Ridge functions and applications in neural networks /

Gespeichert in:
Weitere Titel:
Introduction
Properties of linear combinations of ridge functions
The smoothness problem in ridge function representation
Approximation of multivariate functions by sums of univariate functions
Generalized ridge functions and linear superpositions
Applications to neural networks
1. Verfasser:
Ismailov, Vugar E.
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Providence, Rhode Island : American Mathematical Society, [2021]
Umfang:
1 online resource (pages cm.)
Mode of access : World Wide Web
Format Details:
Mode of access : World Wide Web
Bibliografie:
Includes bibliographical references and index.
Schriftenreihe:
Mathematical Surveys and Monographs,
Sekundärform:
Publikations­art: Electronic reproduction.
Verlag: Providence, Rhode Island :: American Mathematical Society.
Publikations­datum: 2021
ISBN:
9781470468002 (online)
ISSN:
2331-7159 ;
0076-5376
DOI:
10.1090/surv/263
Zugangseinschränkungen:
Access is restricted to licensed institutions
Schlagworte:
Function spaces.
Multivariate analysis.
Approximation theory.
Linear operators.
Numbers, Real.
Neural networks (Computer science)
Real functions [See also 54C30] > Functions of several variables > Representation and superposition of functions.
Approximations and expansions {For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approx
Difference and functional equations > Functional equations and inequalities [See also 30D05] > Equations for real functions [See also 26A51, 26B25].
Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} > Normed linear spaces and Banach spaces; Banach lattices {For function spaces, see 46Exx} > Spaces of oper
Operator theory > General theory of linear operators > General (adjoints, conjugates, products, inverses, domains, ranges, etc.).
Numerical analysis > Numerical approximation and computational geometry (primarily algorithms) {For theory, see 41-XX and 68Uxx} > Algorithms for functional approximation.
Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section > 04 in that area} > Artificial intelligence > Learning and adaptive systems [See
Biology and other natural sciences > Mathematical biology in general > Neural networks, artificial life and related topics [See also 68T05, 82C32, 94Cxx].
Bezugswerke:
Links: