Yang WANG
汪揚
PhD in Mathematics
Harvard University, 1990

Vice-President for Institutional Advancement

Chair Professor
Department of Industrial Engineering and Decision Analytics
Department of Mathematics

Director of HKUST The Big Data for Bio Intelligence Laboratory

Associate Director of HKUST Big Data Institute



(852) 2358 5956
yangwang@ust.hk
Room 6358
Personal Web

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ORCID
0000-0002-8903-2388

Scopus ID
54934443300




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Fractal geometry
Wavelets and frames
Signal processing
Data analysis using machine learning
Wavelets and analysis



Publications

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All Years 141 2022 1 2021 4 2020 5 2019 10 2018 6 2017 6 2016 109

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2022 1

On the Capacity of Deep Generative Networks for Approximating Distributions
Neural Networks, v. 145, January 2022, p. 144-154
Yang, Yunfei; Li, Zhen; Wang, Yang Article

2021 4

Almost everywhere generalized phase retrieval
Applied and Computational Harmonic Analysis, v. 50, January 2021, p. 16-33
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang Article
Overlapping domain decomposition methods for ptychographic imaging
SIAM Journal on Scientific Computing, v. 43, (3), May 2021, p. B570-B597
Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong Article
Phase retrieval for sub-Gaussian measurements
Applied and Computational Harmonic Analysis, v. 53, July 2021, p. 95-115
Gao, Bing; Liu, Haixia; Wang, Yang Article
Optimal ? ¹ Rank One Matrix Decomposition
Harmonic Analysis and Applications /Edited by Michael Th. Rassias. Switzerland : Springer, Cham, 2021, p. 21-41, Book series: Springer Optimization and Its Applications, v. 168
Balan, Radu; Okoudjou, Kasso A.; Rawson, Michael; Wang, Yang; Zhang, Rui Book chapter

2020 5

Dissecting a square into congruent polygons
Discrete Mathematics and Theoretical Computer Science, v. 22, (1), 2020, article number 21
Rao, Hui; Ren, Lei; Wang, Yang Article
High-dimensional sparse Fourier algorithms
Numerical Algorithms, v. 87, (1), May 2021, p. 161-186
Choi, Bosu; Christlieb, Andrew; Wang, Yang Article
Perturbed Amplitude Flow for Phase Retrieval
IEEE Transactions on Signal Processing, v. 68, September 2020, article number 9187891, p. 5427-5440
Gao, Bing; Sun, Xinwei; Wang, Yang; Xu, Zhiqiang Article
Variational Single Image Dehazing for Enhanced Visualization
IEEE Transactions on Multimedia, v. 22, (10), October 2020, article number 8930996, p. 2537-2550
Fang, Faming; Wang, Tingting; Wang, Yang; Zeng, Tieyong; Zhang, Guixu Article
Learning Hybrid Representations for Automatic 3D Vessel Centerline Extraction
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 12266 LNCS, 2020, p. 24-34
He, Jiafa; Pan, Chengwei; Yang, Can; Zhang, Ming; Wang, Yang; Zhou, Xiaowei; Yu, Yizhou Conference paper

2019 10

Almost everywhere injectivity conditions for the matrix recovery problem
Applied and Computational Harmonic Analysis, v. 50, January 2021, p. 386-400
Rong, Yi; Wang, Yang; Xu, Zhiqiang Article
Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval
Journal of Scientific Computing, v. 79, (1), April 2019, p. 128-147
Cai, Jian-Feng; Liu, Haixia; Wang, Yang Article
Generalized Phase Retrieval: Measurement Number, Matrix Recovery and Beyond
Applied and Computational Harmonic Analysis, v. 47, (2), September 2019, p. 423-446
Wang, Yang; Xu, Zhiqiang Article
An Iteration Method for X-Ray CT Reconstruction from Variable-Truncation Projection Data
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 11603 LNCS, 2019, p. 144-155
Huo, Limei; Luo, Shousheng; Dong, Yiqiu; Tai, Xuecheng; Wang, Yang Conference paper
Convex Shape Prior for Multi-Object Segmentation Using a Single Level Set Function
Proceedings: 2019 International Conference on Computer Vision, ICCV 2019 / IEEE. Piscataway, NJ : IEEE, 2019, p. 613-621
Luo, Shousheng; Tai, Xue Cheng; Huo, Limei; Wang, Yang; Glowinski, Roland Conference paper
Data-driven method for 3D axis-symmetric object reconstruction from single cone-beam projection data
ISICDM 2019: Proceedings of the Third International Symposium on Image Computing and Digital Medicine, August 2019, p. 288-292, ACM International Conference Proceeding Series
Luo, Shousheng; Meng, Ruyue; Wei, Suhua; Cai, Jianfeng; Tai, Xuecheng; Wang, Yang Conference paper
Data-driven tight frame for Cryo-EM image denoising and conformational classification
2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings, February 2019, article number 8646614, p. 544-548
Xian, Yin; Gu, Hanlin; Wang, Wei; Huang, Xuhui; Yao, Yuan; Wang, Yang; Cai, Jianfeng Conference paper
Deep Generative Learning via Variational Gradient Flow
Proceedings of Machine Learning Research, v. 97, 2019, p. 2093-2101
Gao, Yuan; Jiao, Yuling; Wang, Yang; Yang, Can; Zhang, Shunkang Conference paper
Deep Generative Learning via Variational Gradient Flow
36th International Conference on Machine Learning, ICML 2019, (Part 6), 2019, p. 3661-3669
Gao, Yuan; Jiao, Yuling; Wang, Yang; Wang, Yao; Yang, Can; Zhang, Shunkang Conference paper
Low-dose X-ray computed tomography image reconstruction using edge sparsity regularization
ISICDM 2019: Proceedings of the Third International Symposium on Image Computing and Digital Medicine, August 2019, p. 303-307, ACM International Conference Proceeding Series
Luo, Shousheng; Kang, Keke; Wang, Yang; Tai, Xuecheng Conference paper

2018 6

Data recovery on a manifold from linear samples: theory and computation
Annals of Mathematical Sciences and Applications, v. 3, (1), March 2018, p. 337-365
Cai, Jianfeng; Rong, Yi; Wang, Yang; Xu, Zhiqiang Article
Newman Cyclotomic Polynomials, Refinable Splines and the Euler Binary Partition Function
Sbornik Mathematics, v. 209, (12), December 2018, p. 1783-1802
Protasov, V. Yu; Wang, Yang Article
Phase Retrieval from the Magnitudes of Affine Linear Measurements
Advances in Applied Mathematics, v. 93, February 2018, p. 121-141
Gao, Bing; Sun, Qiyu; Wang, Yang; Xu, Zhiqiang Article
Random Matrices and Erasure Robust Frames
Journal of Fourier Analysis and Applications, v. 24, (1), February 2018, p. 1-16
Wang, Yang Article
Scattering Transform and Sparse Linear Classifiers for Art Authentication
Signal Processing, v. 150, September 2018, p. 11-19
Leonarduzzi, Roberto Fabio; Liu, Haixia; Wang, Yang Article
Synchronized Recovery Method for Multi-Rank Symmetric Tensor Decomposition
Imaging, Vision and Learning Based on Optimization and PDEs. IVLOPDE 2016. / Edited by Xue-Cheng Tai, Egil Bae, and Marius Lysaker. Switzerland : Springer International Publishing, 2018, p. 241-251, Book Series: Mathematics and Visualization
Liu, Haixia; Miao, Lizhang; Wang, Yang Conference paper

2017 6

Efficient Estimation of Regularization Parameters via Downsampling and the Singular Value Expansion
BIT Numerical Mathematics, v. 57, (2), June 2017, p. 499-529
Renaut, Rosemary A.; Horst, Michael; Wang, Yang; Cochran, Douglas; Hansen, Jakob Article
Robust Sparse Phase Retrieval Made Easy
Applied and Computational Harmonic Analysis, v. 42, (1), January 2017, p. 135-142
Iwen, Mark; Viswanathan, Aditya; Wang, Yang Article
Subspace clustering by (k,k)-sparse matrix factorization
Inverse Problems and Imaging, v. 11, (3), June 2017, p. 539-551
Liu, Haixia; Cai, Jianfeng; Wang, Yang Article
Topological Invariants and Lipschitz Equivalence of Fractal Squares
Journal of Mathematical Analysis and Applications, v. 451, (1), July 2017, p. 327-344
Ruan, Huo-Jun; Wang, Yang Article
A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging
Frames and Other Bases in Abstract and Function Spaces: Novel Methods in Harmonic Analysis, Volume 1 / Edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou. Switzerland : Springer, 2017, p. 185-213, Book series: Applied and Numerical Harmonic Analysis
Benedetto, John J.; Nava-Tudela, Alfredo; Powell, Alexander M.; Wang, Yang Book chapter
Fourier bases and Fourier frames on self-affine measures
Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields III,?le de Porquerolles, France, 2015 / Edited by Julien Barral and Stéphane Seuret. Switzerland : Birkh?user, Springer, 2015, p. 87-111, Book Series: Trends in Mathematics
Dutkay, Dorin Ervin; Lai, Chun Kit; Wang, Yang Conference paper

2016 5

A multiscale sub-linear time Fourier algorithm for noisy data
Applied and Computational Harmonic Analysis, v. 40, (3), May 2016, p. 553-574
Christlieb, Andrew; Lawlor, David; Wang, Yang Article
Fast Phase Retrieval from Local Correlation Measurements
SIAM Journal on Imaging Sciences, v. 9, (4), 2016, p. 1655-1688
Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang Article
On the decay of the smallest singular value of submatrices of rectangular matrices
Asian-European Journal of Mathematics, v. 9, (4), December 2016, article number 1650075
Liu, Yang; Wang, Yang Article
Stable Signal Recovery from Phaseless Measurements
Journal of Fourier Analysis and Applications, v. 22, (4), August 2016, p. 787-808
Gao, Bing; Wang, Yang; Xu, Zhiqiang Article
Stylometry and mathematical study of authorship
New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis / Edited by Akram Aldroubi, Carlos Cabrelli, Stephane Jaffard, and Ursula Molter. Switzerland : Springer, 2016, p. 281-300, Book series: New Trends in Applied Harmonic Analysis
Hu, Xianfeng; Wang, Yang; Wu, Qiang Book chapter

2015 3

Gabor orthonormal bases generated by the unit cubes
Journal of Functional Analysis, v. 269, (5), September 2015, p. 1515-1538
Gabardo, Jean-Pierre; Lai, Chun Kit; Wang, Yang Article
Self-similar subsets of the Cantor set
Advances in Mathematics, v. 281, August 2015, p. 857-885
Feng, Dejun; Rao, Hui; Wang, Yang Article
Tiling Z² by a Set of Four Elements
Fractal Geometry and Stochastics V / Edited by Christoph Bandt, Kenneth Falconer and Martina Z?hle. Switzerland : Birkh?user, Springer, 2015, p. 93-103, Book Series: Progress in Probability vol 70
Feng, De-Jun; Wang, Yang Conference paper

