Prof CHUI, Charles
Research Professor
IEEE Life Fellow
Ph. D., University of Wisconsin, Madison
Honorary Doctorate, Technical University of Dortmund, Germany

charleschiu [at] hkbu.edu.hk
www.math.hkbu.edu.hk/~charleskchui/




Current Research Interests Mathematics of Computation and Data Science, Approximation Methods, Computational Harmonic Analysis, Signal and Image Processing, Inverse Problems

Selected Publications C. K. Chui, S. B. Lin, and D. X. Zhou. Deep neural networks for rotation-invariance approximation and learning. Analysis and Applications , Vol 17 (2019).
C. K. Chui, S. B. Lin, B. Zhang, and D. X. Zhou, Realization of spatial sparseness by deep ReLU nets with massive data. IEEE transactions on Neural Networks and Learning Systems, (2020), accepted for publication.
C. K. Chui, S. B. Lin, and D. X. Zhou. Deep net tree structure for balance of capacity and approximation ability. Frontiers in Applied Math. Statistics, Open Access Journal (2020).
C.K. Chui and H.N. Mhaskar, A unified method for super-resolution recovery and real exponential-sum separation. Applied and Computational Harmonic Analysis, Vol. 46 (2019), 431 - 451.
C.K. Chui, S.B. Lin, and D.X. Zhou, Construction of neural networks for realization of localized deep learning. Frontiers in Applied Math and Statistics, May 17, 2018. (https://doi.org/10.3389/fams.2018.00014).
C. K. Chui and H. N. Mhaskar, Deep nets for manifold learning. Frontiers in Applied Math and Statistics, May 29, 2018. (https://doi.org/10.3389/fams.2018.00012).
C.K. Chui and H.N. Mhaskar, A Fourier-invariant method for locating point-masses and computing their attributes. Applied and Computational Harmonic Analysis, Vol. 45 (2018), 436 - 452.
C. K. Chui, H. N. Mhaskar, and X. S. Zhuang, Representation of functions on big data associated with directed graphs. Applied and Computational Harmonic Analysis, Vol. 44 (2018), 165 – 188.
C. K. Chui, J. De Villiers, and X. S. Zhuang, Multirate systems with shortest spline-waveletfilters. Applied and Computational Harmonic Analysis, Vol. 41 (2016), 266-296.
C. K. Chui and H. N. Mhaskar, Signal decomposition and analysis via extraction offrequencies. Applied and Computational Harmonic Analysis, Vol. 40 (2016), 97-136.