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Micchelli, Charles A.

Author ID: micchelli.charles-a Recent zbMATH articles by "Micchelli, Charles A."
Published as: Micchelli, Charles A.; Micchelli, C. A.; Micchelli, Charles; Micchelli, Ch. A.; Miccheli, Charles A.; Micchelli, C. A. E.; Micchelli, C.
External Links: MGP · dblp
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Co-Authors

46 single-authored
49 Dahmen, Wolfgang A.
27 Xu, Yuesheng
18 Pinkus, Allan M.
17 Goodman, Timothy N. T.
13 Pontil, Massimiliano
11 Rivlin, Theodore Joseph
10 Cavaretta, Alfred S. jun.
9 Sharma, Ambikeshwar
8 Sauer, Tomas
7 Buhmann, Martin Dietrich
7 Chen, Zhongying
7 Dyn, Nira
6 Jia, Rong-Qing
6 Smith, Philip W.
5 Chen, Qiuhui
5 Fisher, Stephen D.
5 Gasca, Mariano
5 Mhaskar, Hrushikesh N.
4 Argyriou, Andreas
4 Karlin, Samuel
4 Lee, Yeon Ju
4 Prautzsch, Hartmut
4 Rodriguez, Giuseppe
4 Seatzu, Sebastiano
3 Basu, Sankar
3 Chen, Hanlin
3 Dinh Dũng
3 Edelman, Alan Stuart
3 Goldman, Ronald N.
3 Miranker, Willard Lee
3 Olsen, Peder A.
3 Shen, Lixin
3 Utreras, Florencio I.
3 Ward, Joseph Dinneen
3 Yoon, Jungho
3 Zhang, Haizhang
3 Zhou, Dingxuan
2 Barry, Phillip J.
2 DeVore, Ronald A.
2 Floater, Michael S.
2 Hoffman, Alan J.
2 Lawton, Wayne M.
2 Melkman, Avraham A.
2 Peña, Juan Manuel
2 Rinott, Yosef
2 Sun, Qiyu
2 Wang, Yi
2 Yu, Bo
1 Adler, Roy Lee
1 Baldassarre, Luca
1 Baxter, Brad J. C.
1 Boyd, Geoff
1 Caponnetto, Andrea
1 Carnicer, Jésus Miguel
1 Chui, Charles Kam-tai
1 Combettes, Patrick L.
1 Cotronei, Mariantonia
1 De Villiers, Johan Marthinus
1 Dikshit, Hanuman Prasad
1 Dress, Andreas W. M.
1 Evgeniou, Theodoros
1 Feig, Ephraim
1 FitzGerald, Carl H.
1 Friedland, Shmuel
1 Gal, Shmuel
1 Goh, Say Song
1 Gori, Laura
1 Gormaz, Raúl
1 Höllig, Klaus H.
1 Horváth, Gábor
1 Howard, Ralph E.
1 Hu, Rizhang
1 Hu, Yingsheng
1 Huy, Vu Nhat
1 Johnson, Olin G.
1 Khompurngson, Kannika
1 Kim, Hong Oh
1 Kitchens, Bruce P.
1 Lee, Seng Luan
1 Levin, David N.
1 Li, Chun
1 Li, Qia
1 Li, Xin
1 Li, Yuesheng
1 Li, Zheng
1 Limaye, Balmohan Vishnu
1 Liu, Jianqiang
1 Lo Cascio, Maria Laura
1 Mcdonald, Andrew M.
1 Milman, Pierre D.
1 Morales, Jean M.
1 Noakes, Lyle
1 Pai, Devidas V.
1 Paul, George
1 Peng, Silong
1 Rabut, Christophe
1 Ron, Amos
1 Said, Hassan B.
1 Schoenberg, Isaac Jacob
1 Seidel, Hans-Peter
...and 16 more Co-Authors
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Serials

16 Advances in Computational Mathematics
13 Journal of Approximation Theory
9 Constructive Approximation
8 Numerische Mathematik
8 Numerical Algorithms
8 Linear Algebra and its Applications
7 Annals of Numerical Mathematics
6 SIAM Journal on Numerical Analysis
6 Computer Aided Geometric Design
6 Journal of Machine Learning Research (JMLR)
4 Mathematics of Computation
4 Journal of Computational and Applied Mathematics
4 Proceedings of the American Mathematical Society
4 Advances in Applied Mathematics
4 Journal of Complexity
4 Vietnam Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Transactions of the American Mathematical Society
3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
3 SIAM Journal on Mathematical Analysis
3 Applied and Computational Harmonic Analysis
2 Inverse Problems
2 Israel Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Advances in Mathematics
2 Calcolo
2 Computing
2 Journal of Multivariate Analysis
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 Southeast Asian Bulletin of Mathematics
2 Analysis
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Approximation Theory and its Applications
2 SIAM Journal on Matrix Analysis and Applications
2 Aequationes Mathematicae
2 IBM Journal of Research and Development
2 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas
2 Analysis and Applications (Singapore)
2 Jaen Journal on Approximation
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 IMA Journal of Numerical Analysis
1 Journal d’Analyse Mathématique
1 Journal of the Australian Mathematical Society, Series B
1 Journal of the Institute of Mathematics and its Applications
1 Studia Mathematica
1 Arkiv för Matematik
1 American Journal of Mathematics
1 Applied Mathematics and Computation
1 BIT
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Indagationes Mathematicae
1 Indiana University Mathematics Journal
1 Journal of the Association for Computing Machinery
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studia Scientiarum Mathematicarum Hungarica
1 Journal of Integral Equations
1 SIAM Journal on Scientific and Statistical Computing
1 Acta Mathematicae Applicatae Sinica. English Series
1 Multidimensional Systems and Signal Processing
1 Machine Learning
1 Neural Computation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 The Journal of Fourier Analysis and Applications
1 East-West Journal of Mathematics
1 Communications on Pure and Applied Analysis
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Bulletin of the American Mathematical Society
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 ISNM. International Series of Numerical Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Mathematics and its Applications (Dordrecht)
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Series in Approximations and Decompositions
1 Cambridge Monographs on Applied and Computational Mathematics
1 NATO Science Series III: Computer & Systems Sciences
1 Complex Analysis and Operator Theory

Publications by Year

Citations contained in zbMATH Open

249 Publications have been cited 5,302 times in 3,527 Documents Cited by Year
Interpolation of scattered data: distance matrices and conditionally positive definite functions. Zbl 0625.41005
Micchelli, Charles A.
