000			02343nam a22003738i 4500
001			CR9781316408124
003			UkCbUP
005			20200124160215.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			150311s2015||||enk o ||1 0|eng|d
020			_a9781316408124 (ebook)
020			_z9781107124394 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA323 _b.P56 2015
082	0	0	_a515/.73 _223
100	1		_aPinkus, Allan, _d1946- _eauthor.
245	1	0	_aRidge functions / _cAllan Pinkus.
264		1	_aCambridge : _bCambridge University Press, _c2015.
300			_a1 online resource (x, 207 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v205
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aIntroduction -- 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.
520			_aRidge 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.
650		0	_aFunction spaces.
650		0	_aMultivariate analysis.
650		0	_aNumbers, Real.
776	0	8	_iPrint version: _z9781107124394
830		0	_aCambridge tracts in mathematics ; _v205.
856	4	0	_uhttps://doi.org/10.1017/CBO9781316408124
999			_c516155 _d516153