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Wavelets and analysis, tiling, fractal geometry, digital signal processing, analog to digital conversion, supply chain managementSelected Publications
Article

A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs
 Author(s): Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Wang, Fengru; Wang, Yang; Yang, Jerry Zhijian
 Source: Communications in Computational Physics, v. 31, (4), April 2022, p. 12721295
 Year: 2022

Approximation in shiftinvariant spaces with deep ReLU neural networks
 Author(s): Yang, Yunfei; Li, Zhen; Wang, Yang
 Source: Neural Networks, v. 153, September 2022, p. 269281
 Year: 2022

Mendelian randomization for causal inference accounting for pleiotropy and sample structure using genomewide summary statistics
 Author(s): Hu, Xianghong; Zhao, Jia; Lin, Zhixiang; Wang, Yang; Peng, Heng; Zhao, Hongyu; Wan, Xiang; Yang, Can
 Source: Proceedings of the National Academy of Sciences of the United States of America, v. 119, (28), July 2022, article number e2106858119
 Year: 2022

Solving phase retrieval with random initial guess is nearly as good as by spectral initialization
 Author(s): Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
 Source: Applied and Computational Harmonic Analysis, v. 58, May 2022, p. 6084
 Year: 2022

The Global Landscape of Phase Retrieval II: Quotient Intensity Models
 Author(s): Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
 Source: Annals of Applied Mathematics, v. 38, (1), January 2022, p. 62114
 Year: 2022

An Error Analysis of Generative Adversarial Networks for Learning Distributions
 Author(s): Huang, Jian; Jiao, Yuling; Li, Zhen; Liu, Shiao; Wang, Yang; Yang, Yunfei
 Source: Journal of Machine Learning Research, v. 23, 2022, article number 116, p. 143
 Year: 2022

A new binary representation method for shape convexity and application to image segmentation
 Author(s): Luo, Shousheng; Tai, Xue Cheng; Wang, Yang
 Source: Analysis and Applications, v. 20, (3), May 2022, p. 465481
 Year: 2022

On the capacity of deep generative networks for approximating distributions
 Author(s): Yang, Yunfei; Li, Zhen; Wang, Yang
 Source: Neural Networks, v. 145, January 2022, p. 144154
 Year: 2022

HyperGaussian regularized Whittaker–Kotel’nikov–Shannon sampling series
 Author(s): Chen, Liang; Wang, Yang; Zhang, Haizhang
 Source: Analysis and Applications, 2021
 Year: 2021

The Global Landscape of Phase Retrieval I: Perturbed Amplitude Models
 Author(s): Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
 Source: Annals of Applied Mathematics, v. 37, (4), December 2021, p. 437512
 Year: 2021

Phase retrieval for subGaussian measurements
 Author(s): Gao, Bing; Liu, Haixia; Wang, Yang
 Source: Applied and Computational Harmonic Analysis, v. 53, July 2021, p. 95115
 Year: 2021

Overlapping domain decomposition methods for ptychographic imaging
 Author(s): Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, XueCheng; Wang, Yang; Zeng, Tieyong
 Source: SIAM Journal on Scientific Computing, v. 43, (3), May 2021, p. B570B597
 Year: 2021

Almost everywhere generalized phase retrieval
 Author(s): Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
 Source: Applied and Computational Harmonic Analysis, v. 50, January 2021, p. 1633
 Year: 2021

Perturbed Amplitude Flow for Phase Retrieval
 Author(s): Gao, Bing; Sun, Xinwei; Wang, Yang; Xu, Zhiqiang
 Source: IEEE Transactions on Signal Processing, v. 68, September 2020, article number 9187891, p. 54275440
 Year: 2020

Variational Single Image Dehazing for Enhanced Visualization
 Author(s): Fang, Faming; Wang, tingting; Wang, Yang; Zeng, Tieyong; Zhang, Guixu
 Source: IEEE Transactions on Multimedia, v. 22, (10), October 2020, article number 8930996, p. 25372550
 Year: 2020

Dissecting a square into congruent polygons
 Author(s): Rao, Hui; Ren, Lei; Wang, Yang
 Source: Discrete Mathematics and Theoretical Computer Science, v. 22, (1), 2020, article number 21
 Year: 2020

Highdimensional sparse Fourier algorithms
 Author(s): Choi, Bosu; Christlieb, Andrew; Wang, Yang
 Source: Numerical Algorithms, 15 July 2020
 Year: 2020

Almost everywhere injectivity conditions for the matrix recovery problem
 Author(s): Rong, Yi ; Wang, Yang; Xu, Zhiqiang
 Source: Applied and Computational Harmonic Analysis, September 2019
 Year: 2019

Fast RankOne Alternating Minimization Algorithm for Phase Retrieval
 Author(s): Cai, JianFeng ; Liu, Haixia; Wang, Yang
 Source: Journal of Scientific Computing, v.79, (1), April 2019, p. 128147
 Year: 2019

Newman cyclotomic polynomials, refinable splines and the Euler binary partition function
 Author(s): Protasov, V. Yu; Wang, Yang
 Source: Sbornik Mathematics, v.209, (12), December 2018, p. 17831802
 Year: 2018

Scattering Transform and Sparse Linear Classifiers for Art Authentication
 Author(s): Leonarduzzi, Roberto Fabio ; Liu, Haixia ; Wang, Yang
 Source: Signal Processing. , v. 150, September 2018, p. 1119
 Year: 2018

