+
PDF
Chat
|
Data Complexity Estimates for Operator Learning
|
2024
|
Nikola B. Kovachki
Samuel Lanthaler
H. N. Mhaskar
|
+
PDF
Chat
|
Robust and tractable multidimensional exponential analysis
|
2024
|
H. N. Mhaskar
S. Kitimoon
Raghu G. Raj
|
+
PDF
Chat
|
Inversion of the Laplace Transform of Point Masses
|
2024
|
Michael J. McKenna
H. N. Mhaskar
Richard G. Spencer
|
+
PDF
Chat
|
Tractability of approximation by general shallow networks
|
2024
|
H. N. Mhaskar
Tong Mao
|
+
PDF
Chat
|
Numerical solutions to an inverse problem for a non-linear Helmholtz equation
|
2023
|
Quôc Thông Lê Gia
H. N. Mhaskar
|
+
|
Encoding of data sets and algorithms
|
2023
|
Katarina Z. Doctor
Tong Mao
H. N. Mhaskar
|
+
PDF
Chat
|
Local approximation of operators
|
2023
|
H. N. Mhaskar
|
+
|
Encoding of data sets and algorithms
|
2023
|
Katarina Z. Doctor
Tong Mao
H. N. Mhaskar
|
+
|
Approximation by non-symmetric networks for cross-domain learning
|
2023
|
H. N. Mhaskar
|
+
|
Tractability of approximation by general shallow networks
|
2023
|
H. N. Mhaskar
Tong Mao
|
+
PDF
Chat
|
A manifold learning approach for gesture recognition from micro-Doppler radar measurements
|
2022
|
Eric Mason
H. N. Mhaskar
Adam Guo
|
+
|
Local approximation of operators
|
2022
|
H. N. Mhaskar
|
+
PDF
Chat
|
Kernel Distance Measures for Time Series, Random Fields and Other Structured Data
|
2021
|
Srinjoy Das
H. N. Mhaskar
Alexander Cloninger
|
+
|
Introduction to the Special Issue on Harmonic Analysis and Machine Learning
|
2021
|
David L. Donoho
H. N. Mhaskar
Ding‐Xuan Zhou
|
+
|
A manifold learning approach for gesture identification from micro-Doppler radar measurements.
|
2021
|
Eric Mason
H. N. Mhaskar
Adam Guo
|
+
PDF
Chat
|
A Function Approximation Approach to the Prediction of Blood Glucose Levels
|
2021
|
H. N. Mhaskar
Sergei V. Pereverzyev
Maria D. van der Walt
|
+
PDF
Chat
|
A Low Discrepancy Sequence on Graphs
|
2021
|
Alexander Cloninger
H. N. Mhaskar
|
+
PDF
Chat
|
Cautious active clustering
|
2021
|
Alexander Cloninger
H. N. Mhaskar
|
+
|
A function approximation approach to the prediction of blood glucose levels
|
2021
|
H. N. Mhaskar
Sergei V. Pereverzyev
Maria D. van der Walt
|
+
|
Kernel distance measures for time series, random fields and other structured data
|
2021
|
Srinjoy Das
H. N. Mhaskar
Alexander Cloninger
|
+
|
A manifold learning approach for gesture recognition from micro-Doppler radar measurements
|
2021
|
Eric F. Mason
H. N. Mhaskar
Adam Guo
|
+
PDF
Chat
|
Kernel-Based Analysis of Massive Data
|
2020
|
H. N. Mhaskar
|
+
PDF
Chat
|
A direct approach for function approximation on data defined manifolds
|
2020
|
H. N. Mhaskar
|
+
PDF
Chat
|
A Witness Function Based Construction of Discriminative Models Using Hermite Polynomials
|
2020
|
H. N. Mhaskar
Xiuyuan Cheng
Alexander Cloninger
|
+
|
Cautious Active Clustering.
|
2020
|
Alexander Cloninger
H. N. Mhaskar
|
+
|
Kernel based analysis of massive data
|
2020
|
H. N. Mhaskar
|
+
|
Theory inspired deep network for instantaneous-frequency extraction and signal components recovery from discrete blind-source data
|
2020
|
Charles K. Chui
Ningning Han
H. N. Mhaskar
|
+
|
A low discrepancy sequence on graphs
|
2020
|
Alexander Cloninger
H. N. Mhaskar
|
+
|
Cautious Active Clustering
|
2020
|
Alexander Cloninger
H. N. Mhaskar
|
+
|
Kernel based analysis of massive data
|
2020
|
H. N. Mhaskar
|
+
PDF
Chat
|
Dimension independent bounds for general shallow networks
|
2019
|
H. N. Mhaskar
|
+
PDF
Chat
|
Super-Resolution Meets Machine Learning: Approximation of Measures
|
2019
|
H. N. Mhaskar
|
+
PDF
Chat
|
An analysis of training and generalization errors in shallow and deep networks
|
2019
|
H. N. Mhaskar
Tomaso Poggio
|
+
|
Dimension independent bounds for general shallow networks
|
2019
|
H. N. Mhaskar
|
+
|
Deep Gaussian networks for function approximation on data defined manifolds.
|
2019
|
H. N. Mhaskar
|
+
|
A direct approach for function approximation on data defined manifolds
|
2019
|
H. N. Mhaskar
|
+
|
A witness function based construction of discriminative models using Hermite polynomials
|
2019
|
H. N. Mhaskar
Alexander Cloninger
Xiuyuan Cheng
|
+
|
Function approximation by deep networks
|
2019
|
H. N. Mhaskar
Tomaso Poggio
|
+
|
Super-resolution meets machine learning: approximation of measures
|
2019
|
H. N. Mhaskar
|
+
|
Dimension independent bounds for general shallow networks
|
2019
|
H. N. Mhaskar
|
+
|
A direct approach for function approximation on data defined manifolds
|
2019
|
H. N. Mhaskar
|
+
PDF
Chat
|
Stable soft extrapolation of entire functions
|
2018
|
Dmitry Batenkov
Laurent Demanet
H. N. Mhaskar
|
+
PDF
Chat
|
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions
|
2018
|
H. N. Mhaskar
|
+
|
Deep Algorithms: designs for networks.
|
2018
|
Abhejit Rajagopal
Shivkumar Chandrasekaran
H. N. Mhaskar
|
+
PDF
Chat
|
Deep Nets for Local Manifold Learning
|
2018
|
Charles K. Chui
H. N. Mhaskar
|
+
PDF
Chat
|
Minimum Sobolev norm interpolation of scattered derivative data
|
2018
|
Shivkumar Chandrasekaran
Christopher Gorman
H. N. Mhaskar
|
+
|
A unified method for super-resolution recovery and real exponential-sum separation
|
2018
|
Charles K. Chui
H. N. Mhaskar
|
+
|
An analysis of training and generalization errors in shallow and deep networks
|
2018
|
H. N. Mhaskar
Tomaso Poggio
|
+
|
Approximate Quadrature Measures on Data-Defined Spaces
|
2018
|
H. N. Mhaskar
|
+
|
Theory of Deep Learning III: explaining the non-overfitting puzzle
|
2018
|
Tomaso Poggio
Kenji Kawaguchi
Qianli Liao
Brando Miranda
Lorenzo Rosasco
Xavier Boix
Jack D. Hidary
H. N. Mhaskar
|
+
|
An analysis of training and generalization errors in shallow and deep networks
|
2018
|
H. N. Mhaskar
Tomaso Poggio
|
+
|
Deep Algorithms: designs for networks
|
2018
|
Abhejit Rajagopal
Shivkumar Chandrasekaran
H. N. Mhaskar
|
+
|
Theory of Deep Learning III: explaining the non-overfitting puzzle
|
2017
|
Tomaso Poggio
Kenji Kawaguchi
Qianli Liao
Brando Miranda
Lorenzo Rosasco
Xavier Boix
Jack D. Hidary
H. N. Mhaskar
|
+
PDF
Chat
|
A Fourier-invariant method for locating point-masses and computing their attributes
|
2017
|
Charles K. Chui
H. N. Mhaskar
|
+
|
Function approximation with ReLU-like zonal function networks.
|
2017
|
H. N. Mhaskar
|
+
|
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions
|
2017
|
H. N. Mhaskar
|
+
|
A unified method for super-resolution recovery and real exponential-sum separation
|
2017
|
Charles K. Chui
H. N. Mhaskar
|
+
|
A Fourier-invariant method for locating point-masses and computing their attributes
|
2017
|
Charles K. Chui
H. N. Mhaskar
|
+
PDF
Chat
|
A Deep Learning Approach to Diabetic Blood Glucose Prediction
|
2017
|
H. N. Mhaskar
Sergei V. Pereverzyev
Maria D. van der Walt
|
+
|
Representation of functions on big data associated with directed graphs
|
2017
|
Charles K. Chui
H. N. Mhaskar
Xiaosheng Zhuang
|
+
PDF
Chat
|
Local Approximation Using Hermite Functions
|
2017
|
H. N. Mhaskar
|
+
|
Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science
|
2017
|
Isaac Z. Pesenson
Quôc Thông Lê Gia
Azita Mayeli
H. N. Mhaskar
Ding‐Xuan Zhou
|
+
|
A unified method for super-resolution recovery and real exponential-sum separation
|
2017
|
Charles K. Chui
H. N. Mhaskar
|
+
|
Function approximation with zonal function networks with activation functions analogous to the rectified linear unit functions
|
2017
|
H. N. Mhaskar
|
+
|
A Fourier-invariant method for locating point-masses and computing their attributes
|
2017
|
Charles K. Chui
H. N. Mhaskar
|
+
|
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality
|
2016
|
Tomaso Poggio
H. N. Mhaskar
Lorenzo Rosasco
Brando Miranda
Qianli Liao
|
+
PDF
Chat
|
Deep vs. shallow networks: An approximation theory perspective
|
2016
|
H. N. Mhaskar
Tomaso Poggio
|
+
|
Deep vs. shallow networks : An approximation theory perspective
|
2016
|
H. N. Mhaskar
Tomaso Poggio
|
+
PDF
Chat
|
A unified framework for harmonic analysis of functions on directed graphs and changing data
|
2016
|
H. N. Mhaskar
|
+
|
Data-driven atomic decomposition via frequency extraction of intrinsic mode functions
|
2016
|
Charles K. Chui
H. N. Mhaskar
Maria D. van der Walt
|
+
|
Learning Functions: When Is Deep Better Than Shallow
|
2016
|
H. N. Mhaskar
Qianli Liao
Tomaso Poggio
|
+
|
Localized Summability Kernels for Jacobi Expansions
|
2016
|
H. N. Mhaskar
|
+
|
Deep nets for local manifold learning
|
2016
|
Charles K. Chui
H. N. Mhaskar
|
+
|
Representation of functions on big data associated with directed graphs
|
2016
|
Charles K. Chui
H. N. Mhaskar
Xiaosheng Zhuang
|
+
|
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review
|
2016
|
Tomaso Poggio
H. N. Mhaskar
Lorenzo Rosasco
Brando Miranda
Qianli Liao
|
+
|
Deep vs. shallow networks : An approximation theory perspective
|
2016
|
H. N. Mhaskar
Tomaso Poggio
|
+
|
Approximate quadrature measures on data--defined spaces
|
2016
|
H. N. Mhaskar
|
+
|
Local numerical integration on the sphere
|
2014
|
Judith Beckmann
H. N. Mhaskar
Jürgen Prestin
|
+
PDF
Chat
|
Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions
|
2013
|
H. N. Mhaskar
Valeriya Naumova
Sergei V. Pereverzyev
|
+
|
Minimum Sobolev norm interpolation with trigonometric polynomials on the torus
|
2013
|
S. Chandrasekaran
K. Jayaraman
H. N. Mhaskar
|
+
|
Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles
|
2012
|
Judith Beckmann
H. N. Mhaskar
Jürgen Prestin
|
+
|
On the Problem of Parameter Estimation in Exponential Sums
|
2011
|
Frank Filbir
H. N. Mhaskar
Jürgen Prestin
|
+
|
Marcinkiewicz–Zygmund measures on manifolds
|
2011
|
Frank Filbir
H. N. Mhaskar
|
+
|
A generalized diffusion frame for parsimonious representation of functions on data defined manifolds
|
2011
|
H. N. Mhaskar
|
+
|
A Quadrature Formula for Diffusion Polynomials Corresponding to a Generalized Heat Kernel
|
2010
|
Frank Filbir
H. N. Mhaskar
|
+
|
A construction of linear bounded interpolatory operators on the torus
|
2010
|
S. Chandrasekaran
H. N. Mhaskar
|
+
|
Marcinkiewicz--Zygmund measures on manifolds
|
2010
|
Frank Filbir
H. N. Mhaskar
|
+
PDF
Chat
|
$L^p$ Bernstein estimates and approximation by spherical basis functions
|
2009
|
H. N. Mhaskar
F. J. Narcowich
Jürgen Prestin
J. D. Ward
|
+
|
Eignets for function approximation on manifolds
|
2009
|
H. N. Mhaskar
|
+
PDF
Chat
|
On a filter for exponentially localized kernels based on Jacobi polynomials
|
2009
|
Frank Filbir
H. N. Mhaskar
Jürgen Prestin
|
+
|
Eignets for function approximation on manifolds
|
2009
|
H. N. Mhaskar
|
+
|
Polynomial operators and local smoothness classes on the unit interval, II
|
2009
|
H. N. Mhaskar
|
+
PDF
Chat
|
Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere
|
2008
|
Quôc Thông Lê Gia
H. N. Mhaskar
|
+
PDF
Chat
|
Polynomial operators for spectral approximation of piecewise analytic functions
|
2008
|
H. N. Mhaskar
Jürgen Prestin
|
+
|
L^p Bernstein estimates and approximation by spherical basis functions
|
2008
|
H. N. Mhaskar
F. J. Narcowich
Jürgen Prestin
J. D. Ward
|
+
|
Polynomial operators and local smoothness classes on the unit interval, II
|
2008
|
H. N. Mhaskar
|
+
PDF
Chat
|
Constructive approximations of spherical functions
|
2007
|
M. Ganesh
H. N. Mhaskar
|
+
|
Diffusion polynomial frames on metric measure spaces
|
2007
|
Mauro Maggioni
H. N. Mhaskar
|
+
|
Quadrature Formulas on Spheres Using Scattered Data
|
2007
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
Quadrature in Besov spaces on the Euclidean sphere
|
2006
|
Kerstin Hesse
H. N. Mhaskar
Ian H. Sloan
|
+
|
Frontiers in Interpolation and Approximation
|
2006
|
N. K. Govil
H. N. Mhaskar
R. N. Mohapatra
Zuhair Nashed
J. Szabados
|
+
|
On Bounded Interpolatory and Quasi-Interpolatory Polynomial Operators
|
2006
|
H. N. Mhaskar
|
+
|
1 Orthogonal projection onto P(
|
2006
|
N. K. Govil
H. N. Mhaskar
R. N. Mohapatra
Zuhair Nashed
J. Szabados
|
+
|
Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere
|
2006
|
Quôc Thông Lê Gia
H. N. Mhaskar
|
+
|
Matrix-free Interpolation on the Sphere
|
2006
|
M. Ganesh
H. N. Mhaskar
|
+
|
On Local Smoothness Classes of Periodic Functions
|
2005
|
H. N. Mhaskar
Jürgen Prestin
|
+
|
On the representation of smooth functions on the sphere using finitely many bits
|
2005
|
H. N. Mhaskar
|
+
|
A Markov-Bernstein Inequality for Gaussian Networks
|
2005
|
H. N. Mhaskar
|
+
PDF
Chat
|
Polynomial operators and local smoothness classes on the unit interval
|
2004
|
H. N. Mhaskar
|
+
|
On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits
|
2004
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
On the tractability of multivariate integration and approximation by neural networks
|
2004
|
H. N. Mhaskar
|
+
|
Local quadrature formulas on the sphere
|
2004
|
H. N. Mhaskar
|
+
|
Polynomial Frames: A Fast Tour
|
2004
|
H. N. Mhaskar
Jürgen Prestin
|
+
|
A tribute to Géza Freud
|
2003
|
H. N. Mhaskar
|
+
|
Zonal function network frames on the sphere
|
2003
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
Neural network frames on the sphere
|
2002
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
On the Representation of Band Limited Functions Using Finitely Many Bits
|
2002
|
H. N. Mhaskar
|
+
|
On the Degree of Approximation in Multivariate Weighted Approximation
|
2002
|
H. N. Mhaskar
|
+
|
Approximation with interpolatory constraints
|
2001
|
H. N. Mhaskar
F. J. Narcowich
N. Sivakumar
Joseph Ward
|
+
PDF
Chat
|
Corrigendum to ``Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''
|
2001
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
A local discrepancy theorem
|
2001
|
В. В. Андриевскии
H.‐P. Blatt
H. N. Mhaskar
|
+
|
Quasi-Interpolation in Shift Invariant Spaces
|
2000
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
Polynomial Frames for the Detection of Singularities
|
2000
|
H. N. Mhaskar
Jürgen Prestin
|
+
PDF
Chat
|
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
|
2000
|
H. N. Mhaskar
F. J. Narcowich
J. D. Ward
|
+
|
None
|
2000
|
H. N. Mhaskar
F. J. Narcowich
Jürgen Prestin
J. D. Ward
|
+
|
None
|
2000
|
H. N. Mhaskar
Jürgen Prestin
|
+
|
Fundamentals of approximation theory / Hrushikesh Mhaskar, Davidas V. Pai
|
2000
|
H. N. Mhaskar
|
+
|
On a Sequence of Fast Decreasing Polynomial Operators
|
1999
|
H. N. Mhaskar
Jürgen Prestin
|
+
|
Bounded Quasi-Interpolatory Polynomial Operators
|
1999
|
H. N. Mhaskar
Jürgen Prestin
|
+
|
On a build-up polynomial frame for the detection of singularities
|
1999
|
H. N. Mhaskar
|
+
|
Some Discrepancy Theorems in the Theory of Weighted Polynomial Approximation
|
1998
|
H.‐P. Blatt
H. N. Mhaskar
|
+
|
Introduction to the Theory of Weighted Polynomial Approximation
|
1997
|
H. N. Mhaskar
|
+
|
On a choice of sampling nodes for optimal approximation of smooth functions by generalized translation networks
|
1997
|
H. N. Mhaskar
|
+
PDF
Chat
|
A general discrepancy theorem
|
1993
|
H.‐P. Blatt
H. N. Mhaskar
|
+
PDF
Chat
|
Weighted Polynomial Approximation of Entire Functions on Unbounded Subsets of the Complex Plane
|
1993
|
H. N. Mhaskar
|
+
|
On trigonometric wavelets
|
1993
|
Charles K. Chui
H. N. Mhaskar
|
+
|
On Multivariate Robust Stability
|
1992
|
Charles K. Chui
H. N. Mhaskar
|
+
|
Approximation by superposition of sigmoidal and radial basis functions
|
1992
|
H. N. Mhaskar
Charles A. Micchelli
|
+
|
Weighted analogues of capacity, transfinite diameter, and Chebyshev constant
|
1992
|
H. N. Mhaskar
Edward B. Saff
|
+
|
Hermite interpolation at the zeros of certain freud-type orthogonal polynomials
|
1992
|
H. N. Mhaskar
Yuan Xu
|
+
|
The distribution of zeros of asymptotically extremal polynomials
|
1991
|
H. N. Mhaskar
Edward B. Saff
|
+
|
Mean Convergence of Expansions in Freud-Type Orthogonal Polynomials
|
1991
|
H. N. Mhaskar
Yao Xu
|
+
|
A general study of maximal robust stability regions
|
1991
|
Charles K. Chui
H. N. Mhaskar
|
+
|
The convergence of Fourier series and a k-functional
|
1991
|
H. N. Mhaskar
|
+
PDF
Chat
|
Finite-infinite range inequalities in the complex plane
|
1991
|
H. N. Mhaskar
|
+
|
General Markov-Bernstein and Nikolskii type inequalities
|
1990
|
H. N. Mhaskar
|
+
|
Bounds for certain Freud-type orthogonal polynomials
|
1990
|
H. N. Mhaskar
|
+
|
On the distribution of zeros of polynomials orthogonal on the unit circle
|
1990
|
H. N. Mhaskar
Edward B. Saff
|
+
|
Approximation in certain intermediate spaces
|
1990
|
H. N. Mhaskar
|
+
|
Weighted polynomials, radial basis functions and potentials on locally compact spaces
|
1990
|
H. N. Mhaskar
|
+
|
A proof of Freud's conjecture for exponential weights
|
1988
|
D. S. Lubinsky
H. N. Mhaskar
Edward B. Saff
|
+
|
The rate of convergence of expansions in Freud polynomials
|
1988
|
H. N. Mhaskar
|
+
|
A Quantitative Dirichlet–Jordan Type Theorem for Orthogonal Polynomial Expansions
|
1988
|
H. N. Mhaskar
|
+
|
Some discrepancy theorems
|
1987
|
H. N. Mhaskar
|
+
PDF
Chat
|
Where does the 𝐿^{𝑝}-norm of a weighted polynomial live?
|
1987
|
H. N. Mhaskar
Edward B. Saff
|
+
|
Weighted polynomial approximation
|
1986
|
H. N. Mhaskar
|
+
PDF
Chat
|
Freud’s conjecture for exponential weights
|
1986
|
D. S. Lubinsky
H. N. Mhaskar
Edward B. Saff
|
+
|
Where does the sup norm of a weighted polynomial live?
|
1985
|
H. N. Mhaskar
Edward B. Saff
|
+
PDF
Chat
|
A trace theorem for Caloric functions
|
1985
|
H. N. Mhaskar
|
+
|
Extensions of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions
|
1984
|
H. N. Mhaskar
|
+
|
On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line
|
1984
|
H. N. Mhaskar
|
+
|
Polynomials with laguerre weights in Lp
|
1984
|
H. N. Mhaskar
Edward B. Saff
|
+
PDF
Chat
|
Weighted polynomials on finite and infinite intervals: a unified approach
|
1984
|
H. N. Mhaskar
E. B. Saff
|
+
PDF
Chat
|
Extremal problems for polynomials with exponential weights
|
1984
|
H. N. Mhaskar
E. B. Saff
|
+
PDF
Chat
|
K-functionals and moduli of continuity in weighted polynomial approximation
|
1983
|
G. Freud
H. N. Mhaskar
|
+
|
On a problem of G. Freud
|
1983
|
H. N. Mhaskar
|
+
|
The Rate of Monotone Spline Approximation in the $L_p $-Norm
|
1982
|
D. Leviatan
H. N. Mhaskar
|
+
|
Comonotone approximation by splines of piecewise monotone functions
|
1982
|
D. Leviatan
H. N. Mhaskar
|
+
|
Weighted polynomial approximation of entire functions, I
|
1982
|
H. N. Mhaskar
|
+
|
Weighted polynomial approximation of entire functions, II
|
1981
|
H. N. Mhaskar
|
+
|
Weighted polynomial approximation on the whole real line and related topics
|
1980
|
H. N. Mhaskar
|