadratic forms. Table of Contents: Preface / Acknowledgments / Introduction / Approximability of NP-hard Problems / Adiabatic Quantum Computing / Efficient Hamiltonian Construction / AQC for Pseudo-Boolean Optimization / A General Strategy to Solve NP-Hard Problems / Conclusions / Bibliography / Authors' Biographies

Exploring New Frontiers of Theoretical Informatics

Jean-Jacques Lévy,Ernst W. Mayr,John C. Mitchell
Exploring New Frontiers of Theoretical Informatics Book PDF

Author : Jean-Jacques Lévy,Ernst W. Mayr,John C. Mitchell
Publisher : Springer
Page : 676 pages
File Size : 55,6 Mb
Release : 2006-04-11
Category : Computers
ISBN : 9781402081415

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Exploring New Frontiers of Theoretical Informatics by Jean-Jacques Lévy,Ernst W. Mayr,John C. Mitchell Pdf

In recent years, IT application scenarios have evolved in very innovative ways. Highly distributed networks have now become a common platform for large-scale distributed programming, high bandwidth communications are inexpensive and widespread, and most of our work tools are equipped with processors enabling us to perform a multitude of tasks. In addition, mobile computing (referring specifically to wireless devices and, more broadly, to dynamically configured systems) has made it possible to exploit interaction in novel ways. To harness the flexibility and power of these rapidly evolving, interactive systems, there is need of radically new foundational ideas and principles; there is need to develop the theoretical foundations required to design these systems and to cope with the many complex issues involved in their construction; and there is need to develop effective principles for building and analyzing such systems. Reflecting the diverse and wide spectrum of topics and interests within the theoretical computer science community, Exploring New Frontiers of Theoretical Informatics, is presented in two distinct but interrelated tracks: -Algorithms, Complexity and Models of Computation, -Logic, Semantics, Specification and Verification. Exploring New Frontiers of Theoretical Informatics contains 46 original and significant contributions addressing these foundational questions, as well as 4 papers by outstanding invited speakers. These papers were presented at the 3rd IFIP International Conference on Theoretical Computer Science (TCS 2004), which was held in conjunction with the 18th World Computer Congress in Toulouse, France in August 2004 and sponsored by the International Federation for Information Processing (IFIP).

Discrete and Computational Geometry

Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Discrete and Computational Geometry Book PDF

Author : Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Publisher : Springer Science & Business Media
Page : 853 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642555664

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Discrete and Computational Geometry by Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir Pdf

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

STACS 2004

Volker Diekert,Michel Habib
STACS 2004 Book PDF

Author : Volker Diekert,Michel Habib
Publisher : Springer
Page : 660 pages
File Size : 53,5 Mb
Release : 2004-03-13
Category : Computers
ISBN : 9783540247494

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STACS 2004 by Volker Diekert,Michel Habib Pdf

The Symposium on Theoretical Aspects of Computer Science (STACS) is alt- nately held in France and in Germany. The conference of March 25-27, 2004 at the Corum, Montpellier was the twenty-?rst in this series. Previous meetings took place in Paris (1984), Saarbruc ̈ ken (1985), Orsay (1986), Passau (1987), Bordeaux (1988), Paderborn (1989), Rouen (1990), Hamburg (1991), Cachan (1992),Wurzburg ̈ (1993),Caen(1994),Munc ̈ hen(1995),Grenoble(1996),Lub ̈ eck (1997), Paris (1998), Trier (1999), Lille (2000), Dresden (2001), Antibes (2002), and Berlin (2003). The symposium looks back at a remarkable tradition of over 20 years. The interest in STACS has been increasing continuously during recent years and has turned it into one of the most signi?cant conferences in theoretical computer science. The STACS 2004 call for papers led to more than 200 submissions from all over the world. Thereviewingprocesswasextremelyhard:morethan800reviewsweredone. We would like to thank the program committee and all external referees for the valuable work they put into the reviewing process of this conference. We had a two-day meeting for the program committee in Montpellier during November 21-22, 2003. Just 54 papers (i.e., 27% of the submissions) could be accepted, as we wanted to keep the conference in its standard format with only two parallel sessions. This strict selection guaranteed the very high scienti?c quality of the conference.

Algorithmics for Hard Problems

Juraj Hromkovič
Algorithmics for Hard Problems Book PDF

Author : Juraj Hromkovič
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 40,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662046166

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Algorithmics for Hard Problems by Juraj Hromkovič Pdf

An introduction to the methods of designing algorithms for hard computing tasks, concentrating mainly on approximate, randomized, and heuristic algorithms, and on the theoretical and experimental comparison of these approaches according to the requirements of the practice. This is the first book to systematically explain and compare all the main possibilities of attacking hard computing problems. It also closes the gap between theory and practice by providing at once a graduate textbook and a handbook for practitioners dealing with hard computing problems.

Theoretical Computer Science

Juraj Hromkovič
Theoretical Computer Science Book PDF

Author : Juraj Hromkovič
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 47,8 Mb
Release : 2003-09-18
Category : Computers
ISBN : 3540140158

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Theoretical Computer Science by Juraj Hromkovič Pdf

Juraj Hromkovic takes the reader on an elegant route through the theoretical fundamentals of computer science. The author shows that theoretical computer science is a fascinating discipline, full of spectacular contributions and miracles. The book also presents the development of the computer scientist's way of thinking as well as fundamental concepts such as approximation and randomization in algorithmics, and the basic ideas of cryptography and interconnection network design.