An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces / / by Sergei Pereverzyev

• Autore: Pereverzev Sergei V.
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022
• Edizione: 1st ed. 2022.
• Descrizione fisica: 1 online resource (160 pages)
• Disciplina: 515.733
• Soggetto topico: Functional analysis; Operator theory; Machine learning; Artificial intelligence; Functional Analysis; Operator Theory; Machine Learning; Artificial Intelligence
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction -- Learning in Reproducing Kernel Hilbert Spaces and related integral operators -- Selected topics of the regularization theory -- Regularized learning in RKHS -- Examples of Applications.
• Sommario/riassunto: This textbook provides an in-depth exploration of statistical learning with reproducing kernels, an active area of research that can shed light on trends associated with deep neural networks. The author demonstrates how the concept of reproducing kernel Hilbert Spaces (RKHS), accompanied with tools from regularization theory, can be effectively used in the design and justification of kernel learning algorithms, which can address problems in several areas of artificial intelligence. Also provided is a detailed description of two biomedical applications of the considered algorithms, demonstrating how close the theory is to being practically implemented. Among the book’s several unique features is its analysis of a large class of algorithms of the Learning Theory that essentially comprise every linear regularization scheme, including Tikhonov regularization as a specific case. It also provides a methodology for analyzing not only different supervised learningproblems, such as regression or ranking, but also different learning scenarios, such as unsupervised domain adaptation or reinforcement learning. By analyzing these topics using the same theoretical framework, rather than approaching them separately, their presentation is streamlined and made more approachable. An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces is an ideal resource for graduate and postgraduate courses in computational mathematics and data science.
• Titolo autorizzato: An introduction to artificial intelligence based on reproducing kernel hilbert spaces
• ISBN: 9783030983161; 9783030983154
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910574045003321
• Lo trovi qui: Univ. Federico II
• Serie: Compact Textbooks in Mathematics, . 2296-455X