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ORCIDCharles A. Micchelli
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- affiliation: University at Albany, SUNY, USA
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Journal Articles
- 2019
[j56]Dinh Dung
, Charles A. Micchelli, Vu Nhat Huy:
Approximation by translates of a single function of functions in space induced by the convolution with a given function. Appl. Math. Comput. 361: 777-787 (2019)- [j55]Patrick L. Combettes, Andrew M. McDonald, Charles A. Micchelli, Massimiliano Pontil:
Learning with optimal interpolation norms. Numer. Algorithms 81(2): 695-717 (2019) - 2016
- [j54]Yeon Ju Lee, Charles A. Micchelli, Jungho Yoon:
On multivariate discrete least squares. J. Approx. Theory 211: 78-84 (2016) - [j53]Dinh Dung, Charles A. Micchelli:
Corrigendum to "Multivariate approximation by translates of the Korobov function on Smolyak grids" [J. Complexity 29 (2013) 424-437]. J. Complex. 35: 124-125 (2016) - 2013
- [j52]Charles A. Micchelli, Lixin Shen, Yuesheng Xu, Xueying Zeng:
Proximity algorithms for the L1/TV image denoising model. Adv. Comput. Math. 38(2): 401-426 (2013) - [j51]Jianqiang Liu, Charles A. Micchelli, Rui Wang, Yuesheng Xu:
Finite rank kernels for multi-task learning. Adv. Comput. Math. 38(2): 427-439 (2013) - [j50]Charles A. Micchelli, Tao Zhao:
On discrete ℓ1-regularization. Adv. Comput. Math. 38(2): 441-454 (2013) - [j49]Charles A. Micchelli, Jean Morales, Massimiliano Pontil:
Regularizers for structured sparsity. Adv. Comput. Math. 38(3): 455-489 (2013) - [j48]Charles A. Micchelli, Jianzhong Wang, Yi Wang:
On an asymptotic analysis of polynomial approximation to halfband filters. Adv. Comput. Math. 38(3): 601-622 (2013) - [j47]Charles A. Micchelli, Yuesheng Xu, Bo Yu:
On computing with the Hilbert spline transform. Adv. Comput. Math. 38(3): 623-646 (2013) - [j46]Yeon Ju Lee, Charles A. Micchelli:
On collocation matrices for interpolation and approximation. J. Approx. Theory 174: 148-181 (2013) - [j45]Dinh Dung, Charles A. Micchelli:
Multivariate approximation by translates of the Korobov function on Smolyak grids. J. Complex. 29(6): 424-437 (2013) - 2010
- [j44]Qiuhui Chen, Charles A. Micchelli, Yi Wang:
Functions with spline Spectra and their Applications. Int. J. Wavelets Multiresolution Inf. Process. 8(2): 197-223 (2010) - [j43]Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil:
On Spectral Learning. J. Mach. Learn. Res. 11: 935-953 (2010) - 2009
- [j42]Charles A. Micchelli, Richard S. Varga:
Theodore J. Rivlin (1926-2006). J. Approx. Theory 161(1): 1-8 (2009) - [j41]Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang:
Optimal learning of bandlimited functions from localized sampling. J. Complex. 25(2): 85-114 (2009) - [j40]Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil:
When Is There a Representer Theorem? Vector Versus Matrix Regularizers. J. Mach. Learn. Res. 10: 2507-2529 (2009) - 2008
- [j39]Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang:
On translation invariant operators which preserve the B-spline recurrence. Adv. Comput. Math. 28(2): 157-169 (2008) - [j38]Andrea Caponnetto, Charles A. Micchelli, Massimiliano Pontil, Yiming Ying:
Universal Multi-Task Kernels. J. Mach. Learn. Res. 9: 1615-1646 (2008) - 2007
- [j37]Qiuhui Chen, Charles A. Micchelli, Yuesheng Xu:
On the matrix completion problem for multivariate filter bank construction. Adv. Comput. Math. 26(1-3): 173-204 (2007) - [j36]Charles A. Micchelli, Massimiliano Pontil:
Feature space perspectives for learning the kernel. Mach. Learn. 66(2-3): 297-319 (2007) - 2006
- [j35]Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang:
Universal Kernels. J. Mach. Learn. Res. 7: 2651-2667 (2006) - 2005
- [j34]Theodoros Evgeniou, Charles A. Micchelli, Massimiliano Pontil:
Learning Multiple Tasks with Kernel Methods. J. Mach. Learn. Res. 6: 615-637 (2005) - [j33]Charles A. Micchelli, Massimiliano Pontil:
Learning the Kernel Function via Regularization. J. Mach. Learn. Res. 6: 1099-1125 (2005) - [j32]Charles A. Micchelli, Massimiliano Pontil:
