Selected PUBLICATIONS

    Books/Proceedings/Professional Report

  1. QUANTITATIVE MEDICAL DATA ANALYSIS USING MATHEMATICAL TOOLS AND STATISTICAL TECHNIQUES , (with Yu Shyr ), World Scientific Publication , 2007. ISBN: 978-981-270-461-0.

  2. Real Analysis with an introduction to wavelets and applications, Graduate Textbook, (with Jianzhong Wang and Robert Gardner), Elsevier/Academic Press, 2004. ISBN: 0-12-354861-6.

    Articles in Journals

  3. D. Hong, Spaces of bivariate spline functions over triangulations, Approx. Theory and Applications, 7 (1) 1991, 56-75. MR 92f: 65016.

  4. C. K. Chui, D. Hong, and R. Q. Jia, Stability of optimal order approximation by bivariate splines over arbitrary triangulations, Trans. of Amer. Math. Soc. , 347 (1995), 3301-3318. MR 96d: 41012.

  5. C. K. Chui and D. Hong, Construction of the local $C^1$ quartic spline elements for optimal order approximation, Mathematics of Computation , 65 (01/1996), 85-98. MR 96d: 65023.

  6. C. K. Chui and D. Hong, Swapping edges of arbitrary triangulations to achieve the optimal order of approximation, SIAM J. Numer. Anal. , 34 (08/1997), 1472-1482. MR 98h: 41036.

  7. D. Hong, On optimal order of approximation from bivariate spline spaces , In " Proceedings of the Sixth International Colloquium on Numerical Analysis and Computers with Applications" (D.D. Bainov Ed.), pp.219-226, VSP, International Sciences Publishers, Utrecht, The Netherlands, 1998. CMP 1 644 943 (99:01), MR 99d: 00026.

  8. Doug Hardin and Don Hong, On Piecewise Linear Wavelets and Prewavelets over Triangulations, Journal of Computational and Applied Mathematics, 155 (2003), 91-109.

  9. Don Hong and Larry L. Schumaker, Surface Compression Using a Basis of $C^1$ Cubic Bivariate Spline Spaces, Computing, 72 (2004), 79-92.

  10. Huan-Wen Liu, Don Hong, and Dun-Qian Cao, Bivariate $C^1$ cubic spline space over non-uniform type-2 triangulation and its subspaces with boundary conditions, Journal of Computers and Mathematics with Applications, 49 (2005), 1853-1865.

  11. Shuo Chen, Don Hong, and Yu Shyr, Wavelet-Based Procedures for Proteomic MS Data Processing, Computational Statistics and Data Analysis, 52 (2007), 211-220.

  12. Don Hong and Yu Shyr, Mathematical Framework and Wavelets Applications in Proteomics for Cancer Study, In: Handbook of Cancer Models With Applications to Cancer Screening, Cancer Treatment and Risk Assessment, (Wai-Yuan Tan and Leonid Hannin Eds.), pp. 471-499, World Scientific Publication, Singapore, 2008. ISBN: 981-277-947-7.

  13. Shuo Chen, Ming Li, Don Hong, Dean Billheimer, Huiming Li, Baogang J. Xu, and Yu Shyr, A Novel Comprehensive Wave-form MS Data Processing Method, Bioinformatics, Vol. 25, no. 6, 2009, 808--814.

  14. D. Hong and F. Zhang, Weighted Elastic Net Model for Mass Spectrometry Imaging Processing, Math. Model. Nat. Phenom. , Vol. 5, No. 3, 2010, pp. 115-133.

  15. Fengqing (Zoe) Zhang and Don Hong, Elastic net-based framework for imaging mass spectrometry data biomarker selection and classification , Statistics in Medicine , 30 (2011), 753-768. DOI: 10.1002/sim.4147, March 2011.

  16. JS. Liang, FZ Zhang, JC. Zou, and D. Hong, IMSmining: A Tool for Imaging Mass Spectrometry Data Biomarker Selection and Classification, Springer Proceedings in Mathematics & Statistics, Volume 139: Mathematics and Computing, pp.155-162, Springer, New York, 2015.

  17. Lu Xiong and Don Hong, An MCMC-MRF Algorithm for Incorporating Spatial Information in IMS Proteomic Data Processing, In "Statistical Analysis of Proteomics, Metabolomics, and Lipidomics Data Using Mass Spectrometry," Datta, Susmita, Mertens, Bart J. A. (Eds.), Springer International Publishing, Switzerland, pp.81-99, 2017.

  18. Xin Yang, Qiang Wu, Jiancheng Zou, and Don Hong, Spatial Regularization for Neural Network and Application in Alzheimer's Disease Classification, Proceedings of FTC 2016 - Future Technologies Conference 2016, 6-7 December 2016, San Francisco, United States, IEEE, pp.831-837, 2017.

  19. J.C. Zou, Z.Z. Li, Z.J. Guo, and D. Hong, Super-resolution Reconstruction of Images Based on Microarray Camera, Computers, Materials and Continua, 58(2):163-177 DOI: 10.32604/cmc.2019.05795.

  20. Jingsai Liang, J.C. Zou, and D. Hong, Non-Gaussian Penalized PARAFAC Analysis for fMRI Data, Frontiers in Applied Mathematics and Statistics, doi: 10.3389/fams.2019.00040.

    Click HERE for a complete list of publication. If you are interested in my papers, please Send Me Email: don.hong@mtsu.edu.

    Here is a list of my PhD graduates .

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