# zbMATH — the first resource for mathematics

## Applied and Computational Harmonic Analysis

### Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications

 Short Title: Appl. Comput. Harmon. Anal. Publisher: Elsevier (Academic Press), Orlando, FL ISSN: 1063-5203 Online: http://www.sciencedirect.com/science/journal/10635203 Comments: Indexed cover-to-cover
 Documents Indexed: 1,290 Publications (since 1993) References Indexed: 1,149 Publications with 34,189 References.
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#### Latest Issues

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#### Authors

 31 Chui, Charles Kam-tai 25 Coifman, Ronald Raphaël 24 Han, Bin 22 Shen, Zuowei 20 Beylkin, Gregory 19 Averbuch, Amir Z. 16 Rokhlin, Vladimir 13 Christensen, Ole 13 Goh, Say Song 13 Sun, Qiyu 12 Aldroubi, Akram 12 Fickus, Matthew C. 12 Jiang, Qingtang 12 Kutyniok, Gitta 12 Mhaskar, Hrushikesh N. 12 Shen, Lixin 12 Zhou, Dingxuan 11 Labate, Demetrio 11 Monzón, Lucas 10 Daubechies, Ingrid Chantal 10 Gribonval, Rémi 10 Wang, Yang 9 Casazza, Peter George 9 Han, Deguang 9 Kim, Hong Oh 9 Li, Song 9 Mixon, Dustin G. 9 Shkolnisky, Yoel 9 Unser, Michael A. 9 Vandergheynst, Pierre 9 Wu, Hau-Tieng 9 Zhuang, Xiaosheng 8 Baraniuk, Richard G. 8 Cohen, Albert 8 Dong, Bin 8 Donoho, David Leigh 8 Dyn, Nira 8 Iglewska-Nowak, Ilona 8 Ji, Hui 8 Lai, Mingjun 8 Meyer, Yves F. 8 Nielsen, Morten 8 Pfander, Götz E. 8 Rauhut, Holger 8 Sun, Wenchang 8 Wolf, Guy 8 Xu, Yuesheng 7 Adcock, Ben 7 Bermanis, Amit 7 Cai, Jian-Feng 7 Candès, Emmanuel J. 7 Cloninger, Alexander 7 Eldar, Yonina Chana 7 Führ, Hartmut 7 Gröchenig, Karlheinz 7 Grohs, Philipp 7 Kim, Rae Young 7 Saito, Naoki 7 Singer, Amit 7 Stöckler, Joachim 7 Zhou, Xingwei 6 Antoine, Jean-Pierre 6 Bodmann, Bernhard G. 6 Bremer, James C. 6 Cabrelli, Carlos A. 6 Elad, Michael 6 Goodman, Timothy N. T. 6 Guo, Kanghui 6 He, Wenjie 6 Li, Shidong 6 Mallat, Stephane Georges 6 Salhov, Moshe 6 Strohmer, Thomas 6 Tygert, Mark 6 Wang, Jianzhong 6 Wilson, Edward N. 6 Yang, Haizhao 5 Benedetto, John J. 5 Bownik, Marcin 5 Calderbank, Arthur Robert 5 Chan, Raymond Hon-Fu 5 Charina, Maria 5 Chen, Dirong 5 Cordero, Elena 5 Davenport, Mark A. 5 Giryes, Raja 5 Hansen, Anders C. 5 Hernandez, Eugenio 5 Jaffard, Stéphane 5 Lim, Jae Kun 5 Maggioni, Mauro 5 Osipov, Andreĭ V. 5 Plonka, Gerlind 5 Potts, Daniel 5 Saab, Rayan 5 Schneider, Kai 5 Shi, Xianliang 5 Skopina, Maria A. 5 Tanner, Jared W. 5 Torrésani, Bruno S. ...and 1,434 more Authors
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#### Fields

 722 Harmonic analysis on Euclidean spaces (42-XX) 452 Information and communication theory, circuits (94-XX) 369 Numerical analysis (65-XX) 144 Computer science (68-XX) 125 Approximations and expansions (41-XX) 113 Statistics (62-XX) 79 Functional analysis (46-XX) 70 Probability theory and stochastic processes (60-XX) 59 Partial differential equations (35-XX) 51 Operations research, mathematical programming (90-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 41 Operator theory (47-XX) 33 Abstract harmonic analysis (43-XX) 29 Special functions (33-XX) 27 Combinatorics (05-XX) 26 Biology and other natural sciences (92-XX) 25 Integral transforms, operational calculus (44-XX) 21 Systems theory; control (93-XX) 15 Quantum theory (81-XX) 14 Real functions (26-XX) 14 Measure and integration (28-XX) 14 Integral equations (45-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Potential theory (31-XX) 12 Topological groups, Lie groups (22-XX) 12 Ordinary differential equations (34-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Functions of a complex variable (30-XX) 10 Optics, electromagnetic theory (78-XX) 9 Geophysics (86-XX) 8 Group theory and generalizations (20-XX) 7 Number theory (11-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 6 Fluid mechanics (76-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

1,081 Publications have been cited 15,165 times in 7,689 Documents Cited by Year
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
2003
Diffusion maps. Zbl 1095.68094
Coifman, Ronald R.; Lafon, Stéphane
2006
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
1993
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
2009
Grassmannian frames with applications to coding and communication. Zbl 1028.42020
Strohmer, Thomas; Heath, Robert W. jun.
