Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks

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Publisher : World Scientific
ISBN 13 : 9814525677
Total Pages : 236 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks by : Ayache Antoine

Download or read book Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks written by Ayache Antoine and published by World Scientific. This book was released on 2018-09-24 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the denomination FBM is due to a very famous article by Mandelbrot and Van Ness, published in 1968. Not only in it, but also in several of his following works, Mandelbrot emphasized the importance of FBM as a model in several applied areas, and thus he made it to be known by a wide community. Therefore, FBM has been studied by many authors, and used in a lot of applications.In spite of the fact that FBM is a very useful model, it does not always fit to real data. This is the reason why, for at least two decades, there has been an increasing interest in the construction of new classes of random models extending it, which offer more flexibility. A paradigmatic example of them is the class of Multifractional Fields. Multifractional means that fractal properties of models, typically, roughness of paths and self-similarity of probability distributions, are locally allowed to change from place to place.In order to sharply determine path behavior of Multifractional Fields, a wavelet strategy, which can be considered to be new in the probabilistic framework, has been developed since the end of the 90's. It is somehow inspired by some rather non-standard methods, related to the fine study of Brownian Motion roughness, through its representation in the Faber-Schauder system. The main goal of the book is to present the motivations behind this wavelet strategy, and to explain how it can be applied to some classical examples of Multifractional Fields. The book also discusses some topics concerning them which are not directly related to the wavelet strategy.

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems

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Publisher : Academic Press
ISBN 13 : 0323886167
Total Pages : 352 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems by : Yeliz Karaca

Download or read book Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems written by Yeliz Karaca and published by Academic Press. This book was released on 2022-06-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of different complex systems and many-body systems. Provides readers with a bridge between application of advanced computational mathematical methods and AI based on comprehensive analyses and broad theories.

Revista Matemática Iberoamericana

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Publisher :
ISBN 13 :
Total Pages : 782 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Revista Matemática Iberoamericana by :

Download or read book Revista Matemática Iberoamericana written by and published by . This book was released on 2014 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Wavelet Tour of Signal Processing

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Publisher : Elsevier
ISBN 13 : 9780080520834
Total Pages : 620 pages
Book Rating : 4.5/5 (28 download)

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Book Synopsis A Wavelet Tour of Signal Processing by : Stephane Mallat

Download or read book A Wavelet Tour of Signal Processing written by Stephane Mallat and published by Elsevier. This book was released on 1999-09-14 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and École Polytechnique in Paris. Provides a broad perspective on the principles and applications of transient signal processing with wavelets Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition Optical flow calculation and video compression algorithms Image models with bounded variation functions Bayes and Minimax theories for signal estimation 200 pages rewritten and most illustrations redrawn More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Wavelets in Neuroscience

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Publisher : Springer
ISBN 13 : 366243850X
Total Pages : 318 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Wavelets in Neuroscience by : Alexander E. Hramov

Download or read book Wavelets in Neuroscience written by Alexander E. Hramov and published by Springer. This book was released on 2014-08-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines theoretical and applied aspects of wavelet analysis in neurophysics, describing in detail different practical applications of the wavelet theory in the areas of neurodynamics and neurophysiology and providing a review of fundamental work that has been carried out in these fields over the last decade. Chapters 1 and 2 introduce and review the relevant foundations of neurophysics and wavelet theory, respectively, pointing on one hand to the various current challenges in neuroscience and introducing on the other the mathematical techniques of the wavelet transform in its two variants (discrete and continuous) as a powerful and versatile tool for investigating the relevant neuronal dynamics. Chapter 3 then analyzes results from examining individual neuron dynamics and intracellular processes. The principles for recognizing neuronal spikes from extracellular recordings and the advantages of using wavelets to address these issues are described and combined with approaches based on wavelet neural networks (chapter 4). The features of time-frequency organization of EEG signals are then extensively discussed, from theory to practical applications (chapters 5 and 6). Lastly, the technical details of automatic diagnostics and processing of EEG signals using wavelets are examined (chapter 7). The book will be a useful resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduat e students specializing in the corresponding areas.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 734 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2002 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spring Meeting

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Publisher :
ISBN 13 :
Total Pages : 1148 pages
Book Rating : 4.4/5 (145 download)

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Book Synopsis Spring Meeting by : American Geophysical Union. Meeting

Download or read book Spring Meeting written by American Geophysical Union. Meeting and published by . This book was released on 1993 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Minicourse on Stochastic Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540859934
Total Pages : 230 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis A Minicourse on Stochastic Partial Differential Equations by : Robert C. Dalang

Download or read book A Minicourse on Stochastic Partial Differential Equations written by Robert C. Dalang and published by Springer Science & Business Media. This book was released on 2009 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains lectures that offer an introduction to modern topics in stochastic partial differential equations and bring together experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic PDEs.