2014 4

Lipschitz equivalence of self-similar sets with touching structures
Nonlinearity, v. 27, (6), May 2014, p. 1299-1321
Ruan, Huojun; Wang, Yang; Xi, Lifeng Article
Phase retrieval for sparse signals
Applied and Computational Harmonic Analysis, v. 37, (3), November 2014, p. 531-544
Wang, Yang; Xu, Zhiqiang Article
Phase retrieval from very few measurements
Linear Algebra and Its Applications, v. 449, May 2014, p. 475-499
Fickus, Matthew C.; Mixon, Dustin G.; Nelson, Aaron A.; Wang, Yang Article
Non-stationary noise estimation using dictionary learning and Gaussian mixture models
Proceedings of SPIE - The International Society for Optical Engineering, v. 9019, February 2014, article number 90190L
Hughes, James M.; Rockmore, Daniel N.; Wang, Yang Conference paper

2013 11

Adaptive sub-linear time Fourier algorithms
Advances in Adaptive Data Analysis, v. 5, (1), January 2013
Lawlor, David; Wang, Yang; Christlieb, Andrew Article
Bayesian learning of sparse multiscale image representations
IEEE Transactions on Image Processing, v. 22, (12), 2013, article number 6587829, p. 4972-4983
Hughes, James Michael; Rockmore, Daniel N.; Wang, Yang Article
Edge detection from truncated Fourier data using spectral mollifiers
Advances in Computational Mathematics, v. 38, (4), May 2013, p. 737-762
Cochran, Doug; Gelb, Anne; Wang, Yang Article
Invertibility and robustness of phaseless reconstruction
Applied and Computational Harmonic Analysis, v. 38, (3), May 2015, p. 469-488
Bǎlan, Radu V.; Wang, Yang Article
Necessary and sufficient conditions to perform Spectral Tetris
Linear Algebra and Its Applications, v. 438, (5), March 2013, p. 2239-2255
Casazza, Peter G.; Heinecke, Andreas M.; Kornelson, Keri A.; Wang, Yang; Zhou, Zhengfang Article
Phase aliasing correction for robust blind source separation using DUET
Applied and Computational Harmonic Analysis, v. 35, (2), September 2013, p. 341-349
Wang, Yang; Y?lmaz, ?zgür; Zhou, Zhengfang Article
Source extraction in audio via background learning
Inverse Problems and Imaging, v. 7, (1), 2013, p. 283-290
Wang, Yang; Zhou, Zhengfang Article
The regularity of refinable functions
Applied and Computational Harmonic Analysis, v. 34, (1), January 2013, p. 142-147
Wang, Yang; Xu, Zhiqiang Article
Vakman's problem and the extension of Hilbert transform
Applied and Computational Harmonic Analysis, v. 34, (2), March 2013, p. 308-316
Huang, Jianfeng; Wang, Yang; Yang, Lihua Article
On the convergence of iterative filtering empirical mode decomposition
Excursions in Harmonic Analysis, Volume 2: The February Fourier Talks at the Norbert Wiener Center / Edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, and Kasso A. Okoudjou. New York : Springer, 2013, p. 157-172, Book series: Applied and Numerical Harmonic Analysis
Wang, Yang; Zhou, Zhengfang Book chapter
Speeding up scientific imaging workflows: Design of automated image annotation tool
2013 1st IEEE Workshop on User-Centered Computer Vision, UCCV 2013 / IEEE. New York, NY, USA : IEEE, 2013, p. 13-18, Article no.: 6530801
Colbry, Dirk; Dyer, Fred C.; Dworkin, Ian Michael; Wang, Yang; Wang, Lifeng Conference paper

2012 11

A Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows
Journal of Fourier Analysis and Applications, v. 18, (2), April 2012, p. 223-239
Pfander, G?tz E.; Rashkov, Peter; Wang, Yang Article
Coarse quantization for random interleaved sampling of bandlimited signals
Esaim. Mathematical Modelling And Numerical Analysis, v. 46, (3), May 2012, p. 605-618
Powell, Alexander M.; Tanner, Jared; Wang, Yang; Y?lmaz, ?zgür Article
Empirical mode decomposition analysis for visual stylometry
IEEE Transactions on Pattern Analysis and Machine Intelligence, v. 34, (11), November 2012, article number 6127875, p. 2147-2157
Hughes, James Michael; Mao, Dong; Rockmore, Daniel N.; Wang, Yang; Wu, Qiang Article
Iterative Filtering Decomposition Based on Local Spectral Evolution Kernel
Journal of Scientific Computing, v. 50, (3), March 2012, p. 629-664
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
Transactions of the American Mathematical Society, v. 364, (3), March 2012, article number PII S053274, p. 1109-1126
Rao, Hui; Ruan, Huojun; Wang, Yang Article
Mathematical methods for images and surfaces 2011
International Journal of Biomedical Imaging,, v. 2012, March 2012, article number 419647
Guo, Weihong; Udpa, Lalita; Wang, Yang; Wei, Guowei; Zhao, Shan Article
Mode Decomposition Evolution Equations
Journal of Scientific Computing, v. 50, (3), March 2012, p. 495-518
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Selective extraction of entangled textures via adaptive PDE transform
International Journal of Biomedical Imaging, v. 2012, January 2012, article number 958142
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Sparse PCA by iterative elimination algorithm
Advances in Computational Mathematics, v. 36, (1), January 2012, p. 137-151
Wang, Yang; Wu, Qiang Article
Spectral Tetris Fusion Frame Constructions
Journal of Fourier Analysis and Applications, v. 18, (4), August 2012, p. 828-851
Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang Article
The performance of PCM quantization under tight frame representations
SIAM Journal on Mathematical Analysis, v. 44, (4), August 2012, p. 2802-2823
Wang, Yang; Xu, Zhiqiang Article

2011 4

Constructing tight fusion frames
Applied and Computational Harmonic Analysis, v. 30, (2), March 2011, p. 175-187
Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang Article
Partial differential equation transform: Variational formulation and Fourier analysis
International Journal for Numerical Methods in Biomedical Engineering, v. 27, (12), December 2011, p. 1996-2020
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Reconstruction from irregular Fourier samples and Gaussian spectral mollifiers
Far East Journal of Applied Mathematics, v. 53, (2), April 2011, p. 109-121
Wang, Long; Wang, Yang Article
Spectral tetris fusion frame constructions
Proceedings of SPIE - The International Society for Optical Engineering, v. 8138, 2011, article number 813816
Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang Conference paper

2010 4

Classification of Refinable Splines in ?d
Constructive Approximation, v. 31, (3), June 2010, p. 343-358
Dai, Xinrong; Wang, Yang Article
Mathematical methods for images and surfaces
International Journal of Biomedical Imaging, v. 2010, March 2010, article number 918467
Wei, Guowei; Udpa, Lalita; Wang, Yang; Zhao, Shan Article
Modeling and simulation of the horizontal component of the geomagnetic field by fractional stochastic differential equations in conjunction with empirical mode decomposition
Journal of Geophysical Research: Space Physics, v. 115, (10), October 2010, article number A10219
Yu, Zuguo; Anh, Vo V.; Wang, Yang; Mao, Dong; Wanliss, James A. Article
The golden ratio encoder
IEEE Transactions on Information Theory, v. 56, (10), October 2010, article number 5571869, p. 5097-5110
Daubechies, Ingrid C.; Güntürk, C. Sinan; Wang, Yang; Y?lmaz, ?zgür Article

2009 7

Convergence of a convolution-filtering-based algorithm for empirical mode decomposition
Advances in Adaptive Data Analysis, v. 1, (4), October 2009, p. 561-571
Huang, Chao; Yang, Lihua; Wang, Yang Article
Iterative filtering as an alternative algorithm for empirical mode decomposition
Advances in Adaptive Data Analysis, v. 1, (4), October 2009, p. 543-560
Lin, Luan; Wang, Yang; Zhou, Haomin Article
Lattice quantization error for redundant representations
Applied and Computational Harmonic Analysis, v. 27, (3), November 2009, p. 334-341
Borodachov, Sergiy V.; Wang, Yang Article
On the structures of generating iterated function systems of Cantor sets
Advances in Mathematics, v. 222, (6), December 2009, p. 1964-1981
Feng, Dejun; Wang, Yang Article
The β α-Encoders for robust A/D conversion
Acta Applicandae Mathematicae, v. 107, (1-3), July 2009, p. 313-323
Jiménez, David; Wang, Yang Article
Constructions and existence of tight fusion frames
Proceedings of SPIE, v. 7446, 2009, article number 744613, Wavelets XIII
Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang Conference paper
Lattice quantization error for redundant representations
Proceedings of SPIE, v. 7446, 2009, article number 74460N, Wavelets XIII
Borodachov, Sergiy V.; Wang, Yang Conference paper

2008 3

Sigma-delta quantization errors and the traveling salesman problem
Advances in Computational Mathematics, v. 28, (2), February 2008, p. 101-118
Wang, Yang Article
Asymptotic white noise hypothesis for PCM quantization
CISS 2008, The 42nd Annual Conference on Information Sciences and Systems / IEEE. New York, NY, USA : IEEE, 2008, p. 733-736, Article no.: 4558618
Borodachov, Sergiy V.; Wang, Yang Conference paper
Multifractal analysis and authentication of Jackson Pollock paintings
Proceedings of SPIE - The International Society for Optical Engineering, v. 6810, 2008, article number 68100F
Coddington, Jim; Elton, John H.; Rockmore, Daniel N.; Wang, Yang Conference paper

2007 5

On Refinable Sets
Methods and Applications of Analysis, v. 14, (2), June 2007, p. 165-178
Dai, Xinrong; Wang, Yang Article
Refinable functions with non-integer dilations
Journal of Functional Analysis, v. 250, (1), September 2007, p. 1`-20
Dai, Xinrong; Feng, Dejun; Wang, Yang Article
Structure of refinable splines
Applied and Computational Harmonic Analysis, v. 22, (3), May 2007, p. 374-381
Dai, Xinrong; Feng, Dejun; Wang, Yang Article
White noise hypothesis for uniform quantization errors
SIAM Journal on Mathematical Analysis, v. 38, (6), April 2007, p. 2042-2056
Jiménez, David; Wang, Long; Wang, Yang Article
βα-Encoders for A/D conversion
Proceedings of SPIE - The International Society for Optical Engineering, v. 6701, 2007, article number 670107
Jiménez, David; Wang, Yang Conference paper

2006 5

Classification of refinable splines
Constructive Approximation, v. 24, (2), September 2006, p. 187-200
Dai, Xinrong; Feng, Dejun; Wang, Yang Article
Generation of finite tight frames by Householder transformations
Advances in Computational Mathematics, v. 24, (1-4), January 2006, p. 297-309
Feng, Dejun; Wang, Long; Wang, Yang Article
Simultaneous translational and multiplicative tiling and wavelet sets in ?2
Indiana University Mathematics Journal, v. 55, (6), 2006, p. 1935-1950
Iona?cu, Eugen J.; Wang, Yang Article
Some properties of spectral measures
Applied and Computational Harmonic Analysis, v. 20, (1), January 2006, p. 149-157
?aba, Izabella; Wang, Yang Article
Total variation wavelet-based medical image denoising
International Journal of Biomedical Imaging, v. 2006, August 2006, article number 089095
Wang, Yang; Zhou, Haomin Article

