Keyword

multivariate approximation

Description: The mathematical study of approximating functions of several variables, including approximation and interpolation using suitable function systems.

Primary topic: Mathematical Approximation and Integration (26%)

OpenAlex ID: keywords/multivariate-approximation

Radial basis functions

2000 · M. D. Buhmann · Acta Numerica · 1,656

Approximation of Functions of Several Variables and Imbedding Theorems

1975 · Sergei Mihailovic Nikol’skii · Springer eBooks · 1,198

Splines and Variational Methods.

1991 · L. B. W., P. M. Prenter · Mathematics of Computation · 1,135

Stochastic choice of basis functions in adaptive function approximation and the functional-link net

1995 · B. Igelnik, Yoh-Han Pao · IEEE Transactions on Neural Networks · 957

A network that learns to recognize three-dimensional objects

1990 · T. Poggio, S. Edelman · Nature · 921

Orthogonal Polynomials of Several Variables

2001 · Charles F. Dunkl, Yuan Xu · Cambridge University Press eBooks · 652

Estimating differential quantities using polynomial fitting of osculating jets

2004 · F. Cazals, M. Pouget · Computer Aided Geometric Design · 456

Linear Information

2008 · Erich Novak, Henryk Woźniakowski · EMS tracts in mathematics · 380

Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation

1971 · William J. Gordon · SIAM Journal on Numerical Analysis · 334

Low-rank tensor completion by Riemannian optimization

2013 · Daniel Kressner, Michael Steinlechner, et al. · BIT Numerical Mathematics · 289

"A Course in Approximation Theory"

2004 · G. E. Fasshauer, Ward Cheney, et al. · American Mathematical Monthly · 286

Multilevel preconditioning

1992 · Wolfgang Dahmen, Angela Kunoth · Numerische Mathematik · 276

Tractability of Multivariate Problems: Volume I: Linear Information

2008 · Erich Novak, Henryk Woźniakowski · 265

Efficient Implementation of High Dimensional Model Representations

2001 · Ömer F. Alış, Herschel Rabitz · Journal of Mathematical Chemistry · 257

A Theory of How the Brain Might Work

1990 · T. Poggio · Cold Spring Harbor Symposia on Quantitative Biology · 252

Box Splines

1993 · Carl de Boor, Klaus Höllig, et al. · Applied mathematical sciences · 251

Approximation of function and its derivatives using radial basis function networks

2003 · Nam Mai-Duy, Thanh Tran-Cong · Applied Mathematical Modelling · 240

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Harmonic Analysis of Neural Networks

1999 · Emmanuel J. Candès · Applied and Computational Harmonic Analysis · 235

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Kolmogorov's Theorem Is Relevant

1991 · Věra Kůrková · Neural Computation · 202

Algorithm 847

2005 · Andreas Klimke, Barbara Wohlmuth · ACM Transactions on Mathematical Software · 197

Representation Properties of Networks: Kolmogorov's Theorem Is Irrelevant

1989 · Federico Girosi, Tomaso Poggio · Neural Computation · 194

Approximation by ridge functions and neural networks with one hidden layer

1992 · Charles K. Chui, Xin Li · Journal of Approximation Theory · 179

Topics in Multivariate Approximation

1987 · Elsevier eBooks · 172

Multivariate cardinal interpolation with radial-basis functions

1990 · M. D. Buhmann · Constructive Approximation · 163

Extensions of results of Komlós, Major, and Tusnády to the multivariate case

1989 · Uwe Einmahl · Journal of Multivariate Analysis · 162

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Works count: 1,730

Citation count: 27,970