The Innermost Kernel
Title | The Innermost Kernel PDF eBook |
Author | Suzanne Gieser |
Publisher | Springer Science & Business Media |
Total Pages | 424 |
Release | 2005-02-14 |
Genre | Philosophy |
ISBN | 9783540208563 |
The publication of W. Pauli's Scientific Correspondence by Springer-Verlag has motivated a vast research activity on Pauli's role in modern science. This excellent treatise sheds light on the ongoing dialogue between physics and psychology.
Kernel-based Approximation Methods using MATLAB
Title | Kernel-based Approximation Methods using MATLAB PDF eBook |
Author | Gregory Fasshauer |
Publisher | World Scientific Publishing Company |
Total Pages | 536 |
Release | 2015-07-30 |
Genre | Mathematics |
ISBN | 9814630152 |
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.
Kernel Methods for Pattern Analysis
Title | Kernel Methods for Pattern Analysis PDF eBook |
Author | John Shawe-Taylor |
Publisher | Cambridge University Press |
Total Pages | 520 |
Release | 2004-06-28 |
Genre | Computers |
ISBN | 1139451618 |
Kernel methods provide a powerful and unified framework for pattern discovery, motivating algorithms that can act on general types of data (e.g. strings, vectors or text) and look for general types of relations (e.g. rankings, classifications, regressions, clusters). The application areas range from neural networks and pattern recognition to machine learning and data mining. This book, developed from lectures and tutorials, fulfils two major roles: firstly it provides practitioners with a large toolkit of algorithms, kernels and solutions ready to use for standard pattern discovery problems in fields such as bioinformatics, text analysis, image analysis. Secondly it provides an easy introduction for students and researchers to the growing field of kernel-based pattern analysis, demonstrating with examples how to handcraft an algorithm or a kernel for a new specific application, and covering all the necessary conceptual and mathematical tools to do so.
Reproducing Kernel Hilbert Spaces in Probability and Statistics
Title | Reproducing Kernel Hilbert Spaces in Probability and Statistics PDF eBook |
Author | Alain Berlinet |
Publisher | Springer Science & Business Media |
Total Pages | 369 |
Release | 2011-06-28 |
Genre | Business & Economics |
ISBN | 1441990968 |
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.
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Title | Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces PDF eBook |
Author | Daniel Alpay |
Publisher | Birkhäuser |
Total Pages | 244 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034889089 |
Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproducing kernel Pontryagin spaces. This provides a modern system theory setting for the relationship between invariant subspaces and factorization, operator models, Krein-Langer factorizations, and other topics. The book is intended for students and researchers in mathematics and engineering. An introductory chapter supplies background material, including reproducing kernel Pontryagin spaces, complementary spaces in the sense of de Branges, and a key result on defining operators as closures of linear relations. The presentation is self-contained and streamlined so that the indefinite case is handled completely parallel to the definite case.
Monthly Weather Review
Title | Monthly Weather Review PDF eBook |
Author | |
Publisher | |
Total Pages | 880 |
Release | 1925 |
Genre | Meteorology |
ISBN |
Linux Kernel Development
Title | Linux Kernel Development PDF eBook |
Author | Robert Love |
Publisher | Pearson Education |
Total Pages | 471 |
Release | 2010 |
Genre | Computers |
ISBN | 0672329468 |
This practical guide helps programmers better understand the Linux kernel, and to write and develop kernel code. It provides in-depth coverage of all the major subsystems and features of the Linux 2.6 kernel.