2003
Iterative hard thresholding for compressed sensing. Zbl 1174.94008
Blumensath, Thomas; Davies, Mike E.
2009
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
1996
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
1995
The theory of multiresolution analysis frames and applications to filter banks. Zbl 0915.42029
Benedetto, John J.; Li, Shidong
1998
Sparsest solutions of underdetermined linear systems via $$\ell _q$$-minimization for $$0<q\leqslant 1$$. Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
2009
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
2006
Quantized frame expansions with erasures. Zbl 0992.94009
Goyal, Vivek K.; Kovačević, Jelena; Kelner, Jonathan A.
2001
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2002
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
2008
On dual wavelet tight frames. Zbl 0880.42017
Han, Bin
1997
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
1993
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
2008
Diffusion wavelets. Zbl 1095.94007
Coifman, Ronald R.; Maggioni, Mauro
2006
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
2000
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
1999
Compressed sensing with coherent and redundant dictionaries. Zbl 1215.94026
Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna; Randall, Paige
2011
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
2005
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
2005
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
1999
Detection of edges in spectral data. Zbl 0952.42001
1999
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
2008
On approximation of functions by exponential sums. Zbl 1075.65022
Beylkin, Gregory; Monzón, Lucas
2005
Incompleteness of sparse coherent states. Zbl 0855.42024
Ramanathan, Jayakumar; Steger, Tim
1995
On the stability of frames and Riesz bases. Zbl 0829.46006
Favier, S. J.; Zalik, R. A.
1995
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
2007
From graph to manifold Laplacian: the convergence rate. Zbl 1095.68102
Singer, A.
2006
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
2004
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
1996
Frames for operators. Zbl 1230.42038
Găvruţa, Laura
2012
On the fast Fourier transform of functions with singularities. Zbl 0838.65142
Beylkin, G.
1995
Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
Easley, Glenn; Labate, Demetrio; Lim, Wang-Q
2008
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
2009
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
2005
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.; Kevrekidis, Ioannis G.
2006
Saving phase: injectivity and stability for phase retrieval. Zbl 1305.90330
Bandeira, Afonso S.; Cahill, Jameson; Mixon, Dustin G.; Nelson, Aaron A.
2014
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
2004
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
2011
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
1999
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
1996
Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
Singer, A.
2011
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
1993
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
2003
Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
Kingsbury, Nick
2001
Wavelets on graphs via spectral graph theory. Zbl 1213.42091
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi
2011
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
Abreu, Luís Daniel
2010
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2011
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
2005
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
2007
A characterization of affine dual frames in $$L^2(\mathbb{R}^n)$$. Zbl 0961.42018
Bownik, Marcin
2000
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
Aldroubi, Akram
2002
Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059
Trimèche, K.
1997
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
2013
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
2000
Approximation by exponential sums revisited. Zbl 1189.65035
Beylkin, Gregory; Monzón, Lucas
2010
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
1994
A wavelet collocation method for the numerical solution of partial differential equations. Zbl 0853.65122
Bertoluzza, S.; Naldi, G.
1996
Harmonic analysis of neural networks. Zbl 0931.68104
Candès, Emmanuel J.
1999
Convergence of vector subdivision schemes in Sobolev spaces. Zbl 1006.65153
Chen, Di-Rong; Jia, Rong-Qing; Riemenschneider, S. D.
2002
Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
Han, Bin
2012
The cosparse analysis model and algorithms. Zbl 1261.94018
Nam, S.; Davies, M. E.; Elad, M.; Gribonval, R.
