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Micchelli, Charles A.

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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
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 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
1 Shen, Zuowei
1 Strang, William Gilbert
1 Suykens, Johan A. K.
...and 13 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 Cambridge Monographs on Applied and Computational Mathematics
1 Complex Analysis and Operator Theory

Publications by Year

Citations contained in zbMATH Open

241 Publications have been cited 4,502 times in 3,019 Documents Cited by Year
Interpolation of scattered data: distance matrices and conditionally positive definite functions. Zbl 0625.41005
Micchelli, Charles A.
407
1986
Stationary subdivision. Zbl 0741.41009
Cavaretta, Alfred S.; Dahmen, Wolfgang; Micchelli, Charles A.
292
1991
Using the refinement equations for the construction of prewavelets. II: Powers of two. Zbl 0777.41013
Jia, Rong-Qing; Micchelli, Charles A.
132
1991
Some new characterizations of the Chebyshev polynomials. Zbl 0291.33012
Micchelli, C. A.; Rivlin, T. J.
99
1974
Uniform refinement of curves. Zbl 0668.65011
Micchelli, Charles A.; Prautzsch, Hartmut
81
1989
Translates of multivariate splines. Zbl 0522.41009
Dahmen, Wolfgang; Micchelli, Charles A.
80
1983
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
79
2011
Universal kernels. Zbl 1222.68266
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
75
2006
Approximation by superposition of sigmoidal and radial basis functions. Zbl 0763.41015
Mhaskar, H. N.; Micchelli, Charles A.
74
1992
A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation. Zbl 0456.41003
Micchelli, Charles A.
70
1980
Learning the kernel function via regularization. Zbl 1222.68265
Micchelli, Charles A.; Pontil, Massimiliano
64
2005
A survey of optimal recovery. Zbl 0386.93045
Micchelli, C. A.; Rivlin, T. J.
64
1978
Using the refinement equation for evaluating integrals of wavelets. Zbl 0773.65006
Dahmen, Wolfgang; Micchelli, Charles A.
58
1993
On learning vector-valued functions. Zbl 1092.93045
Micchelli, Charles A.; Pontil, Massimiliano
54
2005
Fast collocation methods for second kind integral equations. Zbl 1016.65107
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
52
2002
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
51
1994
Polynomial preconditioners for conjugate gradient calculations. Zbl 0563.65020
Johnson, Olin G.; Micchelli, Charles A.; Paul, George
51
1983
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
50
1997
On linear independence for integer translates of a finite number of functions. Zbl 0790.41016
Jia, Rong-Qing; Micchelli, Charles A.
49
1993
On the local linear independence of translates of a box spline. Zbl 0545.41018
Dahmen, Wolfgang; Micchelli, Charles A.
49
1985
Degree of approximation by neural and translation networks with a single hidden layer. Zbl 0885.42012
Mhaskar, H. N.; Micchelli, Charles A.
49
1995
Optimal estimation of linear operators in Hilbert spaces from inaccurate data. Zbl 0399.65037
Melkman, Avraham A.; Micchelli, Charles A.
48
1979
Learning multiple tasks with kernel methods. Zbl 1222.68197
Evgeniou, Theodoros; Micchelli, Charles A.; Pontil, Massimiliano
47
2005
Spectral radius formulas for subdivision operators. Zbl 0840.42020
Goodman, T. N. T.; Micchelli, Charles A.; Ward, J. D.
46
1994
Optimal nonlinear approximation. Zbl 0682.41033
De Vore, Ronald A.; Howard, Ralph; Micchelli, Charles
44
1989
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
43
1997
The n-width of sets of analytic functions. Zbl 0451.30032
Fisher, S. D.; Micchelli, Charles A.
40
1980
Constrained \(L_ p\) approximation. Zbl 0582.41002
Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D.
38
1985
Recent progress in multivariate splines. Zbl 0559.41011
Dahmen, Wolfgang; Micchelli, Charles A.