2005 3

A class of self-affine sets and self-affine measures
Journal of Fourier Analysis and Applications, v. 11, (1), February 2005, p. 107-124
Feng, Dejun; Wang, Yang Article
Absolute continuity of self-similar measures and Bernoulli convolutions
Asian Journal of Mathematics, v. 9, (2), 2005, p. 224-227
Ngai, Sze Man; Wang, Yang Article
Self-similar measures associated to IFS with non-uniform contraction ratios
The Asian Journal of Mathematics, v. 9, (2), June 2005, p. 227-244
Ngai, Sze Man; Wang, Yang Article

2004 4

Bernoulli convolutions associated with certain non-Pisot numbers
Advances in Mathematics, v. 187, (1), September 2004, p. 173-194
Feng, Dejun; Wang, Yang Article
Quantum integers and cyclotomy
Journal of Number Theory, v. 109, (1), November 2004, p. 120-135
Borisov, Alexander O.; Nathanson, Melvyn B.; Wang, Yang Article
Sparse complete Gabor systems on a lattice
Applied and Computational Harmonic Analysis, v. 16, (1), January 2004, p. 60-67
Wang, Yang Article
The existence of Gabor bases and frames
Contemporary Math., v. 345, 2004, special issue, p. 183-192
Han, Deguang; Wang, Yang Article

2003 2

Substitution Delone Sets
Discrete & Computational Geometry, v. 29, (2), March 2003, p. 175-209
Lagarias, Jeffrey C.; Wang, Yang Article
The uniformity of non-uniform Gabor bases
Advances in Computational Mathematics, v. 18, (2-4), February 2003, p. 345-355
Liu, Youming; Wang, Yang Article

2002 3

On spectral Cantor measures
Journal of functional analysis, v. 193, (2), 2002, p. 409-420
?aba, Izabella; Wang, Yang Article
Self-affine Tiling via Substitution Dynamical Systems and Rauzy Fractals
Pacific Journal of Mathematics, v. 206, (2), October 2002, p. 465-485
Sirvent, Víctor F.; Wang, Yang Article
Wavelets, tiling, and spectral sets
Duke Mathematical Journal, v. 114, (1), July 2002, p. 43-57
Wang, Yang Article

2001 6

Disk-like self-affine tiles in ?2
Discrete & Computational Geometry, v. 26, (4), December 2001, p. 591-601
Bandt, Christoph; Wang, Yang Article
Hausdorff dimension of self-similar sets with overlaps
Journal of the London Mathematical Society, v. 63, (3), June 2001, p. 655-672
Ngai, Sze Man; Wang, Yang Article
Lattice tiling and the Weyl-Heisenberg frames
Geometric and Functional Analysis, v. 11, (4), November 2001, p. 742-758
Han, Deguang; Wang, Yang Article
On the number of Daubechies scaling functions and a conjecture of Chyzak et al.
Experimental Mathematics, v. 10, (1), 2001, p. 87-89
Wang, Yang Article
Subdivision schemes and refinement equations with nonnegative masks
Journal of Approximation Theory, v. 113, (2), December 2001, p. 207-220
Wang, Yang Article
Universal spectra, universal tiling sets and the spectral set conjecture
Mathematica Scandinavica, v. 88, (2), June 2001, p. 246-256
Pedersen, Steen; Wang, Yang Article

2000 3

On 2-Reptiles in the Plane
Geometriae dedicata, v. 82, (1-3), October 2000, p. 325-344
Ngai, Sze Man; Sirvent, Víctor F.; Veerman, J.J.P.; Wang, Yang Article
Orthogonality criteria for compactly supported refinable functions and refinable function vectors
Journal of Fourier Analysis and Applications, v. 6, (2), March 2000, p. 153-170
Lagarias, Jeffrey C.; Wang, Yang Article
Orthonormal bases of exponentials for the n-cube
Duke Mathematical Journal, v. 103, (1), May 2000, p. 25-37
Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang Article

1999 7

Arbitrarily smooth orthogonal nonseparable wavelets in ?2
SIAM Journal on Mathematical Analysis, v. 30, (3), March/April 1999, p. 678-697
Belogay, Eugene; Wang, Yang Article
Compactly supported orthogonal symmetric scaling functions
Applied and Computational Harmonic Analysis, v. 7, (2), September 1999, p. 137-150
Belogay, Eugene; Wang, Yang Article
Geometry of Self-Affine Tiles I
Indiana University Mathematics Journal, v. 48, (1), Spring 1999, p. 1-23
Strichartz, Robert S.; Wang, Yang Article
Geometry of Self-Affine Tiles II
Indiana University Mathematics Journal, v. 48, (1), March 1999, p. 25-42
Kenyon, Richard W.; Li, Jie; Strichartz, Robert S.; Wang, Yang Article
Haar bases for L²(?ⁿ) and algebraic number theory
Journal of Number Theory, v. 76, (2), June 1999, p. 330-336
Lagarias, Jeffrey C.; Wang, Yang Article
Haar-type multiwavelet bases and self-affine multi-tiles
Asian Journal of Mathematics, v. 3, (2), January 1999, p. 387-400
Flaherty, Tim; Wang, Yang Article
Self-affine tiles
Advances in Wavelets / edited by Ka-Sing Lau. 1st ed., Springer, 1999, p. 261-285
Wang, Yang Book chapter

1998 1

On the use of high-order ambiguity function for multi-component polynomial phase signals
Signal Processing, v. 65, (2), March 1998, p. 283-296
Wang, Yang; Zhou, Guotong Article

1997 4

Exploring lag diversity in the high-order ambiguity function for polynomial phase signals
IEEE Signal Processing Letters, v. 4, (8), August 1997, p. 240-242
Zhou, Guotong; Wang, Yang Article
Integral self-affine tiles in ?ⁿ part II: Lattice tilings
Journal of Fourier Analysis and Applications, v. 3, (1), Jamuary 1997, p. 83-102
Lagarias, Jeffrey C.; Wang, Yang Article
Spectral sets and factorizations of finite Abelian groups
Journal of Functional Analysis, v. 145, (1), April 1997, p. 73-98
Lagarias, Jeffrey C.; Wang, Yang Article
On the use of high order ambiguity function for multicomponent polynomial phase signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v. 5, 1997, p. 3629-3632
Wang, Yang; Zhou, Guotong Conference paper

1996 6

Haar bases for L²(?ⁿ) and algebraic number theory
Journal of Number Theory, v. 57, (1), March 1996, article number 0042, p. 181-197
Lagarias, Jeffrey C.; Wang, Yang Article
Integral Self-Affine Tiles in ?ⁿ I. Standard and Nonstandard Digit Sets
Journal of the London Mathematical Society, v. 54, (1), August 1996, p. 161-179
Lagarias, Jeffrey C.; Wang, Yang Article
Nonnegative radix representations for the orthant R₊ⁿ
Transactions of the American Mathematical Society, v. 348, (1), January 1996, p. 99-117
Lagarias, Jeffrey C.; Wang, Yang Article
Self-affine tiles in ?ⁿ
Advances in Mathematics, v. 121, (1), July 1996, p. 21-49
Lagarias, Jeffrey C.; Wang, Yang Article
Tiling the line with translates of one tile
Inventiones Mathematicae, v. 124, (1-3), February 1996, p. 341-365
Lagarias, Jeffrey C.; Wang, Yang Article
Two-scale dilation equations and the mean spectral radius
Random and Computational Dynamics, v. 4, 1996, p. 49-72
Wang, Yang Article

1995 4

Existence and Regularity of Solutions to a Variational Problem of Mumford and Shah: A Constructive Approach
SIAM Journal on Optimization, v. 5, (4), November 1995, p. 892-913
Wang, Yang Article
Haar Type Orthonormal Wavelet Bases in R²
Journal of Fourier Analysis and Applications, v. 2, (1), February 1995, p. 1-14
Lagarias, Jeffrey C.; Wang, Yang Article
The finiteness conjecture for the generalized spectral radius of a set of matrices
Linear Algebra and its Applications, v. 214, (C), January 1995, p. 17-42
Lagarias, Jeffrey C.; Wang, Yang Article
Two-scale dilation equations and the cascade algorithm
Random and Computational Dynamics, v. 3, 1995, p. 289-309
Wang, Yang Article

1993 1

Nonexistence of Brownian models for certain multiclass queueing networks
Queueing Systems: Theory and Applications, v. 13, (1-3), March 1993, p. 41-46
Dai, Jim; Wang, Yang Article

1992 2

Bounded semigroups of matrices
Linear Algebra and its Applications, v. 166, (C), March 1992, p. 21-27
Berger, Marc A.; Wang, Yang Article
Multidimensional two-scale dilation equations
Wavelets: a tutorial in theory and applications / edited by Charles K. Chui. Boston : Academic Press, 1992, p. 295-325
Wang, Yang; Berger, Marc A. Book chapter

1982 1

On the order and number of zero divisors of a finite ring
Journal of University of Science and Technology of China, September 1982, p. 140-142
Wang, Yang Article


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Article 1

On the Capacity of Deep Generative Networks for Approximating Distributions
Neural Networks, v. 145, January 2022, p. 144-154
Yang, Yunfei; Li, Zhen; Wang, Yang


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Article 3

Almost everywhere generalized phase retrieval
Applied and Computational Harmonic Analysis, v. 50, January 2021, p. 16-33
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
Overlapping domain decomposition methods for ptychographic imaging
SIAM Journal on Scientific Computing, v. 43, (3), May 2021, p. B570-B597
Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong
Phase retrieval for sub-Gaussian measurements
Applied and Computational Harmonic Analysis, v. 53, July 2021, p. 95-115
Gao, Bing; Liu, Haixia; Wang, Yang

Book chapter 1

Optimal ? ¹ Rank One Matrix Decomposition
Harmonic Analysis and Applications /Edited by Michael Th. Rassias. Switzerland : Springer, Cham, 2021, p. 21-41, Book series: Springer Optimization and Its Applications, v. 168
Balan, Radu; Okoudjou, Kasso A.; Rawson, Michael; Wang, Yang; Zhang, Rui


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Article 4

Dissecting a square into congruent polygons
Discrete Mathematics and Theoretical Computer Science, v. 22, (1), 2020, article number 21
Rao, Hui; Ren, Lei; Wang, Yang
High-dimensional sparse Fourier algorithms
Numerical Algorithms, v. 87, (1), May 2021, p. 161-186
Choi, Bosu; Christlieb, Andrew; Wang, Yang
Perturbed Amplitude Flow for Phase Retrieval
IEEE Transactions on Signal Processing, v. 68, September 2020, article number 9187891, p. 5427-5440
Gao, Bing; Sun, Xinwei; Wang, Yang; Xu, Zhiqiang
Variational Single Image Dehazing for Enhanced Visualization
IEEE Transactions on Multimedia, v. 22, (10), October 2020, article number 8930996, p. 2537-2550
Fang, Faming; Wang, Tingting; Wang, Yang; Zeng, Tieyong; Zhang, Guixu

