Polyhedral Computation

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Polyhedral Computation

Author : David Avis,David Bremner,Antoine Deza
Publisher : American Mathematical Soc.
Page : 163 pages
File Size : 44,9 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 9780821873328

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Polyhedral Computation by David Avis,David Bremner,Antoine Deza Pdf

Polyhedral and Algebraic Methods in Computational Geometry

Author : Michael Joswig,Thorsten Theobald
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 50,7 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9781447148173

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Polyhedral and Algebraic Methods in Computational Geometry by Michael Joswig,Thorsten Theobald Pdf

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Polyhedral Computation

Author : David Avis,David Bremner,Antoine Deza
Publisher : American Mathematical Soc.
Page : 0 pages
File Size : 42,9 Mb
Release : 2009
Category : Mathematics
ISBN : 0821846337

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Polyhedral Computation by David Avis,David Bremner,Antoine Deza Pdf

Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. They are, however, highly structured, and attention has turned to exploiting this structure, particularly symmetry. Initial applications of this approach have permitted computations previously far out of reach, but much remains to be understood and validated experimentally. The papers in this volume give a good snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montreal in October 2006 and, with one exception, the current state of affairs in this area. The exception is the inclusion of an often cited 1980 technical report of Norman Zadeh, which was never published in a journal and has passed into the folklore of the discipline. This paper illustrates beautifully the work still to be done in the field: it gives a simple pivot rule for the simplex method for which it is still unknown if it yields a polynomial time algorithm.

Hybrid Systems: Computation and Control

Author : Manfred Morari,Lothar Thiele,Francesca Rossi
Publisher : Springer
Page : 695 pages
File Size : 41,7 Mb
Release : 2005-02-25
Category : Computers
ISBN : 9783540319542

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Hybrid Systems: Computation and Control by Manfred Morari,Lothar Thiele,Francesca Rossi Pdf

This book constitutes the refereed proceedings of the 8th International Workshop on Hybrid Systems: Computation and Control, HSCC 2005, held in Zurich, Switzerland in March 2005. The 40 revised full papers presented together with 2 invited papers and the abstract of an invited talk were carefully reviewed and selected from 91 submissions. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors. Among the topics addressed are tools for analysis and verification, control and optimization, modeling, engineering applications, and emerging directions in programming language support and implementation.

Hybrid Systems: Computation and Control

Author : Oded Maler,Amir Pnueli
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 45,7 Mb
Release : 2003-03-18
Category : Computers
ISBN : 9783540009139

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Hybrid Systems: Computation and Control by Oded Maler,Amir Pnueli Pdf

This book constitues the refereed proceedings of the 6th International Workshop on Hybrid Systems: Computation and Control, HSCC 2003, held in Prague, Czech Republic, in April 2003. The 36 revised full papers presented were carefully reviewed and selected from 75 submissions. All current issues in hybrid systems are addressed including formal methods for analysis and control, computational tools, as well as innovative applications in various fields such as automotive control, the immune system, electrical circuits, operating systems, and human brains.

Hybrid Systems: Computation and Control

Author : Frits W. Vaandrager,Jan H. van Schuppen
Publisher : Springer
Page : 282 pages
File Size : 48,9 Mb
Release : 2003-05-21
Category : Computers
ISBN : 9783540489832

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Hybrid Systems: Computation and Control by Frits W. Vaandrager,Jan H. van Schuppen Pdf

This volume contains the proceedings of the Second International Workshop on Hybrid Systems: Computation and Control (HSCC’99) to be held March 29- 31, 1999, in the village Berg en Dal near Nijmegen, The Netherlands. The rst workshop of this series was held in April 1998 at the University of California at Berkeley. The series follows meetings that were initiated by Anil Nerode at Cornell University. The proceedings of those meetings were published in the Springer-Verlag LNCS Series, Volumes 736, 999, 1066, 1201, and 1273. The p- ceedings of the rst workshop of the new series was published in LNCS 1386. The focus of the workshop is on modeling, control, synthesis, design, and ve- cation of hybrid systems. A hybrid system is a theoretical model for a computer controlled engineering system, with a dynamics that evolves both in a discrete state set and in a family of continuous state spaces. Research is motivated by, for example, control of electro-mechanical systems (robots), air tra c control, control of automated freeways, and chemical process control. The emerging - search area of hybrid systems overlaps both with computer science and with control theory. The interaction between researchers from these elds is expected to be fruitfull for the development of the area of hybrid systems.

Large Scale Methods to Enumerate Extreme Rays and Elementary Modes (b/w Print)

Author : Marco Terzer
Publisher : Lulu.com
Page : 170 pages
File Size : 53,8 Mb
Release : 2009
Category : Electronic
ISBN : 9781445248776

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Large Scale Methods to Enumerate Extreme Rays and Elementary Modes (b/w Print) by Marco Terzer Pdf

A major challenge in systems biology is to improve the understanding of complex metabolic networks. Here, we focus on structural analysis since it requires mainly reaction stoichiometries, in contrary to detailed dynamic methods that are often limited by insufficient knowledge on mechanisms and parameters. Thermodynamic reaction constraints and the steady state assumption reduce the solution space for valid reaction fluxes to a convex polyhedral cone. Pathway analysis methods aim at finding a unique generating set for the flux cone---called extreme rays or elementary modes. We describe critical aspects for an efficient implementation of the double description method for large scale application. The efficiency of introduced techniques is demonstrated with large application examples from combinatorics and systems biology.

Polytopes - Combinations and Computation

Author : Gil Kalai,Günter M. Ziegler
Publisher : Birkhäuser
Page : 228 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884389

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Polytopes - Combinations and Computation by Gil Kalai,Günter M. Ziegler Pdf

Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter questions motivated by the desire to understand the complexity of the simplex algorithm, or the need to study facets for use in cutting plane procedures. In addition, algorithms now provide the means to computationally study polytopes, to compute their parameters such as flag vectors, graphs and volumes, and to construct examples of large complexity. The papers of this volume thus display a wide panorama of connections of polytope theory with other fields. Areas such as discrete and computational geometry, linear and combinatorial optimization, and scientific computing have contributed a combination of questions, ideas, results, algorithms and, finally, computer programs.

Algorithms and Computation

Author : Leizhen Cai,Siu-Wing Cheng,Tak-Wah Lam
Publisher : Springer
Page : 761 pages
File Size : 46,5 Mb
Release : 2013-12-12
Category : Computers
ISBN : 9783642450303

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Algorithms and Computation by Leizhen Cai,Siu-Wing Cheng,Tak-Wah Lam Pdf

This book constitutes the refereed proceedings of the 24th International Symposium on Algorithms and Computation, ISAAC 2013, held in Hong Kong, China in December 2013. The 67 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 177 submissions for inclusion in the book. The focus of the volume in on the following topics: computation geometry, pattern matching, computational complexity, internet and social network algorithms, graph theory and algorithms, scheduling algorithms, fixed-parameter tractable algorithms, algorithms and data structures, algorithmic game theory, approximation algorithms and network algorithms.

Embedded and Ubiquitous Computing - EUC 2005

Author : Laurence T. Yang,Makoto Amamiya,Zhen Liu,Minyi Guo,Franz J. Rammig
Publisher : Springer Science & Business Media
Page : 1226 pages
File Size : 44,9 Mb
Release : 2005-11-24
Category : Computers
ISBN : 9783540308072

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Embedded and Ubiquitous Computing - EUC 2005 by Laurence T. Yang,Makoto Amamiya,Zhen Liu,Minyi Guo,Franz J. Rammig Pdf

Welcome to the proceedings of the 2005 IFIP International Conference on - bedded and Ubiquitous Computing (EUC 2005), which was held in Nagasaki, Japan, December 6–9, 2005. Embedded and ubiquitous computing is emerging rapidly as an exciting new paradigm to provide computing and communication services all the time, - erywhere. Its systems are now pervading every aspect of life to the point that they are hidden inside various appliances or can be worn unobtrusively as part of clothing and jewelry. This emergence is a natural outcome of research and technological advances in embedded systems, pervasive computing and c- munications, wireless networks, mobile computing, distributed computing and agent technologies, etc. Its tremendous impact on academics, industry, gove- ment, and daily life can be compared to that of electric motors over the past century, in fact it but promises to revolutionize life much more profoundly than elevators, electric motors or even personal computers. The EUC 2005 conference provided a forum for engineers and scientists in academia, industry, and government to address profound issues including te- nical challenges, safety, and social, legal, political, and economic issues, and to present and discuss their ideas, results, work in progress, and experience on all aspects of embedded and ubiquitous computing.

Mathematical Software - ICMS 2010

Author : Komei Fukuda,Joris van der Hoeven,Michael Joswig,Nobuki Takayama
Publisher : Springer
Page : 368 pages
File Size : 40,6 Mb
Release : 2010-09-10
Category : Computers
ISBN : 9783642155826

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Mathematical Software - ICMS 2010 by Komei Fukuda,Joris van der Hoeven,Michael Joswig,Nobuki Takayama Pdf

This book constitutes the refereed proceedings of the Third International Congress on Mathematical Software, ICMS 2010, held in Kobe, Japan in September 2010. The 49 revised full papers presented were carefully reviewed and selected for presentation. The papers are organized in topical sections on computational group theory, computation of special functions, computer algebra and reliable computing, computer tools for mathematical editing and scientific visualization, exact numeric computation for algebraic and geometric computation, formal proof, geometry and visualization, Groebner bases and applications, number theoretical software as well as software for optimization and polyhedral computation.

Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues

Author : De-Shuang Huang,Donald C. Wunsch,Daniel S. Levine,Kang-Hyun Jo
Publisher : Springer Science & Business Media
Page : 1299 pages
File Size : 52,5 Mb
Release : 2008-08-28
Category : Computers
ISBN : 9783540874409

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Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues by De-Shuang Huang,Donald C. Wunsch,Daniel S. Levine,Kang-Hyun Jo Pdf

The International Conference on Intelligent Computing (ICIC) was formed to p- vide an annual forum dedicated to the emerging and challenging topics in artificial intelligence, machine learning, bioinformatics, and computational biology, etc. It aims to bring together researchers and practitioners from both academia and ind- try to share ideas, problems and solutions related to the multifaceted aspects of intelligent computing. ICIC 2008, held in Shanghai, China, September 15–18, 2008, constituted the 4th International Conference on Intelligent Computing. It built upon the success of ICIC 2007, ICIC 2006 and ICIC 2005 held in Qingdao, Kunming and Hefei, China, 2007, 2006 and 2005, respectively. This year, the conference concentrated mainly on the theories and methodologies as well as the emerging applications of intelligent computing. Its aim was to unify the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. Therefore, the theme for this conference was “Emerging Intelligent Computing Technology and Applications”. Papers focusing on this theme were solicited, addressing theories, methodologies, and applications in science and technology.

Computer Aided Verification

Author : Constantin Enea,Akash Lal
Publisher : Springer Nature
Page : 473 pages
File Size : 48,9 Mb
Release : 2023-07-17
Category : Computers
ISBN : 9783031377037

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Computer Aided Verification by Constantin Enea,Akash Lal Pdf

The open access proceedings set LNCS 13964, 13965, 13966 constitutes the refereed proceedings of the 35th International Conference on Computer Aided Verification, CAV 2023, which was held in Paris, France, in July 2023. The 67 full papers presented in these proceedings were carefully reviewed and selected from 261 submissions. The have been organized in topical sections as follows: Part I: Automata and logic; concurrency; cyber-physical and hybrid systems; synthesis; Part II: Decision procedures; model checking; neural networks and machine learning; Part II: Probabilistic systems; security and quantum systems; software verification.

Computational Science – ICCS 2019

Author : João M. F. Rodrigues,Pedro J. S. Cardoso,Jânio Monteiro,Roberto Lam,Valeria V. Krzhizhanovskaya,Michael H. Lees,Jack J. Dongarra,Peter M.A. Sloot
Publisher : Springer
Page : 828 pages
File Size : 47,9 Mb
Release : 2019-06-07
Category : Computers
ISBN : 9783030227500

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Computational Science – ICCS 2019 by João M. F. Rodrigues,Pedro J. S. Cardoso,Jânio Monteiro,Roberto Lam,Valeria V. Krzhizhanovskaya,Michael H. Lees,Jack J. Dongarra,Peter M.A. Sloot Pdf

The five-volume set LNCS 11536, 11537, 11538, 11539, and 11540 constitutes the proceedings of the 19th International Conference on Computational Science, ICCS 2019, held in Faro, Portugal, in June 2019. The total of 65 full papers and 168 workshop papers presented in this book set were carefully reviewed and selected from 573 submissions (228 submissions to the main track and 345 submissions to the workshops). The papers were organized in topical sections named: Part I: ICCS Main Track Part II: ICCS Main Track; Track of Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Track of Agent-Based Simulations, Adaptive Algorithms and Solvers; Track of Applications of Matrix Methods in Artificial Intelligence and Machine Learning; Track of Architecture, Languages, Compilation and Hardware Support for Emerging and Heterogeneous Systems Part III: Track of Biomedical and Bioinformatics Challenges for Computer Science; Track of Classifier Learning from Difficult Data; Track of Computational Finance and Business Intelligence; Track of Computational Optimization, Modelling and Simulation; Track of Computational Science in IoT and Smart Systems Part IV: Track of Data-Driven Computational Sciences; Track of Machine Learning and Data Assimilation for Dynamical Systems; Track of Marine Computing in the Interconnected World for the Benefit of the Society; Track of Multiscale Modelling and Simulation; Track of Simulations of Flow and Transport: Modeling, Algorithms and Computation Part V: Track of Smart Systems: Computer Vision, Sensor Networks and Machine Learning; Track of Solving Problems with Uncertainties; Track of Teaching Computational Science; Poster Track ICCS 2019 Chapter “Comparing Domain-decomposition Methods for the Parallelization of Distributed Land Surface Models” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Discrete Geometry and Optimization

Author : Károly Bezdek,Antoine Deza,Yinyu Ye
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 52,8 Mb
Release : 2013-07-09
Category : Mathematics
ISBN : 9783319002002

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Discrete Geometry and Optimization by Károly Bezdek,Antoine Deza,Yinyu Ye Pdf

​Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to further stimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tóth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified this approach. While these fields have recently witnessed a lot of activity and successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial time algorithm for linear optimization is one of the most important unsolved problems at the beginning of the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections between different approaches, and features novel results and state-of-the-art surveys as well as open problems.