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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: 1,391 Publications (since 1993)
References Indexed: 1,249 Publications with 38,242 References.
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...and 65 more Volumes
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Authors

34 Chui, Charles Kam-tai
25 Coifman, Ronald Raphaël
24 Han, Bin
22 Shen, Zuowei
20 Beylkin, Gregory
19 Averbuch, Amir Z.
18 Wang, Yang
16 Rokhlin, Vladimir
14 Kutyniok, Gitta
14 Mhaskar, Hrushikesh N.
14 Shen, Lixin
14 Zhou, Dingxuan
13 Christensen, Ole
13 Goh, Say Song
13 Jiang, Qingtang
13 Sun, Qiyu
12 Aldroubi, Akram
12 Fickus, Matthew C.
11 Labate, Demetrio
11 Monzón, Lucas
11 Wu, Hau-Tieng
10 Cai, Jian-Feng
10 Daubechies, Ingrid Chantal
10 Gribonval, Rémi
10 Unser, Michael A.
10 Zhuang, Xiaosheng
9 Casazza, Peter George
9 Dong, Bin
9 Donoho, David Leigh
9 Han, Deguang
9 Kim, Hong Oh
9 Li, Song
9 Mixon, Dustin G.
9 Shkolnisky, Yoel
9 Vandergheynst, Pierre
8 Baraniuk, Richard G.
8 Bremer, James C.
8 Cohen, Albert
8 Dyn, Nira
8 Gröchenig, Karlheinz
8 Grohs, Philipp
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 Candès, Emmanuel J.
7 Cloninger, Alexander
7 Eldar, Yonina Chana
7 Führ, Hartmut
7 Jia, Rong-Qing
7 Kim, Rae Young
7 Saito, Naoki
7 Singer, Amit
7 Stöckler, Joachim
7 Tanner, Jared W.
7 Xu, Zhiqiang
7 Zhou, Xingwei
6 Antoine, Jean-Pierre
6 Bodmann, Bernhard G.
6 Bownik, Marcin
6 Cabrelli, Carlos A.
6 Cordero, Elena
6 De Vito, Ernesto
6 Elad, Michael
6 Goodman, Timothy N. T.
6 Guo, Kanghui
6 He, Wenjie
6 Jaffard, Stéphane
6 Li, Shidong
6 Mallat, Stephane Georges
6 Plonka, Gerlind
6 Saab, Rayan
6 Salhov, Moshe
6 Strohmer, Thomas
6 Tygert, Mark
6 Wang, Jianzhong
6 Wilson, Edward N.
6 Yang, Haizhao
5 Benedetto, John Joseph
5 Calderbank, Arthur Robert
5 Chan, Raymond Hon-Fu
5 Charina, Maria
5 Chen, Dirong
5 Davenport, Mark A.
5 Edidin, Dan
5 Foucart, Simon
5 Giryes, Raja
5 Hansen, Anders C.
5 Hernandez, Eugenio
5 Lim, Jae Kun
5 Lin, Junhong
5 Lu, Jian
...and 1,595 more Authors
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Fields

755 Harmonic analysis on Euclidean spaces (42-XX)
487 Information and communication theory, circuits (94-XX)
397 Numerical analysis (65-XX)
174 Computer science (68-XX)
135 Approximations and expansions (41-XX)
128 Statistics (62-XX)
87 Functional analysis (46-XX)
78 Probability theory and stochastic processes (60-XX)
68 Operations research, mathematical programming (90-XX)
64 Partial differential equations (35-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
49 Operator theory (47-XX)
38 Combinatorics (05-XX)
35 Abstract harmonic analysis (43-XX)
34 Biology and other natural sciences (92-XX)
30 Special functions (33-XX)
27 Integral transforms, operational calculus (44-XX)
23 Systems theory; control (93-XX)
20 Quantum theory (81-XX)
17 Functions of a complex variable (30-XX)
15 Measure and integration (28-XX)
15 Integral equations (45-XX)
14 Real functions (26-XX)
14 Potential theory (31-XX)
14 Ordinary differential equations (34-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Topological groups, Lie groups (22-XX)
10 Optics, electromagnetic theory (78-XX)
9 Geophysics (86-XX)
8 Group theory and generalizations (20-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Differential geometry (53-XX)
7 Number theory (11-XX)
6 Convex and discrete geometry (52-XX)
6 Fluid mechanics (76-XX)
5 Difference and functional equations (39-XX)
4 General and overarching topics; collections (00-XX)
4 Astronomy and astrophysics (85-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Manifolds and cell complexes (57-XX)
2 Algebraic geometry (14-XX)
2 Sequences, series, summability (40-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Several complex variables and analytic spaces (32-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,177 Publications have been cited 17,839 times in 8,982 Documents Cited by Year
Diffusion maps. Zbl 1095.68094
Coifman, Ronald R.; Lafon, Stéphane
343
2006
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
313
2003
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
291
1993
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
253
2009
Iterative hard thresholding for compressed sensing. Zbl 1174.94008
Blumensath, Thomas; Davies, Mike E.
