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Author : Thomas Kühn
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (46 download)
Download or read book Eigenvalues of integral operators with smooth positive definite kernels written by Thomas Kühn and published by . This book was released on 1986 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : thomas Kuehn
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (258 download)
Download or read book Eigenvalues of Integral Operators with Smooth Positive Definite Kernels written by thomas Kuehn and published by . This book was released on 1986 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Kühn
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (46 download)
Download or read book Eigenvalues of integral operators generated by positive definite Hölder continuous kernels on metric compacta written by Thomas Kühn and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : thomas Kuehn
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (258 download)
Download or read book Eigenvalues of Integral Operators Generated by Positive Definite Hoelder Continuous Kernels on Metric Compacta written by thomas Kuehn and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. Kühn
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (897 download)
Download or read book Eigenvalues of Integral Operators Generated by Positive Definite Hölder Continuous Kernels on Metric Compacta written by T. Kühn and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregory E. Fasshauer
Publisher : Springer
ISBN 13 : 3319064045
Total Pages : 397 pages
Book Rating : 4.3/5 (19 download)
Download or read book Approximation Theory XIV: San Antonio 2013 written by Gregory E. Fasshauer and published by Springer. This book was released on 2014-06-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas. The conference was the fourteenth in a series of meetings in Approximation Theory held at various locations in the United States. The included invited and contributed papers cover diverse areas of approximation theory with a special emphasis on the most current and active areas such as compressed sensing, isogeometric analysis, anisotropic spaces, radial basis functions and splines. Classical and abstract approximation is also included. The book will be of interest to mathematicians, engineers\ and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis and related application areas.
Author : Heinrich G. W. Begehr
Publisher : World Scientific
ISBN 13 : 9812835628
Total Pages : 1497 pages
Book Rating : 4.8/5 (128 download)
Download or read book More Progresses in Analysis written by Heinrich G. W. Begehr and published by World Scientific. This book was released on 2009 with total page 1497 pages. Available in PDF, EPUB and Kindle. Book excerpt: International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O Besov, V Burenkov and R P Gilbert on the occasion of their anniversaries.
Author :
Publisher : World Scientific
ISBN 13 : 9812835636
Total Pages : 1497 pages
Book Rating : 4.8/5 (128 download)
Download or read book More Progresses in Analysis written by and published by World Scientific. This book was released on 2009-05-12 with total page 1497 pages. Available in PDF, EPUB and Kindle. Book excerpt: International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O. Besov, V. Burenkov and R.P. Gilbert on the occasion of their anniversaries.
Author : Gregory E Fasshauer
Publisher : World Scientific Publishing Company
ISBN 13 : 9814630152
Total Pages : 537 pages
Book Rating : 4.8/5 (146 download)
Download or read book Kernel-based Approximation Methods Using Matlab written by Gregory E Fasshauer and published by World Scientific Publishing Company. This book was released on 2015-07-30 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in various settings. The authors explore the historical context of this fascinating topic and explain recent advances as strategies to address long-standing problems. Examples are drawn from fields as diverse as function approximation, spatial statistics, boundary value problems, machine learning, surrogate modeling and finance. Researchers from those and other fields can recreate the results within using the documented MATLAB code, also available through the online library. This combination of a strong theoretical foundation and accessible experimentation empowers readers to use positive definite kernels on their own problems of interest.
Author : R. A. Todor
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (255 download)
Download or read book Robust Eigenvalue Computation for Integral Operators with Smooth Kernel written by R. A. Todor and published by . This book was released on 2004 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinrich G W Begehr
Publisher : World Scientific
ISBN 13 : 9814469688
Total Pages : 1497 pages
Book Rating : 4.8/5 (144 download)
Download or read book More Progresses In Analysis - Proceedings Of The 5th International Isaac Congress written by Heinrich G W Begehr and published by World Scientific. This book was released on 2009-05-12 with total page 1497 pages. Available in PDF, EPUB and Kindle. Book excerpt: International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors.The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O Besov, V Burenkov and R P Gilbert on the occasion of their anniversaries.
Author : Martin D. Buhmann
Publisher : Birkhäuser
ISBN 13 : 3034876009
Total Pages : 286 pages
Book Rating : 4.0/5 (348 download)
Download or read book Advanced Problems in Constructive Approximation written by Martin D. Buhmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current form of modern approximation theory is shaped by many new de velopments which are the subject of this series of conferences. The International Meetings on Approximation Theory attempt to keep track in particular of fun damental advances in the theory of function approximation, for example by (or thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others. This includes both approxima tion order and error estimates, as well as constructions of function systems for approximation of functions on Euclidean spaces and spheres. It is a piece of very good fortune that at all of the IDoMAT meetings, col leagues and friends from all over Europe, and indeed some count ries outside Europe and as far away as China, New Zealand, South Africa and U.S.A. came and dis cussed mathematics at IDoMAT conference facility in Witten-Bommerholz. The conference was, as always, held in a friendly and congenial atmosphere. After each meeting, the delegat es were invited to contribute to the proceed ing's volume, the previous one being published in the same Birkhäuser series as this one. The editors were pleased about the quality of the contributions which could be solicited for the book. They are refereed and we should mention our gratitude to the referees and their work.
Author : Luis Tenorio
Publisher : SIAM
ISBN 13 : 1611974917
Total Pages : 275 pages
Book Rating : 4.6/5 (119 download)
Download or read book An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems written by Luis Tenorio and published by SIAM. This book was released on 2017-07-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are found in many applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an inverse problem is to recover an object from noisy, usually indirect observations. Solutions to inverse problems are subject to many potential sources of error introduced by approximate mathematical models, regularization methods, numerical approximations for efficient computations, noisy data, and limitations in the number of observations; thus it is important to include an assessment of the uncertainties as part of the solution. Such assessment is interdisciplinary by nature, as it requires, in addition to knowledge of the particular application, methods from applied mathematics, probability, and statistics. This book bridges applied mathematics and statistics by providing a basic introduction to probability and statistics for uncertainty quantification in the context of inverse problems, as well as an introduction to statistical regularization of inverse problems. The author covers basic statistical inference, introduces the framework of ill-posed inverse problems, and explains statistical questions that arise in their applications. An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems?includes many examples that explain techniques which are useful to address general problems arising in uncertainty quantification, Bayesian and non-Bayesian statistical methods and discussions of their complementary roles, and analysis of a real data set to illustrate the methodology covered throughout the book.
Author : Arnold Neumaier
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667363
Total Pages : 323 pages
Book Rating : 4.1/5 (16 download)
Download or read book Coherent Quantum Physics written by Arnold Neumaier and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-21 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.
Author : Antonio F. Gualtierotti
Publisher : Springer
ISBN 13 : 3319223151
Total Pages : 1198 pages
Book Rating : 4.3/5 (192 download)
Download or read book Detection of Random Signals in Dependent Gaussian Noise written by Antonio F. Gualtierotti and published by Springer. This book was released on 2015-12-15 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the necessary mathematical basis to obtain and rigorously use likelihoods for detection problems with Gaussian noise. To facilitate comprehension the text is divided into three broad areas – reproducing kernel Hilbert spaces, Cramér-Hida representations and stochastic calculus – for which a somewhat different approach was used than in their usual stand-alone context. One main applicable result of the book involves arriving at a general solution to the canonical detection problem for active sonar in a reverberation-limited environment. Nonetheless, the general problems dealt with in the text also provide a useful framework for discussing other current research areas, such as wavelet decompositions, neural networks, and higher order spectral analysis. The structure of the book, with the exposition presenting as many details as necessary, was chosen to serve both those readers who are chiefly interested in the results and those who want to learn the material from scratch. Hence, the text will be useful for graduate students and researchers alike in the fields of engineering, mathematics and statistics.
Author : Parvaneh Joharinad
Publisher : Springer Nature
ISBN 13 : 303133440X
Total Pages : 287 pages
Book Rating : 4.0/5 (313 download)
Download or read book Mathematical Principles of Topological and Geometric Data Analysis written by Parvaneh Joharinad and published by Springer Nature. This book was released on 2023-07-29 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical prerequisites, covering topics ranging from category theory to algebraic topology, Riemannian geometry, operator theory and network analysis, it goes on to describe and analyze some of the most important machine learning techniques for dimension reduction, including the different types of manifold learning and kernel methods. It also develops a new notion of curvature of generalized metric spaces, based on the notion of hyperconvexity, which can be used for the topological representation of geometric information. In recent years there has been a fascinating development: concepts and methods originally created in the context of research in pure mathematics, and in particular in geometry, have become powerful tools in machine learning for the analysis of data. The underlying reason for this is that data are typically equipped with some kind of notion of distance, quantifying the differences between data points. Of course, to be successfully applied, the geometric tools usually need to be redefined, generalized, or extended appropriately. Primarily aimed at mathematicians seeking an overview of the geometric concepts and methods that are useful for data analysis, the book will also be of interest to researchers in machine learning and data analysis who want to see a systematic mathematical foundation of the methods that they use.
Author : J. T. Stadter
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)
Download or read book Bounds for Eigenvalues of an Integral Operator written by J. T. Stadter and published by . This book was released on 1968 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report illustrates the application of the method of intermediate problems for estimating the eigenvalues of integral operators. The method yields upper bounds to the positive eigenvalues of integral operators; lower bounds are obtained using the Rayleigh-Ritz procedure. Close bounds are given for eigenvalues of the operator with symmetric kernel K(x, y) = summation from i, j = 1 to i, j = infinity, of the quantity (sin ix sin jy/(i to the 4th power + j to the 4th power)). (Author).