2013
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
Han, Bin
2010
Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward
2006
Analysis of multiwindow Gabor-type schemes by frame methods. Zbl 0885.42024
Zibulski, Meir; Zeevi, Yehoshua Y.
1997
Explicit construction of framelets. Zbl 0984.42022
Petukhov, Alexander
2001
Concentration estimates for learning with $$\ell ^{1}$$-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
2011
An algebraic characterization of injectivity in phase retrieval. Zbl 1354.42003
Conca, Aldo; Edidin, Dan; Hering, Milena; Vinzant, Cynthia
2015
Wavelet bi-frames with few generators from multivariate refinable functions. Zbl 1221.42062
Ehler, Martin; Han, Bin
2008
Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for $$L^2(\mathbb R{^d})$$. Zbl 1060.42025
Aldroubi, Akram; Cabrelli, Carlos; Molter, Ursula M.
2004
Random sampling of sparse trigonometric polynomials. Zbl 1123.94004
Rauhut, Holger
2007
Nonstationary wavelets on the $$m$$-sphere for scattered data. Zbl 0858.42025
Narcowich, Francis J.; Ward, Joseph D.
1996
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
2001
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
Bodmann, Bernhard G.
2007
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
Sun, Hongwei; Wu, Qiang
2011
Combined spherical harmonic and wavelet expansion – a future concept in earth’s gravitational determination. Zbl 0865.42029
Freeden, W.; Windheuser, U.
1997
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
1999
Smooth wavelet tight frames with zero moments. Zbl 0972.42025
Selesnick, Ivan W.
2001
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
2014
A characterization of dimension functions of wavelets. Zbl 0979.42018
Bownik, Marcin; Rzeszotnik, Ziemowit; Speegle, Darrin
2001
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
2006
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
Coifman, Ronald R.; Lafon, Stéphane
2006
Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale $$=3$$. Zbl 0814.42016
Chui, Charles K.; Lian, Jian-Ao
1995
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi
2015
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
2012
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
2008
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
2005
Stereographic wavelet frames on the sphere. Zbl 1082.42026
Bogdanova, I.; Vandergheynst, P.; Antoine, J.-P.; Jacques, L.; Morvidone, M.
2005
Interpolation via weighted $$\ell_{1}$$ minimization. Zbl 1333.41003
Rauhut, Holger; Ward, Rachel
2016
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
2009
Wavelets on ultrametric spaces. Zbl 1079.42028
Khrennikov, A. Yu.; Kozyrev, S. V.
2005
Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications. Zbl 1135.42013
Xian, Jun; Li, Song
2007
Exponential spectra in $$L^2(\mu)$$. Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
2013
Some properties of spectral measures. Zbl 1096.42017
Łaba, Izabella; Wang, Yang
2006
Spectral approximation of the free-space heat kernel. Zbl 0959.65111
Greengard, Leslie; Lin, Patrick
2000
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
2005
Time-frequency analysis on modulation spaces $$M_{m}^{p,q}$$, $$0 < p,q \leqslant \infty$$. Zbl 1040.42025
Galperin, Yevgeniy V.; Samarah, Salti
2004
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120
Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni
2021
Spectrality of self-affine Sierpinski-type measures on $$\mathbb{R}^2$$. Zbl 1460.42008
Dai, Xin-Rong; Fu, Xiao-Ye; Yan, Zhi-Hui
2021
Almost everywhere generalized phase retrieval. Zbl 1460.42048
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
2021
Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
Alaifari, Rima; Grohs, Philipp
2021
Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
Li, Weilin; Liao, Wenjing
2021
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. Zbl 1467.42054
Chui, Charles K.; Han, Ningning
2021
Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 07364559
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna
2021
The recovery of complex sparse signals from few phaseless measurements. Zbl 1460.94027
Xia, Yu; Xu, Zhiqiang
2021
Aliasing error of the $$\exp(\beta\sqrt{1-z^2})$$ kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
Barnett, Alex H.
2021
Finding duality for Riesz bases of exponentials on multi-tiles. Zbl 1464.42024
Frederick, Christina; Okoudjou, Kasso A.
