000			a
999			_c30703 _d30703
008			220322b xxu||||| |||| 00| 0 eng d
020			_a9781470467654
082			_a515.73 _bISM
100			_aIsmailov, Vugar E.
245			_aRidge functions and applications in neural networks
260			_bAmerican Mathematical Society, _c2021 _aProvidence :
300			_aix, 186 p. ; _bill., _c26 cm
365			_b125.00 _cUSD _d78.80
490			_aMathematical surveys and monographs, _v0076-5376 ; v. 263
504			_aIncludes bibliographical references and index.
520			_aRecent years have witnessed a growth of interest in the special functions called ridge functions. These functions appear in various fields and under various guises. They appear in partial differential equations (where they are called plane waves), in computerized tomography, and in statistics. Ridge functions are also the underpinnings of many central models in neural network theory. In this book various approximation theoretic properties of ridge functions are described. This book also describes properties of generalized ridge functions, and their relation to linear superpositions and Kolmogo.
650			_aFunction spaces
650			_aMultivariate analysis
650			_aApproximation theory
650			_aLinear operators
650			_aNumbers, Real
650			_aNeural networks
650			_aPlane wave
650			_a Kolmogorov's superposition theorem
650			_a Banach-Alaoglu theorem
650			_aComplexity problem
650			_aDiliberto-Straus-algorithm
650			_aFubini's theorem
650			_aHahn-Banach theorem
650			_aMLP model
650			_aProximinality
650			_aReLU function
650			_a Sigmoidel function
650			_aUniqueness problem
942			_2ddc _cBK