Publications

Preprint

      1. Zuowei Shen, Haizhao Yang, Shijun Zhang, ReLU Network Approximation in Terms of Intrinsic Parameters, PDF
      2. Zuowei Shen, Haizhao Yang, Shijun Zhang, Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons,PDF
      3. Chenglong Bao, Qianxiao Li, Zuowei Shen, Cheng Tai, Lei Wu, Xueshuang Xiang, Approximation analysis of convolutional neural networks. PDF

Published

      1. Tongyao Pang, Zuowei Shen, Sparse Estimation: An MMSE Approach, Constructive Approximation, (202x) to appear.PDF
      2. Qianxiao Li, Ting Lin, Zuowei Shen, Deep Learning via Dynamical Systems: An Approximation Perspective, Journal of European Mathematical Society, (202x) to appear. PDF
      3. Zuowei Shen, Haizhao Yang, Shijun Zhang, Optimal Approximation Rate of ReLU Networks in Terms of Width and Depth, Journal de Mathématiques Pures et Appliquées, 157, (2022), 101-135. PDF
      4. Bin Dong, Zuowei Shen, Jianbin Yang, Approximation from Noisy Data, SIAM Journal on Numerical Analysis, 59(5), (2021), 2722-2745. PDF
      5. Jianfeng Lu, Zuowei Shen, Haizhao Yang, Shijun Zhang, Deep Network Approximation for Smooth Functions, SIAM Journal on Mathematical Analysis, 53(5), (2021), 5465-5506 PDF
      6. Zuowei Shen, Haizhao Yang, Shijun Zhang, Deep Network with Approximation Error Being Reciprocal of Width to Power of Square Root of Depth, Neural Computation, 33(4), (2021), 1005-1036. PDF
      7. Zuowei Shen, Haizhao Yang, Shijun Zhang, Neural Network Approximation: Three Hidden Layers Are Enough, Neural Networks, 141 (2021), 160-173. ​PDF
      8. Zuowei Shen, Haizhao Yang, Shijun Zhang, Deep network approximation characterized by a number of neurons,  Communications in Computational Physics, 28 (2020), 1768-1811. PDF
      9. Tongyao Pang, Qingna Li, Zaiwen Wen, Zuowei Shen, Phase retrieval: a data-driven wavelet frame based approach, Applied and Computational Harmonic Analysis, 49 (2020), 971-1000.  PDF
      10. Hui Ji, Zuowei Shen, Yufei Zhao, Multi-scale discrete framelet transform for graph-structured signals,  Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18(3) (2020), 1210-1241. PDF
      11. Zuowei Shen, Haizhao Yang, Shijun Zhang, Nonlinear approximation via compositions, Neural Networks, 119, (2019), 74-84.  PDF
      12. Yongqiang Cai, Qianxiao Li, Zuowei Shen, Quantitative analysis of the effect of batch normalization on gradient descent, Thirty-sixth International conference on machine learning (ICML), (2019) PDF
      13. Hui Ji, Zuowei Shen,Yufei Zhao, Digital Gabor filters do generate MRA-based wavelet tight frames, Applied and Computational Harmonic Analysis, 47(1), (2019), 87-108. PDF
      14. Chenglong Bao, George Barbastathis, Hui Ji, Zuowei Shen and Zhengyun Zhang, Coherence retrieval via trace regularization, SIAM Journal on Imaging Sciences, 11(1), (2018), 679-706. PDF
      15. Giuanhua Zhu, Wei Liu, Chenglong Bao, Dudu Tong, Hui Ji, Zuowei Shen, Daiwei Yang and Lanyuan Lu. Investigating energy-based pool structure selection in the structure ensemble modeling with experimental distance constraints: the example from a multi-domain protein Pub 1, Proteins: Structure, Function, and Bioinformatics 86(5),(2018), 501-514. PDF
      16. Hui Ji, Zuowei Shen,Yufei Zhao, Digital Gabor Filters with MRA structure, Multiscale Modeling and Simulation: A SIAM Interdisciplinary 16(1), (2018), 452-476. PDF
      17. Jianbin Yang, Guanhua Zhu, Dudu Tong, Lanyuan Lu, Zuowei Shen, B-spline tight frame based force matching method, Journal of Computational Physics, 362, (2018), 208-219. PDF
      18. Bin Han, Qingtang Jiang, Zuowei Shen, Xiaosheng Zhuan, Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness, Mathematics of Computation, 87 (2018) 347-379.PDF
      19. Zhengyun Zhang, Chenglong Bao, Hui Ji, Zuowei Shen, George Barbastathi, Apparent coherence loss in phase space tomography Journal of the Optical Society of America A., 34(11), (2017), 2025-2033. PDF