2021
Tempered fractional Brownian motion: wavelet estimation, modeling and testing. Zbl 1461.62152
Boniece, B. Cooper; Didier, Gustavo; Sabzikar, Farzad
2021
$$\ell^1$$-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian
2021
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. Zbl 07364447
Brugiapaglia, Simone; Dirksen, Sjoerd; Jung, Hans Christian; Rauhut, Holger
2021
Low-rank matrix recovery via regularized nuclear norm minimization. Zbl 07364556
Wang, Wendong; Zhang, Feng; Wang, Jianjun
2021
Data-driven spectral analysis of the Koopman operator. Zbl 1436.37093
Korda, Milan; Putinar, Mihai; Mezić, Igor
2020
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
2020
Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces. Zbl 1436.62146
Lin, Junhong; Rudi, Alessandro; Rosasco, Lorenzo; Cevher, Volkan
2020
Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization. Zbl 07140142
Iwen, Mark A.; Preskitt, Brian; Saab, Rayan; Viswanathan, Aditya
2020
Phase retrieval of real-valued signals in a shift-invariant space. Zbl 1436.94017
Chen, Yang; Cheng, Cheng; Sun, Qiyu; Wang, Haichao
2020
Learning with correntropy-induced losses for regression with mixture of symmetric stable noise. Zbl 1436.62308
Feng, Yunlong; Ying, Yiming
2020
Asymptotic normality for wavelet deconvolution density estimators. Zbl 1440.42176
Liu, Youming; Zeng, Xiaochen
2020
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation. Zbl 1450.42020
Li, Lin; Cai, Haiyan; Jiang, Qingtang
2020
Balancing principle in supervised learning for a general regularization scheme. Zbl 07140131
Lu, Shuai; Mathé, Peter; Pereverzev, Sergei V.
2020
Super-resolution by means of Beurling minimal extrapolation. Zbl 1439.43004
Benedetto, John J.; Li, Weilin
2020
Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2020
Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere. Zbl 1462.60064
Le Gia, Quoc Thong; Sloan, Ian H.; Womersley, Robert S.; Wang, Yu Guang
2020
Learning under $$(1 + \epsilon)$$-moment conditions. Zbl 1442.62150
Feng, Yunlong; Wu, Qiang
2020
Interpolating splines on graphs for data science applications. Zbl 1442.41001
Ward, John Paul; Narcowich, Francis J.; Ward, Joseph D.
2020
Tight framelets and fast framelet filter bank transforms on manifolds. Zbl 1447.42033
Wang, Yu Guang; Zhuang, Xiaosheng
2020
On dissipative nonlinear evolutional pseudo-differential equations. Zbl 1447.35405
Chen, Mingjuan; Wang, Baoxiang; Wang, Shuxia; Wong, M. W.
2020
Large data and zero noise limits of graph-based semi-supervised learning algorithms. Zbl 1442.62768
Dunlop, Matthew M.; Slepčev, Dejan; Stuart, Andrew M.; Thorpe, Matthew
2020
On the stable sampling rate for binary measurements and wavelet reconstruction. Zbl 1454.94032
Hansen, A. C.; Thesing, L.
2020
Convergence of online mirror descent. Zbl 07140139
Lei, Yunwen; Zhou, Ding-Xuan
2020
Modulation spaces with scaling symmetry. Zbl 1440.42101
2020
Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions. Zbl 1437.42052
Diao, Chenzhe; Han, Bin
2020
Multi-view kernel consensus for data analysis. Zbl 1434.68537
Salhov, Moshe; Lindenbaum, Ofir; Aizenbud, Yariv; Silberschatz, Avi; Shkolnisky, Yoel; Averbuch, Amir
2020
Koopman spectra in reproducing kernel Hilbert spaces. Zbl 1446.37072
Das, Suddhasattwa; Giannakis, Dimitrios
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Intertwining wavelets or multiresolution analysis on graphs through random forests. Zbl 1454.94022
Avena, Luca; Castell, Fabienne; Gaudillière, Alexandre; Mélot, Clothilde
2020
On signal reconstruction from FROG measurements. Zbl 1454.94023
Bendory, Tamir; Edidin, Dan; Eldar, Yonina C.
2020
Gaussian and sparse processes are limits of generalized Poisson processes. Zbl 1431.60037
Fageot, Julien; Uhlmann, Virginie; Unser, Michael
2020
How to get high resolution results from sparse and coarsely sampled data. Zbl 1442.94020
Cuyt, Annie; Lee, Wen-shin
2020
Tiling functions and Gabor orthonormal basis. Zbl 1440.42141
Agora, Elona; Antezana, Jorge; Kolountzakis, Mihail N.
2020
The shape of data and probability measures. Zbl 1464.62321
Díaz Martínez, Diego H.; Mémoli, Facundo; Mio, Washington
2020
Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198
Banisch, Ralf; Trstanova, Zofia; Bittracher, Andreas; Klus, Stefan; Koltai, Péter
2020
On the convergence of cardinal splines. Zbl 1457.41003
2020
Adaptive multi-penalty regularization based on a generalized Lasso path. Zbl 1434.68408
Grasmair, Markus; Klock, Timo; Naumova, Valeriya
2020
Complex best $$r$$-term approximations almost always exist in finite dimensions. Zbl 07193975
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng
2020
Holographic sensing. Zbl 1437.62698
Bruckstein, A. M.; Ezerman, M. F.; Fahreza, A. A.; Ling, S.
2020
Fixed-point proximity algorithm for minimal norm interpolation. Zbl 1440.15015
Li, Zheng; Micchelli, Charles A.; Xu, Yuesheng
2020
Preserving injectivity under subgaussian mappings and its application to compressed sensing. Zbl 1448.94053
Casazza, Peter G.; Chen, Xuemei; Lynch, Richard G.
2020
Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin
2020
Analysis of edge and corner points using parabolic dictionaries. Zbl 1439.42046
Grohs, Philipp; Kereta, Željko
2020
Investigations on the approximability and computability of the Hilbert transform with applications. Zbl 1452.44005
Boche, Holger; Pohl, Volker
2020
Uniform recovery from subgaussian multi-sensor measurements. Zbl 1454.94024
2020
Approximate support recovery of atomic line spectral estimation: a tale of resolution and precision. Zbl 1436.62081
Li, Qiuwei; Tang, Gongguo
2020
An edge driven wavelet frame model for image restoration. Zbl 1454.94013
Choi, Jae Kyu; Dong, Bin; Zhang, Xiaoqun
2020
Perspectives on CUR decompositions. Zbl 1432.15014
Hamm, Keaton; Huang, Longxiu
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A fast simple algorithm for computing the potential of charges on a line. Zbl 1446.31009
Gimbutas, Zydrunas; Marshall, Nicholas F.; Rokhlin, Vladimir
2020
A classification of anisotropic Besov spaces. Zbl 1457.46045
Cheshmavar, Jahangir; Führ, Hartmut
2020
The noise-sensitivity phase transition in spectral group synchronization over compact groups. Zbl 07242756
2020
Data-driven spectral decomposition and forecasting of ergodic dynamical systems. Zbl 1420.37113
Giannakis, Dimitrios
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Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators. Zbl 1428.42039
Cleanthous, Galatia; Georgiadis, Athanasios G.; Nielsen, Morten
2019
Rapid, robust, and reliable blind deconvolution via nonconvex optimization. Zbl 1422.94013
Li, Xiaodong; Ling, Shuyang; Strohmer, Thomas; Wei, Ke
2019
Generalized phase retrieval: measurement number, matrix recovery and beyond. Zbl 1423.42059
Wang, Yang; Xu, Zhiqiang
2019
Compressed sensing with structured sparsity and structured acquisition. Zbl 1454.94010
Boyer, Claire; Bigot, Jérémie; Weiss, Pierre
2019
Fast and provable algorithms for spectrally sparse signal reconstruction via low-rank Hankel matrix completion. Zbl 1442.94017
Cai, Jian-Feng; Wang, Tianming; Wei, Ke
2019
Spatially distributed sampling and reconstruction. Zbl 1435.94164
Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu
2019
Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series. Zbl 07121495
Slevinsky, Richard Mikaël
2019
Optimal RIP bounds for sparse signals recovery via $$\ell_p$$ minimization. Zbl 1422.94018
Zhang, Rui; Li, Song
2019
Compressed sensing with local structure: uniform recovery guarantees for the sparsity in levels class. Zbl 1415.94162
2019
Frame properties of systems arising via iterated actions of operators. Zbl 1428.42056
Christensen, Ole; Hasannasab, Marzieh
2019
Vandermonde matrices with nodes in the unit disk and the large sieve. Zbl 1420.15005
Aubel, Céline; Bölcskei, Helmut
2019
Constructing spatial discretizations for sparse multivariate trigonometric polynomials that allow for a fast discrete Fourier transform. Zbl 1423.60012
Kämmerer, Lutz
2019
Toward the classification of biangular harmonic frames. Zbl 1431.42053
Casazza, Peter G.; Farzannia, Amineh; Haas, John I.; Tran, Tin T.
2019
The fast Slepian transform. Zbl 1416.65573
Karnik, Santhosh; Zhu, Zhihui; Wakin, Michael B.; Romberg, Justin; Davenport, Mark A.
2019
Shift-invariant and sampling spaces associated with the special affine Fourier transform. Zbl 1409.94841
Bhandari, Ayush; Zayed, Ahmed I.
2019
The spectrogram expansion of Wigner functions. Zbl 1417.81019
Keller, Johannes
2019
An enhancement algorithm for cyclic adaptive Fourier decomposition. Zbl 1426.41012
Qian, Tao; Wang, Jianzhong; Mai, Weixiong
2019
Polyphase equiangular tight frames and abelian generalized quadrangles. Zbl 1423.42053
Fickus, Matthew; Jasper, John; Mixon, Dustin G.; Peterson, Jesse D.; Watson, Cody E.
2019
The Radon transform intertwines wavelets and shearlets. Zbl 1440.42167
Bartolucci, Francesca; De Mari, Filippo; De Vito, Ernesto; Odone, Francesca
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Sharp sufficient conditions for stable recovery of block sparse signals by block orthogonal matching pursuit. Zbl 1422.94017
Wen, Jinming; Zhou, Zhengchun; Liu, Zilong; Lai, Ming-Jun; Tang, Xiaohu
2019
Quantized compressed sensing for random circulant matrices. Zbl 1422.94011
Feng, Joe-Mei; Krahmer, Felix; Saab, Rayan
2019
Fixed-point algorithms for frequency estimation and structured low rank approximation. Zbl 06967580
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Distributed learning with multi-penalty regularization. Zbl 1431.68107
Guo, Zheng-Chu; Lin, Shao-Bo; Shi, Lei
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Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. Zbl 1423.46046
Wang, Rui; Xu, Yuesheng
2019
Computing reconstructions from nonuniform Fourier samples: universality of stability barriers and stable sampling rates. Zbl 1459.42003
Adcock, Ben; Gataric, Milana; Romero, José Luis
2019
Diffusion nets. Zbl 1430.68278
Mishne, Gal; Shaham, Uri; Cloninger, Alexander; Cohen, Israel
2019
Deformed Laplacians and spectral ranking in directed networks. Zbl 1433.05191
Fanuel, M.; Suykens, J. A. K.
2019
Regularity of anisotropic refinable functions. Zbl 07121502
2019
Probing the geometry of data with diffusion Fréchet functions. Zbl 1441.62042
Díaz Martínez, Diego H.; Lee, Christine H.; Kim, Peter T.; Mio, Washington
2019
Schatten properties, nuclearity and minimality of phase shift invariant spaces. Zbl 06967584
Toft, Joachim
2019
Extension principles for affine dual frames in reducing subspaces. Zbl 1405.42056
Li, Yun-Zhang; Zhang, Jian-Ping
2019
Tight wavelet frame sets in finite vector spaces. Zbl 1407.42033
Iosevich, Alex; Lai, Chun-Kit; Mayeli, Azita
2019
On the diffusion geometry of graph Laplacians and applications. Zbl 1412.35353
Cheng, Xiuyuan; Rachh, Manas; Steinerberger, Stefan
2019
The unitary extension principle on locally compact abelian groups. Zbl 1440.42149
Christensen, Ole; Goh, Say Song
2019
Analysis of time-frequency scattering transforms. Zbl 1419.42025
Czaja, Wojciech; Li, Weilin
2019
Probabilistic tight frames and representation of positive operator-valued measures. Zbl 1416.42038
Maslouhi, M.; Loukili, S.