Statistical Parametric Mapping: The Analysis of Functional Brain Images

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Publisher : Elsevier
ISBN 13 : 0080466508
Total Pages : 656 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Statistical Parametric Mapping: The Analysis of Functional Brain Images by : William D. Penny

Download or read book Statistical Parametric Mapping: The Analysis of Functional Brain Images written by William D. Penny and published by Elsevier. This book was released on 2011-04-28 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an age where the amount of data collected from brain imaging is increasing constantly, it is of critical importance to analyse those data within an accepted framework to ensure proper integration and comparison of the information collected. This book describes the ideas and procedures that underlie the analysis of signals produced by the brain. The aim is to understand how the brain works, in terms of its functional architecture and dynamics. This book provides the background and methodology for the analysis of all types of brain imaging data, from functional magnetic resonance imaging to magnetoencephalography. Critically, Statistical Parametric Mapping provides a widely accepted conceptual framework which allows treatment of all these different modalities. This rests on an understanding of the brain's functional anatomy and the way that measured signals are caused experimentally. The book takes the reader from the basic concepts underlying the analysis of neuroimaging data to cutting edge approaches that would be difficult to find in any other source. Critically, the material is presented in an incremental way so that the reader can understand the precedents for each new development. This book will be particularly useful to neuroscientists engaged in any form of brain mapping; who have to contend with the real-world problems of data analysis and understanding the techniques they are using. It is primarily a scientific treatment and a didactic introduction to the analysis of brain imaging data. It can be used as both a textbook for students and scientists starting to use the techniques, as well as a reference for practicing neuroscientists. The book also serves as a companion to the software packages that have been developed for brain imaging data analysis. An essential reference and companion for users of the SPM software Provides a complete description of the concepts and procedures entailed by the analysis of brain images Offers full didactic treatment of the basic mathematics behind the analysis of brain imaging data Stands as a compendium of all the advances in neuroimaging data analysis over the past decade Adopts an easy to understand and incremental approach that takes the reader from basic statistics to state of the art approaches such as Variational Bayes Structured treatment of data analysis issues that links different modalities and models Includes a series of appendices and tutorial-style chapters that makes even the most sophisticated approaches accessible

Wavelets and Filter Banks

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Publisher : SIAM
ISBN 13 : 9780961408879
Total Pages : 556 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis Wavelets and Filter Banks by : Gilbert Strang

Download or read book Wavelets and Filter Banks written by Gilbert Strang and published by SIAM. This book was released on 1996-10-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of wavelets for both engineers and mathematicians.

Index to IEEE Publications

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Publisher :
ISBN 13 :
Total Pages : 1404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Index to IEEE Publications by : Institute of Electrical and Electronics Engineers

Download or read book Index to IEEE Publications written by Institute of Electrical and Electronics Engineers and published by . This book was released on 1995 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for 1973- cover the entire IEEE technical literature.

Wavelets in Geophysics

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Publisher : Elsevier
ISBN 13 : 0080520871
Total Pages : 373 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Wavelets in Geophysics by : Efi Foufoula-Georgiou

Download or read book Wavelets in Geophysics written by Efi Foufoula-Georgiou and published by Elsevier. This book was released on 2014-06-28 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Includes twelve original papers written by experts in the geophysical sciences Provides a self-contained overview of the nature, power, and scope of wavelet transforms Presents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals

The Oxford Handbook of Computational Economics and Finance

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Publisher : Oxford University Press
ISBN 13 : 0190877502
Total Pages : 784 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis The Oxford Handbook of Computational Economics and Finance by : Shu-Heng Chen

Download or read book The Oxford Handbook of Computational Economics and Finance written by Shu-Heng Chen and published by Oxford University Press. This book was released on 2018-01-12 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.

The Statistical Theory of Non-Equilibrium Processes in a Plasma

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Publisher : Elsevier
ISBN 13 : 1483214621
Total Pages : 300 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Statistical Theory of Non-Equilibrium Processes in a Plasma by : Yu L Klimontovich

Download or read book The Statistical Theory of Non-Equilibrium Processes in a Plasma written by Yu L Klimontovich and published by Elsevier. This book was released on 2013-09-17 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Statistical Theory of Non-equilibrium Processes in a Plasma covers the modern statistical theory of non-equilibrium processes in a plasma by a unified method, proceeding from the microscopic equations. The book discusses Maxwell equations for slow and fast processes; magnetohydrodynamic equations; microscopic equations for a plasma; and equations with a self-consistent field (Vlasov equations). The text then describes correlation and spectral function; kinetic equations for a plasma; and Landau equations. It also examines the kinetic equations and expressions for spectral functions when the radiation by plasma waves is taken into account; and the hydrodynamic description of processes in a plasma. Physicists and students taking courses in mechanics and mathematics will find the book invaluable.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1060 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gaussian Hilbert Spaces

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Publisher : Cambridge University Press
ISBN 13 : 0521561280
Total Pages : 358 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Gaussian Hilbert Spaces by : Svante Janson

Download or read book Gaussian Hilbert Spaces written by Svante Janson and published by Cambridge University Press. This book was released on 1997-06-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables.

Multiparameter Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 0387216316
Total Pages : 590 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Multiparameter Processes by : Davar Khoshnevisan

Download or read book Multiparameter Processes written by Davar Khoshnevisan and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained presentation: from elementary material to state-of-the-art research; Much of the theory in book-form for the first time; Connections are made between probability and other areas of mathematics, engineering and mathematical physics