38
1983
Reconstruction and decomposition algorithms for biorthogonal multiwavelets. Zbl 0872.42010
Micchelli, Charles A.; Xu, Yuesheng
38
1997
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
37
1997
Piecewise polynomial spaces and geometric continuity of curves. Zbl 0638.65010
Dyn, Nira; Micchelli, Charles A.
36
1988
Smoothing and interpolation in a convex subset of a Hilbert space. Zbl 0651.65046
Micchelli, Charles A.; Utreras, Florencio I.
36
1988
A multilevel method for solving operator equations. Zbl 0990.65059
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
36
2001
Wavelet Galerkin methods for second-kind integral equations. Zbl 0913.65129
Micchelli, Charles A.; Xu, Yuesheng; Zhao, Yunhe
36
1997
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.
35
1985
On vector subdivision. Zbl 0930.65007
Micchelli, Charles A.; Sauer, Thomas
35
1998
The optimal recovery of smooth functions. Zbl 0335.65004
Micchelli, C. A.; Rivlin, T. J.; Winograd, S.
35
1976
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
34
1977
A construction of interpolating wavelets on invariant sets. Zbl 1051.65009
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
33
1999
Universal multi-task kernels. Zbl 1225.68155
Caponnetto, Andrea; Micchelli, Charles A.; Pontil, Massimiliano; Ying, Yiming
33
2008
Interpolatory subdivision schemes and wavelets. Zbl 0883.42024
Micchelli, Charles A.
32
1996
Lectures on optimal recovery. Zbl 0698.41024
Micchelli, C. A.; Rivlin, T. J.
32
1984
Using the refinement equation for the construction of pre-wavelets. Zbl 0759.65005
Micchelli, Charles A.
31
1991
Compactly supported fundamental functions for spline interpolation. Zbl 0646.65012
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
31
1988
The saturation class and iterates of the Bernstein polynomials. Zbl 0258.41012
Micchelli, Charles
29
1973
Blossoming begets \(B\)-spline bases built better by \(B\)-patches. Zbl 0757.41014
Dahmen, Wolfgang; Micchelli, Charles A.; Seidel, Hans-Peter
28
1992
On multivariate E-splines. Zbl 0706.41010
Dahmen, Wolfgang; Micchelli, Charles A.
28
1989
The number of solutions to linear diophantine equations and multivariate splines. Zbl 0655.10013
Dahmen, Wolfgang; Micchelli, Charles A.
28
1988
Proximity algorithms for the L1/TV image denoising model. Zbl 1275.65014
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying
28
2013
Some problems in the approximation of functions of two variables and n- widths of integral operators. Zbl 0396.41014
Micchelli, Charles A.; Pinkus, Allan
28
1978
Convexity of multivariate Bernstein polynomials and box spline surfaces. Zbl 0689.41013
Dahmen, Wolfgang; Micchelli, Charles A.
27
1988
Subdivision algorithms for the generation of box spline surfaces. Zbl 0581.65011
Dahmen, Wolfgang; Micchelli, Charles A.
27
1984
Spectral fractorization of Laurent polynomials. Zbl 0886.65013
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
25
1997
The fundamental theorem of algebra for monosplines satisfying boundary conditions. Zbl 0294.41016
Karlin, Samuel; Micchelli, Charles
25
1972
Mathematical aspects of geometric modeling. Zbl 0864.65008
Micchelli, Charles A.
25
1995
Discrete wavelet Petrov–Galerkin methods. Zbl 0998.65120
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
25
2002
Almost strictly totally positive matrices. Zbl 0752.15016
Gasca, M.; Micchelli, Charles A.; Peña, J. M.
23
1992
On refinement equations determined by Pólya frequency sequences. Zbl 0761.42015
Goodman, T. N. T.; Micchelli, Charles A.
23
1992
Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines. Zbl 0339.41022
Micchelli, Charles A.
23
1977
Turan formulae and highest precision quadrature rules for Chebyshev coefficients. Zbl 0288.65013
Micchelli, C. A.; Rivlin, T. J.
22
1972
Multivariate splines: a probabilistic perspective. Zbl 0623.41014
Karlin, S.; Micchelli, C. A.; Rinott, Y.