Conference paper 1

Learning Hybrid Representations for Automatic 3D Vessel Centerline Extraction
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 12266 LNCS, 2020, p. 24-34
He, Jiafa; Pan, Chengwei; Yang, Can; Zhang, Ming; Wang, Yang; Zhou, Xiaowei; Yu, Yizhou


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Article 3

Almost everywhere injectivity conditions for the matrix recovery problem
Applied and Computational Harmonic Analysis, v. 50, January 2021, p. 386-400
Rong, Yi; Wang, Yang; Xu, Zhiqiang
Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval
Journal of Scientific Computing, v. 79, (1), April 2019, p. 128-147
Cai, Jian-Feng; Liu, Haixia; Wang, Yang
Generalized Phase Retrieval: Measurement Number, Matrix Recovery and Beyond
Applied and Computational Harmonic Analysis, v. 47, (2), September 2019, p. 423-446
Wang, Yang; Xu, Zhiqiang

Conference paper 7

An Iteration Method for X-Ray CT Reconstruction from Variable-Truncation Projection Data
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 11603 LNCS, 2019, p. 144-155
Huo, Limei; Luo, Shousheng; Dong, Yiqiu; Tai, Xuecheng; Wang, Yang
Convex Shape Prior for Multi-Object Segmentation Using a Single Level Set Function
Proceedings: 2019 International Conference on Computer Vision, ICCV 2019 / IEEE. Piscataway, NJ : IEEE, 2019, p. 613-621
Luo, Shousheng; Tai, Xue Cheng; Huo, Limei; Wang, Yang; Glowinski, Roland
Data-driven method for 3D axis-symmetric object reconstruction from single cone-beam projection data
ISICDM 2019: Proceedings of the Third International Symposium on Image Computing and Digital Medicine, August 2019, p. 288-292, ACM International Conference Proceeding Series
Luo, Shousheng; Meng, Ruyue; Wei, Suhua; Cai, Jianfeng; Tai, Xuecheng; Wang, Yang
Data-driven tight frame for Cryo-EM image denoising and conformational classification
2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings, February 2019, article number 8646614, p. 544-548
Xian, Yin; Gu, Hanlin; Wang, Wei; Huang, Xuhui; Yao, Yuan; Wang, Yang; Cai, Jianfeng
Deep Generative Learning via Variational Gradient Flow
Proceedings of Machine Learning Research, v. 97, 2019, p. 2093-2101
Gao, Yuan; Jiao, Yuling; Wang, Yang; Yang, Can; Zhang, Shunkang
Deep Generative Learning via Variational Gradient Flow
36th International Conference on Machine Learning, ICML 2019, (Part 6), 2019, p. 3661-3669
Gao, Yuan; Jiao, Yuling; Wang, Yang; Wang, Yao; Yang, Can; Zhang, Shunkang
Low-dose X-ray computed tomography image reconstruction using edge sparsity regularization
ISICDM 2019: Proceedings of the Third International Symposium on Image Computing and Digital Medicine, August 2019, p. 303-307, ACM International Conference Proceeding Series
Luo, Shousheng; Kang, Keke; Wang, Yang; Tai, Xuecheng


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Article 5

Data recovery on a manifold from linear samples: theory and computation
Annals of Mathematical Sciences and Applications, v. 3, (1), March 2018, p. 337-365
Cai, Jianfeng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
Newman Cyclotomic Polynomials, Refinable Splines and the Euler Binary Partition Function
Sbornik Mathematics, v. 209, (12), December 2018, p. 1783-1802
Protasov, V. Yu; Wang, Yang
Phase Retrieval from the Magnitudes of Affine Linear Measurements
Advances in Applied Mathematics, v. 93, February 2018, p. 121-141
Gao, Bing; Sun, Qiyu; Wang, Yang; Xu, Zhiqiang
Random Matrices and Erasure Robust Frames
Journal of Fourier Analysis and Applications, v. 24, (1), February 2018, p. 1-16
Wang, Yang
Scattering Transform and Sparse Linear Classifiers for Art Authentication
Signal Processing, v. 150, September 2018, p. 11-19
Leonarduzzi, Roberto Fabio; Liu, Haixia; Wang, Yang

Conference paper 1

Synchronized Recovery Method for Multi-Rank Symmetric Tensor Decomposition
Imaging, Vision and Learning Based on Optimization and PDEs. IVLOPDE 2016. / Edited by Xue-Cheng Tai, Egil Bae, and Marius Lysaker. Switzerland : Springer International Publishing, 2018, p. 241-251, Book Series: Mathematics and Visualization
Liu, Haixia; Miao, Lizhang; Wang, Yang


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Article 4

Efficient Estimation of Regularization Parameters via Downsampling and the Singular Value Expansion
BIT Numerical Mathematics, v. 57, (2), June 2017, p. 499-529
Renaut, Rosemary A.; Horst, Michael; Wang, Yang; Cochran, Douglas; Hansen, Jakob
Robust Sparse Phase Retrieval Made Easy
Applied and Computational Harmonic Analysis, v. 42, (1), January 2017, p. 135-142
Iwen, Mark; Viswanathan, Aditya; Wang, Yang
Subspace clustering by (k,k)-sparse matrix factorization
Inverse Problems and Imaging, v. 11, (3), June 2017, p. 539-551
Liu, Haixia; Cai, Jianfeng; Wang, Yang
Topological Invariants and Lipschitz Equivalence of Fractal Squares
Journal of Mathematical Analysis and Applications, v. 451, (1), July 2017, p. 327-344
Ruan, Huo-Jun; Wang, Yang

Book chapter 1

A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging
Frames and Other Bases in Abstract and Function Spaces: Novel Methods in Harmonic Analysis, Volume 1 / Edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou. Switzerland : Springer, 2017, p. 185-213, Book series: Applied and Numerical Harmonic Analysis
Benedetto, John J.; Nava-Tudela, Alfredo; Powell, Alexander M.; Wang, Yang

Conference paper 1

Fourier bases and Fourier frames on self-affine measures
Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields III,?le de Porquerolles, France, 2015 / Edited by Julien Barral and Stéphane Seuret. Switzerland : Birkh?user, Springer, 2015, p. 87-111, Book Series: Trends in Mathematics
Dutkay, Dorin Ervin; Lai, Chun Kit; Wang, Yang


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Article 4

A multiscale sub-linear time Fourier algorithm for noisy data
Applied and Computational Harmonic Analysis, v. 40, (3), May 2016, p. 553-574
Christlieb, Andrew; Lawlor, David; Wang, Yang
Fast Phase Retrieval from Local Correlation Measurements
SIAM Journal on Imaging Sciences, v. 9, (4), 2016, p. 1655-1688
Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang
On the decay of the smallest singular value of submatrices of rectangular matrices
Asian-European Journal of Mathematics, v. 9, (4), December 2016, article number 1650075
Liu, Yang; Wang, Yang
Stable Signal Recovery from Phaseless Measurements
Journal of Fourier Analysis and Applications, v. 22, (4), August 2016, p. 787-808
Gao, Bing; Wang, Yang; Xu, Zhiqiang

Book chapter 1

Stylometry and mathematical study of authorship
New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis / Edited by Akram Aldroubi, Carlos Cabrelli, Stephane Jaffard, and Ursula Molter. Switzerland : Springer, 2016, p. 281-300, Book series: New Trends in Applied Harmonic Analysis
Hu, Xianfeng; Wang, Yang; Wu, Qiang


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Article 2

Gabor orthonormal bases generated by the unit cubes
Journal of Functional Analysis, v. 269, (5), September 2015, p. 1515-1538
Gabardo, Jean-Pierre; Lai, Chun Kit; Wang, Yang
Self-similar subsets of the Cantor set
Advances in Mathematics, v. 281, August 2015, p. 857-885
Feng, Dejun; Rao, Hui; Wang, Yang

Conference paper 1

Tiling Z² by a Set of Four Elements
Fractal Geometry and Stochastics V / Edited by Christoph Bandt, Kenneth Falconer and Martina Z?hle. Switzerland : Birkh?user, Springer, 2015, p. 93-103, Book Series: Progress in Probability vol 70
Feng, De-Jun; Wang, Yang


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Article 3

Lipschitz equivalence of self-similar sets with touching structures
Nonlinearity, v. 27, (6), May 2014, p. 1299-1321
Ruan, Huojun; Wang, Yang; Xi, Lifeng
Phase retrieval for sparse signals
Applied and Computational Harmonic Analysis, v. 37, (3), November 2014, p. 531-544
Wang, Yang; Xu, Zhiqiang
Phase retrieval from very few measurements
Linear Algebra and Its Applications, v. 449, May 2014, p. 475-499
Fickus, Matthew C.; Mixon, Dustin G.; Nelson, Aaron A.; Wang, Yang

Conference paper 1

Non-stationary noise estimation using dictionary learning and Gaussian mixture models
Proceedings of SPIE - The International Society for Optical Engineering, v. 9019, February 2014, article number 90190L
Hughes, James M.; Rockmore, Daniel N.; Wang, Yang


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Article 9

Adaptive sub-linear time Fourier algorithms
Advances in Adaptive Data Analysis, v. 5, (1), January 2013
Lawlor, David; Wang, Yang; Christlieb, Andrew
Bayesian learning of sparse multiscale image representations
IEEE Transactions on Image Processing, v. 22, (12), 2013, article number 6587829, p. 4972-4983
Hughes, James Michael; Rockmore, Daniel N.; Wang, Yang
Edge detection from truncated Fourier data using spectral mollifiers
Advances in Computational Mathematics, v. 38, (4), May 2013, p. 737-762
Cochran, Doug; Gelb, Anne; Wang, Yang
Invertibility and robustness of phaseless reconstruction
Applied and Computational Harmonic Analysis, v. 38, (3), May 2015, p. 469-488
Bǎlan, Radu V.; Wang, Yang
Necessary and sufficient conditions to perform Spectral Tetris
Linear Algebra and Its Applications, v. 438, (5), March 2013, p. 2239-2255
Casazza, Peter G.; Heinecke, Andreas M.; Kornelson, Keri A.; Wang, Yang; Zhou, Zhengfang
Phase aliasing correction for robust blind source separation using DUET
Applied and Computational Harmonic Analysis, v. 35, (2), September 2013, p. 341-349
Wang, Yang; Y?lmaz, ?zgür; Zhou, Zhengfang
Source extraction in audio via background learning
Inverse Problems and Imaging, v. 7, (1), 2013, p. 283-290
Wang, Yang; Zhou, Zhengfang
The regularity of refinable functions
Applied and Computational Harmonic Analysis, v. 34, (1), January 2013, p. 142-147
Wang, Yang; Xu, Zhiqiang
Vakman's problem and the extension of Hilbert transform
Applied and Computational Harmonic Analysis, v. 34, (2), March 2013, p. 308-316
Huang, Jianfeng; Wang, Yang; Yang, Lihua

Book chapter 1

On the convergence of iterative filtering empirical mode decomposition
Excursions in Harmonic Analysis, Volume 2: The February Fourier Talks at the Norbert Wiener Center / Edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, and Kasso A. Okoudjou. New York : Springer, 2013, p. 157-172, Book series: Applied and Numerical Harmonic Analysis
Wang, Yang; Zhou, Zhengfang

Conference paper 1

Speeding up scientific imaging workflows: Design of automated image annotation tool
2013 1st IEEE Workshop on User-Centered Computer Vision, UCCV 2013 / IEEE. New York, NY, USA : IEEE, 2013, p. 13-18, Article no.: 6530801
Colbry, Dirk; Dyer, Fred C.; Dworkin, Ian Michael; Wang, Yang; Wang, Lifeng


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Article 11

A Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows
Journal of Fourier Analysis and Applications, v. 18, (2), April 2012, p. 223-239
Pfander, G?tz E.; Rashkov, Peter; Wang, Yang
Coarse quantization for random interleaved sampling of bandlimited signals
Esaim. Mathematical Modelling And Numerical Analysis, v. 46, (3), May 2012, p. 605-618
Powell, Alexander M.; Tanner, Jared; Wang, Yang; Y?lmaz, ?zgür
Empirical mode decomposition analysis for visual stylometry
IEEE Transactions on Pattern Analysis and Machine Intelligence, v. 34, (11), November 2012, article number 6127875, p. 2147-2157
Hughes, James Michael; Mao, Dong; Rockmore, Daniel N.; Wang, Yang; Wu, Qiang
Iterative Filtering Decomposition Based on Local Spectral Evolution Kernel
Journal of Scientific Computing, v. 50, (3), March 2012, p. 629-664
Wang, Yang; Wei, Guowei; Yang, Siyang
Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
Transactions of the American Mathematical Society, v. 364, (3), March 2012, article number PII S053274, p. 1109-1126
Rao, Hui; Ruan, Huojun; Wang, Yang
Mathematical methods for images and surfaces 2011
International Journal of Biomedical Imaging,, v. 2012, March 2012, article number 419647
Guo, Weihong; Udpa, Lalita; Wang, Yang; Wei, Guowei; Zhao, Shan
Mode Decomposition Evolution Equations
Journal of Scientific Computing, v. 50, (3), March 2012, p. 495-518
Wang, Yang; Wei, Guowei; Yang, Siyang
Selective extraction of entangled textures via adaptive PDE transform
International Journal of Biomedical Imaging, v. 2012, January 2012, article number 958142
Wang, Yang; Wei, Guowei; Yang, Siyang
Sparse PCA by iterative elimination algorithm
Advances in Computational Mathematics, v. 36, (1), January 2012, p. 137-151
Wang, Yang; Wu, Qiang
Spectral Tetris Fusion Frame Constructions
Journal of Fourier Analysis and Applications, v. 18, (4), August 2012, p. 828-851
Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang
The performance of PCM quantization under tight frame representations
SIAM Journal on Mathematical Analysis, v. 44, (4), August 2012, p. 2802-2823
Wang, Yang; Xu, Zhiqiang


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Article 3

Constructing tight fusion frames
Applied and Computational Harmonic Analysis, v. 30, (2), March 2011, p. 175-187
Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
Partial differential equation transform: Variational formulation and Fourier analysis
International Journal for Numerical Methods in Biomedical Engineering, v. 27, (12), December 2011, p. 1996-2020
Wang, Yang; Wei, Guowei; Yang, Siyang
Reconstruction from irregular Fourier samples and Gaussian spectral mollifiers
Far East Journal of Applied Mathematics, v. 53, (2), April 2011, p. 109-121
Wang, Long; Wang, Yang

Conference paper 1

Spectral tetris fusion frame constructions
Proceedings of SPIE - The International Society for Optical Engineering, v. 8138, 2011, article number 813816
Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang


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Article 4

Classification of Refinable Splines in ?d
Constructive Approximation, v. 31, (3), June 2010, p. 343-358
Dai, Xinrong; Wang, Yang
Mathematical methods for images and surfaces
International Journal of Biomedical Imaging, v. 2010, March 2010, article number 918467
Wei, Guowei; Udpa, Lalita; Wang, Yang; Zhao, Shan
Modeling and simulation of the horizontal component of the geomagnetic field by fractional stochastic differential equations in conjunction with empirical mode decomposition
Journal of Geophysical Research: Space Physics, v. 115, (10), October 2010, article number A10219
Yu, Zuguo; Anh, Vo V.; Wang, Yang; Mao, Dong; Wanliss, James A.
The golden ratio encoder
IEEE Transactions on Information Theory, v. 56, (10), October 2010, article number 5571869, p. 5097-5110
Daubechies, Ingrid C.; Güntürk, C. Sinan; Wang, Yang; Y?lmaz, ?zgür


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Article 5

Convergence of a convolution-filtering-based algorithm for empirical mode decomposition
Advances in Adaptive Data Analysis, v. 1, (4), October 2009, p. 561-571
Huang, Chao; Yang, Lihua; Wang, Yang
Iterative filtering as an alternative algorithm for empirical mode decomposition
Advances in Adaptive Data Analysis, v. 1, (4), October 2009, p. 543-560
Lin, Luan; Wang, Yang; Zhou, Haomin
Lattice quantization error for redundant representations
Applied and Computational Harmonic Analysis, v. 27, (3), November 2009, p. 334-341
Borodachov, Sergiy V.; Wang, Yang
On the structures of generating iterated function systems of Cantor sets
Advances in Mathematics, v. 222, (6), December 2009, p. 1964-1981
Feng, Dejun; Wang, Yang
The β α-Encoders for robust A/D conversion
Acta Applicandae Mathematicae, v. 107, (1-3), July 2009, p. 313-323
Jiménez, David; Wang, Yang

Conference paper 2

Constructions and existence of tight fusion frames
Proceedings of SPIE, v. 7446, 2009, article number 744613, Wavelets XIII
Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
Lattice quantization error for redundant representations
Proceedings of SPIE, v. 7446, 2009, article number 74460N, Wavelets XIII
Borodachov, Sergiy V.; Wang, Yang


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Article 1

Sigma-delta quantization errors and the traveling salesman problem
Advances in Computational Mathematics, v. 28, (2), February 2008, p. 101-118
Wang, Yang

Conference paper 2

Asymptotic white noise hypothesis for PCM quantization
CISS 2008, The 42nd Annual Conference on Information Sciences and Systems / IEEE. New York, NY, USA : IEEE, 2008, p. 733-736, Article no.: 4558618
Borodachov, Sergiy V.; Wang, Yang
Multifractal analysis and authentication of Jackson Pollock paintings
Proceedings of SPIE - The International Society for Optical Engineering, v. 6810, 2008, article number 68100F
Coddington, Jim; Elton, John H.; Rockmore, Daniel N.; Wang, Yang


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Article 4

On Refinable Sets
Methods and Applications of Analysis, v. 14, (2), June 2007, p. 165-178
Dai, Xinrong; Wang, Yang
Refinable functions with non-integer dilations
Journal of Functional Analysis, v. 250, (1), September 2007, p. 1`-20
Dai, Xinrong; Feng, Dejun; Wang, Yang
Structure of refinable splines
Applied and Computational Harmonic Analysis, v. 22, (3), May 2007, p. 374-381
Dai, Xinrong; Feng, Dejun; Wang, Yang
White noise hypothesis for uniform quantization errors
SIAM Journal on Mathematical Analysis, v. 38, (6), April 2007, p. 2042-2056
Jiménez, David; Wang, Long; Wang, Yang

Conference paper 1

βα-Encoders for A/D conversion
Proceedings of SPIE - The International Society for Optical Engineering, v. 6701, 2007, article number 670107
Jiménez, David; Wang, Yang


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Article 5

Classification of refinable splines
Constructive Approximation, v. 24, (2), September 2006, p. 187-200
Dai, Xinrong; Feng, Dejun; Wang, Yang
Generation of finite tight frames by Householder transformations
Advances in Computational Mathematics, v. 24, (1-4), January 2006, p. 297-309
Feng, Dejun; Wang, Long; Wang, Yang
Simultaneous translational and multiplicative tiling and wavelet sets in ?2
Indiana University Mathematics Journal, v. 55, (6), 2006, p. 1935-1950
Iona?cu, Eugen J.; Wang, Yang
Some properties of spectral measures
Applied and Computational Harmonic Analysis, v. 20, (1), January 2006, p. 149-157
?aba, Izabella; Wang, Yang
Total variation wavelet-based medical image denoising
International Journal of Biomedical Imaging, v. 2006, August 2006, article number 089095
Wang, Yang; Zhou, Haomin


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Article 3

A class of self-affine sets and self-affine measures
Journal of Fourier Analysis and Applications, v. 11, (1), February 2005, p. 107-124
Feng, Dejun; Wang, Yang
Absolute continuity of self-similar measures and Bernoulli convolutions
Asian Journal of Mathematics, v. 9, (2), 2005, p. 224-227
Ngai, Sze Man; Wang, Yang
Self-similar measures associated to IFS with non-uniform contraction ratios
The Asian Journal of Mathematics, v. 9, (2), June 2005, p. 227-244
Ngai, Sze Man; Wang, Yang


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Article 4

Bernoulli convolutions associated with certain non-Pisot numbers
Advances in Mathematics, v. 187, (1), September 2004, p. 173-194
Feng, Dejun; Wang, Yang
Quantum integers and cyclotomy
Journal of Number Theory, v. 109, (1), November 2004, p. 120-135
Borisov, Alexander O.; Nathanson, Melvyn B.; Wang, Yang
Sparse complete Gabor systems on a lattice
Applied and Computational Harmonic Analysis, v. 16, (1), January 2004, p. 60-67
Wang, Yang
The existence of Gabor bases and frames
Contemporary Math., v. 345, 2004, special issue, p. 183-192
Han, Deguang; Wang, Yang


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Article 2

Substitution Delone Sets
Discrete & Computational Geometry, v. 29, (2), March 2003, p. 175-209
Lagarias, Jeffrey C.; Wang, Yang
The uniformity of non-uniform Gabor bases
Advances in Computational Mathematics, v. 18, (2-4), February 2003, p. 345-355
Liu, Youming; Wang, Yang


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Article 3

On spectral Cantor measures
Journal of functional analysis, v. 193, (2), 2002, p. 409-420
?aba, Izabella; Wang, Yang
Self-affine Tiling via Substitution Dynamical Systems and Rauzy Fractals
Pacific Journal of Mathematics, v. 206, (2), October 2002, p. 465-485
Sirvent, Víctor F.; Wang, Yang
Wavelets, tiling, and spectral sets
Duke Mathematical Journal, v. 114, (1), July 2002, p. 43-57
Wang, Yang


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Article 6

Disk-like self-affine tiles in ?2
Discrete & Computational Geometry, v. 26, (4), December 2001, p. 591-601
Bandt, Christoph; Wang, Yang
Hausdorff dimension of self-similar sets with overlaps
Journal of the London Mathematical Society, v. 63, (3), June 2001, p. 655-672
Ngai, Sze Man; Wang, Yang
Lattice tiling and the Weyl-Heisenberg frames
Geometric and Functional Analysis, v. 11, (4), November 2001, p. 742-758
Han, Deguang; Wang, Yang
On the number of Daubechies scaling functions and a conjecture of Chyzak et al.
Experimental Mathematics, v. 10, (1), 2001, p. 87-89
Wang, Yang
Subdivision schemes and refinement equations with nonnegative masks
Journal of Approximation Theory, v. 113, (2), December 2001, p. 207-220
Wang, Yang
Universal spectra, universal tiling sets and the spectral set conjecture
Mathematica Scandinavica, v. 88, (2), June 2001, p. 246-256
Pedersen, Steen; Wang, Yang


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Article 3

On 2-Reptiles in the Plane
Geometriae dedicata, v. 82, (1-3), October 2000, p. 325-344
Ngai, Sze Man; Sirvent, Víctor F.; Veerman, J.J.P.; Wang, Yang
Orthogonality criteria for compactly supported refinable functions and refinable function vectors
Journal of Fourier Analysis and Applications, v. 6, (2), March 2000, p. 153-170
Lagarias, Jeffrey C.; Wang, Yang
Orthonormal bases of exponentials for the n-cube
Duke Mathematical Journal, v. 103, (1), May 2000, p. 25-37
Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang


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Article 6

Arbitrarily smooth orthogonal nonseparable wavelets in ?2
SIAM Journal on Mathematical Analysis, v. 30, (3), March/April 1999, p. 678-697
Belogay, Eugene; Wang, Yang
Compactly supported orthogonal symmetric scaling functions
Applied and Computational Harmonic Analysis, v. 7, (2), September 1999, p. 137-150
Belogay, Eugene; Wang, Yang
Geometry of Self-Affine Tiles I
Indiana University Mathematics Journal, v. 48, (1), Spring 1999, p. 1-23
Strichartz, Robert S.; Wang, Yang
Geometry of Self-Affine Tiles II
Indiana University Mathematics Journal, v. 48, (1), March 1999, p. 25-42
Kenyon, Richard W.; Li, Jie; Strichartz, Robert S.; Wang, Yang
Haar bases for L²(?ⁿ) and algebraic number theory
Journal of Number Theory, v. 76, (2), June 1999, p. 330-336
Lagarias, Jeffrey C.; Wang, Yang
Haar-type multiwavelet bases and self-affine multi-tiles
Asian Journal of Mathematics, v. 3, (2), January 1999, p. 387-400
Flaherty, Tim; Wang, Yang

Book chapter 1

Self-affine tiles
Advances in Wavelets / edited by Ka-Sing Lau. 1st ed., Springer, 1999, p. 261-285
Wang, Yang


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Article 1

On the use of high-order ambiguity function for multi-component polynomial phase signals
Signal Processing, v. 65, (2), March 1998, p. 283-296
Wang, Yang; Zhou, Guotong


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Article 3

Exploring lag diversity in the high-order ambiguity function for polynomial phase signals
IEEE Signal Processing Letters, v. 4, (8), August 1997, p. 240-242
Zhou, Guotong; Wang, Yang
Integral self-affine tiles in ?ⁿ part II: Lattice tilings
Journal of Fourier Analysis and Applications, v. 3, (1), Jamuary 1997, p. 83-102
Lagarias, Jeffrey C.; Wang, Yang
Spectral sets and factorizations of finite Abelian groups
Journal of Functional Analysis, v. 145, (1), April 1997, p. 73-98
Lagarias, Jeffrey C.; Wang, Yang

Conference paper 1

On the use of high order ambiguity function for multicomponent polynomial phase signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v. 5, 1997, p. 3629-3632
Wang, Yang; Zhou, Guotong


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Article 6

Haar bases for L²(?ⁿ) and algebraic number theory
Journal of Number Theory, v. 57, (1), March 1996, article number 0042, p. 181-197
Lagarias, Jeffrey C.; Wang, Yang
Integral Self-Affine Tiles in ?ⁿ I. Standard and Nonstandard Digit Sets
Journal of the London Mathematical Society, v. 54, (1), August 1996, p. 161-179
Lagarias, Jeffrey C.; Wang, Yang
Nonnegative radix representations for the orthant R₊ⁿ
Transactions of the American Mathematical Society, v. 348, (1), January 1996, p. 99-117
Lagarias, Jeffrey C.; Wang, Yang
Self-affine tiles in ?ⁿ
Advances in Mathematics, v. 121, (1), July 1996, p. 21-49
Lagarias, Jeffrey C.; Wang, Yang
Tiling the line with translates of one tile
Inventiones Mathematicae, v. 124, (1-3), February 1996, p. 341-365
Lagarias, Jeffrey C.; Wang, Yang
Two-scale dilation equations and the mean spectral radius
Random and Computational Dynamics, v. 4, 1996, p. 49-72
Wang, Yang


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Article 4

Existence and Regularity of Solutions to a Variational Problem of Mumford and Shah: A Constructive Approach
SIAM Journal on Optimization, v. 5, (4), November 1995, p. 892-913
Wang, Yang
Haar Type Orthonormal Wavelet Bases in R²
Journal of Fourier Analysis and Applications, v. 2, (1), February 1995, p. 1-14
Lagarias, Jeffrey C.; Wang, Yang
The finiteness conjecture for the generalized spectral radius of a set of matrices
Linear Algebra and its Applications, v. 214, (C), January 1995, p. 17-42
Lagarias, Jeffrey C.; Wang, Yang
Two-scale dilation equations and the cascade algorithm
Random and Computational Dynamics, v. 3, 1995, p. 289-309
Wang, Yang


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Article 1

Nonexistence of Brownian models for certain multiclass queueing networks
Queueing Systems: Theory and Applications, v. 13, (1-3), March 1993, p. 41-46
Dai, Jim; Wang, Yang


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Article 1

Bounded semigroups of matrices
Linear Algebra and its Applications, v. 166, (C), March 1992, p. 21-27
Berger, Marc A.; Wang, Yang

Book chapter 1

Multidimensional two-scale dilation equations
Wavelets: a tutorial in theory and applications / edited by Charles K. Chui. Boston : Academic Press, 1992, p. 295-325
Wang, Yang; Berger, Marc A.


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Article 1

On the order and number of zero divisors of a finite ring
Journal of University of Science and Technology of China, September 1982, p. 140-142
Wang, Yang


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2016 5

A multiscale sub-linear time Fourier algorithm for noisy data
Applied and Computational Harmonic Analysis, v. 40, (3), May 2016, p. 553-574
Christlieb, Andrew; Lawlor, David; Wang, Yang Article
Fast Phase Retrieval from Local Correlation Measurements
SIAM Journal on Imaging Sciences, v. 9, (4), 2016, p. 1655-1688
Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang Article
On the decay of the smallest singular value of submatrices of rectangular matrices
Asian-European Journal of Mathematics, v. 9, (4), December 2016, article number 1650075
Liu, Yang; Wang, Yang Article
Stable Signal Recovery from Phaseless Measurements
Journal of Fourier Analysis and Applications, v. 22, (4), August 2016, p. 787-808
Gao, Bing; Wang, Yang; Xu, Zhiqiang Article
Stylometry and mathematical study of authorship
New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis / Edited by Akram Aldroubi, Carlos Cabrelli, Stephane Jaffard, and Ursula Molter. Switzerland : Springer, 2016, p. 281-300, Book series: New Trends in Applied Harmonic Analysis
Hu, Xianfeng; Wang, Yang; Wu, Qiang Book chapter

2015 3

Gabor orthonormal bases generated by the unit cubes
Journal of Functional Analysis, v. 269, (5), September 2015, p. 1515-1538
Gabardo, Jean-Pierre; Lai, Chun Kit; Wang, Yang Article
Self-similar subsets of the Cantor set
Advances in Mathematics, v. 281, August 2015, p. 857-885
Feng, Dejun; Rao, Hui; Wang, Yang Article
Tiling Z² by a Set of Four Elements
Fractal Geometry and Stochastics V / Edited by Christoph Bandt, Kenneth Falconer and Martina Z?hle. Switzerland : Birkh?user, Springer, 2015, p. 93-103, Book Series: Progress in Probability vol 70
Feng, De-Jun; Wang, Yang Conference paper

2014 4

Lipschitz equivalence of self-similar sets with touching structures
Nonlinearity, v. 27, (6), May 2014, p. 1299-1321
Ruan, Huojun; Wang, Yang; Xi, Lifeng Article
Phase retrieval for sparse signals
Applied and Computational Harmonic Analysis, v. 37, (3), November 2014, p. 531-544
Wang, Yang; Xu, Zhiqiang Article
Phase retrieval from very few measurements
Linear Algebra and Its Applications, v. 449, May 2014, p. 475-499
Fickus, Matthew C.; Mixon, Dustin G.; Nelson, Aaron A.; Wang, Yang Article
Non-stationary noise estimation using dictionary learning and Gaussian mixture models
Proceedings of SPIE - The International Society for Optical Engineering, v. 9019, February 2014, article number 90190L
Hughes, James M.; Rockmore, Daniel N.; Wang, Yang Conference paper

2013 11

Adaptive sub-linear time Fourier algorithms
Advances in Adaptive Data Analysis, v. 5, (1), January 2013
Lawlor, David; Wang, Yang; Christlieb, Andrew Article
Bayesian learning of sparse multiscale image representations
IEEE Transactions on Image Processing, v. 22, (12), 2013, article number 6587829, p. 4972-4983
Hughes, James Michael; Rockmore, Daniel N.; Wang, Yang Article
Edge detection from truncated Fourier data using spectral mollifiers
Advances in Computational Mathematics, v. 38, (4), May 2013, p. 737-762
Cochran, Doug; Gelb, Anne; Wang, Yang Article
Invertibility and robustness of phaseless reconstruction
Applied and Computational Harmonic Analysis, v. 38, (3), May 2015, p. 469-488
Bǎlan, Radu V.; Wang, Yang Article
Necessary and sufficient conditions to perform Spectral Tetris
Linear Algebra and Its Applications, v. 438, (5), March 2013, p. 2239-2255
Casazza, Peter G.; Heinecke, Andreas M.; Kornelson, Keri A.; Wang, Yang; Zhou, Zhengfang Article
Phase aliasing correction for robust blind source separation using DUET
Applied and Computational Harmonic Analysis, v. 35, (2), September 2013, p. 341-349
Wang, Yang; Y?lmaz, ?zgür; Zhou, Zhengfang Article
Source extraction in audio via background learning
Inverse Problems and Imaging, v. 7, (1), 2013, p. 283-290
Wang, Yang; Zhou, Zhengfang Article
The regularity of refinable functions
Applied and Computational Harmonic Analysis, v. 34, (1), January 2013, p. 142-147
Wang, Yang; Xu, Zhiqiang Article
Vakman's problem and the extension of Hilbert transform
Applied and Computational Harmonic Analysis, v. 34, (2), March 2013, p. 308-316
Huang, Jianfeng; Wang, Yang; Yang, Lihua Article
On the convergence of iterative filtering empirical mode decomposition
Excursions in Harmonic Analysis, Volume 2: The February Fourier Talks at the Norbert Wiener Center / Edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, and Kasso A. Okoudjou. New York : Springer, 2013, p. 157-172, Book series: Applied and Numerical Harmonic Analysis
Wang, Yang; Zhou, Zhengfang Book chapter
Speeding up scientific imaging workflows: Design of automated image annotation tool
2013 1st IEEE Workshop on User-Centered Computer Vision, UCCV 2013 / IEEE. New York, NY, USA : IEEE, 2013, p. 13-18, Article no.: 6530801
Colbry, Dirk; Dyer, Fred C.; Dworkin, Ian Michael; Wang, Yang; Wang, Lifeng Conference paper