213
2009
Grassmannian frames with applications to coding and communication. Zbl 1028.42020
Strohmer, Thomas; Heath, Robert W. jun.
207
2003
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
171
2006
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
170
1996
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
155
2009
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
151
1995
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
148
2008
The theory of multiresolution analysis frames and applications to filter banks. Zbl 0915.42029
Benedetto, John J.; Li, Shidong
148
1998
Quantized frame expansions with erasures. Zbl 0992.94009
Goyal, Vivek K.; Kovačević, Jelena; Kelner, Jonathan A.
132
2001
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
129
2002
On dual wavelet tight frames. Zbl 0880.42017
Han, Bin
116
1997
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
113
1993
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
111
2008
Diffusion wavelets. Zbl 1095.94007
Coifman, Ronald R.; Maggioni, Mauro
104
2006
Compressed sensing with coherent and redundant dictionaries. Zbl 1215.94026
Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna; Randall, Paige
103
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.
94
2005
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
93
1999
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
92
2000
Frames for operators. Zbl 1230.42038
Găvruţa, Laura
91
2012
From graph to manifold Laplacian: the convergence rate. Zbl 1095.68102
Singer, A.
91
2006
On approximation of functions by exponential sums. Zbl 1075.65022
Beylkin, Gregory; Monzón, Lucas
90
2005
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
86
2005
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
83
2008
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
83
2007
Saving phase: injectivity and stability for phase retrieval. Zbl 1305.90330
Bandeira, Afonso S.; Cahill, Jameson; Mixon, Dustin G.; Nelson, Aaron A.
83
2014
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
81
1999
Incompleteness of sparse coherent states. Zbl 0855.42024
Ramanathan, Jayakumar; Steger, Tim
77
1995
Detection of edges in spectral data. Zbl 0952.42001
Gelb, Anne; Tadmor, Eitan
76
1999
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.; Kevrekidis, Ioannis G.
76
2006
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
75
2011
On the fast Fourier transform of functions with singularities. Zbl 0838.65142
Beylkin, G.
74
1995
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
74
2004
On the stability of frames and Riesz bases. Zbl 0829.46006
Favier, S. J.; Zalik, R. A.
73
1995
Wavelets on graphs via spectral graph theory. Zbl 1213.42091
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi
73
2011
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
72
2009
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
72
2005
Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
Singer, A.
71
2011
Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
Easley, Glenn; Labate, Demetrio; Lim, Wang-Q
70
2008
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
69
1996
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
67
2013
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
66
2004
Approximation by exponential sums revisited. Zbl 1189.65035
Beylkin, Gregory; Monzón, Lucas
65
2010
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
Abreu, Luís Daniel
64
2010
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
64
1999
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
63
1993
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
60
2011
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
60
2007
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
Aldroubi, Akram
60
2002
Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
Kingsbury, Nick
58
2001
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
58
2003
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
57
1996
The cosparse analysis model and algorithms. Zbl 1261.94018
Nam, S.; Davies, M. E.; Elad, M.; Gribonval, R.
56
2013
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
56
2005
An algebraic characterization of injectivity in phase retrieval. Zbl 1354.42003
Conca, Aldo; Edidin, Dan; Hering, Milena; Vinzant, Cynthia
55
2015
Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059
Trimèche, K.
55
1997
A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\). Zbl 0961.42018
Bownik, Marcin
55
2000
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.
54
2004
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
52
2000
Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
Han, Bin
52
2012
Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward
52
2006
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
Han, Bin
51
2010
Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
51
2011
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
51
1994
Harmonic analysis of neural networks. Zbl 0931.68104
Candès, Emmanuel J.
50
1999
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
49
2014
Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). Zbl 1040.42025
Galperin, Yevgeniy V.; Samarah, Salti
49
2004
A wavelet collocation method for the numerical solution of partial differential equations. Zbl 0853.65122
Bertoluzza, S.; Naldi, G.
47
1996
Analysis of multiwindow Gabor-type schemes by frame methods. Zbl 0885.42024
Zibulski, Meir; Zeevi, Yehoshua Y.
47
1997
Wavelet bi-frames with few generators from multivariate refinable functions. Zbl 1221.42062
Ehler, Martin; Han, Bin
46
2008
Random sampling of sparse trigonometric polynomials. Zbl 1123.94004
Rauhut, Holger
46
2007
Explicit construction of framelets. Zbl 0984.42022
Petukhov, Alexander
46
2001
Interpolation via weighted \(\ell_{1}\) minimization. Zbl 1333.41003
Rauhut, Holger; Ward, Rachel
46
2016
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
Bodmann, Bernhard G.
45
2007
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
45
2008
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
45
2001
Convergence of vector subdivision schemes in Sobolev spaces. Zbl 1006.65153
Chen, Di-Rong; Jia, Rong-Qing; Riemenschneider, S. D.
45
2002
Dynamical sampling. Zbl 1412.94140
Aldroubi, A.; Cabrelli, C.; Molter, U.; Tang, S.
45
2017
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
Coifman, Ronald R.; Lafon, Stéphane
45
2006
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
44
2013
Orthonormal bases of regular wavelets in spaces of homogeneous type. Zbl 1261.42057
Auscher, Pascal; Hytönen, Tuomas
44
2013
Nonstationary wavelets on the \(m\)-sphere for scattered data. Zbl 0858.42025
Narcowich, Francis J.; Ward, Joseph D.
44
1996
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
Sun, Hongwei; Wu, Qiang
43
2011
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi
43
2015
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
42
2006
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
42
2012
Combined spherical harmonic and wavelet expansion – a future concept in earth’s gravitational determination. Zbl 0865.42029
Freeden, W.; Windheuser, U.
42
1997
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
42
1999
Variable bandwidth diffusion kernels. Zbl 1343.94020
Berry, Tyrus; Harlim, John
42
2016
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
41
2009
Smooth wavelet tight frames with zero moments. Zbl 0972.42025
Selesnick, Ivan W.
40
2001
New bounds on the restricted isometry constant \(\delta _{2k}\). Zbl 1231.94027
Mo, Qun; Li, Song
40
2011
Phase retrieval: stability and recovery guarantees. Zbl 06298184
Eldar, Yonina C.; Mendelson, Shahar
40
2014
Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations. Zbl 1184.46066
Khrennikov, A. Yu.; Shelkovich, V. M.
40
2010
Stereographic wavelet frames on the sphere. Zbl 1082.42026
Bogdanova, I.; Vandergheynst, P.; Antoine, J.-P.; Jacques, L.; Morvidone, M.
40
2005
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
40
2005
Constructing tight fusion frames. Zbl 1221.42052
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
39
2011
Stable recovery of entangled weights: towards robust identification of deep neural networks from minimal samples. Zbl 07628776
Fiedler, Christian; Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael
1
2023
Injectivity of Gabor phase retrieval from lattice measurements. Zbl 07628777
Grohs, Philipp; Liehr, Lukas
1
2023
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond. Zbl 07639165
Chui, Charles K.
1
2023
The universal approximation theorem for complex-valued neural networks. Zbl 07661144
Voigtlaender, Felix
1
2023
High-order approximation rates for shallow neural networks with cosine and \(\mathrm{ReLU}^k\) activation functions. Zbl 1501.41006
Siegel, Jonathan W.; Xu, Jinchao
5
2022
Improved spectral convergence rates for graph Laplacians on \(\varepsilon \)-graphs and \(k\)-NN graphs. Zbl 07557811
Calder, Jeff; García Trillos, Nicolás
4
2022
Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients. Zbl 07576446
Chui, Charles K.