22
1986
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
Multiscale methods for Fredholm integral equations. Zbl 1332.65188
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
22
2015
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
Multiquadratic interpolation improved. Zbl 0764.41001
Buhmann, Martin D.; Micchelli, Charles A.
20
1992
On the linear independence of multivariate B-splines. I. Triangulations of simploids. Zbl 0498.41004
Dahmen, Wolfgang A.; Micchelli, Charles A.
20
1982
Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26–30, 1994. Zbl 0884.00045
20
1996
Nonlinear stationary subdivision. Zbl 0902.41001
Floater, Michael S.; Micchelli, Charles A.
20
1998
Optimal sequential and non-sequential procedures for evaluating a functional. Zbl 0445.65010
Gal, Shmuel; Micchelli, Charles A.
18
1980
A function representation for learning in Banach spaces. Zbl 1078.68129
Micchelli, Charles A.; Pontil, Massimiliano
18
2004
On functions which preserve the class of Stieltjes matrices. Zbl 0405.15011
Micchelli, Charles A.; Willoughby, R. A.
18
1979
On a numerically efficient method for computing multivariate B-splines. Zbl 0422.41008
Micchelli, Charles A.
18
1979
Studies in spline functions and approximation theory. Zbl 0323.00007
Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J.
18
1976
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
18
2012
On spectral learning. Zbl 1242.68201
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
17
2010
Spline spaces are optimal for \(L^2\) n-width. Zbl 0384.41005
Melkman, Avraham A.; Micchelli, Charles A.
17
1978
Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces. Zbl 0784.15005
Dahmen, Wolfgang; Micchelli, Charles A.
16
1993
Quadrature formulae and Hermite-Birkhoff interpolation. Zbl 0259.41016
Micchelli, C. A.; Rivlin, T. J.
16
1973
Weak convergence of the area of nonparametric L//1 surfaces. Zbl 0412.41018
Micchelli, Ch. A.; Pinkus, A.
16
1977
On weight functions which admit explicit Gauss-Turán quadrature formulas. Zbl 0853.65027
Gori, Laura; Micchelli, Charles A.
15
1996
Using parameters to increase smoothness of curves and surfaces generated by subdivision. Zbl 0711.65007
Dyn, Nira; Levin, David; Micchelli, Charles A.
15
1990
Admissible slopes for monotone and convex interpolation. Zbl 0624.41001
Edelman, Alan; Micchelli, Charles A.
15
1987
Corner cutting algorithms for the Bézier representation of free form curves. Zbl 0652.41003
Goodman, T. N. T.; Micchelli, Charles A.
15
1988
When is there a representer theorem? Vector versus matrix regularizers. Zbl 1235.68128
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
15
2009
Using the refinement equation for the construction of pre-wavelets. III: Elliptic splines. Zbl 0765.65024
Micchelli, Charles A.; Rabut, Christophe; Utreras, Florencio I.
14
1991
Chebyshev subspaces and convergence of positive linear operators. Zbl 0268.41008
Micchelli, C. A.
14
1973
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
14
1994
Continuous refinement equations and subdivision. Zbl 0824.65144
Dahmen, Wolfgang; Micchelli, Charles A.
14
1993
Numerical integration rules near Gaussian quadrature. Zbl 0287.65014
Micchelli, C. A.; Rivlin, T. J.
13
1974
Convergence of positive linear operators on C(X). Zbl 0294.41032
Micchelli, C. A.
13
1975
Statistical encounters with B-splines. Zbl 0615.62021
Dahmen, Wolfgang; Micchelli, Charles A.
13
1986
Uncertainty principles in Hilbert spaces. Zbl 1027.47028
Goh, Say Song; Micchelli, Charles A.
13
2002
Approximation by radial bases and neural networks. Zbl 0976.65014
Li, Xin; Micchelli, Charles A.
13
2000
Some remarks on ridge functions. Zbl 0645.41004
Dahmen, Wolfgang; Micchelli, Charles A.