Data recovery on a manifold from linear samples: theory and computation
 Author(s): Rong, Yi ; Wang, Yang ; Cai, Jianfeng ; Xu, Zhiqiang
 Source: Annals of Mathematical Sciences and Applications. , v. 3, (1), March 2018, p. 337365
 Year: 2018

Phase Retrieval from the Magnitudes of Affine Linear Measurements
 Author(s): Gao, Bing; Sun, Qiyu; Wang, Yang ; Xu, Zhiqiang
 Source: Advances in Applied Mathematics. , v. 93, February 2018, p. 121141
 Year: 2018

Generalized Phase Retrieval: Measurement Number, Matrix Recovery and Beyond
 Author(s): Wang, Yang ; Xu, Zhiqiang
 Source: Applied and Computational Harmonic Analysis. , September 2017
 Year: 2017

Topological Invariants and Lipschitz Equivalence of Fractal Squares
 Author(s): Ruan, HuoJun; Wang, Yang
 Source: Journal of Mathematical Analysis and Applications. , v. 451, (1), July 2017, p. 327344
 Year: 2017

Robust Sparse Phase Retrieval Made Easy
 Author(s): Iwen, Mark; Viswanathan, Aditya; Wang, Yang
 Source: Applied and Computational Harmonic Analysis. , v. 42, (1), January 2017, p. 135142
 Year: 2017

Subspace clustering by (k,k)sparse matrix factorization
 Author(s): Liu, Haixia; Cai, Jianfeng; Wang, Yang
 Source: Inverse Problems and Imaging. , 11, 3, June 2017, p. 539551
 Year: 2017

Efficient Estimation of Regularization Parameters via Downsampling and the Singular Value Expansion
 Author(s): Renaut, Rosemary A.; Horst, Michael; Wang, Yang; Cochran, Douglas; Hansen, Jakob
 Source: BIT Numerical Mathematics. , v. 57, (2), June 2017, p. 499529
 Year: 2017

Fourier Bases and Fourier Frames on Selfaffine Measures
 Author(s): Dutkay, Dorin Ervin; Lai, Chunkit; Wang, Yang
 Source: Trends in Mathematics. , v. PartF3, 2017, p. 87111
 Year: 2017

Fast Phase Retrieval from Local Correlation Measurements
 Author(s): Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang
 Source: SIAM Journal on Imaging Sciences. , v. 9, (4), 2016, p. 16551688
 Year: 2016

Stable Signal Recovery from Phaseless Measurements
 Author(s): Gao, Bing; Wang, Yang; Xu, Zhiqiang
 Source: Journal of Fourier Analysis and Applications. , v. 22, (4), August 2016, p. 787808
 Year: 2016

A multiscale sublinear time Fourier algorithm for noisy data
 Author(s): Christlieb, Andrew; Lawlor, David; Wang, Yang
 Source: Applied and Computational Harmonic Analysis. , v. 40, (3), May 2016, p. 553574
 Year: 2016

On the decay of the smallest singular value of submatrices of rectangular matrices
 Author(s): Liu, Yang; Wang, Yang
 Source: AsianEuropean Journal of Mathematics. , v. 9, (4), December 2016, article number 1650075
 Year: 2016

Random Matrices and Erasure Robust Frames
 Author(s): Wang, Yang DSCI
 Source: Journal of Fourier Analysis and Applications. , August 2016, p. 116
 Year: 2016

Gabor orthonormal bases generated by the unit cubes
 Author(s): Gabardo, Jean Pierre; Lai, Chunkit; Wang, Yang
 Source: Journal of Functional Analysis. , v. 269, (5), September 2015, p. 15151538
 Year: 2015

Selfsimilar subsets of the Cantor set
 Author(s): Feng, Dejun; Rao, Hui; Wang, Yang
 Source: Advances in Mathematics. , v. 281, August 2015, p. 857885
 Year: 2015

Lipschitz equivalence of selfsimilar sets with touching structures
 Author(s): Ruan, Huojun; Wang, Yang; Xi, Lifeng
 Source: Nonlinearity. , v. 27, (6), 2014, p. 12991321
 Year: 2014

Phase retrieval from very few measurements
 Author(s): Fickus, Matthew C.; Mixon, Dustin G.; Nelson, Aaron A.; Wang, Yang
 Source: Linear Algebra and Its Applications. , v. 449, May 2014, p. 475499
 Year: 2014

Phase retrieval for sparse signals
 Author(s): Wang, Yang; Xu, Zhiqiang
 Source: Applied and Computational Harmonic Analysis. , v. 37, (3), November 2014, p. 531544
 Year: 2014

Adaptive sublinear time Fourier algorithms
 Author(s): Lawlor, David; Wang, Yang; Christlieb, Andrew
 Source: Advances in Adaptive Data Analysis. , v. 5, no. 1 (2013), p. 25
 Year: 2013

Nonlinear whirlpools versus harmonic waves in a rotating column of stratified fluid
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Ibragimov, Nail H.; Ibragimov, Ranis N.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 122131
 Year: 2013

Heat transfer in a medium in which many small particles are embedded
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Ramm, Alexander G.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 193199
 Year: 2013

A remark on the hull of a multidimensional limitperiodic potential
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Gan, Zheng
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 7581
 Year: 2013