2019
Sampling and approximation of bandlimited volumetric data. Zbl 1419.42022
Katz, Rami; Shkolnisky, Yoel
2019
On the solution of elliptic partial differential equations on regions with corners. II: Detailed analysis. Zbl 1410.35027
Serkh, Kirill
2019
Bendlets: a second-order shearlet transform with bent elements. Zbl 1415.42027
Lessig, Christian; Petersen, Philipp; Schäfer, Martin
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#### Cited by 8,122 Authors

 58 Shen, Zuowei 55 Christensen, Ole 52 Sun, Wenchang 49 Han, Deguang 48 Chui, Charles Kam-tai 48 Han, Bin 47 Li, Song 45 Kutyniok, Gitta 45 Li, Yunzhang 43 Casazza, Peter George 43 Gröchenig, Karlheinz 43 Sun, Qiyu 43 Zhou, Dingxuan 38 Mhaskar, Hrushikesh N. 37 Jiang, Qingtang 36 Amat, Sergio P. 35 Jørgensen, Palle E. T. 35 Xu, Yuesheng 34 Rauhut, Holger 33 Chesneau, Christophe 32 Dahlke, Stephan 32 Plonka, Gerlind 31 Kim, Hong Oh 31 Mixon, Dustin G. 30 Averbuch, Amir Z. 30 Beylkin, Gregory 30 Chen, Dirong 30 Labate, Demetrio 30 Liandrat, Jacques 29 Steidl, Gabriele 28 Yang, Shouzhi 27 Grohs, Philipp 27 Kim, Rae Young 27 Nielsen, Morten 26 Bownik, Marcin 26 Fickus, Matthew C. 26 García, Antonio G. 26 Potts, Daniel 25 Gelb, Anne 25 Shah, Firdous Ahmad 25 Ying, Lexing 24 Adcock, Ben 24 Arefijamaal, Ali Akbar 24 Charina, Maria 24 Coifman, Ronald Raphaël 24 Gabardo, Jean-Pierre 24 Skopina, Maria A. 23 Bodmann, Bernhard G. 23 Cordero, Elena 23 Goh, Say Song 23 Krahmer, Felix 23 Nicola, Fabio 22 Aldroubi, Akram 22 Cai, Jian-Feng 22 Dutkay, Dorin Ervin 22 Feichtinger, Hans Georg 22 Greengard, Leslie F. 22 Huang, Ting-Zhu 22 Karoui, Abderrazek 22 Khrennikov, Andreĭ Yur’evich 21 Balazs, Peter 21 Candès, Emmanuel J. 21 Dahmen, Wolfgang A. 21 Ehler, Martin 21 Lim, Jae Kun 21 Pfander, Götz E. 21 Powell, Alexander M. 21 Rahimi, Asghar 21 Zhuang, Xiaosheng 20 Benedetto, John J. 20 Daubechies, Ingrid Chantal 20 Kevrekidis, Ioannis George 20 Shen, Lixin 20 Trillo, Juan Carlos 20 Wu, Hau-Tieng 19 De Vito, Ernesto 19 Fadili, Jalal M. 19 Fornasier, Massimo 19 Huang, Yongdong 19 Ji, Hui 19 Rokhlin, Vladimir 19 Singer, Amit 19 Xian, Jun 19 Zhou, Xingwei 18 Conti, Costanza 18 Guo, Kanghui 18 Jiang, Shidong 18 Liu, Youming 18 Romero, José Luis 18 Stöckler, Joachim 18 Sun, Hongwei 18 Toft, Joachim 18 Yang, Haizhao 17 Cabrelli, Carlos A. 17 Krishtal, Ilya Arkadievich 17 Lai, Chun-Kit 17 Massey, Pedro G. 17 Molter, Ursula Maria 17 Pérez-Villalón, Gerardo 17 Shi, Xianliang ...and 8,022 more Authors
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#### Cited in 640 Journals

 850 Applied and Computational Harmonic Analysis 318 The Journal of Fourier Analysis and Applications 257 International Journal of Wavelets, Multiresolution and Information Processing 205 Journal of Computational Physics 199 Journal of Mathematical Analysis and Applications 193 Advances in Computational Mathematics 174 Journal of Computational and Applied Mathematics 150 Journal of Approximation Theory 122 Linear Algebra and its Applications 116 Applied Mathematics and Computation 98 Journal of Functional Analysis 98 SIAM Journal on Imaging Sciences 92 Journal of Scientific Computing 85 Mathematics of Computation 83 The Annals of Statistics 81 SIAM Journal on Scientific Computing 77 Journal of Mathematical Imaging and Vision 71 Analysis and Applications (Singapore) 69 Constructive Approximation 68 Numerical Functional Analysis and Optimization 67 Inverse Problems 66 Proceedings of the American Mathematical Society 65 Mathematical Problems in Engineering 54 Foundations of Computational Mathematics 52 Acta Mathematica Sinica. English Series 52 Science China. Mathematics 51 Acta Applicandae Mathematicae 48 Transactions of the American Mathematical Society 48 Applied Numerical Mathematics 48 Numerical Algorithms 47 Results in Mathematics 45 Computers & Mathematics with Applications 45 Electronic Journal of Statistics 41 The Journal of Geometric Analysis 41 Abstract and Applied Analysis 40 Applicable Analysis 40 Numerische Mathematik 40 Engineering Analysis with Boundary Elements 38 Inverse Problems and Imaging 37 Circuits, Systems, and Signal Processing 37 Neural Computation 37 Complex Analysis and Operator Theory 36 Computer Aided Geometric Design 36 Journal of Complexity 36 Journal of Pseudo-Differential Operators and Applications 34 Journal of Mathematical Physics 33 Multiscale Modeling & Simulation 31 Journal of Inequalities and Applications 31 Mediterranean