2
2022
Analysis and algorithms for \(\ell_p\)-based semi-supervised learning on graphs. Zbl 07557810
Flores, Mauricio; Calder, Jeff; Lerman, Gilad
2
2022
Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017
Cordero, Elena; Rodino, Luigi
2
2022
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks. Zbl 07522504
Liu, Chaoyue; Zhu, Libin; Belkin, Mikhail
2
2022
A mathematical theory of the computational resolution limit in one dimension. Zbl 1479.94037
Liu, Ping; Zhang, Hai
2
2022
Frames of translates for model sets. Zbl 1487.42075
Matusiak, Ewa
1
2022
A sufficient condition for mobile sampling in terms of surface density. Zbl 07576441
Jaye, Benjamin; Mitkovski, Mishko
1
2022
Gradient projection Newton pursuit for sparsity constrained optimization. Zbl 1501.65023
Zhou, Shenglong
1
2022
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods. Zbl 1492.94033
Ling, Shuyang
1
2022
A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy. Zbl 07557815
Yang, Hyoseon; Yoon, Jungho
1
2022
Graph signal interpolation with positive definite graph basis functions. Zbl 1493.94005
Erb, Wolfgang
1
2022
Hirschman-Widder densities. Zbl 1502.44004
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai
1
2022
Hierarchical isometry properties of hierarchical measurements. Zbl 1485.94018
Flinth, Axel; Groß, Benedikt; Roth, Ingo; Eisert, Jens; Wunder, Gerhard
1
2022
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization. Zbl 1485.94015
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1
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Convex optimization in sums of Banach spaces. Zbl 1489.46074
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1
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Continuous wavelet frames on the sphere: the group-theoretic approach revisited. Zbl 1490.42033
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1
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Spectral analysis of weighted Laplacians arising in data clustering. Zbl 07432352
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1
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An extremal problem for polynomials. Zbl 1479.42001
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1
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1
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Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\). Zbl 1460.42008
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Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications. Zbl 1477.46041
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9
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Uniqueness of STFT phase retrieval for bandlimited functions. Zbl 1460.94017
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9
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Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
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9
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High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120
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9
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Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015
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7
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Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
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6
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Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
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5
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Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. Zbl 1467.42054
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5
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Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 1473.37101
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna
4
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Almost everywhere generalized phase retrieval. Zbl 1460.42048
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4
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Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE. Zbl 1460.94018
Alberti, Giovanni S.; Santacesaria, Matteo
4
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Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences. Zbl 1472.94043
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4
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Spectrality of generalized Sierpinski-type self-affine measures. Zbl 1472.28007
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4
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On Bayesian estimation and proximity operators. Zbl 1461.62040
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3
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Hadamard equiangular tight frames. Zbl 1461.42021
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Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality. Zbl 1460.31015
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3
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The Nyquist sampling rate for spiraling curves. Zbl 1460.42049
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3
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Fractional Fourier transforms on \(L^p\) and applications. Zbl 1471.42009
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3
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Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008
Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng
3
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Maximum entropy models from phase harmonic covariances. Zbl 1467.94016
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2
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Regularization with multilevel non-stationary tight framelets for image restoration. Zbl 1467.94005
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2
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Low-rank matrix recovery via regularized nuclear norm minimization. Zbl 1469.65090
Wang, Wendong; Zhang, Feng; Wang, Jianjun
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2
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Time-frequency transforms of white noises and Gaussian analytic functions. Zbl 1460.42009
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2
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2
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Dynamical sampling for shift-preserving operators. Zbl 07328415
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2
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2
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\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
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Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling. Zbl 1472.94020
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Spectral convergence of graph Laplacian and heat kernel reconstruction in \(L^\infty\) from random samples. Zbl 1472.62178
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Functional penalised basis pursuit on spheres. Zbl 1476.49049
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1
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Rician noise removal via weighted nuclear norm penalization. Zbl 1469.65107
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Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. Zbl 1477.65197
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Fractional diffusion maps. Zbl 1469.60247
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Random sampling and reconstruction of concentrated signals in a reproducing kernel space. Zbl 1467.94013
Li, Yaxu; Sun, Qiyu; Xian, Jun
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The diffusion geometry of fibre bundles: horizontal diffusion maps. Zbl 1464.58011
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Almost everywhere injectivity conditions for the matrix recovery problem. Zbl 1460.15031
Rong, Yi; Wang, Yang; Xu, Zhiqiang
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Finding duality for Riesz bases of exponentials on multi-tiles. Zbl 1464.42024
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A simple shearlet-based 2D Radon inversion with an application to computed tomography. Zbl 1460.42054
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Multidimensional scaling of noisy high dimensional data. Zbl 1461.62235
Peterfreund, Erez; Gavish, Matan
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Multiresolution mode decomposition for adaptive time series analysis. Zbl 1462.42012
Yang, Haizhao
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Graph Fourier transform based on \(\ell_1\) norm variation minimization. Zbl 1479.94077
Yang, Lihua; Qi, Anna; Huang, Chao; Huang, Jianfeng
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Al-Jawahri, Zeineb; Nielsen, Morten
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Optimal learning with anisotropic Gaussian SVMs. Zbl 07390687
Hang, Hanyuan; Steinwart, Ingo
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A quantitative subspace Balian-Low theorem. Zbl 1473.42036
Caragea, Andrei; Lee, Dae Gwan; Philipp, Friedrich; Voigtlaender, Felix
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Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
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Data-driven spectral analysis of the Koopman operator. Zbl 1436.37093
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Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces. Zbl 1436.62146
Lin, Junhong; Rudi, Alessandro; Rosasco, Lorenzo; Cevher, Volkan
12
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Phase retrieval of real-valued signals in a shift-invariant space. Zbl 1436.94017
Chen, Yang; Cheng, Cheng; Sun, Qiyu; Wang, Haichao
11
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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
10
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Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization. Zbl 07140142
Iwen, Mark A.; Preskitt, Brian; Saab, Rayan; Viswanathan, Aditya
9
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Learning with correntropy-induced losses for regression with mixture of symmetric stable noise. Zbl 1436.62308
Feng, Yunlong; Ying, Yiming
9
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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
9
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Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
8
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Learning under \((1 + \epsilon)\)-moment conditions. Zbl 1442.62150
Feng, Yunlong; Wu, Qiang
8
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Balancing principle in supervised learning for a general regularization scheme. Zbl 07140131
Lu, Shuai; Mathé, Peter; Pereverzev, Sergei V.
7
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Asymptotic normality for wavelet deconvolution density estimators. Zbl 1440.42176
Liu, Youming; Zeng, Xiaochen
7
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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
7
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A classification of anisotropic Besov spaces. Zbl 1457.46045
Cheshmavar, Jahangir; Führ, Hartmut
6
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Interpolating splines on graphs for data science applications. Zbl 1442.41001
Ward, John Paul; Narcowich, Francis J.; Ward, Joseph D.
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On the stable sampling rate for binary measurements and wavelet reconstruction. Zbl 1454.94032
Hansen, A. C.; Thesing, L.
6
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Super-resolution by means of Beurling minimal extrapolation. Zbl 1439.43004
Benedetto, John J.; Li, Weilin
5
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Phaseless reconstruction from space-time samples. Zbl 07140141
Aldroubi, Akram; Krishtal, I.; Tang, S.
5
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Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation. Zbl 1450.42020
Li, Lin; Cai, Haiyan; Jiang, Qingtang
5
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Complex best \(r\)-term approximations almost always exist in finite dimensions. Zbl 1483.41010
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng
5
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How to get high resolution results from sparse and coarsely sampled data. Zbl 1442.94020
Cuyt, Annie; Lee, Wen-shin
5
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Perspectives on CUR decompositions. Zbl 1432.15014
Hamm, Keaton; Huang, Longxiu
5
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Tight framelets and fast framelet filter bank transforms on manifolds. Zbl 1447.42033
Wang, Yu Guang; Zhuang, Xiaosheng
4
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On dissipative nonlinear evolutional pseudo-differential equations. Zbl 1447.35405
Chen, Mingjuan; Wang, Baoxiang; Wang, Shuxia; Wong, M. W.
