Opis: An Introduction to the Theory of Reproducing Kernel Hilbert Spaces - Mrinal Raghupathi, Vern Paulsen

Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.Part I. General Theory: 1. Introduction; 2. Fundamental results; 3. Interpolation and approximation; 4. Cholesky and Schur; 5. Operations on kernels; 6. Vector-valued spaces; Part II. Applications and Examples: 7. Power series on balls and pull-backs; 8. Statistics and machine learning; 9. Negative definite functions; 10. Positive definite functions on groups; 11. Applications of RKHS to integral operators; 12. Stochastic processes.

Szczegóły: An Introduction to the Theory of Reproducing Kernel Hilbert Spaces - Mrinal Raghupathi, Vern Paulsen

Tytuł: An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
Autor: Mrinal Raghupathi, Vern Paulsen
Wydawnictwo: Cambridge University Press
ISBN: 9781107104099
Rok wydania: 2016
Ilość stron: 192
Oprawa: Twarda
Waga: 0.39 kg

Recenzje: An Introduction to the Theory of Reproducing Kernel Hilbert Spaces - Mrinal Raghupathi, Vern Paulsen