hilbertian kernels and spline functions studies in computational mathematics

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Hilbertian Kernels And Spline Functions

Author : M. Atteia
ISBN : 9781483295190
Genre : Mathematics
File Size : 35. 37 MB
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In this monograph, which is an extensive study of Hilbertian approximation, the emphasis is placed on spline functions theory. The origin of the book was an effort to show that spline theory parallels Hilbertian Kernel theory, not only for splines derived from minimization of a quadratic functional but more generally for splines considered as piecewise functions type. Being as far as possible self-contained, the book may be used as a reference, with information about developments in linear approximation, convex optimization, mechanics and partial differential equations.

Reproducing Kernel Hilbert Spaces In Probability And Statistics

Author : Alain Berlinet
ISBN : 9781441990969
Genre : Business & Economics
File Size : 65. 53 MB
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The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.

Reproducing Kernel Spaces And Applications

Author : Daniel Alpay
ISBN : 9783034880770
Genre : Mathematics
File Size : 38. 82 MB
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The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes, linear systems theory, operator theory, and the theory of analytic functions. Also they are relevant for many applications, for example to statistical learning theory and pattern recognition. The present volume contains a selection of papers which deal with different aspects of reproducing kernel Hilbert spaces. Topics considered include one complex variable theory, differential operators, the theory of self-similar systems, several complex variables, and the non-commutative case. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Multidimensional Minimizing Splines

Author : R. Arcangéli
ISBN : 9781402077876
Genre : Mathematics
File Size : 42. 62 MB
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This book is of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods. From reviews: The book is well organized, and the English is very good. I recommend the book to researchers in approximation theory, and to anyone interested in bivariate data fitting." (L.L. Schumaker, Mathematical Reviews, 2005).

Third International Conference On Approximation And Optimization In The Caribbean

Author : Bernd Bank
ISBN : 9683670741
Genre : Approximation theory
File Size : 58. 85 MB
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Journal Of Machine Learning Research

Author :
ISBN : UCSD:31822035707991
Genre : Machine learning
File Size : 51. 61 MB
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Mathematical Reviews

Author :
ISBN : UOM:39015062317212
Genre : Mathematics
File Size : 73. 34 MB
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The Cumulative Book Index

Author :
ISBN : UOM:39015058373971
Genre : American literature
File Size : 28. 37 MB
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Advances In Learning Theory

Author : Johan A. K Suykens
ISBN : UCSD:31822033542614
Genre : Computational learning theory
File Size : 37. 12 MB
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Cms Technical Summary Report

Author : University of Wisconsin--Madison. Center for the Mathematical Sciences
ISBN : WISC:89079836979
Genre : Mathematics
File Size : 43. 74 MB
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