Edge detection from truncated Fourier data using spectral mollifiers
 Author(s): Cochran, Doug; Gelb, Anne; Wang, Yang
 Source: Advances in Computational Mathematics. , v. 38, (4), 2013, p. 737762
 Year: 2013

Vakman's problem and the extension of Hilbert transform
 Author(s): Huang, Jianfeng; Wang, Yang; Yang, Lihua
 Source: Applied and Computational Harmonic Analysis. , v. 34, (2), March 2013, p. 308316
 Year: 2013

The regularity of refinable functions
 Author(s): Wang, Yang; Xu, Zhiqiang
 Source: Applied and Computational Harmonic Analysis. , v. 34, (1), January 2013, p. 142147
 Year: 2013

Source extraction in audio via background learning
 Author(s): Wang, Yang; Zhou, Zhengfang
 Source: Inverse Problems and Imaging. , v. 7, (1), 2013, p. 283290
 Year: 2013

Bayesian learning of sparse multiscale image representations
 Author(s): Hughes, James Michael; Rockmore, Daniel N.; Wang, Yang
 Source: IEEE Transactions on Image Processing. , v. 22, (12), 2013, article number 6587829, p. 49724983
 Year: 2013

An open problem in complex analytic geometry arising in harmonic analysis
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Ruzhansky, Michael V.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 230236
 Year: 2013

Stability and separation in volume comparison problems
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Koldobsky, Alexander L.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 156169
 Year: 2013

Conserved vectors for a model of nonlinear atmospheric flows around the rotating spherical surface
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Araslanov, A.M.; Galiakberova, L.R.; Ibragimov, Nail H.; Ibragimov, Ranis N.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 117
 Year: 2013

Properties of discrete framelet transforms
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Han, Bin
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 1847
 Year: 2013

Nonlinear eigenvalue problem for optimal resonances in optical cavities
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Karabash, Illya M.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 143155
 Year: 2013

Inverse scattering problem for the maxwell's equations
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Ramm, Alexander G.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 200206
 Year: 2013

Inequalities for extreme zeros of some classical orthogonal and qorthogonal polynomials
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Driver, Kathy A.; Jordaan, Kerstin
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 4859
 Year: 2013

Identifiability for linearized sinegordon equation
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Ha, Junhong; Gutman, Semion
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 106121
 Year: 2013

Continuous inversion formulas for multidimensional stockwell transforms
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Riba, L.; Wong, Manwah
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 215229
 Year: 2013

Derivatives of L p eigenfunctions of schrödinger operators
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Lukic, Milivoje
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 170174
 Year: 2013

Spectral properties of schrödingertype operators and largetime behavior of the solutions to the corresponding wave equation
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Ramm, Alexander G.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 207214
 Year: 2013

Necessary and sufficient conditions to perform Spectral Tetris
 Author(s): Casazza, Peter G.; Heinecke, Andreas M.; Kornelson, Keri A.; Wang, Yang; Zhou, Zhengfang
 Source: Linear Algebra and Its Applications. , v. 438, (5), March 2013, p. 22392255
 Year: 2013

3D data denoising using combined sparse dictionaries
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Easley, Glenn R.; Labate, Demetrio; Negi, Pooran Singh
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 6074
 Year: 2013

Boundedness of pseudodifferential operators on L p, sobolev and modulation spaces
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah; Molahajloo, Shahla; Pfander, Götz E.
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 175192
 Year: 2013

Sharp Semiclassical Bounds for the Moments of Eigenvalues for Some Schrödinger Type Operators with Unbounded Potentials
 Author(s): Damanik, David D.; Finkelshtein, Andrei Martínez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Manwah
 Source: Mathematical Modelling of Natural Phenomena. , v. 8, (1), 2013, p. 237245
 Year: 2013

Phase aliasing correction for robust blind source separation using DUET
 Author(s): Wang, Yang; Yılmaz, Özgür; Zhou, Zhengfang
 Source: Applied and Computational Harmonic Analysis. , v. 35, (2), September 2013, p. 341349
 Year: 2013

Invertibility and Robustness of Phaseless Reconstruction
 Author(s): Bǎlan, Radu V.; Wang, Yang DSCI
 Source: Applied and Computational Harmonic Analysis. , v.38, (3), May 2015, p. 469488
 Year: 2013

Coarse quantization for random interleaved sampling of bandlimited signals
 Author(s): Powell, Alexander M.; Tanner, Jared; Wang, Yang; Yılmaz, Özgür
 Source: Esaim. Mathematical Modelling And Numerical Analysis. , v. 46, (3), 2012, p. 605618
 Year: 2012

Sparse PCA by iterative elimination algorithm
 Author(s): Wang, Yang; Wu, Qiang
 Source: Advances in computational mathematics. , v. 36, (1), 2012, p. 137151
 Year: 2012

Spectral Tetris Fusion Frame Constructions
 Author(s): Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang
 Source: The journal of fourier analysis and applications. , v. 18, (4), August 2012, p. 828851
 Year: 2012

A Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows
 Author(s): Pfander, Götz E.; Rashkov, Peter; Wang, Yang
 Source: The journal of fourier analysis and applications. , v. 18, (2), April 2012, p. 223239
 Year: 2012

Mode Decomposition Evolution Equations
 Author(s): Wang, Yang; Wei, Guowei; Yang, Siyang
 Source: Journal of scientific computing. , v. 50, (3), March 2012, p. 495518
 Year: 2012

The performance of PCM quantization under tight frame representations
 Author(s): Wang, Yang; Xu, Zhiqiang
 Source: SIAM journal on mathematical analysis. , v. 44, (4), 2012, p. 28022823
 Year: 2012

Iterative Filtering Decomposition Based on Local Spectral Evolution Kernel
 Author(s): Wang, Yang; Wei, Guowei; Yang, Siyang
 Source: Journal of scientific computing. , v. 50, (3), March 2012, p. 629664
 Year: 2012

Selective extraction of entangled textures via adaptive PDE transform
 Author(s): Wang, Yang; Wei, Guowei; Yang, Siyang
 Source: International Journal of Biomedical Imaging. , v. 2012, 2012
 Year: 2012

Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
 Author(s): Rao, Hui; Ruan, Huojun; Wang, Yang
 Source: Transactions of the American Mathematical Society. , v. 364, (3), March 2012, p. 11091126
 Year: 2012

Empirical mode decomposition analysis for visual stylometry
 Author(s): Hughes, James Michael; Mao, Dong; Rockmore, Daniel N.; Wang, Yang; Wu, Qiang
 Source: IEEE Transactions on Pattern Analysis and Machine Intelligence. , v. 34, (11), 2012, p. 21472157
 Year: 2012

Mathematical methods for images and surfaces 2011
 Author(s): Guo, Weihong; Udpa, Lalita; Wang, Yang; Wei, Guowei; Zhao, Shan
 Source: International Journal of Biomedical Imaging,. , v. 2012, 2012, Article number 419647
 Year: 2012

Constructing tight fusion frames
 Author(s): Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
 Source: Applied and computational harmonic analysis. , v. 30, (2), 2011, p. 175187
 Year: 2011

Partial differential equation transform: Variational formulation and Fourier analysis
 Author(s): Wang, Yang; Wei, Guowei; Yang, Siyang
 Source: International journal for numerical methods in biomedical engineering. , v. 27, (12), December 2011, p. 19962020
 Year: 2011

Reconstruction from irregular Fourier samples and Gaussian spectral mollifiers
 Author(s): Wang, Long; Wang, Yang
 Source: Fast East Journal of Mathematics\v. 53 no. 2, 2011, p. 109121.
 Year: 2011

Modeling and simulation of the horizontal component of the geomagnetic field by fractional stochastic differential equations in conjunction with empirical mode decomposition
 Author(s): Yu, Zuguo; Anh, Vo V.; Wang, Yang; Mao, Dong; Wanliss, James A.
 Source: Journal of geophysical research: Space Physics. , v. 115, (10), 2010
 Year: 2010

The golden ratio encoder
 Author(s): Daubechies, Ingrid C.; Güntürk, C. Sinan; Wang, Yang; Yılmaz, Özgür
 Source: IEEE Transactions on Information Theory. , v. 56, (10), 2010, p. 50975110
 Year: 2010

Classification of Refinable Splines in ℝd
 Author(s): Dai, Xinrong; Wang, Yang
 Source: Constructive approximation. , v. 31, (3), 2010, p. 343358
 Year: 2010

Mathematical methods for images and surfaces
 Author(s): Wei, Guowei; Udpa, Lalita; Wang, Yang; Zhao, Shan
 Source: International Journal of Biomedical Imaging. , v. 2010, 2010, Article number 918467
 Year: 2010

On the structures of generating iterated function systems of Cantor sets
 Author(s): Feng, Dejun; Wang, Yang
 Source: Advances in mathematics. , v. 222, (6), 2009, p. 19641981
 Year: 2009

Convergence of a convolutionfilteringbased algorithm for empirical mode decomposition
 Author(s): Huang, Chao; Yang, Lihua; Wang, Yang
 Source: Advances in Adaptive Data Analysis. , v. 1, (4), 2009, p. 561571
 Year: 2009

Iterative filtering as an alternative algorithm for empirical mode decomposition
 Author(s): Lin, Luan; Wang, Yang; Zhou, Haomin
 Source: Advances in Adaptive Data Analysis. , v. 1, (4), 2009, p. 543560
 Year: 2009

The β αEncoders for robust A/D conversion
 Author(s): Jiménez, David; Wang, Yang
 Source: Acta Applicandae Mathematicae. , v. 107, (13), 2009, p. 313323
 Year: 2009

Lattice quantization error for redundant representations
 Author(s): Borodachov, Sergiy V.; Wang, Yang
 Source: Applied and computational harmonic analysis. , v. 27, (3), November 2009, p. 334341
 Year: 2009

Constructions and existence of tight fusion frames
 Author(s): Casazza, Peter G.; Fickus, Matthew C.; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
 Year: 2009

Sigmadelta quantization errors and the traveling salesman problem
 Author(s): Wang, Yang
 Source: Advances in computational mathematics. , v. 28, (2), 2008, p. 101118
 Year: 2008

Refinable functions with noninteger dilations
 Author(s): Dai, Xinrong; Feng, Dejun; Wang, Yang
 Source: Journal of functional analysis. , v. 250, (1), 2007, p. 120
 Year: 2007

Structure of refinable splines
 Author(s): Dai, Xinrong; Feng, Dejun; Wang, Yang
 Source: Applied and computational harmonic analysis. , v. 22, (3), 2007, p. 374381
 Year: 2007

White noise hypothesis for uniform quantization errors
 Author(s): Jiménez, David; Wang, Long; Wang, Yang
 Source: SIAM journal on mathematical analysis. , v. 38, (6), 2007, p. 20422056
 Year: 2007

On Refinable Sets
 Author(s): Dai, Xinrong; Wang, Yang
 Source: Methods and Applications of Analysis. , v. 14 no. 2, (2007) p. 165 – 178
 Year: 2007

Simultaneous translational and multiplicative tiling and wavelet sets in ℝ2
 Author(s): Ionaşcu, Eugen J.; Wang, Yang
 Source: Indiana University mathematics journal. , v. 55, (6), 2006, p. 19351949
 Year: 2006

Total variation waveletbased medical image denoising
 Author(s): Wang, Yang; Zhou, Haomin
 Source: International Journal of Biomedical Imaging. , v. 2006, 2006
 Year: 2006

Classification of refinable splines
 Author(s): Dai, Xinrong; Feng, Dejun; Wang, Yang
 Source: Constructive approximation. , v. 24, (2), 2006, p. 187200
 Year: 2006

Generation of finite tight frames by Householder transformations
 Author(s): Feng, Dejun; Wang, Long; Wang, Yang
 Source: Advances in computational mathematics. , v. 24, (14), 2006, p. 297309
 Year: 2006

Some properties of spectral measures
 Author(s): Łaba, Izabella; Wang, Yang
 Source: Applied and computational harmonic analysis. , v. 20, (1), January 2006, p. 149157
 Year: 2006

Selfsimilar measures associated to IFS with nonuniform contraction ratios
 Author(s): Ngai, Sze Man; Wang, Yang
 Source: The Asian journal of mathematics. , v. 9, (2), June 2005, p. 227244
 Year: 2005

A class of selfaffine sets and selfaffine measures
 Author(s): Feng, Dejun; Wang, Yang
 Source: The journal of fourier analysis and applications. , v. 11, (1), 2005, p. 107124
 Year: 2005

Absolute continuity of selfsimilar measures and Bernoulli convolutions
 Author(s): Ngai, Sze Man; Wang, Yang
 Source: Asian Journal of Mathematics. , v. 9, (2), 2005, p. 224227
 Year: 2005

Quantum integers and cyclotomy
 Author(s): Borisov, Alexander O.; Nathanson, Melvyn B.; Wang, Yang
 Source: Journal of number theory. , v. 109, (1), 2004, p. 120135
 Year: 2004

Bernoulli convolutions associated with certain nonPisot numbers
 Author(s): Feng, Dejun; Wang, Yang
 Source: Advances in mathematics. , v. 187, (1), 2004, p. 173194
 Year: 2004

Sparse complete Gabor systems on a lattice
 Author(s): Wang, Yang
 Source: Applied and computational harmonic analysis. , v. 16, (1), 2004, p. 6067
 Year: 2004

The existence of Gabor bases and frames
 Author(s): Han, Deguang; Wang, Yang
 Source: Contemporary Math.. , v. 345, 2004, special issue, p. 183192
 Year: 2004

Substitution Delone sets
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Discrete & Computational Geometry. , v. 29, (2), 2003, p. 175209
 Year: 2003

The uniformity of nonuniform Gabor bases
 Author(s): Liu, Youming; Wang, Yang
 Source: Advances in computational mathematics. , v. 18, (24), 2003, p. 345355
 Year: 2003

Selfaffine tiling via substitution dynamical systems and Rauzy fractals
 Author(s): Sirvent, Víctor F.; Wang, Yang
 Source: Pacific journal of mathematics. , v. 206, (2), 2002, p. 465485
 Year: 2002

On spectral Cantor measures
 Author(s): Łaba, Izabella; Wang, Yang
 Source: Journal of functional analysis. , v. 193, (2), 2002, p. 409420
 Year: 2002

Wavelets, tiling, and spectral sets
 Author(s): Wang, Yang
 Source: Duke mathematical journal. , v. 114, (1), 2002, p. 4357
 Year: 2002

Disklike selfaffine tiles in ℝ2
 Author(s): Bandt, Christoph; Wang, Yang
 Source: Discrete & Computational Geometry. , v. 26, (4), 2001, p. 591601
 Year: 2001

Lattice tiling and the WeylHeisenberg frames
 Author(s): Han, Deguang; Wang, Yang
 Source: Geometric and functional analysis. , v. 11, (4), 2001, p. 742758
 Year: 2001

On the number of Daubechies scaling functions and a conjecture of Chyzak et al.
 Author(s): Wang, Yang
 Source: Experimental mathematics. , v. 10, (1), 2001, p. 8789
 Year: 2001

Subdivision schemes and refinement equations with nonnegative masks
 Author(s): Wang, Yang
 Source: Journal of approximation theory. , v. 113, (2), 2001, p. 207220
 Year: 2001

Universal spectra, universal tiling sets and the spectral set conjecture
 Author(s): Pedersen, Steen; Wang, Yang
 Source: Mathematica Scandinavica. , v. 88, (2), 2001, p. 246256
 Year: 2001

Hausdorff dimension of selfsimilar sets with overlaps
 Author(s): Ngai, Sze Man; Wang, Yang
 Source: Journal of the London Mathematical Society. , v. 63, (3), June 2001, p. 655672
 Year: 2001

On 2Reptiles in the Plane
 Author(s): Ngai, Sze Man; Sirvent, Víctor F.; Veerman, J.J.P.; Wang, Yang
 Source: Geometriae dedicata. , v. 82, (13), 2000, p. 325344
 Year: 2000

Orthonormal bases of exponentials for the ncube
 Author(s): Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang
 Source: Duke mathematical journal. , v. 103, (1), 2000, p. 2537
 Year: 2000

Orthogonality criteria for compactly supported refinable functions and refinable function vectors
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: The journal of fourier analysis and applications. , v. 6, (2), 2000, p. 153170
 Year: 2000

Haar bases for L^{2}(ℝ^{n}) and algebraic number theory
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of Number Theory, v. 76, (2), June 1999, p. 330336
 Year: 1999

Arbitrarily smooth orthogonal nonseparable wavelets in ℝ2
 Author(s): Belogay, Eugene; Wang, Yang
 Source: SIAM journal on mathematical analysis. , v. 30, (3), 1999, p. 678697
 Year: 1999

Geometry of SelfAffine Tiles I
 Author(s): Strichartz, Robert S.; Wang, Yang
 Source: Indiana University mathematics journal. , v. 48, (1), 1999, p. 123
 Year: 1999

Geometry of SelfAffine Tiles II
 Author(s): Kenyon, Richard W.; Li, Jie; Strichartz, Robert S.; Wang, Yang
 Source: Indiana University mathematics journal. , v. 48, (1), 1999, p. 2542
 Year: 1999

Compactly supported orthogonal symmetric scaling functions
 Author(s): Belogay, Eugene; Wang, Yang
 Source: Applied and computational harmonic analysis. , v. 7, (2), September 1999, p. 137150
 Year: 1999

HaarType Multiwavelet Bases and SelfAffine MultiTiles
 Author(s): Flaherty, Tim; Wang, Yang
 Source: Asian Journal of Mathematics. , v. 3, (2), 1999, p. 387400
 Year: 1999

Haar bases for L2(Rn) and algebraic number theory
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of number theory. , v. 76, (2), 1999, p. 330336
 Year: 1999

On the use of highorder ambiguity function for multicomponent polynomial phase signals
 Author(s): Wang, Yang; Zhou, Guotong
 Source: Signal processing. , v. 65, (2), 1998, p. 283296
 Year: 1998

Integral selfaffine tiles in ℝ^{n} part II: Lattice tilings
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of Fourier Analysis and Applications, v. 3, (1), Jamuary 1997, p. 83102
 Year: 1997

Integral SelfAffine Tiles in ℝn Part II: Lattice Tilings
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: The journal of fourier analysis and applications. , v. 3, (1), 1997, p. 83102
 Year: 1997

Spectral sets and factorizations of finite Abelian groups
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of functional analysis. , v. 145, (1), April 1997, p. 7398
 Year: 1997

Exploring Lag Diversity in the HighOrder Ambiguity Function for Polynomial Phase Signals
 Author(s): Zhou, Guotong; Wang, Yang
 Source: IEEE Signal Processing Letters. , v. 4, (8), 1997, p. 240242
 Year: 1997

Haar bases for L^{2}(ℝ^{n}) and algebraic number theory
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of Number Theory, v. 57, (1), March 1996, article number 0042, p. 181197
 Year: 1996

Selfaffine tiles in ℝ^{n}
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Advances in Mathematics, v. 121, (1), July 1996, p. 2149
 Year: 1996

Integral SelfAffine Tiles in ℝ^{n} I. Standard and Nonstandard Digit Sets
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of the London Mathematical Society, v. 54, (1), August 1996, p. 161179
 Year: 1996

Nonnegative radix representations for the orthant R_{+}^{n}
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Transactions of the American Mathematical Society, v. 348, (1), January 1996, p. 99117
 Year: 1996

Selfaffine tiles in ℝn
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Advances in mathematics. , v. 121, (1), 1996, p. 2149
 Year: 1996

Haar bases for L2(ℝn) and algebraic number theory
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of number theory. , v. 57, (1), 1996, p. 181197
 Year: 1996

Tiling the line with translates of one tile
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Inventiones mathematicae. , v. 124, (13), 1996, p. 341365
 Year: 1996

Integral selfaffine tiles in R(n) .1. Standard and nonstandard digit sets
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of the London Mathematical Society. , v. 54, (1), August 1996, p. 161179
 Year: 1996

Nonnegative radix representations for the orthant R(+)(n)
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Transactions of the American Mathematical Society. , v. 348, (1), January 1996, p. 99117
 Year: 1996

Twoscale dilation equations and the mean spectral radius
 Author(s): Wang, Yang
 Source: Random and Computational Dynamics. , v. 4, 1996, p. 4972.
 Year: 1996

Haar Type Orthonormal Wavelet Bases in R^{2}
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of Fourier Analysis and Applications, v. 2, (1), February 1995, p. 114
 Year: 1995

The finiteness conjecture for the generalized spectral radius of a set of matrices
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Linear algebra and its applications. , v. 214, (C), 1995, p. 1742
 Year: 1995

Existence and Regularity of Solutions to a Variational Problem of Mumford and Shah: A Constructive Approach
 Author(s): Wang, Yang
 Source: SIAM journal on optimization. , v. 5, (4), November 1995, p. 892913
 Year: 1995

Haar Type Orthonormal Wavelet Bases in R2
 Author(s): Lagarias, Jeffrey C.; Wang, Yang
 Source: Journal of Fourier Analysis and Applications. , v. 2, (1), February 1995, p. 114
 Year: 1995

Twoscale dilation equations and the cascade algorithm
 Author(s): Wang, Yang
 Source: Random and Computational Dynamics. , v. 3, 1995, p. 289309
 Year: 1995

Nonexistence of Brownian models for certain multiclass queueing networks
 Author(s): Dai, Jim; Wang, Yang
 Source: Queueing Systems: Theory and Applications, v. 13, (13), March 1993, p. 4146
 Year: 1993

On the nonexistence of limiting processes for Browning models of multiclass queeing networks
 Author(s): Wang, Yang; Dai, Jim
 Source: Queueing Systems Theory and Applications. , v. 13 (1993), p. 4146
 Year: 1993

Bounded semigroups of matrices
 Author(s): Berger, Marc A.; Wang, Yang
 Source: Linear algebra and its applications. , v. 166, (C), 1992, p. 2127
 Year: 1992

On the order and number of zero divisors of a finite ring
 Author(s): Wang, Yang
 Source: Journal of University of Science and Technology of China. , September 1982, p. 140142
 Year: 1982
Book chapter

Optimal ℓ ^{1} Rank One Matrix Decomposition
 Author(s): Balan, Radu; Okoudjou, Kasso A.; Rawson, Michael; Wang, Yang; Zhang, Rui
 Source: Harmonic Analysis and Applications /Edited by Michael Th. Rassias. Switzerland : Springer, Cham, 2021, p. 2141, Book series: Springer Optimization and Its Applications, v. 168
 Year: 2021

Optimal ℓ 1 Rank One Matrix Decomposition
 Author(s): Balan, Radu; Okoudjou, Kasso A.; Rawson, Michael; Wang, Yang; Zhang, Rui
 Source: Harmonic Analysis and Applications / Edited by Michael Th. Rassias. Switzerland : Springer, Cham, 2021, p. 2141, Book series: Springer Optimization and Its Applications, v.168
 Year: 2021

A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging
 Author(s): Benedetto, John J.; NavaTudela, Alfredo; Powell, Alexander M.; Wang, Yang
 Source: 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, DingXuan Zhou. Switzerland : Springer, 2017, p. 185213, Book series: Ap
 Year: 2017

Stylometry and mathematical study of authorship
 Author(s): Hu, Xianfeng; Wang, Yang; Wu, Qiang
 Source: New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis / Akram Aldroubi, Carlos Cabrelli, Stephane Jaffard, Ursula Molter, Editors. Switzerland : Springer, 2016, p. 281300, Book series: New Trends i
 Year: 2016

On the convergence of iterative filtering empirical mode decomposition
 Author(s): Zhou, Zhengfang; Wang, Yang
 Source: Excursions in Harmonic Analysis, Volume 2: The February Fourier Talks at the Norbert Wiener Center / Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou, Editors. New York : Springer, 2013, p. 157172, Book series: Applied
 Year: 2013

Selfaffine tiles
 Author(s): Wang, Yang
 Source: Advances in Wavelets. , / edited by KaSing Lau. 1st ed., Springer, 1999, p. 261285
 Year: 1999

Multidimensional twoscale dilation equations
 Author(s): Wang, Yang; Berger, Marc A.
 Source: Wavelets: a tutorial in theory and applications. , / edited by Charles K. Chui. Boston : Academic Press, ©1992, p.295325
 Year: 1992
Conference paper

Nonasymptotic Error Bounds for Bidirectional GANs
 Author(s): Liu, Shiao; Yang, Yunfei; Huang, Jian; Jiao, Yuling; Wang, Yang
 Source: , 35th Conference on Neural Information Processing Systems, NeurIPS 2021, Virtual , 614 December 2021
 Year: 2021

Generalized Linear Bandits with Local Differential Privacy
 Author(s): Han, Yuxuan; Liang, Zhipeng; Wang, Yang; Zhang, Jiheng
 Source: , Advances in Neural Information Processing Systems, Virtual, 614 December 2021
 Year: 2021

Explore Mindfulness Without Deflection: A Data Art Based on the Book of Songs
 Author(s): Wang, Yifang; Wang, Yang; Cao, Yang; Qu, Huamin; Tang, Junxiu; Wu, Yingcai
 Source: Proceedings  2021 IEEE VIS Arts Program, VISAP 2021, October 2021, p. 7384
 Year: 2021

Deep Generative Learning via Schrödinger Bridge
 Author(s): Wang, Gefei; Jiao, Yuling; Xu, Qian; Wang, Yang; Yang, Can
 Source: Proceedings of Machine Learning Research, v. 139, July 2021, p. 1079410804
 Year: 2021

Learning Hybrid Representations for Automatic 3D Vessel Centerline Extraction
 Author(s): He, Jiafa; Pan, Chengwei; Yang, Can; Zhang, Ming; Wang, Yang; Zhou, Xiaowei; Yu, Yizhou
 Source: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 12266 LNCS, 2020, p. 2434
 Year: 2020

Convex Shape Prior for MultiObject Segmentation Using a Single Level Set Function
 Author(s): Luo, Shousheng; Tai, Xue Cheng; Huo, Limei; Wang, Yang; Glowinski, Roland
 Source: Proceedings: 2019 International Conference on Computer Vision, ICCV 2019 / IEEE. Piscataway, NJ : IEEE, 2019, p. 613621
 Year: 2019

