Computational Complexity And Feasibility Of Data Processing And Interval Computations

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Computational Complexity and Feasibility of Data Processing and Interval Computations

Author : V. Kreinovich
Publisher : Springer Science & Business Media
ISBN 13 : 1475727933
Total Pages : 460 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Computational Complexity and Feasibility of Data Processing and Interval Computations by : V. Kreinovich

Download or read book Computational Complexity and Feasibility of Data Processing and Interval Computations written by V. Kreinovich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted audience • Specialists in numerical computations, especially in numerical optimiza tion, who are interested in designing algorithms with automatie result ver ification, and who would therefore be interested in knowing how general their algorithms caIi in principle be. • Mathematicians and computer scientists who are interested in the theory 0/ computing and computational complexity, especially computational com plexity of numerical computations. • Students in applied mathematics and computer science who are interested in computational complexity of different numerical methods and in learning general techniques for estimating this computational complexity. The book is written with all explanations and definitions added, so that it can be used as a graduate level textbook. What this book .is about Data processing. In many real-life situations, we are interested in the value of a physical quantity y that is diflicult (or even impossible) to measure directly. For example, it is impossible to directly measure the amount of oil in an oil field or a distance to a star. Since we cannot measure such quantities directly, we measure them indirectly, by measuring some other quantities Xi and using the known relation between y and Xi'S to reconstruct y. The algorithm that transforms the results Xi of measuring Xi into an estimate fj for y is called data processing.

Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications

Author : Olga Kosheleva
Publisher : Springer Nature
ISBN 13 : 3030310418
Total Pages : 638 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications by : Olga Kosheleva

Download or read book Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications written by Olga Kosheleva and published by Springer Nature. This book was released on 2020-02-28 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.

Coping with Complexity: Model Reduction and Data Analysis

Author : Alexander N. Gorban
Publisher : Springer Science & Business Media
ISBN 13 : 3642149413
Total Pages : 356 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Coping with Complexity: Model Reduction and Data Analysis by : Alexander N. Gorban

Download or read book Coping with Complexity: Model Reduction and Data Analysis written by Alexander N. Gorban and published by Springer Science & Business Media. This book was released on 2010-10-21 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and Data Analysis", Ambleside, UK, August 31 – September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.

Computing Statistics under Interval and Fuzzy Uncertainty

Author : Hung T. Nguyen
Publisher : Springer Science & Business Media
ISBN 13 : 3642249043
Total Pages : 412 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computing Statistics under Interval and Fuzzy Uncertainty by : Hung T. Nguyen

Download or read book Computing Statistics under Interval and Fuzzy Uncertainty written by Hung T. Nguyen and published by Springer Science & Business Media. This book was released on 2011-11-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.

Applied and Computational Matrix Analysis

Author : Natália Bebiano
Publisher : Springer
ISBN 13 : 331949984X
Total Pages : 346 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Applied and Computational Matrix Analysis by : Natália Bebiano

Download or read book Applied and Computational Matrix Analysis written by Natália Bebiano and published by Springer. This book was released on 2017-03-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas. With a particular focus on matrix and operator theory, statistical models and computation, the International Conference on Matrix Analysis and its Applications 2015, held in Coimbra, Portugal, was the sixth in a series of conferences. Applied and Computational Matrix Analysis will appeal to graduate students and researchers in theoretical and applied mathematics, physics and engineering who are seeking an overview of recent problems and methods in matrix analysis.

Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery

Author : Wang, Hsiao-Fan
Publisher : IGI Global
ISBN 13 : 159904983X
Total Pages : 366 pages
Book Rating : 4.5/5 (99 download)

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Book Synopsis Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery by : Wang, Hsiao-Fan

Download or read book Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery written by Wang, Hsiao-Fan and published by IGI Global. This book was released on 2008-07-31 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pattern Recognition has a long history of applications to data analysis in business, military and social economic activities. While the aim of pattern recognition is to discover the pattern of a data set, the size of the data set is closely related to the methodology one adopts for analysis. Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery tackles those data sets and covers a variety of issues in relation to intelligent data analysis so that patterns from frequent or rare events in spatial or temporal spaces can be revealed. This book brings together current research, results, problems, and applications from both theoretical and practical approaches.

Interval / Probabilistic Uncertainty and Non-classical Logics

Author : Van-Nam Huynh
Publisher : Springer Science & Business Media
ISBN 13 : 3540776648
Total Pages : 381 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Interval / Probabilistic Uncertainty and Non-classical Logics by : Van-Nam Huynh

Download or read book Interval / Probabilistic Uncertainty and Non-classical Logics written by Van-Nam Huynh and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the first International Workshop on Interval/Probabilistic Uncertainty and Non Classical Logics, Ishikawa, Japan, March 25-28, 2008. The workshop brought together researchers working on interval and probabilistic uncertainty and on non-classical logics. It is hoped this workshop will lead to a boost in the much-needed collaboration between the uncertainty analysis and non-classical logic communities, and thus, to better processing of uncertainty.

Algebraic Approach to Data Processing

Author : Julio C. Urenda
Publisher : Springer Nature
ISBN 13 : 3031167805
Total Pages : 246 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Algebraic Approach to Data Processing by : Julio C. Urenda

Download or read book Algebraic Approach to Data Processing written by Julio C. Urenda and published by Springer Nature. This book was released on 2022-10-15 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores a new general approach to selecting—and designing—data processing techniques. Symmetry and invariance ideas behind this algebraic approach have been successful in physics, where many new theories are formulated in symmetry terms. The book explains this approach and expands it to new application areas ranging from engineering, medicine, education to social sciences. In many cases, this approach leads to optimal techniques and optimal solutions. That the same data processing techniques help us better analyze wooden structures, lung dysfunctions, and deep learning algorithms is a good indication that these techniques can be used in many other applications as well. The book is recommended to researchers and practitioners who need to select a data processing technique—or who want to design a new technique when the existing techniques do not work. It is also recommended to students who want to learn the state-of-the-art data processing.

Knowledge Processing with Interval and Soft Computing

Author : Chenyi Hu
Publisher : Springer Science & Business Media
ISBN 13 : 1848003269
Total Pages : 241 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Knowledge Processing with Interval and Soft Computing by : Chenyi Hu

Download or read book Knowledge Processing with Interval and Soft Computing written by Chenyi Hu and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interval computing combined with fuzzy logic has become an emerging tool in studying artificial intelligence and knowledge processing (AIKP) applications since it models uncertainties frequently raised in the field. This book provides introductions for both interval and fuzzy computing in a very accessible style. Application algorithms covered in this book include quantitative and qualitative data mining with interval valued datasets, decision making systems with interval valued parameters, interval valued Nash games and interval weighted graphs. Successful applications in studying finance and economics, etc are also included. This book can serve as a handbook or a text for readers interested in applying interval and soft computing for AIKP.

From Intervals to –?

Author : Vladik Kreinovich
Publisher : Springer Nature
ISBN 13 : 3031205693
Total Pages : 125 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis From Intervals to –? by : Vladik Kreinovich

Download or read book From Intervals to –? written by Vladik Kreinovich and published by Springer Nature. This book was released on 2022-11-28 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about methodological aspects of uncertainty propagation in data processing. Uncertainty propagation is an important problem: while computer algorithms efficiently process data related to many aspects of their lives, most of these algorithms implicitly assume that the numbers they process are exact. In reality, these numbers come from measurements, and measurements are never 100% exact. Because of this, it makes no sense to translate 61 kg into pounds and get the result—as computers do—with 13 digit accuracy. In many cases—e.g., in celestial mechanics—the state of a system can be described by a few numbers: the values of the corresponding physical quantities. In such cases, for each of these quantities, we know (at least) the upper bound on the measurement error. This bound is either provided by the manufacturer of the measuring instrument—or is estimated by the user who calibrates this instrument. However, in many other cases, the description of the system is more complex than a few numbers: we need a function to describe a physical field (e.g., electromagnetic field); we need a vector in Hilbert space to describe a quantum state; we need a pseudo-Riemannian space to describe the physical space-time, etc. To describe and process uncertainty in all such cases, this book proposes a general methodology—a methodology that includes intervals as a particular case. The book is recommended to students and researchers interested in challenging aspects of uncertainty analysis and to practitioners who need to handle uncertainty in such unusual situations.

IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties

Author : Alexander K. Belyaev
Publisher : Springer Science & Business Media
ISBN 13 : 9400702892
Total Pages : 471 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties by : Alexander K. Belyaev

Download or read book IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties written by Alexander K. Belyaev and published by Springer Science & Business Media. This book was released on 2010-12-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium was aimed at the theoretical and numerical problems involved in modelling the dynamic response of structures which have uncertain properties due to variability in the manufacturing and assembly process, with automotive and aerospace structures forming prime examples. It is well known that the difficulty in predicting the response statistics of such structures is immense, due to the complexity of the structure, the large number of variables which might be uncertain, and the inevitable lack of data regarding the statistical distribution of these variables. The Symposium participants presented the latest thinking in this very active research area, and novel techniques were presented covering the full frequency spectrum of low, mid, and high frequency vibration problems. It was demonstrated that for high frequency vibrations the response statistics can saturate and become independent of the detailed distribution of the uncertain system parameters. A number of presentations exploited this physical behaviour by using and extending methods originally developed in both phenomenological thermodynamics and in the fields of quantum mechanics and random matrix theory. For low frequency vibrations a number of presentations focussed on parametric uncertainty modelling (for example, probabilistic models, interval analysis, and fuzzy descriptions) and on methods of propagating this uncertainty through a large dynamic model in an effi cient way. At mid frequencies the problem is mixed, and various hybrid schemes were proposed. It is clear that a comprehensive solution to the problem of predicting the vibration response of uncertain structures across the whole frequency range requires expertise across a wide range of areas (including probabilistic and non-probabilistic methods, interval and info-gap analysis, statistical energy analysis, statistical thermodynamics, random wave approaches, and large scale computations) and this IUTAM symposium presented a unique opportunity to bring together outstanding international experts in these fields.

Artificial Intelligence in Control and Decision-making Systems

Author : Yuriy P. Kondratenko
Publisher : Springer Nature
ISBN 13 : 3031257596
Total Pages : 394 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Artificial Intelligence in Control and Decision-making Systems by : Yuriy P. Kondratenko

Download or read book Artificial Intelligence in Control and Decision-making Systems written by Yuriy P. Kondratenko and published by Springer Nature. This book was released on 2023-04-17 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an authoritative collection of contributions reporting on computational intelligence, fuzzy systems as well as artificial intelligence techniques for modeling, optimization, control and decision-making together with applications and case studies in engineering, management and economic sciences. Dedicated to the Academician of the Polish Academy of Sciences, Professor Janusz Kacprzyk in recognition of his pioneering work, the book reports on theories, methods and new challenges in artificial intelligence, thus offering not only a timely reference guide but also a source of new ideas and inspirations for graduate students and researchers alike. The book consists of the 18 chapters, presented by distinguished and experienced authors from 16 different countries (Australia, Brazil, Canada, Chile, Germany, Hungary, Israel, Italy, China, R.N.Macedonia, Saudi Arabia, Spain, Turkey, United States, Ukraine, and Vietnam). All chapters are grouped into three parts: Computational Intelligence and Fuzzy Systems, Artificial Intelligence Techniques in Modelling and Optimization, and Computational Intelligence in Control and Decision Support Processes. The book reflects recent developments and new directions in artificial intelligence, including computation method of the interval hull to solutions of interval and fuzzy interval linear systems, fuzzy-Petri-networks in supervisory control of Markov processes in robotic systems, fuzzy approaches for linguistic data summaries, first-approximation analysis for choosing fuzzy or neural systems and type-1 or type-2 fuzzy sets, matrix resolving functions in game dynamic problems, evolving stacking neuro-fuzzy probabilistic networks and their combined learning in online pattern recognition tasks, structural optimization of fuzzy control and decision-making systems, neural and granular fuzzy adaptive modeling, state and action abstraction for search and reinforcement learning algorithms. Among the most successful and perspective implementations in practical areas of human activity are tentative algorithms for neurological disorders, human-centric question-answering system, OWA operators in pensions, evaluation of the perception of public safety through fuzzy and multi-criteria approach, a multicriteria hierarchical approach to investment location choice, intelligent traffic signal control and generative adversarial networks in cybersecurity.

Advanced Mathematical And Computational Tools In Metrology And Testing Xii

Author : Franco Pavese
Publisher : World Scientific
ISBN 13 : 9811242399
Total Pages : 546 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Advanced Mathematical And Computational Tools In Metrology And Testing Xii by : Franco Pavese

Download or read book Advanced Mathematical And Computational Tools In Metrology And Testing Xii written by Franco Pavese and published by World Scientific. This book was released on 2022-01-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation Technical Committee 21, Mathematical Tools for Measurements and is the twelfth in the series. The papers cover topics in numerical analysis and computational tools, statistical inference, regression, calibration and metrological traceability, computer science and data provenance, and describe applications in a wide range of application domains. This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. It will also be of interest to scientists and engineers concerned with the reliability, trustworthiness and reproducibility of data and data analytics in data-driven systems in engineering, environmental and life sciences.

Introduction to Interval Analysis

Author : Ramon E. Moore
Publisher : SIAM
ISBN 13 : 089871771X
Total Pages : 223 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to Interval Analysis by : Ramon E. Moore

Download or read book Introduction to Interval Analysis written by Ramon E. Moore and published by SIAM. This book was released on 2009-01-01 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: An update on the author's previous books, this introduction to interval analysis provides an introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.

Advances in Soft Computing

Author : Ildar Batyrshin
Publisher : Springer
ISBN 13 : 364225330X
Total Pages : 556 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Advances in Soft Computing by : Ildar Batyrshin

Download or read book Advances in Soft Computing written by Ildar Batyrshin and published by Springer. This book was released on 2011-11-22 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNAI 7094 and 7095 constitutes the refereed proceedings of the 10th Mexican International Conference on Artificial Intelligence, MICAI 2011, held in Puebla, Mexico, in November/December 2011. The 96 revised papers presented were carefully selected from XXX submissions. The second volume contains 46 papers focusing on soft computing. The papers are organized in the following topical sections: fuzzy logic, uncertainty and probabilistic reasoning; evolutionary algorithms and other naturally-inspired algorithms; data mining; neural networks and hybrid intelligent systems; and computer vision and image processing.

Computational Science and High Performance Computing III

Author : Egon Krause
Publisher : Springer Science & Business Media
ISBN 13 : 3540690107
Total Pages : 258 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Computational Science and High Performance Computing III by : Egon Krause

Download or read book Computational Science and High Performance Computing III written by Egon Krause and published by Springer Science & Business Media. This book was released on 2008-10-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 18 contributions to the Third Russian-German Advanced Research Workshop on Computational Science and High Performance Computing presented in July 2007 at Novosibirsk, Russia. The workshop was organized jointly by the High Performance Computing Center Stuttgart (HLRS) and the Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences (ICT SB RAS) The contributions range from computer science, mathematics and high performance computing to applications in mechanical and aerospace engineering. They show a wealth of theoretical work and simulation experience with a potential of bringing together theoretical mathematical modelling and usage of high performance computing systems presenting the state of the art of computational technologies.

Computational Intelligence in Information Assurance and Security

Author : Ajith Abraham
Publisher : Springer Science & Business Media
ISBN 13 : 3540710779
Total Pages : 269 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Intelligence in Information Assurance and Security by : Ajith Abraham

Download or read book Computational Intelligence in Information Assurance and Security written by Ajith Abraham and published by Springer Science & Business Media. This book was released on 2007-05-02 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides the academic and industrial community with a medium for presenting original research and applications related to information assurance and security using computational intelligence techniques. It details current research on information assurance and security regarding both the theoretical and methodological aspects, as well as various applications in solving real world problems using computational intelligence.