      20. Hui Ji, Zuowei Shen, Yufei Zhao, Directional Frames for Image Recovery: Multi-scale Discrete Gabor Frames, Journal of Fourier Analysis and Applications, 23(4), (2017), 729-757. PDF
      21. Bin Dong, Zuowei Shen, Xiaoqun Zhang, Mathematical methods in Image restoration, The Institute of Mathematics Lecture Series, Chinese Academy of Science, (2017), China Science Publishing & Media Ltd,(Nanhua Xi eds) 32-91. PDF
      22. Bin Dong, Qingtang Jiang, Zuowei Shen, Image restoration: wavelet frame shrinkage, nonlinear evolution PDEs, and beyond, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 15(1) (2017), 606-660. PDF
      23. Bin Dong, Zuowei Shen, Peichu, Xie; Image Restoration: A general wavelet frame based model and its asymptotic analysis, SIAM Journal on Mathematical Analysis, 49(1)(2017), 421-445. PDF
      24. Jianbin Yang, Dominik Stahl, Zuowei Shen, An analysis of wavelet frame based scattered data reconstruction, Applied and Computational Harmonic Analysis, 42(3), (2017), 480-507. PDF
      25. Jia Li, Chuang Miao, Zuowei Shen, Ge Wang, Hengyong Yu, Robust Frame Based X-Ray CT Reconstruction, Journal of Computational Mathematics, 34(6), (2016), 683-704. PDF
      26. Chenglong Bao, Bin Dong, Likun Hou, Zuowei Shen, Xiaoqun Zhang, Xue Zhang, Image restoration by minimizing zero norm of wavelet frame coefficients, Inverse Problems, 32(1), (2016). PDF
      27. Jiulong Liu, Xiaoqun Zhang, Bin Dong, Zuowei Shen, Lixu Gu, A wavelet frame method with shape prior for ultrasound video segmentation, SIAM Journal on Imaging Sciences, 9(2) (2016), 495-519. PDF ; SIAM.nuggets: SIAM.NEWS ; Science News ; ScienceDaily ; Scifeeds ; Science Codex ; EurekAlert ; MedImaging ; Hitechdays ; TechXplore; Technobahn; Pubniche ; Healthmanagement.org ; Healthcarebusiness ; AuntMinnie ; Myinforms ; OOYUZ ; Wrightwood
      28. Chenglong Bao, Hui Ji, Yuhui Quan, Zuowei Shen, Dictionary learning for sparse coding: Algorithms and convergence analysis, IEEE Transactions on Pattern Analysis and Machine Intelligence, 38(7), (2016), 1356-1369. PDF
      29. Hui Ji, Yu Luo, Zuowei Shen, Image recovery via geometrically structured approximation, Applied and Computational Harmonic Analysis, 41(1), (2016), 75-93. PDF
      30. Bin Dong, Qingtang Jiang, Chaoqian Liu, Zuowei Shen, Multiscale representation of surfaces by tight wavelet frames with applications to denoising, Applied and Computational Harmonic Analysis, 41(2), (2016), 561-589. PDF
      31. Jianfeng Cai, Bin Dong, Zuowei Shen, Image restorations: a wavelet frame based model for piecewise smooth functions and beyond, Applied and Computational Harmonic Analysis, 41(1), (2016), 94-138. PDF
      32. Zhitao Fan, Andreas Heinecke, Zuowei Shen, Duality for frames, Journal of Fourier Analysis and Applications, 22(1), (2016), 71-136. PDF
      33. Zhitao Fan, Hui Ji, Zuowei Shen, Dual Gramian analysis: duality principle and unitary extension principle, Mathematics of Computation, 85 (2016) 239-270. PDF
      34. Bin Dong and Zuowei Shen, Image restoration: a data-driven perspective, Proceedings of the International Congress on Industrial and Applied Mathematics (ICIAM), Beijing, China, (2015), High Education Press, (Lei Guo, Zhi-Ming Ma eds), 65-108. ICIAM.pdf
      35. Qingtang Jiang, Zuowei Shen, Tight wavelet frames in low dimensions with canonical filters, Journal of Approximation Theory 196 (2015) 55-78. PDF
      36. Jia Li, Zuowei Shen,Rujie Yin, Xiaoqun Zhang, A reweighted l2 method for image restoration with poisson and mixed poisson-gaussian noise, Inverse Problem and Imaging 9(3), (2015), 875-894. PDF
      37. Yuhui Quan, Hui Ji, Zuowei Shen, Data-driven multi-scale non-local wavelet frame construction and image recovery, Journal of Scientific Computing, 63(2) (2015), 307-329. PDF
      38. Chenglong Bao, Hui Ji, Zuowei Shen, Convergence analysis for iterative data-driven tight frame construction scheme, Applied and Computational Harmonic Analysis, 38(3), (2015), 510-523. PDF