451
1986
Stationary subdivision. Zbl 0741.41009
Cavaretta, Alfred S.; Dahmen, Wolfgang; Micchelli, Charles A.
326
1991
Using the refinement equations for the construction of prewavelets. II: Powers of two. Zbl 0777.41013
Jia, Rong-Qing; Micchelli, Charles A.
169
1991
A survey of optimal recovery. Zbl 0386.93045
Micchelli, C. A.; Rivlin, T. J.
112
1978
Some new characterizations of the Chebyshev polynomials. Zbl 0291.33012
Micchelli, C. A.; Rivlin, T. J.
106
1974
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
102
2011
Universal kernels. Zbl 1222.68266
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
93
2006
Uniform refinement of curves. Zbl 0668.65011
Micchelli, Charles A.; Prautzsch, Hartmut
84
1989
Translates of multivariate splines. Zbl 0522.41009
Dahmen, Wolfgang; Micchelli, Charles A.
82
1983
Approximation by superposition of sigmoidal and radial basis functions. Zbl 0763.41015
Mhaskar, H. N.; Micchelli, Charles A.
81
1992
A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation. Zbl 0456.41003
Micchelli, Charles A.
73
1980
On linear independence for integer translates of a finite number of functions. Zbl 0790.41016
Jia, Rong-Qing; Micchelli, Charles A.
72
1993
Learning the kernel function via regularization. Zbl 1222.68265
Micchelli, Charles A.; Pontil, Massimiliano
70
2005
Optimal nonlinear approximation. Zbl 0682.41033
De Vore, Ronald A.; Howard, Ralph; Micchelli, Charles
69
1989
On learning vector-valued functions. Zbl 1092.93045
Micchelli, Charles A.; Pontil, Massimiliano
66
2005
Lectures on optimal recovery. Zbl 0698.41024
Micchelli, C. A.; Rivlin, T. J.
60
1984
Using the refinement equation for evaluating integrals of wavelets. Zbl 0773.65006
Dahmen, Wolfgang; Micchelli, Charles A.
59
1993
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
59
1995
Optimal estimation of linear operators in Hilbert spaces from inaccurate data. Zbl 0399.65037
Melkman, Avraham A.; Micchelli, Charles A.
58
1979
Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26–30, 1994. Zbl 0884.00045
58
1996
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
58
1994
Polynomial preconditioners for conjugate gradient calculations. Zbl 0563.65020
Johnson, Olin G.; Micchelli, Charles A.; Paul, George
56
1983
Recent progress in multivariate splines. Zbl 0559.41011
Dahmen, Wolfgang; Micchelli, Charles A.
56
1983
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
53
1997
Learning multiple tasks with kernel methods. Zbl 1222.68197
Evgeniou, Theodoros; Micchelli, Charles A.; Pontil, Massimiliano
53
2005
Fast collocation methods for second kind integral equations. Zbl 1016.65107
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
53
2002
On the local linear independence of translates of a box spline. Zbl 0545.41018
Dahmen, Wolfgang; Micchelli, Charles A.
50
1985
Spectral radius formulas for subdivision operators. Zbl 0840.42020
Goodman, T. N. T.; Micchelli, Charles A.; Ward, J. D.
48
1994
On a numerically efficient method for computing multivariate B-splines. Zbl 0422.41008
Micchelli, Charles A.
47
1979
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
45
1997
Reconstruction and decomposition algorithms for biorthogonal multiwavelets. Zbl 0872.42010
Micchelli, Charles A.; Xu, Yuesheng
44
1997
The n-width of sets of analytic functions. Zbl 0451.30032
Fisher, S. D.; Micchelli, Charles A.
41
1980
Constrained \(L_ p\) approximation. Zbl 0582.41002
Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D.
39
1985
Mathematical aspects of geometric modeling. Zbl 0864.65008
Micchelli, Charles A.
39
1995
Wavelet Galerkin methods for second-kind integral equations. Zbl 0913.65129
Micchelli, Charles A.; Xu, Yuesheng; Zhao, Yunhe
39
1997
On vector subdivision. Zbl 0930.65007
Micchelli, Charles A.; Sauer, Thomas
38
1998
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
38
1997
Multiscale methods for Fredholm integral equations. Zbl 1332.65188
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
38
2015
On the solution of certain systems of partial difference equations and linear dependence of translates of box splines. Zbl 0637.41012
Dahmen, Wolfgang; Micchelli, Charles A.
37
1985
A multilevel method for solving operator equations. Zbl 0990.65059
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
37
2001
Piecewise polynomial spaces and geometric continuity of curves. Zbl 0638.65010
Dyn, Nira; Micchelli, Charles A.
36
1988
A construction of interpolating wavelets on invariant sets. Zbl 1051.65009
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
36
1999
Smoothing and interpolation in a convex subset of a Hilbert space. Zbl 0651.65046
Micchelli, Charles A.; Utreras, Florencio I.
36
1988
The optimal recovery of smooth functions. Zbl 0335.65004
Micchelli, C. A.; Rivlin, T. J.; Winograd, S.
36
1976
Interpolation of scattered data: Distance matrices and conditionally positive definite functions. Zbl 0558.41012
Micchelli, Charles A.
35
1984
Moment theory for weak Chebyshev systems with applications to monosplines, quadrature formulae and best one-sided \(L^1\)-approximation by spline functions with fixed knots. Zbl 0353.41003
Micchelli, C. A.; Pinkus, Allan
35
1977
Universal multi-task kernels. Zbl 1225.68155
Caponnetto, Andrea; Micchelli, Charles A.; Pontil, Massimiliano; Ying, Yiming
34
2008
Cardinal \(\mathcal L\)-splines. Zbl 0343.41008
Micchelli, Charles A.
34
1976
The saturation class and iterates of the Bernstein polynomials. Zbl 0258.41012
Micchelli, Charles
34
1973
Proximity algorithms for the L1/TV image denoising model. Zbl 1275.65014
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying
33
2013
Using the refinement equation for the construction of pre-wavelets. Zbl 0759.65005
Micchelli, Charles A.
32
1991
Compactly supported fundamental functions for spline interpolation. Zbl 0646.65012
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
32
1988
Interpolatory subdivision schemes and wavelets. Zbl 0883.42024
Micchelli, Charles A.
32
1996
Blossoming begets \(B\)-spline bases built better by \(B\)-patches. Zbl 0757.41014
Dahmen, Wolfgang; Micchelli, Charles A.; Seidel, Hans-Peter
30
1992
Subdivision algorithms for the generation of box spline surfaces. Zbl 0581.65011
Dahmen, Wolfgang; Micchelli, Charles A.
29
1984
The number of solutions to linear diophantine equations and multivariate splines. Zbl 0655.10013
Dahmen, Wolfgang; Micchelli, Charles A.
29
1988
Some problems in the approximation of functions of two variables and n- widths of integral operators. Zbl 0396.41014
Micchelli, Charles A.; Pinkus, Allan
29
1978
Studies in spline functions and approximation theory. Zbl 0323.00007
Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J.
29
1976
Multiquadratic interpolation improved. Zbl 0764.41001
Buhmann, Martin D.; Micchelli, Charles A.
28
1992
On multivariate E-splines. Zbl 0706.41010
Dahmen, Wolfgang; Micchelli, Charles A.
28
1989
Spectral fractorization of Laurent polynomials. Zbl 0886.65013
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
28
1997
Discrete wavelet Petrov–Galerkin methods. Zbl 0998.65120
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
27
2002
Convexity of multivariate Bernstein polynomials and box spline surfaces. Zbl 0689.41013
Dahmen, Wolfgang; Micchelli, Charles A.
27
1988
Nonlinear stationary subdivision. Zbl 0902.41001
Floater, Michael S.; Micchelli, Charles A.
26
1998
The fundamental theorem of algebra for monosplines with multiplicities. Zbl 0253.41006
Micchelli, Charles
26
1972
The fundamental theorem of algebra for monosplines satisfying boundary conditions. Zbl 0294.41016
Karlin, Samuel; Micchelli, Charles
26
1972
Almost strictly totally positive matrices. Zbl 0752.15016
Gasca, M.; Micchelli, Charles A.; Peña, J. M.
24
1992
A function representation for learning in Banach spaces. Zbl 1078.68129
Micchelli, Charles A.; Pontil, Massimiliano
23
2004
On the linear independence of multivariate B-splines. I. Triangulations of simploids. Zbl 0498.41004
Dahmen, Wolfgang A.; Micchelli, Charles A.
23
1982
On refinement equations determined by Pólya frequency sequences. Zbl 0761.42015
Goodman, T. N. T.; Micchelli, Charles A.
23
1992
Multivariate splines: a probabilistic perspective. Zbl 0623.41014
Karlin, S.; Micchelli, C. A.; Rinott, Y.
23
1986
Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines. Zbl 0339.41022
Micchelli, Charles A.
23
1977
Selected papers of Alan J. Hoffman. With commentary. Edited by Charles A. Micchelli. Zbl 1041.01013
Hoffman, Alan J.
22
2003
A formula for Kergin interpolation in \(R^ k\). Zbl 0454.41002
Micchelli, Charles A.; Milman, Pierre
22
1980
On the approximation order from certain multivariate spline spaces. Zbl 0558.41013
Dahmen, Wolfgang; Micchelli, Charles A.
22
1984
Turan formulae and highest precision quadrature rules for Chebyshev coefficients. Zbl 0288.65013
Micchelli, C. A.; Rivlin, T. J.
22
1972
When is there a representer theorem? Vector versus matrix regularizers. Zbl 1235.68128
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
21
2009
A proximity algorithm accelerated by Gauss-Seidel iterations for L1/TV denoising models. Zbl 1273.65085
Li, Qia; Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
21
2012
On functions which preserve the class of Stieltjes matrices. Zbl 0405.15011
Micchelli, Charles A.; Willoughby, R. A.
20
1979
Using the refinement equation for the construction of pre-wavelets. V: Extensibility of trigonometric polynomials. Zbl 0765.65023
Jia, R.-Q.; Micchelli, C. A.
20
1992
Optimal sequential and non-sequential procedures for evaluating a functional. Zbl 0445.65010
Gal, Shmuel; Micchelli, Charles A.
20
1980
On spectral learning. Zbl 1242.68201
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
20
2010
Spline spaces are optimal for \(L^2\) n-width. Zbl 0384.41005
Melkman, Avraham A.; Micchelli, Charles A.
19
1978
Weak convergence of the area of nonparametric \(L_1\) surfaces. Zbl 0412.41018
Micchelli, Ch. A.; Pinkus, A.
17
1977
Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces. Zbl 0784.15005
Dahmen, Wolfgang; Micchelli, Charles A.
16
1993
Corner cutting algorithms for the Bézier representation of free form curves. Zbl 0652.41003
Goodman, T. N. T.; Micchelli, Charles A.
16
1988
On weight functions which admit explicit Gauss-Turán quadrature formulas. Zbl 0853.65027
Gori, Laura; Micchelli, Charles A.
16
1996
Quadrature formulae and Hermite-Birkhoff interpolation. Zbl 0259.41016
Micchelli, C. A.; Rivlin, T. J.
16
1973
Uncertainty principles in Hilbert spaces. Zbl 1027.47028
Goh, Say Song; Micchelli, Charles A.
16
2002
Admissible slopes for monotone and convex interpolation. Zbl 0624.41001
Edelman, Alan; Micchelli, Charles A.
15
1987
Using the refinement equation for the construction of pre-wavelets. III: Elliptic splines. Zbl 0765.65024
Micchelli, Charles A.; Rabut, Christophe; Utreras, Florencio I.
15
1991
The design of curves and surfaces by subdivision algorithms. Zbl 0683.65005
Cavaretta, Alfred S.; Micchelli, Charles A.
15
1989
Some remarks on nonnegative polynomials on polyhedra. Zbl 0706.26013
Micchelli, Charles A.; Pinkus, Allan
15
1989
Using parameters to increase smoothness of curves and surfaces generated by subdivision. Zbl 0711.65007
Dyn, Nira; Levin, David; Micchelli, Charles A.
15
1990
Statistical encounters with B-splines. Zbl 0615.62021
Dahmen, Wolfgang; Micchelli, Charles A.
15
1986
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
15
1994
Functions that preserve families of positive semidefinite matrices. Zbl 0852.43004
FitzGerald, Carl H.; Micchelli, Charles A.; Pinkus, Allan
15
1995
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
14
2016
Oscillation matrices and cardinal spline interpolation. Zbl 0342.41004
Micchelli, Charles A.
14
1976
Continuous refinement equations and subdivision. Zbl 0824.65144
Dahmen, Wolfgang; Micchelli, Charles A.
14
1993
Fixed-point proximity algorithm for minimal norm interpolation. Zbl 1440.15015
Li, Zheng; Micchelli, Charles A.; Xu, Yuesheng
3
2020
Approximation by translates of a single function of functions in space induced by the convolution with a given function. Zbl 1428.41040
Dũng, Dinh; Micchelli, Charles A.; Huy, Vu Nhat
1
2019
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
14
2016
Corrigendum to “Multivariate approximation by translates of the Korobov function on Smolyak grids”. Zbl 1382.42005
Dũng, Dinh; Micchelli, Charles A.
2
2016
On multivariate discrete least squares. Zbl 1358.41005
Lee, Yeon Ju; Micchelli, Charles A.; Yoon, Jungho
1
2016
Multiscale methods for Fredholm integral equations. Zbl 1332.65188
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
38
2015
A study on multivariate interpolation by increasingly flat kernel functions. Zbl 1331.41003
Lee, Yeon Ju; Micchelli, Charles A.; Yoon, Jungho
5
2015
On convergence of flat multivariate interpolation by translation kernels with finite smoothness. Zbl 1308.41001
Lee, Yeon Ju; Micchelli, Charles A.; Yoon, Jungho
9
2014
Proximity algorithms for the L1/TV image denoising model. Zbl 1275.65014
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying
33
2013
Regularizers for structured sparsity. Zbl 1297.62153
Micchelli, Charles A.; Morales, Jean M.; Pontil, Massimiliano
11
2013
On computing with the Hilbert spline transform. Zbl 1268.41005
Micchelli, Charles A.; Xu, Yuesheng; Yu, Bo
5
2013
Multivariate approximation by translates of the Korobov function on Smolyak grids. Zbl 1305.42006
Dũng, Dinh; Micchelli, Charles A.
5
2013
On collocation matrices for interpolation and approximation. Zbl 1282.41002
Lee, Yeon Ju; Micchelli, Charles A.
4
2013
Finite rank kernels for multi-task learning. Zbl 1267.41003
Liu, Jianqiang; Micchelli, Charles A.; Wang, Rui; Xu, Yuesheng
2
2013
On sparsity inducing regularization methods for machine learning. Zbl 1330.68245
Argyriou, Andreas; Baldassarre, Luca; Micchelli, Charles A.; Pontil, Massimiliano
2
2013
A proximity algorithm accelerated by Gauss-Seidel iterations for L1/TV denoising models. Zbl 1273.65085
Li, Qia; Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
21
2012
The Bedrosian identity for functions analytic in a neighborhood of the unit circle. Zbl 1276.42008
Chen, Qiuhui; Micchelli, Charles A.
5
2012
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
102
2011
Hide. Zbl 1263.46028
Khompurngson, Kannika; Micchelli, Charles A.
1
2011
On spectral learning. Zbl 1242.68201
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
20
2010
Functions with spline spectra and their applications. Zbl 1186.42014
Chen, Qiuhui; Micchelli, Charles A.; Wang, Yi
7
2010
When is there a representer theorem? Vector versus matrix regularizers. Zbl 1235.68128
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
21
2009
Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
14
2009
Universal multi-task kernels. Zbl 1225.68155
Caponnetto, Andrea; Micchelli, Charles A.; Pontil, Massimiliano; Ying, Yiming
34
2008
On translation invariant operators which preserve the B-spline recurrence. Zbl 1283.41010
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
1
2008
Feature space perspectives for learning the kernel. Zbl 1470.68148
Micchelli, Charles A.; Pontil, Massimiliano
6
2007
On the matrix completion problem for multivariate filter bank construction. Zbl 1128.65111
Chen, Qiuhui; Micchelli, Charles A.; Xu, Yuesheng
2
2007
Interpolation filters with prescribed zeros and their refinable functions. Zbl 1214.42074
Micchelli, C. A.; Sun, Q.
2
2007
Universal kernels. Zbl 1222.68266
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
93
2006
Refinable functions from Blaschke products. Zbl 1134.42337
Cotronei, Mariantonia; Lo Cascio, Maria Laura; Kim, Hong Oh; Micchelli, Charles A.; Sauer, Tomas
3
2006
Learning the kernel function via regularization. Zbl 1222.68265
Micchelli, Charles A.; Pontil, Massimiliano
70
2005
On learning vector-valued functions. Zbl 1092.93045
Micchelli, Charles A.; Pontil, Massimiliano
66
2005
Learning multiple tasks with kernel methods. Zbl 1222.68197
Evgeniou, Theodoros; Micchelli, Charles A.; Pontil, Massimiliano
53
2005
Learning convex combinations of continuously parameterized basic kernels. Zbl 1137.68517
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
10
2005
Biorthogonal multivariate filter banks from centrally symmetric matrices. Zbl 1079.65141
Chen, Qiuhui; Micchelli, Charles A.; Xu, Yuesheng
1
2005
Rao distances. Zbl 1116.62354
Micchelli, Charles A.; Noakes, Lyle
1
2005
A function representation for learning in Banach spaces. Zbl 1078.68129
Micchelli, Charles A.; Pontil, Massimiliano
23
2004
Selected papers of Alan J. Hoffman. With commentary. Edited by Charles A. Micchelli. Zbl 1041.01013
Hoffman, Alan J.
22
2003
Multivariate filter banks having matrix factorizations. Zbl 1043.42026
Chen, Qiuhui; Micchelli, Charles A.; Peng, Silong; Xu, Yuesheng
7
2003
Refinable functions: positivity and interpolation. Zbl 1071.42025
Micchelli, Charles A.; Zhou, Ding-Xuan
1
2003
Continuous refinable functions and self similarity. Zbl 1087.42026
Micchelli, Charles A.; Sauer, Thomas
1
2003
Advances in learning theory. Methods, models and applications. Proceedings of the NATO Advanced Study Institute, Leuven, Belgium, July 8–19, 2002. Zbl 1079.68601
Basu, S.
1
2003
Fast collocation methods for second kind integral equations. Zbl 1016.65107
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
53
2002
Discrete wavelet Petrov–Galerkin methods. Zbl 0998.65120
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
27
2002
Uncertainty principles in Hilbert spaces. Zbl 1027.47028
Goh, Say Song; Micchelli, Charles A.
16
2002
Refinable functions from their values at integers. Zbl 1035.42036
Micchelli, Charles A.; Sun, Qiyu
1
2002
A multilevel method for solving operator equations. Zbl 0990.65059
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
37
2001
Subdivision schemes for iterated function systems. Zbl 0978.54012
Micchelli, Charles A.; Sauer, Thomas; Xu, Yuesheng
4
2001
Riesz bases in subspaces of \(L_2 (\mathbb{R}_+)\). Zbl 0997.46024
Goodman, T. N. T.; Micchelli, C. A.; Shen, Zuowei
3
2001
Binomial matrices. Zbl 0996.15005
Boyd, Geoff; Micchelli, Charles A.; Strang, Gilbert; Zhou, Ding-Xuan
1
2001
Approximation by radial bases and neural networks. Zbl 0976.65014
Li, Xin; Micchelli, Charles A.
13
2000
On the Cholesky factorization of the Gram matrix of multivariate functions. Zbl 0977.65024
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
10
2000
Building refinable functions from their values at integers. Zbl 0971.65123
de Villiers, Johan M.; Micchelli, Charles A.; Sauer, Thomas
4
2000
Bézout identities with inequality constraints. Zbl 0971.65124
Lawton, Wayne M.; Micchelli, Charles A.
3
2000
Penalized maximum-likelihood estimation, the Baum-Welch algorithm, diagonal balancing of symmetric matrices and applications to training acoustic data. Zbl 0962.65008
Micchelli, Charles A.; Olsen, Peder
2
2000
A construction of interpolating wavelets on invariant sets. Zbl 1051.65009
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
36
1999
On vector subdivision. Zbl 0930.65007
Micchelli, Charles A.; Sauer, Thomas
38
1998
Nonlinear stationary subdivision. Zbl 0902.41001
Floater, Michael S.; Micchelli, Charles A.
26
1998
Advances in computational mathematics. Proceedings of the Guangzhou international symposium, Zhongshan University, Guangzhou, China. Zbl 0919.00066
13
1998
A construction of refinable sets for interpolating wavelets. Zbl 0921.65097
Micchelli, Charles A.; Sauer, Thomas; Xu, Yuesheng
8
1998
On the spectral radius of a bi-infinite periodic and slanted matrix. Zbl 0920.15002
Goodman, Tim N. T.; Jia, Rong-Qing; Micchelli, Charles A.
7
1998
On the limiting profile arising from orthonormalizing shifts of exponentially decaying functions. Zbl 0909.65006
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
5
1998
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
53
1997
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
45
1997
Reconstruction and decomposition algorithms for biorthogonal multiwavelets. Zbl 0872.42010
Micchelli, Charles A.; Xu, Yuesheng
44
1997
Wavelet Galerkin methods for second-kind integral equations. Zbl 0913.65129
Micchelli, Charles A.; Xu, Yuesheng; Zhao, Yunhe
39
1997
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
38
1997
Spectral fractorization of Laurent polynomials. Zbl 0886.65013
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
28
1997
Sobolev norm convergence of stationary subdivision schemes. Zbl 0937.65148
Micchelli, Charles A.; Sauer, Thomas
5
1997
Construction of conjugate quadrature filters with specified zeros. Zbl 0902.65008
Lawton, Wayne; Micchelli, Charles A.
4
1997
On a family of filters arising in wavelet construction. Zbl 0866.42026
Micchelli, Charles A.
4
1997
Asymptotically optimal approximation and numerical solutions of differential equations. Zbl 1031.65024
Buhmann, Martin D.; Micchelli, Charles A.; Ron, Amos
1
1997
On a measure of dissimilarity for normal probability densities. Zbl 1090.62541
Micchelli, Charles A.
1
1997
Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26–30, 1994. Zbl 0884.00045
58
1996
Interpolatory subdivision schemes and wavelets. Zbl 0883.42024
Micchelli, Charles A.
32
1996
On weight functions which admit explicit Gauss-Turán quadrature formulas. Zbl 0853.65027
Gori, Laura; Micchelli, Charles A.
16
1996
On multivariate splines, matroids, and the ext-functor. Zbl 0908.41004
Dahmen, Wolfgang; Dress, Andreas; Micchelli, Charles A.
3
1996
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
59
1995
Mathematical aspects of geometric modeling. Zbl 0864.65008
Micchelli, Charles A.
39
1995
Functions that preserve families of positive semidefinite matrices. Zbl 0852.43004
FitzGerald, Carl H.; Micchelli, Charles A.; Pinkus, Allan
15
1995
On the Cholesky factorization of the Gram matrix of locally supported functions. Zbl 0833.15010
Goodman, T. N. T.; Micchelli, C. A.; Rodriguez, G.; Seatzu, S.
7
1995
Spectral radius formulas for the dilation-convolution integral operator. Zbl 0843.42014
Goodman, T. N. T.; Micchelli, Charles; Ward, J. D.
3
1995
Weakly singular Fredholm integral equations. I: Singularity preserving wavelet-Galerkin methods. Zbl 0928.65165
Micchelli, Charles A.; Xu, Yuesheng
2
1995
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
58
1994
Spectral radius formulas for subdivision operators. Zbl 0840.42020
Goodman, T. N. T.; Micchelli, Charles A.; Ward, J. D.
48
1994
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
15
1994
Using two-slanted matrices for subdivision. Zbl 0802.65003
Buhmann, Martin D.; Micchelli, Charles A.
8
1994
Orthonormal cardinal functions. Zbl 0857.42021
Goodman, T. N. T.; Micchelli, Charles A.
6
1994
Variational problems arising from balancing several error criteria. Zbl 0809.49021
Micchelli, C. A.; Pinkus, A.
4
1994
Banded matrices with banded inverses. III: p-slanted matrices. Zbl 0817.65032
Gasca, M.; Micchelli, C. A.; Peña, J. M.
3
1994
Norm estimates for the \(l^ 2\)-inverses of multivariate Toeplitz matrices. Zbl 0790.15024
Baxter, B. J. C.; Micchelli, C. A. E.
2
1994
Using the matrix refinement equation for the construction of wavelets. II: Smooth wavelets on \([0,1]\). Zbl 0888.42021
Micchelli, Charles A.; Xu, Yuesheng
2
1994
On linear independence for integer translates of a finite number of functions. Zbl 0790.41016
Jia, Rong-Qing; Micchelli, Charles A.
72
1993
Using the refinement equation for evaluating integrals of wavelets. Zbl 0773.65006
Dahmen, Wolfgang; Micchelli, Charles A.
59
1993
Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces. Zbl 0784.15005
Dahmen, Wolfgang; Micchelli, Charles A.
16
1993
Continuous refinement equations and subdivision. Zbl 0824.65144
Dahmen, Wolfgang; Micchelli, Charles A.
14
1993
Optimal estimation of linear operators from inaccurate data: A second look. Zbl 0794.65052
Micchelli, Charles A.
8
1993
Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices. Zbl 0824.65005
Barry, Phillip J.; Goldman, Ronald N.; Micchelli, Charles A.
6
1993
Using the refinement equation for the construction of pre-wavelets. IV: Cube splines and elliptic splines united. Zbl 0784.65012
Micchelli, Charles A.
1
1993
Approximation by superposition of sigmoidal and radial basis functions. Zbl 0763.41015
Mhaskar, H. N.; Micchelli, Charles A.
81
1992
...and 149 more Documents
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Cited by 3,818 Authors

92 Micchelli, Charles A.
58 Xu, Yuesheng
43 Jia, Rong-Qing
39 Dahmen, Wolfgang A.
39 Dyn, Nira
36 Conti, Costanza
36 Goodman, Timothy N. T.
36 Peña, Juan Manuel
31 Sauer, Tomas
29 Chui, Charles Kam-tai
28 Amat Plata, Sergio
27 Ron, Amos
25 Osipenko, Konstantin Yur’evich
25 Shen, Lixin
24 Romani, Lucia
23 Shen, Zuowei
23 Sun, Qiyu
23 Yoon, Jungho
22 Pinkus, Allan M.
22 Zhou, Dingxuan
21 Lee, Seng Luan
18 Levin, David N.
18 Li, Song
18 Zhang, Haizhang
17 Cao, Feilong
17 Charina, Maria
17 Chen, Zhongying
17 DeVore, Ronald A.
17 Han, Bin
17 Mhaskar, Hrushikesh N.
17 Ward, Joseph Dinneen
16 Manni, Carla
15 Avazzadeh, Zakieh
15 Buhmann, Martin Dietrich
15 Carnicer, Jésus Miguel
15 Chen, Dirong
15 de Boor, Carl
15 Mazure, Marie-Laurence
15 Nikan, Omid
15 Power, Henry
15 Spalević, Miodrag M.
14 Cohen, Albert
14 Floater, Michael S.
14 Kansa, Edward J.
14 Trillo, Juan Carlos
13 Hon, Yiu-Chung
13 Jetter, Kurt
13 Lyche, Tom
13 Prautzsch, Hartmut
13 Unser, Michael A.
12 Alonso, Pedro
12 Boyanov, Borislav Dechev
12 Haq, Sirajul
12 Long, Guangqing
12 Pitolli, Francesca
12 San Antolín, Angel
12 Sharma, Ambikeshwar
12 Sheng, Baohuai
12 Zhou, Xinlong
11 Barrera, Domingo
11 Cotronei, Mariantonia
11 De Villiers, Johan Marthinus
11 Goh, Say Song
11 Goldman, Ronald N.
11 Gori, Laura
11 Jiang, Qingtang
11 Lee, Yeon Ju
11 Liandrat, Jacques
11 Lu, Jian
11 Merrien, Jean-Louis
11 Milovanović, Gradimir V.
11 Nelakanti, Gnaneshwar
11 Petrova, Guergana
11 Protasov, Vladimir Yu.
11 Siraj-ul-Islam
11 Speleers, Hendrik
11 Tang, Yuchao
11 Vergne, Michèle
11 Wang, Rui
11 Wasilkowski, Grzegorz W.
10 Barton, Michael H.
10 Jiang, Ying
10 Pereverzev, Sergei V.
10 Wang, Renhong
10 Wu, Qiang
10 Wu, Zongmin
9 Beccari, Carolina Vittoria
9 Casciola, Giulio
9 Costarelli, Danilo
9 Dahlke, Stephan
9 Daubechies, Ingrid Chantal
9 Guillot, Dominique
9 Jena, Mahendra Kumar
9 Khare, Apoorva
9 Li, Xin
9 Luo, Xingjun
9 Magaril-Il’yaev, Gregoriĭ Geogrievich
9 Mathé, Peter
9 Plaskota, Leszek
9 Plonka, Gerlind
...and 3,718 more Authors
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Cited in 446 Serials

297 Journal of Approximation Theory
192 Journal of Computational and Applied Mathematics
125 Advances in Computational Mathematics
113 Computer Aided Geometric Design
111 Applied and Computational Harmonic Analysis
102 Applied Mathematics and Computation
93 Linear Algebra and its Applications
86 Computers & Mathematics with Applications
85 Constructive Approximation
79 Journal of Complexity
77 Journal of Mathematical Analysis and Applications
72 Engineering Analysis with Boundary Elements
60 Numerical Algorithms
59 Mathematics of Computation
44 Journal of Computational Physics
43 Applied Numerical Mathematics
39 Numerische Mathematik
38 Proceedings of the American Mathematical Society
36 Computer Methods in Applied Mechanics and Engineering
36 Transactions of the American Mathematical Society
33 Mathematical Notes
32 BIT
32 Numerical Functional Analysis and Optimization
32 International Journal of Wavelets, Multiresolution and Information Processing
31 Journal of Scientific Computing
29 Neural Networks
29 Machine Learning
28 International Journal of Computer Mathematics
28 The Journal of Fourier Analysis and Applications
26 Analysis and Applications (Singapore)
25 Mathematics and Computers in Simulation
25 Acta Mathematica Sinica. English Series
25 Journal of Machine Learning Research (JMLR)
23 Applied Mathematical Modelling
20 The Annals of Statistics
20 Journal of Integral Equations and Applications
18 Results in Mathematics
18 Neural Computation
17 Automatica
17 Calcolo
16 Applied Mathematics Letters
15 Mathematical Methods in the Applied Sciences
15 Mathematical Problems in Engineering
14 Applicable Analysis
14 Journal of Functional Analysis
14 Applied Mathematics. Series B (English Edition)
14 Journal of Inequalities and Applications
12 Siberian Mathematical Journal
11 Linear and Multilinear Algebra
11 Computing
11 Journal of Multivariate Analysis
11 Mathematische Nachrichten
11 SIAM Journal on Numerical Analysis
11 Abstract and Applied Analysis
11 Foundations of Computational Mathematics
11 Science China. Mathematics
10 Information Sciences
10 International Journal for Numerical Methods in Engineering
10 Mathematical and Computer Modelling
10 Computational and Applied Mathematics
10 Communications in Nonlinear Science and Numerical Simulation
9 Inverse Problems
9 Journal d’Analyse Mathématique
9 Ukrainian Mathematical Journal
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9 Numerical Methods for Partial Differential Equations
8 Analysis Mathematica
8 Mathematische Zeitschrift
8 Circuits, Systems, and Signal Processing
8 Science in China. Series A
8 Pattern Recognition
8 Computational Statistics and Data Analysis
8 SIAM Journal on Scientific Computing
8 Journal of Inverse and Ill-Posed Problems
8 Proceedings of the Steklov Institute of Mathematics
8 Electronic Journal of Statistics
7 Journal of the Franklin Institute
7 Journal of Mathematical Physics
7 Advances in Mathematics
7 Integral Equations and Operator Theory
7 Systems & Control Letters
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Journal of Theoretical Probability
7 SIAM Journal on Matrix Analysis and Applications
7 Aequationes Mathematicae
7 Mathematical Programming. Series A. Series B
7 S\(\vec{\text{e}}\)MA Journal
6 Israel Journal of Mathematics
6 Advances in Applied Mathematics
6 Acta Mathematicae Applicatae Sinica. English Series
6 Communications in Statistics. Theory and Methods
6 Computational Optimization and Applications
6 St. Petersburg Mathematical Journal
6 Mediterranean Journal of Mathematics
6 Journal of Fixed Point Theory and Applications
6 Inverse Problems and Imaging
6 International Journal of Applied and Computational Mathematics
5 Rocky Mountain Journal of Mathematics
5 Journal of Soviet Mathematics
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Cited in 60 Fields

1,650 Numerical analysis (65-XX)
1,297 Approximations and expansions (41-XX)
578 Harmonic analysis on Euclidean spaces (42-XX)
412 Computer science (68-XX)
244 Partial differential equations (35-XX)
243 Statistics (62-XX)
225 Functional analysis (46-XX)
217 Operator theory (47-XX)
199 Information and communication theory, circuits (94-XX)
182 Linear and multilinear algebra; matrix theory (15-XX)
145 Operations research, mathematical programming (90-XX)
114 Integral equations (45-XX)
90 Probability theory and stochastic processes (60-XX)
88 Fluid mechanics (76-XX)
77 Functions of a complex variable (30-XX)
72 Real functions (26-XX)
71 Systems theory; control (93-XX)
62 Combinatorics (05-XX)
55 Difference and functional equations (39-XX)
53 Biology and other natural sciences (92-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
46 Mechanics of deformable solids (74-XX)
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39 Convex and discrete geometry (52-XX)
37 Ordinary differential equations (34-XX)
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1 Category theory; homological algebra (18-XX)
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