12
1987
Multivariate interpolation and the Radon transform. Zbl 0425.46054
Cavaretta, Alfred S. jun.; Micchelli, Charles A.; Sharma, Ambikeshwar
12
1980
Error bounds for learning the kernel. Zbl 1392.68357
Micchelli, Charles A.; Pontil, Massimiliano; Wu, Qiang; Zhou, Ding-Xuan
12
2016
Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
12
2009
Functions that preserve families of positive semidefinite matrices. Zbl 0852.43004
FitzGerald, Carl H.; Micchelli, Charles A.; Pinkus, Allan
12
1995
Fixed-point proximity algorithm for minimal norm interpolation. Zbl 1440.15015
Li, Zheng; Micchelli, Charles A.; Xu, Yuesheng
1
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
12
2016
Corrigendum to “Multivariate approximation by translates of the Korobov function on Smolyak grids”. Zbl 1382.42005
Dũng, Dinh; Micchelli, Charles A.
1
2016
Multiscale methods for Fredholm integral equations. Zbl 1332.65188
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
22
2015
A study on multivariate interpolation by increasingly flat kernel functions. Zbl 1331.41003
Lee, Yeon Ju; Micchelli, Charles A.; Yoon, Jungho
4
2015
On convergence of flat multivariate interpolation by translation kernels with finite smoothness. Zbl 1308.41001
Lee, Yeon Ju; Micchelli, Charles A.; Yoon, Jungho
8
2014
Proximity algorithms for the L1/TV image denoising model. Zbl 1275.65014
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying
28
2013
Regularizers for structured sparsity. Zbl 1297.62153
Micchelli, Charles A.; Morales, Jean M.; Pontil, Massimiliano
8
2013
Multivariate approximation by translates of the Korobov function on Smolyak grids. Zbl 1305.42006
Dũng, Dinh; 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 computing with the Hilbert spline transform. Zbl 1268.41005
Micchelli, Charles A.; Xu, Yuesheng; Yu, Bo
2
2013
On collocation matrices for interpolation and approximation. Zbl 1282.41002
Lee, Yeon Ju; Micchelli, Charles A.
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
18
2012
The Bedrosian identity for functions analytic in a neighborhood of the unit circle. Zbl 1276.42008
Chen, Qiuhui; Micchelli, Charles A.
4
2012
Proximity algorithms for image models: denoising. Zbl 1216.94015
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng
79
2011
On spectral learning. Zbl 1242.68201
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
17
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
15
2009
Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
12
2009
Universal multi-task kernels. Zbl 1225.68155
Caponnetto, Andrea; Micchelli, Charles A.; Pontil, Massimiliano; Ying, Yiming
33
2008
On translation invariant operators which preserve the B-spline recurrence. Zbl 1283.41010
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
1
2008
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
Feature space perspectives for learning the kernel. Zbl 1470.68148
Micchelli, Charles A.; Pontil, Massimiliano
2
2007
Universal kernels. Zbl 1222.68266
Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang
75
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
64
2005
On learning vector-valued functions. Zbl 1092.93045
Micchelli, Charles A.; Pontil, Massimiliano
54
2005
Learning multiple tasks with kernel methods. Zbl 1222.68197
Evgeniou, Theodoros; Micchelli, Charles A.; Pontil, Massimiliano
47
2005
Learning convex combinations of continuously parameterized basic kernels. Zbl 1137.68517
Argyriou, Andreas; Micchelli, Charles A.; Pontil, Massimiliano
9
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
18
2004
Multivariate filter banks having matrix factorizations. Zbl 1043.42026
Chen, Qiuhui; Micchelli, Charles A.; Peng, Silong; Xu, Yuesheng
6
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
Selected papers of Alan J. Hoffman. With commentary. Edited by Charles A. Micchelli. Zbl 1041.01013
Hoffman, Alan J.
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
52
2002
Discrete wavelet Petrov–Galerkin methods. Zbl 0998.65120
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
25
2002
Uncertainty principles in Hilbert spaces. Zbl 1027.47028
Goh, Say Song; Micchelli, Charles A.
13
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
36
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
8
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.
2
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
33
1999
On vector subdivision. Zbl 0930.65007
Micchelli, Charles A.; Sauer, Thomas
35
1998
Nonlinear stationary subdivision. Zbl 0902.41001
Floater, Michael S.; Micchelli, Charles A.
20
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
4
1998
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
50
1997
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
43
1997
Reconstruction and decomposition algorithms for biorthogonal multiwavelets. Zbl 0872.42010
Micchelli, Charles A.; Xu, Yuesheng
38
1997
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
37
1997
Wavelet Galerkin methods for second-kind integral equations. Zbl 0913.65129
Micchelli, Charles A.; Xu, Yuesheng; Zhao, Yunhe
36
1997
Spectral fractorization of Laurent polynomials. Zbl 0886.65013
Goodman, Tim N. T.; Micchelli, Charles A.; Rodriguez, Giuseppe; Seatzu, Sebastiano
25
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
On a measure of dissimilarity for normal probability densities. Zbl 1090.62541
Micchelli, Charles A.
1
1997
Asymptotically optimal approximation and numerical solutions of differential equations. Zbl 1031.65024
Buhmann, Martin D.; Micchelli, Charles A.; Ron, Amos
1
1997
Interpolatory subdivision schemes and wavelets. Zbl 0883.42024
Micchelli, Charles A.
32
1996
Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26–30, 1994. Zbl 0884.00045
20
1996
On weight functions which admit explicit Gauss-Turán quadrature formulas. Zbl 0853.65027
Gori, Laura; Micchelli, Charles A.
15
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.
49
1995
Mathematical aspects of geometric modeling. Zbl 0864.65008
Micchelli, Charles A.
25
1995
Functions that preserve families of positive semidefinite matrices. Zbl 0852.43004
FitzGerald, Carl H.; Micchelli, Charles A.; Pinkus, Allan
12
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.
6
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
51
1994
Spectral radius formulas for subdivision operators. Zbl 0840.42020
Goodman, T. N. T.; Micchelli, Charles A.; Ward, J. D.
46
1994
Dimension-independent bounds on the degree of approximation by neural networks. Zbl 0823.41012
Mhaskar, H. N.; Micchelli, C. A.
14
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
1
1994
Using the refinement equation for evaluating integrals of wavelets. Zbl 0773.65006
Dahmen, Wolfgang; Micchelli, Charles A.
58
1993
On linear independence for integer translates of a finite number of functions. Zbl 0790.41016
Jia, Rong-Qing; Micchelli, Charles A.
49
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
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
Optimal estimation of linear operators from inaccurate data: A second look. Zbl 0794.65052
Micchelli, Charles A.
4
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.
74
1992
Blossoming begets \(B\)-spline bases built better by \(B\)-patches. Zbl 0757.41014
Dahmen, Wolfgang; Micchelli, Charles A.; Seidel, Hans-Peter
28
1992
Almost strictly totally positive matrices. Zbl 0752.15016
Gasca, M.; Micchelli, Charles A.; Peña, J. M.
23
1992
On refinement equations determined by Pólya frequency sequences. Zbl 0761.42015
Goodman, T. N. T.; Micchelli, Charles A.
23
1992
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
...and 141 more Documents
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Cited by 3,222 Authors

92 Micchelli, Charles A.
53 Xu, Yuesheng
41 Jia, Rong-Qing
37 Dahmen, Wolfgang A.
36 Dyn, Nira
32 Goodman, Timothy N. T.
30 Sauer, Tomas
29 Chui, Charles Kam-tai
29 Conti, Costanza
27 Peña, Juan Manuel
26 Ron, Amos
23 Sun, Qiyu
23 Yoon, Jungho
22 Amat, Sergio P.
22 Pinkus, Allan M.
22 Shen, Lixin
20 Osipenko, Konstantin Yur’evich
20 Romani, Lucia
20 Zhou, Dingxuan
19 Shen, Zuowei
18 Li, Song
17 Chen, Zhongying
17 Ward, Joseph Dinneen
16 Charina, Maria
16 Zhang, Haizhang
15 Buhmann, Martin Dietrich
15 Cao, Feilong
15 Carnicer, Jésus Miguel
15 de Boor, Carl
15 Mazure, Marie-Laurence
15 Protasov, Vladimir Yu.
14 Chen, Dirong
14 Han, Bin
14 Mhaskar, Hrushikesh N.
14 Power, Henry
14 Spalević, Miodrag M.
13 DeVore, Ronald A.
13 Kansa, Edward J.
12 Boyanov, Borislav Dechev
12 Floater, Michael S.
12 Haq, Sirajul
12 Long, Guangqing
12 Manni, Carla
12 Prautzsch, Hartmut
12 Sharma, Ambikeshwar
12 Sheng, Baohuai
12 Wu, Zongmin
12 Zhou, Xinlong
11 Cohen, Albert
11 Goh, Say Song
11 Hon, Yiu-Chung
11 Jetter, Kurt
11 Jiang, Qingtang
11 Lee, Yeon Ju
11 Lu, Jian
11 Milovanović, Gradimir V.
11 Nelakanti, Gnaneshwar
11 Vergne, Michèle
11 Wasilkowski, Grzegorz W.
10 Cotronei, Mariantonia
10 De Villiers, Johan Marthinus
10 Goldman, Ronald N.
10 Liandrat, Jacques
10 San Antolín, Angel
10 Trillo, Juan Carlos
9 Barrera, Domingo
9 Costarelli, Danilo
9 Dahlke, Stephan
9 Daubechies, Ingrid Chantal
9 Gori, Laura
9 Jiang, Ying
9 Li, Xin
9 Lyche, Tom
9 Merrien, Jean-Louis
9 Pereverzev, Sergei V.
9 Plaskota, Leszek
9 Plonka, Gerlind
9 Schaback, Robert
9 Wang, Renhong
9 Woźniakowski, Henryk
9 Yang, Hongqi
8 Barton, Michael H.
8 Beccari, Carolina Vittoria
8 Casciola, Giulio
8 Chen, Jian
8 Chen, Qiuhui
8 Fornberg, Bengt
8 Guillot, Dominique
8 Khare, Apoorva
8 Lai, Mingjun
8 Magaril-Il’yaev, Gregoriĭ Geogrievich
8 Maleknejad, Khosrow
8 Mathé, Peter
8 Menegatto, Valdir Antonio
8 Novak, Erich
8 Oswald, Peter
8 Parfënov, O. G.
8 Pitolli, Francesca
8 Rivlin, Theodore Joseph
8 Sablonnière, Paul
...and 3,122 more Authors
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Cited in 394 Serials

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

1,401 Numerical analysis (65-XX)
1,135 Approximations and expansions (41-XX)
511 Harmonic analysis on Euclidean spaces (42-XX)
332 Computer science (68-XX)
196 Partial differential equations (35-XX)
192 Statistics (62-XX)
188 Functional analysis (46-XX)
183 Operator theory (47-XX)
161 Information and communication theory, circuits (94-XX)
140 Linear and multilinear algebra; matrix theory (15-XX)
116 Operations research, mathematical programming (90-XX)
103 Integral equations (45-XX)
74 Probability theory and stochastic processes (60-XX)
74 Fluid mechanics (76-XX)
60 Functions of a complex variable (30-XX)
56 Real functions (26-XX)
56 Systems theory; control (93-XX)
51 Combinatorics (05-XX)
51 Difference and functional equations (39-XX)
42 Biology and other natural sciences (92-XX)
39 Mechanics of deformable solids (74-XX)
36 Special functions (33-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
33 Number theory (11-XX)
32 Ordinary differential equations (34-XX)
31 Convex and discrete geometry (52-XX)
24 Abstract harmonic analysis (43-XX)
23 Measure and integration (28-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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16 Commutative algebra (13-XX)
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12 Global analysis, analysis on manifolds (58-XX)
8 Group theory and generalizations (20-XX)
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2 Mathematical logic and foundations (03-XX)
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