M.S. Jilin University, Changchun, P.R. China, 1983
PROFESSIONAL EXPERIENCES
Associate Professor, Department of Mathematical Scineces,
University of Nevada, Las Vegas, 1998 - present
Assistant Professor, Department of Mathematical Scineces,
University of Nevada, Las Vegas, 1992 - 1998.
Research Associate, Department of Mathematics and Departmnet of
Aerospace Engineering, University of
Texas A&M University, 1991 - 1992.
Assistant Lecturer, Department of Mathematics, Texas
A&M University, 1990-1991.
RESEARCH INTERESTS
My research interests lie in approximation by radial basis functions
and neural networks, and in applied analysis and systems theory.
TEACHING (Spring 2000)
Office Hours
SELECTED PUBLICATIONS
Approximation by radial bases and neural networks, (with C.A. Micchelli),
Numerical Algorithms, to appear.
A simple remark on the order of approximation by compactly
supported radial basis functions and related networks, in Boundary
Element Technology XIII, C.S. Chen, C.A. Brebbia, and D.W. Pepper, eds,
WIT Press, 1999, 335-343.
On simultaneous approximations by radial basis function
neural networks", Applied Mathematics and Computation,
95 (1998), 75-89.
Simultaneous approximation of multivariate functions and their
derivatives by neural networks with one hidden layer,
International Journal of Neurocomputing, 12 (1996), 327-343.
L_1 approximation of a certain class of infinite dimensional
systems in time-domain, IEEE Transactions on Circuits and Systems,
Vol. 43, No. 5 (1996), 397-399.
Note on constructing near tight wavelet frames by neural networks",
Proceedings of SPIE Conference on Wavelet Applications in
Signal and Image Processing IV,
M.A. Unser, A. Aldroubi, and A.F. Laine, ed.,
Vol. 2825 (1996), 152-162.
Limitations on the approximation capbilities of neural
networks with one hidden layer", (with C.K. Chui and H.N. Mhaskar),
Advances in Computational Mathematics, 5 (1996), 233-243.
Hankel matrices and approximation of continuous-time systems,
Approximation Theory VIII, Vol.1: Approximation and Interpolation,
C.K. Chui and L.L. Schumaker, ed., (1995), 335-342.
Hankel operators and best Hankel approximation on
the half-plane", Advances in Computational Mathematics, 2 (1994),
343-355.
Neural networks for localized approximation, (with C.K. Chui
and H.N. Mhaskar), Mathematics of Computation, Vol.
63, No. 208 (1994),
607-623.
Continuity of best Hankel approximation and convergence of
near-best approximants, (with C.K. Chui),
SIAM Journal on Control and Optimization,
Vol. 121, No. 1 (1994), 1769-1781.
Generalized wavelet decompositions of bivariate functions,
(with C.K. Chui), Proceedings of American Mathematical Society,
Vol. 121, No. 1 (1994), 125-131.
Hankel approximation and its applications, Ph.D. Dissertation,
Texas A&M University, May 1991.
On computation of minimum-norm tangent interpolation, (with
C.K. Chui and L. Zhong), Approximation Theory VI, Vol. I, C.K. Chui,
L.L. Schmaker, and J.D. Ward, ed., (1989), 137-140.
Generalized wavelet
decompositions of bivariate functions,
(with C.K. Chui), Proceedings of American Mathematical Society,
Vol. 121, No. 1 (1994), 125-131.
Realization of neural networks with one-hidden layer, (with
C.K. Chui), Multivariate Approximation: From CAGD to Wavelets,
K. Jetter and F. Utreras, ed., (1993), 77-89.
Approximation by ridge functions and neural networks with one
hidden layers, (with C.K. Chui), Journal of Approximation Theory,
Vol. 70, No. 2 (1992), 131-141.
On the convergence rate of s-numbers of compact Hankel
operators", (with C.K. Chui and J.D. Ward), Circuits Systems and Signal
Process, Vol. 11, No. 2 (1992), 353-362.
Rate of uniform convergence of rational functions corresponding
to best approximants of truncated Hankel operators, (with C.K. Chui and J.D.
Ward), Mathematics of Control, Signals, and Systems,
5 (1992), 67-79.
System reduction via truncated Hankel matrices, (with C.K. Chui
and J.D. Ward), Mathematics of Control, Signals, and Systems,
4 (1991), 161-175.
Hankel approximation and its applications, Ph.D. Dissertation,
Texas A&M University, May 1991.
On computation of minimum-norm tangent interpolation, (with
C.K. Chui and L. Zhong), Approximation Theory VI, Vol. I, C.K. Chui,
L.L. Schmaker, and J.D. Ward, ed., (1989), 137-140.
On computation of minimum-norm tangent interpolation, (with
C.K. Chui and L. Zhong), Approximation Theory VI, Vol. I, C.K. Chui,
L.L. Schmaker, and J.D. Ward, ed., (1989), 137-140.