      39. Chenglong Bao, Hui Ji, Yuhui Quan, Zuowei Shen, L0 norm based dictionary learning by proximal methods with global convergence, IEEE Conference Computer Vision and Pattern Recognition (CVPR), Columbus, (2014). PDF
      40. Jianfeng Cai, Xun Jia, Hao Gao, Steve B. Jiang, Zuowei Shen, Hongkai Zhao, Cine cone beam CT reconstruction using low-rank matrix factorization: algorithm and a proof-of-principle study, IEEE Transactions on Medical Imaging 33 (8) (2014), 1581-1591. PDF
      41. Zheng Gong, Zuowei Shen, Kim Chuan Toh, Image restoration with mixed or unknown noises, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 12(2) (2014), 458-487. PDF
      42. Ming Li, Zhitao Fan, Hui Ji, Zuowei Shen, Wavelet frame based algorithm for 3D reconstruction in electron microscopy, SIAM Journal on Scientific Computing, 36(1) (2014), 45-69. PDF
      43. Jianfeng Cai, Hui Ji, Zuowei Shen, Guibo Ye, Data-driven tight frame construction and image denoising, Applied and Computational Harmonic Analysis, 37(1), (2014), 89-105. PDF
      44. Hong Jiang, Songqing Zhao, Zuowei Shen, Wei Deng, Paul Wilford, Raziel, Haimi-Cohen, Surveillance video analysis using compressive sensing with low latency, Bell Labs Technical Journal, 18(4), (2014), 63-74. PDF
      45. Say Song Goh, Zuowei Shen, Junqi Zhou, Simultaneous data recovery in image and transform domains, Methods and Applications of Analysis 20 (4) (2013), 453-466. PDF
      46. Likun Hou, Hui Ji, Zuowei Shen, Recovering over/under-exposed regions in photographs, SIAM Journal on Imaging Sciences, 6 (4) (2013), 2213-2235. PDF
      47. Cheng Tai, Xiaoqun Zhang, Zuowei Shen, Wavelet frame based Multi-phase image segmentation; SIAM Journal on Imaging Sciences, 6 (4) (2013), 2521-2546. PDF
      48. Jingwei Liang, Jia Li, Zuowei Shen, Xiaoqun Zhang, Wavelet frame based color image demosaicing, Inverse Problem and Imaging 7 (3), (2013), 777-794. PDF
      49. Zuowei Shen, Zhiqiang Xu, On B-spline framelets derived from the unitary extension principle, SIAM Journal on Mathematical Analysis, 45(11) (2013), 127-151. PDF
      50. Bin Dong, Jia Li, Zuowei Shen, X-ray CT image reconstruction via wavelet frame based regularization and radon domain inpainting, Journal of Scientific Computing, 54(2-3) (2013), 333-349. PDF
      51. Fei Yang, Hong Jiang, Zuowei Shen, Wei Deng, Dimitris Metaxas, Adaptive low rank and sparse decomposition of video using compressive sensing, IEEE International Conference on Image Processing (ICIP) Melbourne, Australia, 2013. PDF
      52. Jianfeng Cai, Bin Dong, Stanley Osher, Zuowei Shen, Image restoration: total variation, wavelet frames, and beyond, Journal of the American Mathematical Society, 25 (4) (2012), 1033-1089. PDF
      53. Hong Jiang, Wei Deng, Zuowei Shen, Surveillance video processing using compressive sensing, Inverse Problem and Imaging, 6 (2), (2012), 201-214. PDF
      54. Bin Dong, Zuowei Shen, MRA-based wavelet frames and applications: image segmentation and surface reconstruction, SPIE 2012 Defense, Security and Sensing, 8401 Article number:840102 DOI 10.1117/12.923203, (2012). PDF
      55. Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, Framelet based blind motion deblurring from a single image, IEEE Transactions on Image Processing, 21(2), (2012), 562-572. PDF
      56. Hui Ji, Jia Li, Zuowei Shen, Kang Wang, Image deconvolution using a characterization of sharp images in wavelet domain, Applied and Computational Harmonic Analysis, 32(2), (2012), 295-304. PDF
      57. Bin Dong, Hui Ji, Jia Li, Zuowei Shen, Yuhong Xu, Wavelet frame based blind image inpainting, Applied and Computational Harmonic Analysis, 32(2), (2012), 268-279. PDF
      58. Bin Dong, Zuowei Shen, Wavelet frame based surface reconstruction from unorganized points, Journal of Computational Physics, 230(22), (2011), 8247-8255. PDF
      59. Bin Han, Gitta Kutyniko, Zuowei Shen, Adaptive multiresolution analysis structures and shearlet systems, SIAM Journal on Numerical Analysis, 49 (5), (2011), 1921-1946.PDF
      60. Hui Ji, Sibin Huang, Zuowei Shen, Yuhong Xu, Robust video restoration by joint sparse and low rank matrix approximation, SIAM Journal on Imaging Sciences, 4 (4) (2011), 1122-1142 PDF
      61. Hao Gao, Jianfeng Cai, Zuowei Shen, Hongkai Zhao, Robust principle component analysis based four-dimensional computed tomography, Physics in Medicine and Biology, 56(11) (2011), 3181-3198. PDF
      62. Zuowei Shen, Kim-Chuan Toh, Sangwoon Yun, An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach, SIAM Journal on Imaging Sciences, 4 (2) (2011), 573-596. PDF
      63. Bin Han, Qun Mo, Zuowei Shen, Small support spline Riesz wavelets in low dimensions, Journal of Fourier Analysis and Applications, 17(4), (2011), 535-566. PDF
      64. Say Song Goh, Bin Han, Zuowei Shen, Tight periodic wavelet frames and approximation orders, Applied and Computational Harmonic Analysis, 31, (2011), 228-248. PDF
      65. Jianfeng Cai, Zuowei Shen, Guibo Ye, Approximation of frame based missing data recovery, Applied and Computational Harmonic Analysis, 31(2), (2011), 185-204 PDF
      66. Hui Ji, Zuowei Shen, Yuhong Xu, Wavelet frame based image restoration with missing/damaged pixels, East Asia Journal on Applied Mathematics, Vol 1 (2), (2011), 108-131. PDF
      67. Bin Dong, Aichi Chien, Zuowei Shen, Frame based segmentation for medical images, Communications in Mathematical Sciences, 32(4), (2010), 1724-1739. PDF
      68. Bin Dong, Zuowei Shen, MRA-based wavelet frames and applications, IAS/Park City Mathematics Series: The Mathematics of Image Processing, Vol 19, (2010), 7-158. PDF
      69. Zuowei Shen, Wavelet frames and image restorations, Proceedings of the International Congress of Mathematicians, Vol IV, Hyderabad, India, (2010), Hindustan Book Agency, (Rajendra Bhatia eds), 2834-2863.ICM.pdf
      70. Hui Ji, Chaoqiang Liu, Zuowei Shen, Yuhong Xu, Robust video denoising using low rank matrix completion, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), San Francisco, 2010. PDF
      71. Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen, Tight frame based method for high-resolution image reconstruction, Contemporary Applied Mathematics, CAM 14, A. Damlamian and S. Jaffard eds, Higher Education Press (Beijing), (2010), 1-36. PDF
      72. Jianfeng Cai, Raymond Chan, Zuowei Shen, Simultaneous cartoon and texture inpainting, Inverse Problem and Imaging 4 (3), (2010), 379-395. PDF
      73. Jianfeng Cai, Hui Ji, Fuchun Shang, Zuowei Shen, Inpainting for Compressed Images, Applied and Computational Harmonic Analysis, 29(3), (2010), 368-381. PDF
      74. Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher, A new multiscale representation for shapes and its application to blood vessel recovery, SIAM Journal on Scientific Computing, 32(4) (2010), 1724-1739. PDF
      75. Hui Ji, Zuowei Shen, Yuhong Xu, Wavelet frame based scene reconstruction from range data, Journal of Computational Physics, 229(6), (2010), 2093-2108. PDF
      76. Jainfeng Cai, Emmanuel. J. Candes, Zuowei Shen, A singular value thresholding algorithm for matrix completion, SIAM Journal on Optimization, 20 (4) (2010), 1956-1982. SVT.pdf
      77. Jianfeng Cai, Zuowei Shen, Framelet based deconvolution, Journal of Computational Mathematics, 28(3) (2010), 289-308. PDF
      78. Jianfeng Cai, Stanley Osher, Zuowei Shen, Split Bregman methods and frame based image restoration, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 8(2), (2009), 337-369. PDF
      79. Herwig Wendt, Patrice Abry, Stephane Jaffard, Hui Ji, Zuowei Shen, Wavelet leader multifractal analysis for texture classification, IEEE International Conference on Image Processing (ICIP) Cairo, Egypt, 2009. PDF
