Prof. Dingxuan Zhou
City
University of Hong Kong, China
Email: mazhou@cityu.edu.hk
Qualifications
1991 Ph.D., Zhejiang University, China
1988 B.Sc., Zhejiang University, China
Publications
(selected)
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Ding-Xuan
Zhou, On a conjecture of Z. Ditzian, J. Approx. Theory 69(1992), 167-172.
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Ding-Xuan
Zhou, On a paper of Mazhar and Totik, J. Approx. Theory 72(1993),290-300.
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Ding-Xuan
Zhou, Weighted approximation by Szasz-Mirakjan operators, J. Approx.Theory 76(1994),
393-402.
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Kurt
Jetter and Ding-Xuan Zhou, Order of linear approximation in shift-invariant
spaces, Constr. Approx. 11(1995), 423-438.
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Ding-Xuan
Zhou, Refinable functions, multiresolution analysis and Haar bases, SIAM J.
Math. Anal. 27(1996), 891-904.
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R.
Q. Jia, S. D. Riemenschneider and Ding-Xuan Zhou, Approximation by multiple
refinable functions, Canadian J. Math. 49 (1997), 944-962.
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R.
Q. Jia, S. D. Riemenschneider and Ding-Xuan Zhou, Vector subdivision schemes
and multiple wavelets, Math. Comp. 67 (1998), 1533-1563.
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Gilbert
Strang and Ding-Xuan Zhou, Inhomogeneous refinement equations, J. Fourier Anal.
Appl. 4 (1998), 733-747.
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R.
Q. Jia, S. D. Riemenschneider and Ding-Xuan Zhou, Smoothness of multiple
refinable functions and multiple wavelets, SIAM J. Matrix Anal. Appl. 21
(1999), 1-28.
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T.
N. T. Goodman, R. Q. Jia and Ding-Xuan Zhou, Local linear independence of
refinable vectors of functions, Proc. Royal Soc. Edinburgh 130A (2000),
813-826.
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Ding-Xuan
Zhou, Multiple refinable Hermite interpolants, J. Approx. Theory 102 (2000), 46-71.
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Gilbert
Strang and Ding-Xuan Zhou, The limits of refinable functions, Trans. Amer.
Math. Soc. 353 (2001), 1971-1984.
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Ding-Xuan
Zhou, Self-similar lattice tilings and subdivision schemes, SIAM J. Math. Anal.
33 (2001), 1-15.
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Ding-Xuan
Zhou, Norms concerning subdivision sequences and their applications in
wavelets, Appl. Comput. Harmonic Anal. 11 (2001), 329-346.
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Ding-Xuan
Zhou, Interpolatory orthogonal multiwavelets and refinable functions, IEEE
Trans. Signal Processing 50 (2002), 520–527. (Regular paper)
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Ding-Xuan
Zhou, The covering number in learning theory, J. Complexity 18 (2002), 739–767.
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S.
Smale and Ding-Xuan Zhou, Estimating the approximation error in learning
theory, Anal. Appl. 1 (2003), 17-41.
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Ding-Xuan
Zhou, Capacity of reproducing kernel spaces in learning theory, IEEE Trans.
Inform. Theory 49 (2003), 1743–1752. (Regular paper)
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C.
A. Micchelli and Ding-Xuan Zhou, Refinable functions: positivity and
interpolation, Anal. Appl. 1 (2003), 243–264.
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S. Smale
and Ding-Xuan Zhou, Shannon sampling and function reconstruction from point
values, Bull. Amer. Math. Soc. 41 (2004), 279–305.
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F.
Cucker, S. Smale, and Ding-Xuan Zhou, Modelling language evolution, Found.
Comput. Math. 4 (2004), 315–343.
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Ding-Rong
Chen, Qiang Wu, Yiming Ying, and Ding-Xuan Zhou, Support vector machine soft
margin classifiers: error analysis, J. Machine Learning Research 5 (2004),
1143–1175.
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Qiang
Wu and Ding-Xuan Zhou, SVM soft margin classifiers: linear programming versus
quadratic programming, Neural Computation 17 (2005), 1160–1187.
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Ding-Xuan
Zhou and Kurt Jetter, Approximation with polynomial kernels and SVM
classifiers, Adv. Comput. Math. 25 (2006), 323–344.
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S.
Mukherjee and Ding-Xuan Zhou, Learning coordinate covariances via gradients, J.
Machine Learning Research 7 (2006), 519–549.
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Y.
Ying and Ding-Xuan Zhou, Online regularized classification algorithms, IEEE
Trans. Inform. Theory 52 (2006), 4775–4788. (Regular paper)
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S.
Smale and Ding-Xuan Zhou, Learning theory estimates via integral operators and
their approximations, Constr. Approx. 26 (2007), 153–172.
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Q.
Wu, Y. Ying, and Ding-Xuan Zhou, Multi-kernel regularized classifiers, J.
Complexity 23 (2007), 108–134.
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Y.
Ying and Ding-Xuan Zhou, Learnability of Gaussians with flexible variances, J.
Machine Learning Research 8 (2007), 249–276.
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Z.
W. Pan, D. H. Xiang, Q. W. Xiao, and Ding-Xuan Zhou, Parzen windows for
multi-class classification, J. Complexity 24 (2008), 606–618.
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T.
Hu and Ding-Xuan Zhou, Online classification with samples drawn from
nonidentical distributions, J. Machine Learning Research 10 (2009),
2873–2898.
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D.
H. Xiang and Ding-Xuan Zhou, Classification with Gaussians and convex loss, J.
Machine Learning Research 10 (2009), 1447–1468.
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S.
Smale and Ding-Xuan Zhou, Online learning with Markov sampling, Anal. Appl. 7 (2009),
87–113.
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S.
Smale and Ding-Xuan Zhou, Geometry on probability spaces, Constr. Approx. 30 (2009),
311–323.
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S.
Mukherjee, Q. Wu and D. X. Zhou, Gradient learning and feature selection on
manifolds, Bernoulli 16 (2010), 181–207.
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C.
Wang and D. X. Zhou, Optimal learning rates for least square regularized
regression with unbounded sampling, J. Complexity 27 (2011), 55–67.
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L.
Shi and D. X. Zhou, Normal estimation on manifolds by gradient learning,
Numerical Linear Algebra with Applications 18 (2011), 249-259.
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L.
Shi, Y. L. Feng, and Ding-Xuan Zhou, Concentration estimates for learning with 1-regularizer
and data dependent hypothesis spaces, Appl. Comput. Harmonic Anal. 31 (2011),
286–302.
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X.
Guo and Ding-Xuan Zhou, An empirical feature-based learning algorithm producing
sparse approximations, Appl. Comput. Harmonic Anal., to appear.
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Ding-Xuan
Zhou (editor), Wavelet Analysis: Twenty Years’ Developments, World Scientific
Press, 2002.
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F.
Cucker and Ding-Xuan Zhou, Learning Theory: An Approximation Theory Viewpoint,
Cambridge University Press, 2007.
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