Prof. Dingxuan Zhou

City University of Hong Kong, China



1991  Ph.D., Zhejiang University, China

1988  B.Sc., Zhejiang University, China

Publications (selected)

  1. Ding-Xuan Zhou, On a conjecture of Z. Ditzian, J. Approx. Theory 69(1992), 167-172.
  2. Ding-Xuan Zhou, On a paper of Mazhar and Totik, J. Approx. Theory 72(1993),290-300.
  3. Ding-Xuan Zhou, Weighted approximation by Szasz-Mirakjan operators, J. Approx.Theory 76(1994), 393-402.
  4. Kurt Jetter and Ding-Xuan Zhou, Order of linear approximation in shift-invariant spaces, Constr. Approx. 11(1995), 423-438.
  5. Ding-Xuan Zhou, Refinable functions, multiresolution analysis and Haar bases, SIAM J. Math. Anal. 27(1996), 891-904.
  6. R. Q. Jia, S. D. Riemenschneider and Ding-Xuan Zhou, Approximation by multiple refinable functions, Canadian J. Math. 49 (1997), 944-962.
  7. R. Q. Jia, S. D. Riemenschneider and Ding-Xuan Zhou, Vector subdivision schemes and multiple wavelets, Math. Comp. 67 (1998), 1533-1563.
  8. Gilbert Strang and Ding-Xuan Zhou, Inhomogeneous refinement equations, J. Fourier Anal. Appl. 4 (1998), 733-747.
  9. 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.
  10. 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.
  11. Ding-Xuan Zhou, Multiple refinable Hermite interpolants, J. Approx. Theory 102 (2000), 46-71.
  12. Gilbert Strang and Ding-Xuan Zhou, The limits of refinable functions, Trans. Amer. Math. Soc. 353 (2001), 1971-1984.
  13. Ding-Xuan Zhou, Self-similar lattice tilings and subdivision schemes, SIAM J. Math. Anal. 33 (2001), 1-15.
  14. Ding-Xuan Zhou, Norms concerning subdivision sequences and their applications in wavelets, Appl. Comput. Harmonic Anal. 11 (2001), 329-346.
  15. Ding-Xuan Zhou, Interpolatory orthogonal multiwavelets and refinable functions, IEEE Trans. Signal Processing 50 (2002), 520–527. (Regular paper)
  16. Ding-Xuan Zhou, The covering number in learning theory, J. Complexity 18 (2002), 739–767.
  17. S. Smale and Ding-Xuan Zhou, Estimating the approximation error in learning theory, Anal. Appl. 1 (2003), 17-41.
  18. Ding-Xuan Zhou, Capacity of reproducing kernel spaces in learning theory, IEEE Trans. Inform. Theory 49 (2003), 1743–1752. (Regular paper)
  19. C. A. Micchelli and Ding-Xuan Zhou, Refinable functions: positivity and interpolation, Anal. Appl. 1 (2003), 243–264.
  20. S. Smale and Ding-Xuan Zhou, Shannon sampling and function reconstruction from point values, Bull. Amer. Math. Soc. 41 (2004), 279–305.
  21. F. Cucker, S. Smale, and Ding-Xuan Zhou, Modelling language evolution, Found. Comput. Math. 4 (2004), 315–343.
  22. 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.
  23. Qiang Wu and Ding-Xuan Zhou, SVM soft margin classifiers: linear programming versus quadratic programming, Neural Computation 17 (2005), 1160–1187.
  24. Ding-Xuan Zhou and Kurt Jetter, Approximation with polynomial kernels and SVM classifiers, Adv. Comput. Math. 25 (2006), 323–344.
  25. S. Mukherjee and Ding-Xuan Zhou, Learning coordinate covariances via gradients, J. Machine Learning Research 7 (2006), 519–549.
  26. Y. Ying and Ding-Xuan Zhou, Online regularized classification algorithms, IEEE Trans. Inform. Theory 52 (2006), 4775–4788. (Regular paper)
  27. S. Smale and Ding-Xuan Zhou, Learning theory estimates via integral operators and their approximations, Constr. Approx. 26 (2007), 153–172.
  28. Q. Wu, Y. Ying, and Ding-Xuan Zhou, Multi-kernel regularized classifiers, J. Complexity 23 (2007), 108–134.
  29. Y. Ying and Ding-Xuan Zhou, Learnability of Gaussians with flexible variances, J. Machine Learning Research 8 (2007), 249–276.
  30. 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.
  31. T. Hu and Ding-Xuan Zhou, Online classification with samples drawn from nonidentical distributions, J. Machine Learning Research 10 (2009), 2873–2898.
  32. D. H. Xiang and Ding-Xuan Zhou, Classification with Gaussians and convex loss, J. Machine Learning Research 10 (2009), 1447–1468.
  33. S. Smale and Ding-Xuan Zhou, Online learning with Markov sampling, Anal. Appl. 7 (2009), 87–113.
  34. S. Smale and Ding-Xuan Zhou, Geometry on probability spaces, Constr. Approx. 30 (2009), 311–323.
  35. S. Mukherjee, Q. Wu and D. X. Zhou, Gradient learning and feature selection on manifolds, Bernoulli 16 (2010), 181–207.
  36. C. Wang and D. X. Zhou, Optimal learning rates for least square regularized regression with unbounded sampling, J. Complexity 27 (2011), 55–67.
  37. L. Shi and D. X. Zhou, Normal estimation on manifolds by gradient learning, Numerical Linear Algebra with Applications 18 (2011), 249-259.
  38. 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.
  39. X. Guo and Ding-Xuan Zhou, An empirical feature-based learning algorithm producing sparse approximations, Appl. Comput. Harmonic Anal., to appear.
  40. Ding-Xuan Zhou (editor), Wavelet Analysis: Twenty Years’ Developments, World Scientific Press, 2002.
  41. F. Cucker and Ding-Xuan Zhou, Learning Theory: An Approximation Theory Viewpoint, Cambridge University Press, 2007.

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