      80. Jianfeng Cai, Stanley Osher, Zuowei Shen, Convergence of the linearized Bregman iteration for l_1-norm minimization, Mathematics of Computation, 78 (2009), 2127-2136. PDF
      81. Bin Han, Zuowei Shen, Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames, Israel Journal of Mathematics, 172 (2009), 371-398. PDF
      82. Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, Blind motion deblurring using multiple images, Journal of Computational Physics, 228 (14), 2009, 5057-5071. PDF
      83. M. J. Johnson, Zuowei Shen, Yuhong Xu, Scattered data reconstruction by regularization in B-spline and associated wavelet spaces, Journal of Approximation Theory, 159 (2009), 197-223. PDF
      84. Jianfeng Cai, Raymond Chan, Lixing Shen, Zuowei Shen, Simultaneously inpainting in image and transformed domains, Numerische Mathematik, 112(4) (2009), 509-533. PDF
      85. Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen, Convergence analysis of tight framelet approach for missing data recovery, Advances in Computational Mathematics, 31 (2009), 87-113. PDF
      86. Ning Bi, Bin Han, Zuowei Shen, Componentwise polynomial solutions and distribution solutions of refinement equation, Applied and Computational Harmonic Analysis, 27 (1) (2009), 117-123. PDF
      87. Jianfeng Cai, Stanley Osher, Zuowei Shen, Linearized Bregman iterations for compressed sensing, Mathematics of Computation, 78 (2009), 1515-1536. PDF
      88. Bin Han, Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, 29(3) (2009), 369-406. PDF
      89. Jianfeng Cai, Stanley Osher, Zuowei Shen, Linearized Bregman iteration for frame based image deblurring, SIAM Journal on Imaging Sciences, 2(1) (2009), 226-252.PDF
      90. Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, Blind motion deblurring from a single image using sparse approximation, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), Miami, 2009. PDF
      91. Jianfeng Cai, Hui Ji, Chaoqiang Liu, Zuowei Shen, High-quality curvelet-based motion deblurring using an image pair, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), Miami, 2009. PDF
      92. Bin Han, Zuowei Shen, Compactly supported symmetric C^\infty wavelets with spectral approximation order, SIAM Journal on Mathematical Analysis, 40(3) (2008), 905-938. PDF
      93. Nira Dyn, Kai Hormann, Malcolm A. Sabin, Zuowei Shen, polynomial reproduction by symmetric subdivision schemes, Journal of Approximation Theory, 155(1) (2008), 28-42. PDF
      94. Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen, Restoration of chopped and nodded images by framelets, SIAM Journal on Scientific Computing, 30(3) (2008) 1205-1227. PDF
      95. Jianfeng Cai, Raymond Chan, Zuowei Shen, A framelet-based image inpainting algorithm, Applied and Computational Harmonic Analysis, 24 (2008), 131-149. PDF
      96. Zuowei Shen, Shayne Waldorn, Scattered data interpolation by box splines, Study in Advanced Mathematics, AMS/IP Vol 42 (ICCM2004 Proceedings, S.T. Yau eds) (2008) 749-767.
      97. Raymond Chan, Zuowei Shen, Tao Xia, A framelet algorithm for enhancing video stills, Applied and Computational Harmonic Analysis, 23(2) (2007), 153-170. PDF
      98. Anwei Chai, Zuowei Shen, Deconvolution: A wavelet frame approach, Numerische Mathematik, 106 (2007), 529-587. deconvolution.pdf
      99. Bao Liu, S. D. Riemenschneider, Zuowei Shen, A Fast adaptive time-frequency analysis method and its application in vibration analysis, Journal of Vibration and Acoustics of ASME(Trans. ASME) 129 (2), (2007), 169-178. lrs.pdf
      100. Ning Bi, Bin Han, Zuowei Shen, Examples of refinable componentwise polynomials, Applied and Computational Harmonic Analysis, 22 (2007), 368-373. BiHanShen.pdf
      101. Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Zuowei Shen, A pair of orthogonal frames, Journal of Approximation Theory, 147 (2) (2007) 196-204. orth_frames.pdf
      102. Bin Dong, Zuowei Shen, Pseudo-splines, wavelets and framelets, Applied and Computational Harmonic Analysis, 22 (1) (2007), 78-104. pseudospline1.pdf
      103. Bin Dong, Zuowei Shen, Construction of biorthogonal wavelets from pseudo-splines, Journal of Approximation Theory, 138 (2) (2006) 211-231. pseudospline2.pdf
      104. Bin Dong, Zuowei Shen, Linear independence of pseudo-splines, Proceedings of the American Mathematical Society, 134(9) (2006) 2685-2694. pseudospline3.pdf
      105. Cho-Chun Cheng, Wen-Liang Hwang, Zuowei Shen, Tao Xia, Subjective and objective comparison of advanced motion compensation methods for block artifact reduction in a 3-D wavelet coding system, IEEE Transactions on Circuits and Systems for Video Technology, 16 (9) (2006), 1134-1141. 3D.pdf
      106. Say Song Goh, Zhi Yuan Lim, Zuowei Shen, Symmetric and antisymmetric tight wavelet frames, Applied and Computational Harmonic Analysis, 20(3) (2006), 411-421. symmetric.pdf
      107. Bin Han, Zuowei Shen, Wavelets with short support, SIAM Journal on Mathematical Analysis, 38(2) (2006), 530-556. s_wavelet.pdf
      108. Lixin Shen, Zuowei Shen, Compression with time-frequency localization filters, Wavelets and Splines, Athens, G.Chen, M. Lai eds, Nashboro Press, (2006) 428-443. compression.pdf
      109. Bin Han, Zuowei Shen, Wavelets from the Loop scheme, Journal of Fourier Analysis and Applications, 11(6) (2005), 615-637. loop.pdf
      110. Amos Ron, Zuowei Shen, Generalized shift invariant systems, Constructive Approximation, 22 (2005), 1-45. gs.pdf
      111. Cho-Chun Cheng, Wen-Liang Hwang, Zuowei Shen, Tao Xia, Advanced motion compensation techniques for blocking artifacts reduction in 3-D video coding systems, IEEE International Conference on Image Processing (ICIP), 209-212, Genova, Italy, Sept. 2005. chsx.pdf
      112. Raymond Chan, Zuowei Shen, Tao Xia, Resolution enhancement for video clips: tight frame approach, IEEE International Conference on Advanced Video and Signal-Based Surveillance, 406-410, Como, Italy, Sept. 2005. csx.pdf
      113. Cho-Chun Cheng, Wen-Liang Hwang, Zuowei Shen, Tao Xia, A hybrid motion compensated 3-D video coding system for blocking artifacts, Proceedings of Pacific Rim Conference on Multimedia, 535–546, Jeju, Korea, November 2005.
      114. Markus Hegland, Ole M. Nielsen, Zuowei Shen, Multidimensional smoothing using hyperbolic interpolatory wavelets, Electronic Transactions on Numerical Analysis, 17 (2004), 168-180. hns.pdf
      115. Raymond Chan, S. D. Riemenschneider, Lixin Shen, Zuowei Shen, Tight Frame: An efficient way for high-resolution image reconstruction, Applied and Computational Harmonic Analysis, 17 (2004), 91-115. crss1.pdf
      116. Raymond Chan, S.D. Riemenschneider, Lixin Shen, Zuowei Shen, High-resolution image reconstruction with displacement errors: a framelet approach, International Journal of Imaging System and Technology, 14 (2004), 91-104. crss2.pdf
      117. Raymond Chan, Tony Chan, Lixin Shen, Zuowei Shen, Wavelet algorithms for high-resolution image reconstruction, SIAM Journal on Scientific Computing, 24 (2003) 1408-1432. cs1.pdf
      118. Raymond Chan, Tony Chan, Lixin Shen, Zuowei Shen, Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction, Linear Algebra and Its Applications, 366 (2003) 139-155. cs2.pdf
      119. Ingrid Daubechies, Bin Han, Amos Ron, Zuowei Shen, Framelets:MRA-based constructions of wavelet frames, Applied and Computational Harmonic Analysis, 14 (2003), 1-46. dhrs.pdf
      120. Amos Ron, Zuowei Shen, The wavelet dimension function is the trace function of a shift invariant system, Proceedings of the American Mathematical Society, 131(5) (2003) 1385-1398. dim1.pdf
      121. Raymond Chan, Lixin Shen, Zuowei Shen, Restoring chopped and nodded images by tight frames, Proceedings to the SPIE Symposium on Advanced Signal Processing: Algorithms, Architectures, and Implementations, San Diego CA, F. Luk eds. Vol. 5205i, (2003) 310-319.
      122. Xuming He, Lixin Shen, Zuowei Shen, A data-adaptive knot selection scheme for fitting splines, IEEE Signal Processing Letters, 8(5) (2001) 137-139. PDF
      123. T. N. T. Goodman, C. A. Micchelli, Zuowei Shen, Riesz bases in subspaces of $L_2(R_+)$, Constructive Approximation, 17 (2001), 39-46. PDF
      124. Amos Ron, Zuowei Shen, Kim Chuan Toh, Computing the Sobolev regularity of refinable functions by Arnoldi method, SIAM Journal on Matrix Analysis and Applications, 23 (2001) 57-76. PDF
      125. Raymond Chan, Tony Chan, Lixin Shen, Zuowei Shen, A wavelet method for high-resolution image reconstruction with displacement errors, Proceedings of the 2001 International Symposium of Intelligent Multimedia, Video and Speech Processing, (2001) 24-27. cs3.pdf
      126. Amos Ron, Zuowei Shen, The Sobolev regularity of refinable functions, Journal of Approximation Theory, 106 (2000) 185-225. PDF
      127. Rong Qing Jia, Qingtang Jiang, Zuowei Shen, Convergence of cascade algorithms associated with nonhomogeneous refinement equations, Proceedings of the American Mathematical Society, 129 (2000), 415-427. PDF
      128. Rong Qing Jia, Qingtang Jiang, Zuowei Shen, Distributional solutions of nonhomogeneous discrete and continuous refinement equations, SIAM Journal on Mathematical Analysis, 32 (2000), 420-434. PDF
      129. S. D. Riemenschneider, Zuowei Shen, Interpolatory wavelet packets, Applied and Computational Harmonic Analysis, 8 (2000), 320-324. PDF
      130. Hui Ji, S. D. Riemenschneider, Zuowei Shen, Multivariate compactly supported fundamental refinable functions, duals and biorthogonal wavelets, Studies in Applied Mathematics,102 (1999), 173-204. PDF
      131. Hui Ji, Zuowei Shen, Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions, Advances in Computational Mathematics,11 (1999), 81-104. PDF
      132. Qingtang Jiang, Zuowei Shen, On the existence and weak stability of matrix refinable functions, Constructive Approximation, 15, (1999), 337-353. PDF
      133. S.D. Riemenschneider, Zuowei Shen, Construction of compactly supported biorthogonal wavelets in $L_2(R^d)$, Physics and modern topics in mechanical and electrical engineering, (1999) N. E. Mastorakis eds, World Scientific and Engineering Society Press, 201-206. PDF
      134. S.D. Riemenschneider, Zuowei Shen, Construction of compactly supported biorthogonal wavelets in $L_2(R^d)$ II, Wavelet applications signal and image Processing VII} Proceedings of SPIE Volume 3813, (1999), Michael A. Unser, Akram Aldroubi, and Andrew F. Lain eds, 264-272. PDF
      135. S.S. Goh, S.L. Lee, Zuowei Shen, W.S. Tang, Construction of Schauder decomposition on Banach spaces of periodic functions, Proceedings of the Edinburgh Mathematical Society, 41 (1998), 61-91.
      136. Zuowei Shen, Refinable function vectors, SIAM Journal on Mathematical Analysis, 29 (1998), 235-250. PDF
      137. W. Lawton, S.L. Lee, Zuowei Shen, Convergence of multidimensional cascade algorithm, Numerische Mathematik, 78 (1998) 3, 427-438. PDF
      138. Amos Ron, Zuowei Shen, Compactly supported tight affine spline frames in L2(Rd), Mathematics of Computation, 67 (1998), 191-207. PDF
      139. Amos Ron, Zuowei Shen, Construction of compactly supported affine frames in $L_2({\bf R^d})$, Advances in wavelets, Ka-Sing Lau eds, Springer-Verlag, (1998), 27-49. PDF
      140. Amos Ron, Zuowei Shen, Weyl-Heisenberg frames and Riesz bases in $L_2(R^d)$, Duke Mathematical Journal, 89 (1997), 237-282. PDF
      141. Amos Ron, Zuowei Shen, Affine systems in L2(Rd): the analysis of the analysis operator, Journal of Functional Analysis, 148 (1997), 408-447. PDF
      142. Amos Ron, Zuowei Shen, Affine systems in L2(Rd): dual systems, Journal of Fourier Analysis and Applications, 3 (1997), 617-637. PDF
      143. S. D. Riemenschneider and Zuowei Shen, Multidimensional interpolatory subdivision schemes, SIAM Journal on Numerical Analysis, 34 (1997), 2357-2381. PDF
      144. W. Lawton, S.L. Lee, Zuowei Shen, Stability and orthonormality of multivariate refinable functions, SIAM Journal on Mathematical Analysis,28, (1997), 999-1014. PDF
      145. Zuowei Shen, Extension of matrices with Laurent polynomial entries, Proceedings of the 15th IMACS World Congress on Scientific Computation Modeling and Applied Mathematics, Vol 1, Ashim Syclow eds., (1997), 57-61. PDF
      146. W. Lawton, S.L. Lee, Zuowei Shen, An algorithm for matrix extension and wavelet construction, Mathematics of Computation, 65(1996), 723-737. PDF
      147. Carl de Boor, Amos Ron, Zuowei Shen, On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators II, Advances in Mathematics, 123 (1996), 223-242. PDF
      148. Carl de Boor, Amos Ron, Zuowei Shen, On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators, Advances in Applied Mathematics, 17(1996), 209-250. PDF
      149. Amos Ron, Zuowei Shen, Frames and stable bases for shift invariant subspaces of L2(Rd), Canadian Journal of Mathematics, 47(1995), 1051-1094. PDF
      150. Zuowei Shen, Non-tensor product wavelet packets in L2( Rs), SIAM Journal on Mathematical Analysis, 26(1995), 1061-1074.