Datadriven method for 3D axissymmetric object reconstruction from single conebeam projection data
 Author(s): Luo, Shousheng; Meng, Ruyue; Wei, Suhua; Cai, Jianfeng; Tai, Xuecheng; Wang, Yang
 Source: ACM International Conference Proceeding Series, August 2019, p. 288292
 Year: 2019

Lowdose Xray computed tomography image reconstruction using edge sparsity regularization
 Author(s): Luo, Shousheng; Kang, Keke; Wang, Yang; Tai, Xuecheng
 Source: ACM International Conference Proceeding Series, August 2019, p. 303307
 Year: 2019

An Iteration Method for XRay CT Reconstruction from VariableTruncation Projection Data
 Author(s): Huo, Limei; Luo, Shousheng; Dong, Yiqiu; Tai, Xuecheng; Wang, Yang
 Source: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 11603 LNCS, 2019, p. 144155
 Year: 2019

Deep Generative Learning via Variational Gradient Flow
 Author(s): Gao, Yuan ; Jiao, Yuling; Wang, Yang; Wang, Yao; Yang, Can; Zhang, Shunkang
 Source: , 36th International Conference on Machine Learning, ICML 2019, Long Beach, 1113 June 2019
 Year: 2019

Datadriven tight frame for CryoEM image denoising and conformational classification
 Author(s): Xian, Yin ; Gu, Hanlin ; Wang, Wei CHEM; Huang, Xuhui CHEM; Yao, Yuan ; Wang, Yang ; Cai, Jianfeng
 Source: 2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018  Proceedings, February 2019, article number 8646614, p. 544548
 Year: 2019

Synchronized Recovery Method for MultiRank Symmetric Tensor Decomposition
 Author(s): Liu, Haixia; Miao, Lizhang ; Wang, Yang
 Source: Mathematics and Visualization, (221219), 2018, p. 241251
 Year: 2018

Tiling Z^{2} by a Set of Four Elements
 Author(s): Feng, DeJun; Wang, Yang
 Source: Fractal Geometry and Stochastics V. , Editors: Christoph Bandt, Kenneth Falconer, Martina Zähle. Cham : Birkhäuser, 2015, p. 93103, Progress in Probability, vol 70
 Year: 2015

Nonstationary noise estimation using dictionary learning and Gaussian mixture models
 Author(s): Hughes, James M.; Rockmore, Daniel N.; Wang, Yang
 Source: Proceedings of SPIE  The International Society for Optical Engineering, v. 9019, 2014, article number 90190L
 Year: 2014

Speeding up scientific imaging workflows: Design of automated image annotation tool
 Author(s): Colbry, Dirk; Dyer, Fred C.; Dworkin, Ian Michael; Wang, Yang; Wang, Lifeng
 Source: 2013 1st IEEE Workshop on UserCentered Computer Vision, UCCV 2013. , 2013, p. 1318
 Year: 2013

Spectral Tetris Fusion Frame Constructions
 Author(s): Casazza, Peter G.; Fickus, Matthew C.; Heinecke, Andreas M.; Wang, Yang; Zhou, Zhengfang
 Source: Proceedings of SPIEthe international society for optical engineering. , v. 8138, (813816), 2011
 Year: 2011

Lattice quantization error for redundant representations
 Author(s): Borodachov, Sergiy V.; Wang, Yang
 Source: Proceedings of SPIEthe international society for optical engineering. , v. 7446, 2009
 Year: 2009

Multifractal analysis and authentication of Jackson Pollock paintings
 Author(s): Coddington, Jim; Elton, John H.; Rockmore, Daniel N.; Wang, Yang
 Source: Proceedings of SPIEthe international society for optical engineering. , v. 6810, 2008
 Year: 2008

Robustness of tonal and segmental information in noise  Auditory and visual contributions
 Author(s): Mixdorff, Hansjörg; Wang, Yuping; Hu, Yu
 Source: Proceedings of the 4th International Conference on Speech Prosody, SP 2008. , 2008, p. 261264
 Year: 2008

Asymptotic white noise hypothesis for PCM quantization
 Author(s): Borodachov, Sergiy V.; Wang, Yang
 Source: CISS 2008, The 42nd Annual Conference on Information Sciences and Systems. , 2008, p. 733736
 Year: 2008

βαEncoders for A/D conversion
 Author(s): Jiménez, David; Wang, Yang
 Source: Proceedings of SPIE  The International Society for Optical Engineering, v. 6701, 2007, article number 670107
 Year: 2007

beta alphaencoders for A/D conversion  art. no. 670107
 Author(s): Jiménez, David; Wang, Yang
 Source: Proceedings of SPIEthe international society for optical engineering, Wavelets XII, San Diego, CA, United States, 2629 August 2007. , v. 6701, 2007, p. 70107
 Year: 2007

On the use of high order ambiguity function for multicomponent polynomial phase signals
 Author(s): Wang, Yang; Zhou, Guotong
 Source: ICASSP proceedings. , v. 5, 1997, p. 36293632
 Year: 1997
Other

Correction to: The Structure of Multiplicative Tilings of the Real Line
 Author(s): Kolountzakis, Mihail N.; Wang, Yang
 Source: Journal of Fourier Analysis and Applications, v. 28, (1), February 2021, article number 8
 Year: 2021
Preprint

Nonspectral fractal measures with Fourier frames
 Author(s): Lai, ChunKit; Wang, Yang
 Year: 2015