TY  - BOOK
AU  - Pinkus,Allan
TI  - Ridge functions
T2  - Cambridge tracts in mathematics
SN  - 9781316408124 (ebook)
AV  - QA323 .P56 2015
U1  - 515/.73 23
PY  - 2015///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Function spaces
KW  - Multivariate analysis
KW  - Numbers, Real
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Introduction -- Smoothness -- Uniqueness -- Indentifying functions and directions -- Polynomial ridge functions -- Density and representation -- Closure -- Existence and characterization of best approximations -- Approximation algorithms -- Integral representations -- Interpolation at points -- Interpolation on lines
N2  - Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations (where they are sometimes termed 'plane waves'), computerised tomography, projection pursuit in the analysis of large multivariate data sets, the MLP model in neural networks, Waring's problem over linear forms, and approximation theory. Ridge Functions is the first book devoted to studying them as entities in and of themselves. The author describes their central properties and provides a solid theoretical foundation for researchers working in areas such as approximation or data science. He also includes an extensive bibliography and discusses some of the unresolved questions that may set the course for future research in the field
UR  - https://doi.org/10.1017/CBO9781316408124
ER  -