      151. Zuowei Shen, Y. Xu, Degenerate kernel schemes by wavelets for nonlinear integral equation on real line, Applicable Analysis, 59(1995), 163-184.
      152. W. Lawton, S.L. Lee, Zuowei Shen, Characterization of compactly supported refinable splines, Advances in Computational Mathematics, 3(1995), 137-145. PDF
      153. S. D. Riemenschneider, Zuowei Shen, Interpolation on the lattice hZs: Compactly supported fundamental solutions, Numerische Mathematik, 70(1995), 331-351. PDF
      154. S.S. Goh, S.L. Lee, Zuowei Shen, W.S. Tang, Multilevel projections on spaces of periodic functions, Proceedings of the Second Asian Mathematical Conference. S. Tangmanee and E Schulz eds, World Scientific Publishing, Singapore, (1995), 22-29.
      155. Amos Ron, Zuowei Shen, Gramian analysis of affine basis and affine frames, Approximation Theory VIII-Vol2, Wavelets and Multilevel Approximation, C. K. Chui and L. L. Schumaker editors, World Scientific Publishing, New Jersey, (1995), 375-382. PDF
      156. K. Jetter, S.D. Riemenschneider, Zuowei Shen, Hermite interpolation on the lattice Zd, SIAM Journal on Mathematical Analysis 25(1994), 962-975.
      157. Rong Qing Jia, Zuowei Shen, Multiresolution and wavelets, Proceedings of the Edinburgh Mathematical Society 37(1994), 271-300. PDF
      158. Rong Qing Jia, S.D. Riemenschneider, Zuowei Shen, Solvability of systems of linear operator equations, Proceedings of the American Mathematical Society 120(1994), 815-824.
      159. Amos Ron, Zuowei Shen, Frames and stable bases for subspaces of L2(Rd): the duality principle of Weyl-Heisenberg sets, Proceedings of the Lanczos Centenary Conference Raleigh, NC, M. Chu, R. Plemmons, D. Brown, and D. Ellison eds., SIAM Pub. (1993) 422-425. duality.pdf
      160. Rong Qing Jia, S. D. Riemenschneider, Zuowei Shen, Dimension of kernels of linear operators, American Journal of Mathematics 114(1992), 157-184.
      161. S. D. Riemenschneider, Zuowei Shen, Wavelets and pre-wavelets in low dimensions, Journal of Approximation Theory 71(1992), 18-38. PDF
      162. Zuowei Shen, Dimension of certain kernel spaces of linear operators, Proceedings of the American Mathematical Society 112(1991), 381-390.
      163. S. D. Riemenschneider, Zuowei Shen, Box splines, cardinal series, and wavelets, in Approximation Theory and Functional Analysis, C.K. Chui eds., Academic Press, New York, (1991), 133-149.
      164. Zuowei Shen, Birkhoff interpolation by Chebyshevian splines, Approximation Theory and its Applications 6(1990), 59-77.
      165. Rong Qing Jia, S.D. Riemenschneider, Zuowei Shen, Multivariate splines and dimensions of kernels of linear operators, in Multivariate Approximation and Interpolation, W. Haussman and K. Jetter eds., ISNM Vol. 94 , Birkhauser, Basel, (1990), 261-274.

Books and Special Issues Edited

    1. Gabor and Wavelet Frames, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, Vol 10, 2007, World Scientific (edited by Gay Say Song, Amos Ron and Zuowei Shen).
    2. Mathematics and Computation in Imaging Science and Information Processing, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, Vol 11, 2007, World Scientific (edited by Gay Say Song, Amos Ron and Zuowei Shen).
    3. Special Issues on Mathematical Imaging (I), Applied and Computational Harmonic Analysis, 23 (1), 2007 (edited by Raymond Chan, Tony Chan and Zuowei Shen).
    4. Special Issues on Mathematical Imaging (II), Applied and Computational Harmonic Analysis, 24 (2), 2008 (edited by Raymond Chan, Tony Chan and Zuowei Shen).