Journal of Mathematics 30 Journal of Multivariate Analysis 30 Signal Processing 29 Multidimensional Systems and Signal Processing 29 Journal of Machine Learning Research (JMLR) 28 Mathematical Methods in the Applied Sciences 26 SIAM Journal on Matrix Analysis and Applications 25 Computer Methods in Applied Mechanics and Engineering 25 Monatshefte für Mathematik 25 SIAM Journal on Numerical Analysis 25 Statistics & Probability Letters 24 SIAM Journal on Optimization 23 Advances in Mathematics 23 Journal of Statistical Planning and Inference 23 Pattern Recognition 23 Applied Mathematics. Series B (English Edition) 22 BIT 21 Communications on Pure and Applied Mathematics 21 Linear and Multilinear Algebra 21 Integral Transforms and Special Functions 21 Information and Inference 20 Information Sciences 20 International Journal of Computer Mathematics 19 Chaos, Solitons and Fractals 19 SIAM Journal on Mathematical Analysis 18 Mathematische Nachrichten 18 Applied Mathematics Letters 18 Journal of Integral Equations and Applications 18 Applied Mathematical Modelling 18 Mathematical Programming. Series A. Series B 18 Computational Optimization and Applications 18 Journal of Mathematical Sciences (New York) 18 Chaos 18 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 17 Mathematics and Computers in Simulation 17 Communications in Statistics. Theory and Methods 17 GEM - International Journal on Geomathematics 17 Sahand Communications in Mathematical Analysis 16 Computational Statistics and Data Analysis 16 Bernoulli 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 EURASIP Journal on Advances in Signal Processing 16 Banach Journal of Mathematical Analysis 16 Journal of Function Spaces 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Nonparametric Statistics 15 SIAM/ASA Journal on Uncertainty Quantification 14 Journal of the Franklin Institute 14 Discrete & Computational Geometry 14 International Journal of Computer Vision 14 Asian-European Journal of Mathematics 13 Rocky Mountain Journal of Mathematics ...and 540 more Journals
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#### Cited in 62 Fields

 3,200 Harmonic analysis on Euclidean spaces (42-XX) 2,568 Numerical analysis (65-XX) 1,715 Information and communication theory, circuits (94-XX) 916 Statistics (62-XX) 808 Computer science (68-XX) 797 Approximations and expansions (41-XX) 740 Functional analysis (46-XX) 633 Partial differential equations (35-XX) 474 Operations research, mathematical programming (90-XX) 452 Operator theory (47-XX) 366 Probability theory and stochastic processes (60-XX) 319 Linear and multilinear algebra; matrix theory (15-XX) 211 Abstract harmonic analysis (43-XX) 206 Biology and other natural sciences (92-XX) 188 Fluid mechanics (76-XX) 181 Calculus of variations and optimal control; optimization (49-XX) 147 Integral transforms, operational calculus (44-XX) 146 Combinatorics (05-XX) 137 Special functions (33-XX) 132 Functions of a complex variable (30-XX) 130 Measure and integration (28-XX) 130 Integral equations (45-XX) 120 Dynamical systems and ergodic theory (37-XX) 118 Real functions (26-XX) 116 Quantum theory (81-XX) 105 Number theory (11-XX) 104 Global analysis, analysis on manifolds (58-XX) 98 Mechanics of deformable solids (74-XX) 97 Optics, electromagnetic theory (78-XX) 97 Systems theory; control (93-XX) 84 Differential geometry (53-XX) 83 Ordinary differential equations (34-XX) 78 Topological groups, Lie groups (22-XX) 66 Geophysics (86-XX) 62 Convex and discrete geometry (52-XX) 60 Statistical mechanics, structure of matter (82-XX) 55 Potential theory (31-XX) 46 Group theory and generalizations (20-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Difference and functional equations (39-XX) 28 Algebraic geometry (14-XX) 23 Several complex variables and analytic spaces (32-XX) 20 Geometry (51-XX) 20 Mechanics of particles and systems (70-XX) 19 General topology (54-XX) 18 Manifolds and cell complexes (57-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 Astronomy and astrophysics (85-XX) 15 Sequences, series, summability (40-XX) 14 General and overarching topics; collections (00-XX) 12 Commutative algebra (13-XX) 9 Field theory and polynomials (12-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Algebraic topology (55-XX) 8 Relativity and gravitational theory (83-XX) 7 Mathematics education (97-XX) 5 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX)