**PUBLICATIONS **

- J.Z. Wang, Semi-Supervised Learning Using Ensembles of Multiple 1D-Embedding-Based Label Boosting, to be appeared on
*International Journal of Wavelets, Multiresolution and Information Processing*(2016) - J.Z. Wang, Semi-Supervised Learning Using Multiple One-Dimensional Embedding Based Adaptive Interpolation, to
be appeared on
*International Journal of Wavelets, Multiresolution and Information Processing*(2016) - Y. Wang, Y.Y. Tang, L. Li, and J.Z. Wang,Face Recognition via Collaborative Representation based Multiple One-Dimensional Embedding, to be appeared on
*International Journal of Wavelets, Multiresolution and Information Processing*(2016) - Y. Song, H. Li, J.Z. Wang, and K.I. Kou, Multiple One-Dimensional Embedding Based Clustering Scheme for Hyperspectral Image Classification, to be appeared on
*International Journal of Wavelets, Multiresolution and Information Processing*(2016) - Z. Ye, H. Li, Y. Song, J.Z. Wang, and J. A. Benediktsson A Novel Semi-supervised Learning Framework for Hyperspectral Image Classification, to be appeared on
*International Journal of Wavelets, Multiresolution and Information Processing*(2016) - Jianzhong. Wang, Elementary matrix decomposition algorithm for symmetric extension of Laurent polynomial matrices and its application in construction of symmetric M-band filter banks, Chapter 11 in Intelligent Mathematics II: Applied Mathematics and Approximation Theory - Contributions from AMAT 2015, Springer Heidelberg Proceedings
- J.Z. Wang, Euclidean Algorithm for Laurent Polynomial Matrix Extension --A note on dual-chain approach to construction of wavelet filters,
*Applied and Computational Harmonic Analysis*,**38**(2) (2015), 331-345. - J.Z. Wang, Approximation of Weighted Local Mean Operators,
*Applicable Analysis*,**93**(4) (2014), 823-839. - C.A. Micchelli, J.Z. Wang, and Yi Wang, On an asymptotic analysis of polynomial approximation to half-band filters,
*Advances in Computational Mathematics*,**38**(3)(2013) 601-622. - C.K. Chui and J.Z. Wang, Nonlinear Method for Dimensionality Reduction, in ¡°Handbook of Geomathematics, 2
^{nd}Editor,¡± W. Freeden, Z. Nashed and T. Sonar eds. Springer, Berlin, 2015. - J.Z. Wang, Effective All-Pairs Dijkstra¡¯s Algorithm for Computing Undirected Weighted Graph Metrics, in Proceedings of 2012 Spring International Conference on Applied and Engineering Mathematics (AEM-S) Xi¡¯an China, 2012.
- Jianzhong Wang, Construction of local nonlinear filter without staircase effect in image restoration, special issue¡°Wavelet analysis in PDE and Mathematical imagery¡±,
*Applicable Analysis***90**(8) (2011) 1257¡ª1273. - Jianzhong Wang, ¡°Geometric Structure of High-Dimensional Data and Dimensionality Reduction,¡± Higher Education Press (China) and Springer, Beijing, 2011 (ISBN 978-7-04-031704-6)
- C.K. Chui and Jianzhong Wang, Dimensionality Reduction of Hyper-Spectral Imagery Data for Feature Classification, Chapter 47 in "Handbook of Geomathematics 1
^{ st}Editor," W. Freeden, Z. Nashed and T. Sonar eds., Springer, Berlin, 2010. - C.K. Chui and Jianzhong Wang, Randomized Anisotropic Transform for Nonlinear Dimensionality Reduction
*International Journal on Geomathematics*,**1**(1) (2010) 23-50. - C.K. Chui and Jianzhong Wang , PDE models associate with the bilateral filter,
*Advances in Computational Mathematics*,**31**(2009) 131-156. - Jianzhong Wang, Higher Order Difference Schemes for Heat Equation,
*Applications and Applied Mathematics,***4**(2) (2009) 263-272. - Jianzhong Wang,Multiscale Randomized Algorithms for Approximation to Symmetric Matrices, Proceedings of the 5
^{th}Asian Mathematical Conference, >L.S. Keong and H.K. Haili eds. Malaysia, Vol. I. ISBN: 978-967-5417-53-5 (2009) 436-441. - C.K. Chui and Jianzhong Wang, Methods and algorithms for dimensionality reduction of HSI data,
*The 2*, UCLA, Los Angles, July, 29-31, 2008.^{nd}Workshop on Advancing the Automation of Image Analysis, AAIA Workshop II - Jianzhong Wang, Wavelet approach to numerical differentiation of noisy functions,
*Communications on Pure and Applied Analysis*,**6**(3) (2007) 873-897. - C.K. Chui and Jianzhong Wang, Wavelet-Based Minimal-Energy Approach to Image Restoration,
*Applied a Computational Harmonic Analysis***23**(2007) 114-130. - Jianzhong Wang, On Spline Wavelets, in the book "
*Wavelets and Splines¡ªAthens 2005*" Ed. by G. Chen and M-J Lai, (2006) 456-483. - Jianzhong Wang, Variational method and wavelet regression,
*Journal of Concrete and Applicable Mathematics: the special issue on ¡°Wavelets and Applications¡±,***4**(4) (2006) 485-504. - C.K. Chui and Jianzhong Wang,
*Image Clean-up and Pre-coding*, U. S. Patent Application #11/153,461 (filing date: 06/14/2004) and PCT International Application #61586-5000WO (filing date: 06/14/2005). - D. Hong, Jianzhong Wang, and R. Gardner, ¡°
*Real analysis with an Introduction to Wavelets and Applications*¡±, Elsevier Academic Press, 2005. - R-Q. Jia, Jianzhong Wang, and D-X Zhou, Compactly supported wavelet bases
for Sobolev spaces,
*Applied and Computational Harmonic Analysis***15**(2003) 224-241. - C.K. Chui and Jianzhong Wang, Shannon wavelet approach to sub-band coding,
*International Journal of Wavelets, Multiresolution and Information Processing,***1**(2003) 233-242. - Jianzhong Wang, Interpolating cubic spline wavelet packet on arbitrary partitions,
*J. of Comput. Anal. And Appl.***5**(2003) 179-193. - Jianzhong Wang, Spline wavelets in numerical resolution of partial differential equations, in
*Wavelet Analysis and their Applications*, D. Deng, D. Huang, R-Q. Jia, W. Lin, and Jianzhong Wang (eds.)**25**of AMS/IP Studies Advanced Mathematics, Series Editor: S.T. Yau, International Press, (2002) 257-277. - Jianzhong Wang, On Linear Independence of Generators of FSI Distribution Spaces on R, in
*Approximation Theory X, Splines and Applications,*C.K. Chui, L.L. Schumaker, and J. Stockler eds. (2002) 453-472. - Jianzhong Wang, A necessary and sufficient condition for a perfect filter bank,
*SPIE Proceedings*,**3813**(1999) 682-690. - D. Ruch, W. So, and Jianzhong Wang, Global support of a scaling vector,
*Applied and Computational Harmonic Analysis***5**(1998) 493-498. - Jianzhong Wang, Stability and linear independence associated with scaling vectors,
*SIAM Mathematical Analysis***29**(1998), 1140--1156. - D. Eubank, P. Van Fleet and Jianzhong Wang, Moment computation in invariant spaces,
*Journal of Applied Mathematics and Stochastic Analysis***11**(1998) 465-479. - Jianzhong Wang, Study of linear independence and accuracy of scaling vectors via two-scale factors, in ¡°
*Advances in Wavelets*¡± K.S. Lau et al., eds. Springer (1998) 229-260. - C.K. Chui and Jianzhong Wang, A study of asymptotically optimal time-frequency windows of scaling functions and wavelets,
*Annals of Numerical Mathematics***4**(1997) 193-216. - W. So and Jianzhong Wang, Estimating the support of a scaling vector,
*SIAM J. Matrix Analysis and Applications***18**(1997) 66-73. - W. Cai and Jianzhong Wang, Adaptive multiresolution
collocation methods for initial boundary value problems of nonlinear PDE's,
*SIAM Journal of Numerical Analysis***33**(1996) 937-970. - Jianzhong Wang, Cubic spline wavelet bases for Sobolev space and multilevel interpolation,
*Applied and Computational Harmonic Analysis***3**(1996) 154-163. - C.K. Chui and Jianzhong Wang, High order orthonormal scaling functions and wavelets give poor time-frequency localization,
*Fourier analysis and applications***2**(1996) 415-426. - Jianzhong Wang, Interpolating spline wavelet packets, in ¡°
*Approximation theory VIII, Vol 2*,¡± C.K. Chui and L.L. Schumaker eds. (1995) 399-406. - Jianzhong Wang and Z. Zhang, On necessary and sufficient conditions for duals of wavelet frames,
*Acta**Math Scientia***15**(1995) 6-14. - Jianzhong Wang, On solutions of two-scale difference equations,
*Chinese Ann. Math.*(*Series B*)**15**(1994) 23-34. - C.K. Chui and Jianzhong Wang, A study of compactly supported scaling functions and wavelets, in ¡°
*Curve and Surfaces II*,¡± P.J. Laurent, A. Le Mehaute, and L.L. Schumaker eds. (1994) 121-140. - C.K. Chui and Jianzhong Wang, Quasi-interpolation functional on the space of EP splines,
*J. Approx. Theory***76**(1994) 303-325. - S. Xiao, Jianzhong Wang, and Y. Yang, Image mosaic and its boundary problems,
*Pattern Recognition and Artificial Intelligence***6**(1993) 198-195. - Rong-Qing Jia and Jianzhong Wang, Stability and linear independence associated with wavelet decompositions,
*Proc. Amer. Math. Soc***117**(1993) 1115-1124. - C.K. Chui and Jianzhong Wang, Computational and algorithmic aspects of cardinal spline wavelets,
*Approx. and Its Appl.***2**(1993) 53-75. - C.K. Chui and Jianzhong Wang, An analysis of cardinal-spline wavelets,
*J. Approx. Theory***72**(1993) 54-68. - C.K. Chui and Jianzhong Wang, A general framework of compactly supported splines and wavelets,
*J. Approx. Theory***71**(1992) 263-304. - C.K. Chui and Jianzhong Wang, On compactly supported spline wavelets and a duality principle,
*Trans. Amer. Math. Soc.***330**(1992) 903-916. - C.K. Chui and Jianzhong Wang, A cardinal spline approach to wavelets,
*Proc. Amer. Math. Soc*.**113**(1991) 785-793. - Jianzhong Wang, Wavelet theory and its application to engineering and physics, Math. Advance
**2**(1991). - Jianzhong Wang, Approximation of Cauchy principal value integral by cubic spline,
*Acta**. Math. Scientia***1**(1991). - Jianzhong Wang, A point-valued dual functional to the B-net basis
*, Math. Numer. Sinica***3**(1991).

**Before 1990
**

- Y.
Chen and Jianzhong Wang, A remark on minimal support of bivariate
polynomial splines, in ¡°
*Approximation Theory IV*,¡± C.K. Chui, et al., eds. (1989). - Jianzhong
Wang, The null splines of the quadratic box spline space,
*Applied Math. Journal of Chinese Univ*.**1**(1988). - Jianzhong
Wang, Riemann problem with infinite many numbers of discontinuous points
on real axis,
*Acta**. Math. Scientia***1**(1988). - Jianzhong
Wang, On Cauchy principal value integral in case of kernel with infinite
many numbers of discontinuous points,
*Acta**. Math. Scientia***3**(1987). - Jianzhong
Wang, On dual basis of bivariate box splines,
*Approx. theory and Its Appl.***3**(1987). - Jianzhong
Wang, Biorthogonal functional of box splines,
*Math. Numer. Sinica***1**(1986). - Jianzhong
Wang, Local quasi-interpolating operators reproducing polynomials,
*J. Math. At Wuhan,***1**(1986). - Jianzhong
Wang, On multivariate splines interpolations,
*Chinese Ann. Math.*(*Series A*)**2**(1986). - Jianzhong
Wang, Interpolation by bivariate splines on a three direction mesh,
*Numer**. Math*.*Journal of Chinese Univ*.**1**(1986). - Jianzhong
Wang, On coefficients of expansion in bivariate
box splines,
*Chinese Ann. Math.***2**(1986). - Jianzhong
Wang, Representations of box splines by truncated powers,
*Math. Numer. Sinica***1**(1985). - Jianzhong
Wang, Exact estimates of remainders of Hermite interpolating splines--on conjuncture of Lipow and Schoenberg,
*J. Wuhan Univ*.**4**(1985). - Jianzhong
Wang, Direct method of solution of singular integral equation with complex
Hilbert kernel, J. Wuhan Univ.
**1**(1984). - D.
Huang and Jianzhong Wang, The relation between the boundary condition and
the convergence of interpolation splines,
*Acta**. Math. Appl. Sinica***7**(1984). - D.
Huang and Jianzhong Wang, The asymptotic expansions of quintic lacunary interpolation splines,
*Math. Numer. Sinica***2**(1984). - Jianzhong
Wang, On optimal error bounds for interpolating
splines and corresponding linear width problems,
*J. Math. at Wuhan***4**(1984). - D.
Huang and Jianzhong Wang, Cubic L-spline interpolation at a bi-infinite knot
sequence,
*J. Math. Research and Exposition***1**(1983). - Jianzhong
Wang, Lacunary polynomial splines with midpoint
interpolation conditions,
*Chinese Ann. Math*. (*Series A*)**4**(1983). - D.
Huang and Jianzhong Wang, Budan-Fourier theorem
of $L$-spline and its application,
*Chinese Ann. Math.*(*Series A*)**3**(1983). - D.
Huang and Jianzhong Wang, Inequality of Kolmogorov type bearing on
self-conjugate differential operators,
*Acta**. Math. Sinica***26**(1983). - Jianzhong
Wang, On optimal error bounds for interpolating
splines,
*Scientia Sinica*(*Series A*)**25**(1982). - D.
Huang and Jianzhong Wang, On quartic and quintic interpolating splines and their optimal error
bounds,
*Scientia Sinica*(Series A)**25**(1982). - Jianzhong
Wang, Best simultaneous L
^{1}-approximations to n functions,*Math. Numer. Sinica***1**(1982). - Jianzhong
Wang, Optimal error Lp bounds for polynomial
interpolating splines
*, J. Zhejiang Univ*.**4**(1982). - Jianzhong
Wang, Quartic lacunary polynomial spline,
*J. Zhejiang Univ*.**1**(1981).