4
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Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions. Zbl 1437.42052
Diao, Chenzhe; Han, Bin
4
2020
Koopman spectra in reproducing kernel Hilbert spaces. Zbl 1446.37072
Das, Suddhasattwa; Giannakis, Dimitrios
4
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On signal reconstruction from FROG measurements. Zbl 1454.94023
Bendory, Tamir; Edidin, Dan; Eldar, Yonina C.
4
2020
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Cited by 9,542 Authors

61 Shen, Zuowei
59 Christensen, Ole
55 Sun, Wenchang
54 Chui, Charles Kam-tai
52 Kutyniok, Gitta
51 Li, Yunzhang
50 Han, Deguang
49 Li, Song
49 Sun, Qiyu
48 Han, Bin
47 Casazza, Peter George
47 Zhou, Dingxuan
45 Gröchenig, Karlheinz
40 Amat, Sergio P.
40 Mhaskar, Hrushikesh N.
39 Mixon, Dustin G.
39 Xu, Yuesheng
38 Jiang, Qingtang
38 Jørgensen, Palle E. T.
38 Plonka, Gerlind
36 Rauhut, Holger
35 Steidl, Gabriele
35 Wang, Yang
34 Chesneau, Christophe
33 Dahlke, Stephan
33 Grohs, Philipp
32 Averbuch, Amir Z.
32 Kim, Hong Oh
31 Beylkin, Gregory
31 Chen, Dirong
31 Liandrat, Jacques
31 Shah, Firdous Ahmad
30 Cordero, Elena
30 Labate, Demetrio
30 Potts, Daniel
29 García, Antonio G.
29 Krahmer, Felix
29 Wu, Hau-Tieng
28 Arefijamaal, Ali Akbar
28 Bownik, Marcin
28 Fickus, Matthew C.
28 Kim, Rae Young
28 Nielsen, Morten
28 Yang, Shouzhi
28 Ying, Lexing
27 Cai, Jian-Feng
27 Dong, Bin
27 Gelb, Anne
27 Nicola, Fabio
26 Aldroubi, Akram
26 Yang, Dachun
25 Adcock, Ben
25 Coifman, Ronald Raphaël
25 Feichtinger, Hans Georg
25 Yang, Haizhao
24 Bodmann, Bernhard G.
24 Charina, Maria
24 Fornasier, Massimo
24 Gabardo, Jean-Pierre
24 Goh, Say Song
24 Greengard, Leslie F.
24 Kevrekidis, Ioannis George
24 Powell, Alexander M.
24 Romero, José Luis
23 Daubechies, Ingrid Chantal
23 De Vito, Ernesto
23 Ehler, Martin
23 Huang, Ting-Zhu
23 Jiang, Shidong
23 Shen, Lixin
23 Toft, Joachim
23 Trillo, Juan Carlos
23 Zhuang, Xiaosheng
22 Dahmen, Wolfgang A.
22 Dutkay, Dorin Ervin
22 Huang, Yongdong
22 Jia, Rong-Qing
22 Karoui, Abderrazek
22 Khrennikov, Andreĭ Yur’evich
22 Pfander, Götz E.
21 Balazs, Peter
21 Candès, Emmanuel J.
21 Lim, Jae Kun
21 Rahimi, Asghar
21 Singer, Amit
21 Xian, Jun
20 Benedetto, John Joseph
20 Cabrelli, Carlos A.
20 Conti, Costanza
20 Führ, Hartmut
20 Ji, Hui
20 Kamyabi-Gol, Rajab Ali
20 Molter, Ursula Maria
20 Rokhlin, Vladimir
19 Cohen, Albert
19 Fadili, Jalal M.
19 Gribonval, Rémi
19 Mejjaoli, Hatem
19 Shi, Xianliang
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921 Applied and Computational Harmonic Analysis
342 The Journal of Fourier Analysis and Applications
294 International Journal of Wavelets, Multiresolution and Information Processing
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186 Journal of Computational and Applied Mathematics
159 Journal of Approximation Theory
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130 SIAM Journal on Imaging Sciences
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56 Numerical Algorithms
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54 Journal of Pseudo-Differential Operators and Applications
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48 Transactions of the American Mathematical Society
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20 Mathematics and Computers in Simulation
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20 Bernoulli
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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