2012 11

A Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows
Journal of Fourier Analysis and Applications, v. 18, (2), April 2012, p. 223-239
Pfander, G?tz E.; Rashkov, Peter; Wang, Yang Article
Coarse quantization for random interleaved sampling of bandlimited signals
Esaim. Mathematical Modelling And Numerical Analysis, v. 46, (3), May 2012, p. 605-618
Powell, Alexander M.; Tanner, Jared; Wang, Yang; Y?lmaz, ?zgür Article
Empirical mode decomposition analysis for visual stylometry
IEEE Transactions on Pattern Analysis and Machine Intelligence, v. 34, (11), November 2012, article number 6127875, p. 2147-2157
Hughes, James Michael; Mao, Dong; Rockmore, Daniel N.; Wang, Yang; Wu, Qiang Article
Iterative Filtering Decomposition Based on Local Spectral Evolution Kernel
Journal of Scientific Computing, v. 50, (3), March 2012, p. 629-664
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
Transactions of the American Mathematical Society, v. 364, (3), March 2012, article number PII S053274, p. 1109-1126
Rao, Hui; Ruan, Huojun; Wang, Yang Article
Mathematical methods for images and surfaces 2011
International Journal of Biomedical Imaging,, v. 2012, March 2012, article number 419647
Guo, Weihong; Udpa, Lalita; Wang, Yang; Wei, Guowei; Zhao, Shan Article
Mode Decomposition Evolution Equations
Journal of Scientific Computing, v. 50, (3), March 2012, p. 495-518
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Selective extraction of entangled textures via adaptive PDE transform
International Journal of Biomedical Imaging, v. 2012, January 2012, article number 958142
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Sparse PCA by iterative elimination algorithm
Advances in Computational Mathematics, v. 36, (1), January 2012, p. 137-151
Wang, Yang; Wu, Qiang Article
Spectral Tetris Fusion Frame Constructions
Journal of Fourier Analysis and Applications, v. 18, (4), August 2012, p. 828-851
Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang Article
The performance of PCM quantization under tight frame representations
SIAM Journal on Mathematical Analysis, v. 44, (4), August 2012, p. 2802-2823
Wang, Yang; Xu, Zhiqiang Article

2011 4

Constructing tight fusion frames
Applied and Computational Harmonic Analysis, v. 30, (2), March 2011, p. 175-187
Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang Article
Partial differential equation transform: Variational formulation and Fourier analysis
International Journal for Numerical Methods in Biomedical Engineering, v. 27, (12), December 2011, p. 1996-2020
Wang, Yang; Wei, Guowei; Yang, Siyang Article
Reconstruction from irregular Fourier samples and Gaussian spectral mollifiers
Far East Journal of Applied Mathematics, v. 53, (2), April 2011, p. 109-121
Wang, Long; Wang, Yang Article
Spectral tetris fusion frame constructions
Proceedings of SPIE - The International Society for Optical Engineering, v. 8138, 2011, article number 813816
Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang Conference paper

2010 4

Classification of Refinable Splines in ?d
Constructive Approximation, v. 31, (3), June 2010, p. 343-358
Dai, Xinrong; Wang, Yang Article
Mathematical methods for images and surfaces
International Journal of Biomedical Imaging, v. 2010, March 2010, article number 918467
Wei, Guowei; Udpa, Lalita; Wang, Yang; Zhao, Shan Article
Modeling and simulation of the horizontal component of the geomagnetic field by fractional stochastic differential equations in conjunction with empirical mode decomposition
Journal of Geophysical Research: Space Physics, v. 115, (10), October 2010, article number A10219
Yu, Zuguo; Anh, Vo V.; Wang, Yang; Mao, Dong; Wanliss, James A. Article
The golden ratio encoder
IEEE Transactions on Information Theory, v. 56, (10), October 2010, article number 5571869, p. 5097-5110
Daubechies, Ingrid C.; Güntürk, C. Sinan; Wang, Yang; Y?lmaz, ?zgür Article

2009 7

Convergence of a convolution-filtering-based algorithm for empirical mode decomposition
Advances in Adaptive Data Analysis, v. 1, (4), October 2009, p. 561-571
Huang, Chao; Yang, Lihua; Wang, Yang Article
Iterative filtering as an alternative algorithm for empirical mode decomposition
Advances in Adaptive Data Analysis, v. 1, (4), October 2009, p. 543-560
Lin, Luan; Wang, Yang; Zhou, Haomin Article
Lattice quantization error for redundant representations
Applied and Computational Harmonic Analysis, v. 27, (3), November 2009, p. 334-341
Borodachov, Sergiy V.; Wang, Yang Article
On the structures of generating iterated function systems of Cantor sets
Advances in Mathematics, v. 222, (6), December 2009, p. 1964-1981
Feng, Dejun; Wang, Yang Article
The β α-Encoders for robust A/D conversion
Acta Applicandae Mathematicae, v. 107, (1-3), July 2009, p. 313-323
Jiménez, David; Wang, Yang Article
Constructions and existence of tight fusion frames
Proceedings of SPIE, v. 7446, 2009, article number 744613, Wavelets XIII
Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang Conference paper
Lattice quantization error for redundant representations
Proceedings of SPIE, v. 7446, 2009, article number 74460N, Wavelets XIII
Borodachov, Sergiy V.; Wang, Yang Conference paper

2008 3

Sigma-delta quantization errors and the traveling salesman problem
Advances in Computational Mathematics, v. 28, (2), February 2008, p. 101-118
Wang, Yang Article
Asymptotic white noise hypothesis for PCM quantization
CISS 2008, The 42nd Annual Conference on Information Sciences and Systems / IEEE. New York, NY, USA : IEEE, 2008, p. 733-736, Article no.: 4558618
Borodachov, Sergiy V.; Wang, Yang Conference paper
Multifractal analysis and authentication of Jackson Pollock paintings
Proceedings of SPIE - The International Society for Optical Engineering, v. 6810, 2008, article number 68100F
Coddington, Jim; Elton, John H.; Rockmore, Daniel N.; Wang, Yang Conference paper

2007 5

On Refinable Sets
Methods and Applications of Analysis, v. 14, (2), June 2007, p. 165-178
Dai, Xinrong; Wang, Yang Article
Refinable functions with non-integer dilations
Journal of Functional Analysis, v. 250, (1), September 2007, p. 1`-20
Dai, Xinrong; Feng, Dejun; Wang, Yang Article
Structure of refinable splines
Applied and Computational Harmonic Analysis, v. 22, (3), May 2007, p. 374-381
Dai, Xinrong; Feng, Dejun; Wang, Yang Article
White noise hypothesis for uniform quantization errors
SIAM Journal on Mathematical Analysis, v. 38, (6), April 2007, p. 2042-2056
Jiménez, David; Wang, Long; Wang, Yang Article
βα-Encoders for A/D conversion
Proceedings of SPIE - The International Society for Optical Engineering, v. 6701, 2007, article number 670107
Jiménez, David; Wang, Yang Conference paper

2006 5

Classification of refinable splines
Constructive Approximation, v. 24, (2), September 2006, p. 187-200
Dai, Xinrong; Feng, Dejun; Wang, Yang Article
Generation of finite tight frames by Householder transformations
Advances in Computational Mathematics, v. 24, (1-4), January 2006, p. 297-309
Feng, Dejun; Wang, Long; Wang, Yang Article
Simultaneous translational and multiplicative tiling and wavelet sets in ?2
Indiana University Mathematics Journal, v. 55, (6), 2006, p. 1935-1950
Iona?cu, Eugen J.; Wang, Yang Article
Some properties of spectral measures
Applied and Computational Harmonic Analysis, v. 20, (1), January 2006, p. 149-157
?aba, Izabella; Wang, Yang Article
Total variation wavelet-based medical image denoising
International Journal of Biomedical Imaging, v. 2006, August 2006, article number 089095
Wang, Yang; Zhou, Haomin Article

2005 3

A class of self-affine sets and self-affine measures
Journal of Fourier Analysis and Applications, v. 11, (1), February 2005, p. 107-124
Feng, Dejun; Wang, Yang Article
Absolute continuity of self-similar measures and Bernoulli convolutions
Asian Journal of Mathematics, v. 9, (2), 2005, p. 224-227
Ngai, Sze Man; Wang, Yang Article
Self-similar measures associated to IFS with non-uniform contraction ratios
The Asian Journal of Mathematics, v. 9, (2), June 2005, p. 227-244
Ngai, Sze Man; Wang, Yang Article

2004 4

Bernoulli convolutions associated with certain non-Pisot numbers
Advances in Mathematics, v. 187, (1), September 2004, p. 173-194
Feng, Dejun; Wang, Yang Article
Quantum integers and cyclotomy
Journal of Number Theory, v. 109, (1), November 2004, p. 120-135
Borisov, Alexander O.; Nathanson, Melvyn B.; Wang, Yang Article
Sparse complete Gabor systems on a lattice
Applied and Computational Harmonic Analysis, v. 16, (1), January 2004, p. 60-67
Wang, Yang Article
The existence of Gabor bases and frames
Contemporary Math., v. 345, 2004, special issue, p. 183-192
Han, Deguang; Wang, Yang Article

2003 2

Substitution Delone Sets
Discrete & Computational Geometry, v. 29, (2), March 2003, p. 175-209
Lagarias, Jeffrey C.; Wang, Yang Article
The uniformity of non-uniform Gabor bases
Advances in Computational Mathematics, v. 18, (2-4), February 2003, p. 345-355
Liu, Youming; Wang, Yang Article

2002 3

On spectral Cantor measures
Journal of functional analysis, v. 193, (2), 2002, p. 409-420
?aba, Izabella; Wang, Yang Article
Self-affine Tiling via Substitution Dynamical Systems and Rauzy Fractals
Pacific Journal of Mathematics, v. 206, (2), October 2002, p. 465-485
Sirvent, Víctor F.; Wang, Yang Article
Wavelets, tiling, and spectral sets
Duke Mathematical Journal, v. 114, (1), July 2002, p. 43-57
Wang, Yang Article

2001 6

Disk-like self-affine tiles in ?2
Discrete & Computational Geometry, v. 26, (4), December 2001, p. 591-601
Bandt, Christoph; Wang, Yang Article
Hausdorff dimension of self-similar sets with overlaps
Journal of the London Mathematical Society, v. 63, (3), June 2001, p. 655-672
Ngai, Sze Man; Wang, Yang Article
Lattice tiling and the Weyl-Heisenberg frames
Geometric and Functional Analysis, v. 11, (4), November 2001, p. 742-758
Han, Deguang; Wang, Yang Article
On the number of Daubechies scaling functions and a conjecture of Chyzak et al.
Experimental Mathematics, v. 10, (1), 2001, p. 87-89
Wang, Yang Article
Subdivision schemes and refinement equations with nonnegative masks
Journal of Approximation Theory, v. 113, (2), December 2001, p. 207-220
Wang, Yang Article
Universal spectra, universal tiling sets and the spectral set conjecture
Mathematica Scandinavica, v. 88, (2), June 2001, p. 246-256
Pedersen, Steen; Wang, Yang Article

2000 3

On 2-Reptiles in the Plane
Geometriae dedicata, v. 82, (1-3), October 2000, p. 325-344
Ngai, Sze Man; Sirvent, Víctor F.; Veerman, J.J.P.; Wang, Yang Article
Orthogonality criteria for compactly supported refinable functions and refinable function vectors
Journal of Fourier Analysis and Applications, v. 6, (2), March 2000, p. 153-170
Lagarias, Jeffrey C.; Wang, Yang Article
Orthonormal bases of exponentials for the n-cube
Duke Mathematical Journal, v. 103, (1), May 2000, p. 25-37
Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang Article

1999 7

Arbitrarily smooth orthogonal nonseparable wavelets in ?2
SIAM Journal on Mathematical Analysis, v. 30, (3), March/April 1999, p. 678-697
Belogay, Eugene; Wang, Yang Article
Compactly supported orthogonal symmetric scaling functions
Applied and Computational Harmonic Analysis, v. 7, (2), September 1999, p. 137-150
Belogay, Eugene; Wang, Yang Article
Geometry of Self-Affine Tiles I
Indiana University Mathematics Journal, v. 48, (1), Spring 1999, p. 1-23
Strichartz, Robert S.; Wang, Yang Article
Geometry of Self-Affine Tiles II
Indiana University Mathematics Journal, v. 48, (1), March 1999, p. 25-42
Kenyon, Richard W.; Li, Jie; Strichartz, Robert S.; Wang, Yang Article
Haar bases for L²(?ⁿ) and algebraic number theory
Journal of Number Theory, v. 76, (2), June 1999, p. 330-336
Lagarias, Jeffrey C.; Wang, Yang Article
Haar-type multiwavelet bases and self-affine multi-tiles
Asian Journal of Mathematics, v. 3, (2), January 1999, p. 387-400
Flaherty, Tim; Wang, Yang Article
Self-affine tiles
Advances in Wavelets / edited by Ka-Sing Lau. 1st ed., Springer, 1999, p. 261-285
Wang, Yang Book chapter

1998 1

On the use of high-order ambiguity function for multi-component polynomial phase signals
Signal Processing, v. 65, (2), March 1998, p. 283-296
Wang, Yang; Zhou, Guotong Article

1997 4

Exploring lag diversity in the high-order ambiguity function for polynomial phase signals
IEEE Signal Processing Letters, v. 4, (8), August 1997, p. 240-242
Zhou, Guotong; Wang, Yang Article
Integral self-affine tiles in ?ⁿ part II: Lattice tilings
Journal of Fourier Analysis and Applications, v. 3, (1), Jamuary 1997, p. 83-102
Lagarias, Jeffrey C.; Wang, Yang Article
Spectral sets and factorizations of finite Abelian groups
Journal of Functional Analysis, v. 145, (1), April 1997, p. 73-98
Lagarias, Jeffrey C.; Wang, Yang Article
On the use of high order ambiguity function for multicomponent polynomial phase signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v. 5, 1997, p. 3629-3632
Wang, Yang; Zhou, Guotong Conference paper

1996 6

Haar bases for L²(?ⁿ) and algebraic number theory
Journal of Number Theory, v. 57, (1), March 1996, article number 0042, p. 181-197
Lagarias, Jeffrey C.; Wang, Yang Article
Integral Self-Affine Tiles in ?ⁿ I. Standard and Nonstandard Digit Sets
Journal of the London Mathematical Society, v. 54, (1), August 1996, p. 161-179
Lagarias, Jeffrey C.; Wang, Yang Article
Nonnegative radix representations for the orthant R₊ⁿ
Transactions of the American Mathematical Society, v. 348, (1), January 1996, p. 99-117
Lagarias, Jeffrey C.; Wang, Yang Article
Self-affine tiles in ?ⁿ
Advances in Mathematics, v. 121, (1), July 1996, p. 21-49
Lagarias, Jeffrey C.; Wang, Yang Article
Tiling the line with translates of one tile
Inventiones Mathematicae, v. 124, (1-3), February 1996, p. 341-365
Lagarias, Jeffrey C.; Wang, Yang Article
Two-scale dilation equations and the mean spectral radius
Random and Computational Dynamics, v. 4, 1996, p. 49-72
Wang, Yang Article

1995 4

Existence and Regularity of Solutions to a Variational Problem of Mumford and Shah: A Constructive Approach
SIAM Journal on Optimization, v. 5, (4), November 1995, p. 892-913
Wang, Yang Article
Haar Type Orthonormal Wavelet Bases in R²
Journal of Fourier Analysis and Applications, v. 2, (1), February 1995, p. 1-14
Lagarias, Jeffrey C.; Wang, Yang Article
The finiteness conjecture for the generalized spectral radius of a set of matrices
Linear Algebra and its Applications, v. 214, (C), January 1995, p. 17-42
Lagarias, Jeffrey C.; Wang, Yang Article
Two-scale dilation equations and the cascade algorithm
Random and Computational Dynamics, v. 3, 1995, p. 289-309
Wang, Yang Article

1993 1

Nonexistence of Brownian models for certain multiclass queueing networks
Queueing Systems: Theory and Applications, v. 13, (1-3), March 1993, p. 41-46
Dai, Jim; Wang, Yang Article

1992 2

Bounded semigroups of matrices
Linear Algebra and its Applications, v. 166, (C), March 1992, p. 21-27
Berger, Marc A.; Wang, Yang Article
Multidimensional two-scale dilation equations
Wavelets: a tutorial in theory and applications / edited by Charles K. Chui. Boston : Academic Press, 1992, p. 295-325
Wang, Yang; Berger, Marc A. Book chapter

1982 1

On the order and number of zero divisors of a finite ring
Journal of University of Science and Technology of China, September 1982, p. 140-142
Wang, Yang Article






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 0 2020-21 Summer 0 2020-21 Spring 2 2020-21 Winter 0 2020-21 Fall 0

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MATH6913K Reading Course: Bio Rhythm Time Series Analysis and Applications
MSBD5004 Mathematical Methods for Data Analysis


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy CAO, Yifan (co-supervision)
Computational Media and Arts( 2021 - )

CHOW, Marcos Gee Liang (co-supervision)
Public Policy( 2021 - )

GUO, Mengting (co-supervision)
Data Science and Analytics( 2021 - )

LI, Jiayi (co-supervision)
Mathematics( 2021 - )

LI, Yang (co-supervision)
Artificial Intelligence( 2021 - )

LIU, Yingjie (co-supervision)
Data Science and Analytics( 2021 - )

TIAN, Anxin (co-supervision)
Data Science and Analytics( 2021 - )

YANG, Xingxing
Computational Media and Arts( 2021 - )

CHENG, Lan
Individualized Interdisciplinary Program( 2020 - )

HAN, Yuxuan
Mathematics( 2020 - )

QUAN, Xueyang
Mathematics( 2020 - )

CHEN, Zhixian
Mathematics( 2019 - )

HAN, Yuzi (co-supervision)
Mechanical Engineering( 2019 - )

QIAN, Yueqi (co-supervision)
Mathematics( 2019 - )

WANG, Gefei (co-supervision)
Mathematics( 2019 - )

ZHENG, Candi
Mathematics( 2019 - )

YANG, Yunfei
Mathematics( 2018 - )

DO, Van Thuat
Mathematics( 2017 - )

LO, Yi-su
Mathematics( 2017 - )

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Graduated RPGs

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Doctor of Philosophy MIAO, Lizhang
Mathematics( Completed in 2020 )

RONG, Yi
Mathematics( Completed in 2020 )









ProjectsFrom January 2020 to December 2022

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All Projects 6 Leading Projects 2 Participating Projects 4

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Guang Dong - Hong Kong - Macau Joint Laboratory on Data-Driven Fluid Mechanics and Its Engineering Applications


粵港澳數據驅動下的流體力學與工程應用聯合實驗室 Participating


Department of Science and Technology of Guangdong Province


Project Team (HKUST)
LI Larry
TONG Penger
TSE Kam Tim
WANG Yang
XU Kun
YANG Can


2021 -




Hong Kong Center of AI, Robotics and Electronics (HK CARE) for Prefabricated Construction


N/A Participating


Innovation and Technology Fund


Project Team (HKUST)
LI Zexiang (Lead)
CHEN Kevin Jing
CHEN Lei
CHEN Qifeng
CHENG Jack Chin Pang
CHENG Tim Kwang-Ting
FAN Zhiyong
LEE Yi-Kuen
LEUNG Winnie Suk Wai
LIU Ming
QIU Li
QUAN Long
SEO Jungwon
SHEN Shaojie
WANG Michael Yu
WANG Yang
ZHANG Qian


2020 -




Development of Statistical and Machine Learning Methods for Large Scale Genomic Data Analysis


人類基因組數據的統計與機器學習方法研發 Participating


Innovation and Technology Fund


Project Team (HKUST)
YANG Can (Lead)
BAO Zhigang
CAI Jianfeng
WANG Yang
XIA Dong
YAO Yuan
ZHANG Hai


2020 -




Research & Development of Traditional Chinese Medicine Classics formula——Data Platform Establishing


經典名方作用機理、物質基準和二次開發研究——數據平臺的建立 Participating


Nanhai People's Government of Foshan


Project Team (HKUST)
TSIM Karl Wah Keung (Lead)
CHAN Simon Wan
LAM Henry Hei Ning
WANG Yang


2020 -




Big Data Analytic-based Remote Diagnosis Systems


基於大數據分析的遠程診斷系統 Leading


Innovation and Technology Fund


Project Team (HKUST)
WANG Yang (Lead)
CHEN Lei
YANG Can
ZHANG Jiheng


2019 - 2021




Phase Retrieval: Theory and Algorithms


相位恢復：理論與算法 Leading


RGC - General Research Fund


Project Team (HKUST)
WANG Yang (Lead)


2019 - 2021