On Learning Vector-Valued Functions. Neural Comput. 17(1): 177-204 (2005) - 2003
- [j31]Qiuhui Chen, Charles A. Micchelli, Silong Peng, Yuesheng Xu:
Multivariate Filter Banks Having Matrix Factorizations. SIAM J. Matrix Anal. Appl. 25(2): 517-531 (2003) - 2002
- [j30]Zhongying Chen, Charles A. Micchelli, Yuesheng Xu:
Discrete Wavelet Petrov-Galerkin Methods. Adv. Comput. Math. 16(1): 1-28 (2002) - [j29]Zhongying Chen, Charles A. Micchelli, Yuesheng Xu:
Fast Collocation Methods for Second Kind Integral Equations. SIAM J. Numer. Anal. 40(1): 344-375 (2002) - 2001
- [j28]Geoff Boyd, Charles A. Micchelli, Gilbert Strang, Ding-Xuan Zhou:
Binomial Matrices. Adv. Comput. Math. 14(4): 379-391 (2001) - 2000
- [j27]Xin Li, Charles A. Micchelli:
Approximation by radial bases and neural networks. Numer. Algorithms 25(1-4): 241-262 (2000) - [j26]Tim N. T. Goodman, Charles A. Micchelli, Giuseppe Rodriguez, Sebastiano Seatzu:
On the Cholesky Factorization of the Gram Matrix of Multivariate Functions. SIAM J. Matrix Anal. Appl. 22(2): 501-526 (2000) - 1999
- [j25]Zhongying Chen, Charles A. Micchelli, Yuesheng Xu:
A construction of interpolating wavelets on invariant sets. Math. Comput. 68(228): 1569-1587 (1999) - 1997
- [j24]Zhongying Chen, Charles A. Micchelli, Yuesheng Xu:
The Petrov-Galerkin method for second kind integral equations II: multiwavelet schemes. Adv. Comput. Math. 7(3): 199-233 (1997) - [j23]Tim N. T. Goodman, Charles A. Micchelli, Giuseppe Rodriguez, Sebastiano Seatzu:
Spectral factorization of Laurent polynomials. Adv. Comput. Math. 7(4): 429-454 (1997) - [j22]Charles A. Micchelli, Tomas Sauer:
Regularity of multiwavelets. Adv. Comput. Math. 7(4): 455-545 (1997) - [j21]Charles A. Micchelli, Yuesheng Xu:
Reconstruction and Decomposition Algorithms for Biorthogonal Multiwavelets. Multidimens. Syst. Signal Process. 8(1-2): 31-69 (1997) - [j20]Wayne Lawton, Charles A. Micchelli:
Construction of conjugate quadrature filters with specified zeros. Numer. Algorithms 14(4): 383-399 (1997) - 1996
- [j19]Laura Gori, Charles A. Micchelli:
On weight functions which admit explicit Gauss-Turán quadrature formulas. Math. Comput. 65(216): 1567-1581 (1996) - 1994
- [j18]Hrushikesh Narhar Mhaskar, Charles A. Micchelli:
Dimension-independent bounds on the degree of approximation by neural networks. IBM J. Res. Dev. 38(3): 277-284 (1994) - [j17]Bradley John Charles Baxter, Charles A. Micchelli:
Norm estimates for thel2-inverses of multivariate Toeplitz matrices. Numer. Algorithms 6(1): 103-117 (1994) - 1993
- [j16]Wolfgang Dahmen, Charles A. Micchelli:
Continuous refinement equations and subdivision. Adv. Comput. Math. 1(1): 1-37 (1993) - [j15]Phillip J. Barry, Ronald N. Goldman, Charles A. Micchelli:
Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices. Adv. Comput. Math. 1(2): 139-171 (1993) - [j14]Charles A. Micchelli:
Optimal estimation of linear operators from inaccurate data: A second look. Numer. Algorithms 5(8): 375-390 (1993) - 1992
- [j13]Rong-Qing Jia, Charles A. Micchelli:
Using the refinement equation for the construction of pre-wavelets V: Extensibility of trigonometric polynomials. Computing 48(1): 61-72 (1992) - [j12]Mariano Gasca, Charles A. Micchelli, Juan Manuel Peña:
Almost strictly totally positive matrices. Numer. Algorithms 2(2): 225-236 (1992) - 1991
- [j11]Charles A. Micchelli:
Using the refinement equation for the construction of pre-wavelets. Numer. Algorithms 1(1): 75-116 (1991) - [j10]Charles A. Micchelli, Christophe Rabut, Florencio I. Utreras:
Using the refinement equation for the construction of pre-wavelets III: Elliptic splines. Numer. Algorithms 1(3): 331-351 (1991) - 1990
- [j9]Nira Dyn, David Levin, Charles A. Micchelli:
Using parameters to increase smoothness of curves and surfaces generated by subdivision. Comput. Aided Geom. Des. 7(1-4): 129-140 (1990) - 1987
- [j8]Hartmut Prautzsch, Charles A. Micchelli:
Computing curves invariant under halving. Comput. Aided Geom. Des. 4(1-2): 133-140 (1987) - [j7]Charles A. Micchelli, Hartmut Prautzsch:
Computing surfaces invariant under subdivision. Comput. Aided Geom. Des. 4(4): 321-328 (1987) - [j6]Charles A. Micchelli, Theodore J. Rivlin:
An optimal recovery view of Walsh's equiconvergence theorem. J. Complex. 3(3): 312-330 (1987) - 1986
- [j5]Wolfgang Dahmen, Charles A. Micchelli:
On the piecewise structure of discrete box splines. Comput. Aided Geom. Des. 3(3): 185-191 (1986) - 1985
- [j4]Wolfgang Dahmen, Charles A. Micchelli:
Line average algorithm: A method for the computer generation of smooth surfaces. Comput. Aided Geom. Des. 2(1-3): 77-85 (1985) - 1984
- [j3]Wolfgang Dahmen, Charles A. Micchelli:
Subdivision algorithms for the generation of box spline surfaces. Comput. Aided Geom. Des. 1(2): 115-129 (1984) - 1975
- [j2]Charles A. Micchelli, Willard L. Miranker:
High Order Search Methods for Finding Roots. J. ACM 22(1): 51-60 (1975) - 1974
- [j1]Charles A. Micchelli:
Characterization of Chebyshev approximation by weak Markoff systems. Computing 12(1): 1-8 (1974)
Conference and Workshop Papers
- 2013
- [c12]Andreas Argyriou, Luca Baldassarre, Charles A. Micchelli, Massimiliano Pontil:
On Sparsity Inducing Regularization Methods for Machine Learning. Empirical Inference 2013: 205-216 - 2010
- [c11]Peder A. Olsen, Vaibhava Goel, Charles A. Micchelli, John R. Hershey:
Modeling posterior probabilities using the linear exponential family. INTERSPEECH 2010: 2994-2997 - [c10]Charles A. Micchelli, Jean Morales, Massimiliano Pontil:
A Family of Penalty Functions for Structured Sparsity. NIPS 2010: 1612-1623 - 2007
- [c9]Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil, Yiming Ying:
A Spectral Regularization Framework for Multi-Task Structure Learning. NIPS 2007: 25-32 - 2006
- [c8]Andreas Argyriou, Raphael Hauser, Charles A. Micchelli, Massimiliano Pontil:
A DC-programming algorithm for kernel selection. ICML 2006: 41-48 - 2005
- [c7]Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil:
Learning Convex Combinations of Continuously Parameterized Basic Kernels. COLT 2005: 338-352 - 2004
- [c6]Charles A. Micchelli, Massimiliano Pontil:
A Function Representation for Learning in Banach Spaces. COLT 2004: 255-269 - [c5]Charles A. Micchelli, Massimiliano Pontil:
Kernels for Multi--task Learning. NIPS 2004: 921-928 - 2000
- [c4]Sankar Basu, Charles A. Micchelli, Peter Olsen:
Maximum entropy and maximum likelihood criteria for feature selection from multivariate data. ISCAS 2000: 267-270 - 1999
- [c3]Sankar Basu, Charles A. Micchelli, Peder A. Olsen:
Maximum likelihood estimates for exponential type density families. ICASSP 1999: 361-364 - 1997
- [c2]Wayne Lawton, Charles A. Micchelli:
Design of conjugate quadrature filters having specified zeros. ICASSP 1997: 2069-2072 - 1993
- [c1]Hrushikesh Narhar Mhaskar, Charles A. Micchelli:
How to Choose an Activation Function. NIPS 1993: 319-326
Parts in Books or Collections
- 1991
- [p2]Rong-Qing Jia, Charles A. Micchelli:
Using the Refinement Equations for the Construction of Pre-Wavelets II: Powers of Two. Curves and Surfaces 1991: 209-246 - 1987
- [p1]Wolfgang Dahmen, Charles A. Micchelli:
On the Theory and Application of exponential splines. Topics in Multivariate Approximation 1987: 37-46
Informal and Other Publications
- 2020
- [i4]Dinh Dung, Charles A. Micchelli, Vu Nhat Huy:
Approximation by linear combinations of translates of a single function. CoRR abs/2012.08086 (2020) - 2013
- [i3]Andreas Argyriou, Luca Baldassarre, Charles A. Micchelli, Massimiliano Pontil:
On Sparsity Inducing Regularization Methods for Machine Learning. CoRR abs/1303.6086 (2013) - 2011
- [i2]Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil, Lixin Shen, Yuesheng Xu:
Efficient First Order Methods for Linear Composite Regularizers. CoRR abs/1104.1436 (2011) - 2008
- [i1]Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil:
When is there a representer theorem? Vector versus matrix regularizers. CoRR abs/0809.1590 (2008)
Coauthor Index
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