Hrushikesh Mhaskar

Cited by

	All	Since 2020
Citations	8293	3193
h-index	43	24
i10-index	112	50

660

330

165

495

198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021202220232024202533 44 33 39 44 38 53 63 62 78 148 89 167 144 107 97 63 89 132 128 229 155 149 177 183 148 205 251 136 167 186 331 501 520 652 655 576 640 593 77

Public access

View all

39 articles

1 article

available

not available

Based on funding mandates

Co-authors

TOMASO POGGIOMcDermott Professor in Brain Sciences, MITVerified email at ai.mit.edu
E. B. SaffDistinguished Professor of Mathematics, Vanderbilt UniversityVerified email at vanderbilt.edu
Jürgen PrestinProfessor für Mathematik, Universität zu LübeckVerified email at math.uni-luebeck.de
J. D. WardProfessor emeritus of mathematics, Texas A&M UniversityVerified email at math.tamu.edu
Lorenzo RosascoMaLGa Machine Learning Genoa Center - Università degli Studi di GenovaVerified email at unige.it
Brando MirandaMIT, UIUC, StanfordVerified email at stanford.edu
D.S. LubinskyVerified email at math.gatech.edu
Sergei PereverzevProfessor, Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy ofVerified email at oeaw.ac.at
Maria D. van der WaltWestmont CollegeVerified email at westmont.edu
Karthik Jayaraman RaghuramApple IncVerified email at apple.com
Alexander CloningerAssociate Professor, Department of Mathematics & Halicioglu Data Science Institute, UC San DiegoVerified email at ucsd.edu
Mauro MaggioniBloomberg Distinguished Professor of Mathematics, and Applied Mathematics and StatisticsVerified email at jhu.edu
Mahadevan GaneshColorado School of MinesVerified email at mines.edu
Ian SloanProfessor of Mathematics, University of New South Wales (UNSW Australia)Verified email at unsw.edu.au
Azita MayeliProfessor of Mathematics at the City University of New YorkVerified email at gc.cuny.edu
ISAAC PESENSONProfessor of Mathematics, Temple UniversityVerified email at temple.edu
Xiaosheng ZhuangCity University of Hong KongVerified email at cityu.edu.hk
Valeriya NaumovaSimula Research LaboratoryVerified email at simula.no
Dmitry BatenkovBasis Research InstituteVerified email at basis.ai
Narendra GOVILDepartment of Mathematics and Statistics, Auburn UniversityVerified email at auburn.edu

Hrushikesh Mhaskar

Distinguished Research Professor, Claremont Graduate University

Verified email at cgu.edu

Applied and computational harmonic analysis approximation theory learning theory data/image


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Why and when can deep-but not shallow-networks avoid the curse of dimensionality: a review T Poggio, H Mhaskar, L Rosasco, B Miranda, Q Liao International Journal of Automation and Computing 14 (5), 503-519, 2017	772	2017
Neural networks for optimal approximation of smooth and analytic functions HN Mhaskar Neural computation 8 (1), 164-177, 1996	482	1996
Deep vs. shallow networks: An approximation theory perspective HN Mhaskar, T Poggio Analysis and Applications 14 (06), 829-848, 2016	459	2016
Approximation by superposition of sigmoidal and radial basis functions HN Mhaskar, CA Micchelli Advances in Applied mathematics 13 (3), 350-373, 1992	385	1992
Where does the sup norm of a weighted polynomial live? A Generalization of Incomplete Polynomials HN Mhaskar, EB Saff Constructive Approximation 1, 71-91, 1985	286	1985
When and why are deep networks better than shallow ones? H Mhaskar, Q Liao, T Poggio Proceedings of the AAAI conference on artificial intelligence 31 (1), 2017	268	2017
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature H Mhaskar, F Narcowich, J Ward Mathematics of computation 70 (235), 1113-1130, 2001	256	2001
Extremal problems for polynomials with exponential weights HN Mhaskar, EB Saff Transactions of the American Mathematical Society 285 (1), 203-234, 1984	243	1984
Introduction to the theory of weighted polynomial approximation HN Mhaskar World Scientific, 1996	224	1996
Approximation properties of a multilayered feedforward artificial neural network HN Mhaskar Advances in Computational Mathematics 1 (1), 61-80, 1993	220	1993
Degree of approximation by neural and translation networks with a single hidden layer HN Mhaskar, CA Micchelli Advances in applied mathematics 16 (2), 151-183, 1995	191	1995
Learning functions: when is deep better than shallow H Mhaskar, Q Liao, T Poggio arXiv preprint arXiv:1603.00988, 2016	183	2016
A deep learning approach to diabetic blood glucose prediction HN Mhaskar, SV Pereverzyev, MD Van der Walt Frontiers in applied mathematics and statistics 3, 14, 2017	158	2017
Fundamentals of approximation theory HN Mhaskar, DV Pai CRC Press, 2000	145	2000
Theory of deep learning III: explaining the non-overfitting puzzle T Poggio, K Kawaguchi, Q Liao, B Miranda, L Rosasco, X Boix, J Hidary, ... arXiv preprint arXiv:1801.00173, 2017	138	2017
Neural networks for localized approximation CK Chui, X Li, HN Mhaskar mathematics of computation 63 (208), 607-623, 1994	130	1994
A proof of Freud's conjecture for exponential weights DS Lubinsky, HN Mhaskar, EB Saff Constructive Approximation 4, 65-83, 1988	126	1988
On trigonometric wavelets CK Chui, HN Mhaskar Constructive Approximation 9, 167-190, 1993	120	1993
Diffusion polynomial frames on metric measure spaces M Maggioni, HN Mhaskar Applied and Computational Harmonic Analysis 24 (3), 329-353, 2008	110	2008
Dimension-independent bounds on the degree of approximation by neural networks HN Mhaskar, CA Micchelli IBM Journal of Research and Development 38 (3), 277-284, 1994	102	1994

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors