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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: Journal; Indexed cover-to-cover
Documents Indexed: 1,462 Publications (since 1993)
References Indexed: 1,320 Publications with 41,096 References.
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...and 71 more Volumes
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Authors

36 Chui, Charles Kam-tai
25 Coifman, Ronald Raphaël
24 Han, Bin
22 Shen, Zuowei
20 Averbuch, Amir Z.
20 Beylkin, Gregory
19 Wang, Yang
17 Rokhlin, Vladimir
15 Shen, Lixin
14 Kutyniok, Gitta
14 Zhou, Dingxuan
13 Aldroubi, Akram
13 Christensen, Ole
13 Fickus, Matthew C.
13 Goh, Say Song
13 Jiang, Qingtang
13 Mhaskar, Hrushikesh N.
13 Sun, Qiyu
12 Wu, Hau-Tieng
11 Daubechies, Ingrid Chantal
11 Labate, Demetrio
11 Mixon, Dustin G.
11 Monzón, Lucas
11 Unser, Michael A.
10 Cai, Jian-Feng
10 Gribonval, Rémi
10 Zhuang, Xiaosheng
9 Bremer, James C.
9 Casazza, Peter George
9 Dong, Bin
9 Donoho, David Leigh
9 Führ, Hartmut
9 Han, Deguang
9 Kim, Hong Oh
9 Li, Song
9 Pfander, Götz E.
9 Shkolnisky, Yoel
9 Vandergheynst, Pierre
8 Baraniuk, Richard G.
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 Rauhut, Holger
8 Sun, Wenchang
8 Wolf, Guy
8 Xu, Yuesheng
8 Xu, Zhiqiang
7 Adcock, Ben
7 Bermanis, Amit
7 Cabrelli, Carlos A.
7 Candès, Emmanuel J.
7 Cordero, Elena
7 Eldar, Yonina Chana
7 He, Wenjie
7 Jia, Rong-Qing
7 Kim, Rae Young
7 Saab, Rayan
7 Saito, Naoki
7 Singer, Amit
7 Stöckler, Joachim
7 Tanner, Jared W.
7 Yang, Haizhao
7 Zhou, Xingwei
6 Antoine, Jean-Pierre
6 Balazs, Peter
6 Bodmann, Bernhard G.
6 Bownik, Marcin
6 Cloninger, Alexander
6 De Vito, Ernesto
6 Edidin, Dan
6 Elad, Michael
6 Goodman, Timothy N. T.
6 Guo, Kanghui
6 Iwen, Mark A.
6 Jaffard, Stéphane
6 Li, Shidong
6 Mallat, Stephane Georges
6 Plonka, Gerlind
6 Salhov, Moshe
6 Strohmer, Thomas
6 Torrésani, Bruno S.
6 Tygert, Mark
6 Wang, Jianzhong
6 Wilson, Edward N.
5 Benedetto, John Joseph
5 Berry, Tyrus
5 Calderbank, Arthur Robert
5 Chan, Raymond Hon-Fu
5 Charina, Maria
5 Chen, Dirong
5 Davenport, Mark A.
5 Feichtinger, Hans Georg
5 Foucart, Simon
5 Giryes, Raja
...and 1,689 more Authors
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Fields

779 Harmonic analysis on Euclidean spaces (42-XX)
507 Information and communication theory, circuits (94-XX)
416 Numerical analysis (65-XX)
193 Computer science (68-XX)
143 Approximations and expansions (41-XX)
141 Statistics (62-XX)
97 Functional analysis (46-XX)
83 Probability theory and stochastic processes (60-XX)
77 Operations research, mathematical programming (90-XX)
67 Partial differential equations (35-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
53 Operator theory (47-XX)
42 Combinatorics (05-XX)
37 Abstract harmonic analysis (43-XX)
36 Biology and other natural sciences (92-XX)
33 Special functions (33-XX)
31 Integral transforms, operational calculus (44-XX)
24 Systems theory; control (93-XX)
23 Quantum theory (81-XX)
18 Measure and integration (28-XX)
18 Functions of a complex variable (30-XX)
16 Real functions (26-XX)
15 Ordinary differential equations (34-XX)
15 Integral equations (45-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Potential theory (31-XX)
13 Topological groups, Lie groups (22-XX)
10 Optics, electromagnetic theory (78-XX)
9 Number theory (11-XX)
9 Differential geometry (53-XX)
9 Geophysics (86-XX)
8 Group theory and generalizations (20-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Difference and functional equations (39-XX)
6 Convex and discrete geometry (52-XX)
6 Fluid mechanics (76-XX)
5 Algebraic geometry (14-XX)
4 General and overarching topics; collections (00-XX)
4 Astronomy and astrophysics (85-XX)
3 Manifolds and cell complexes (57-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,257 Publications have been cited 19,644 times in 9,886 Documents Cited by Year
Diffusion maps. Zbl 1095.68094
Coifman, Ronald R.; Lafon, Stéphane
386
2006
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
324
2003
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
295
1993
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
272
2009
Iterative hard thresholding for compressed sensing. Zbl 1174.94008
Blumensath, Thomas; Davies, Mike E.
231
2009
Grassmannian frames with applications to coding and communication. Zbl 1028.42020
Strohmer, Thomas; Heath, Robert W. jun.
227
2003
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
192
2006
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
173
1996
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
170
2009
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
163
2008
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
158
1995
The theory of multiresolution analysis frames and applications to filter banks. Zbl 0915.42029
Benedetto, John J.; Li, Shidong
153
1998
Quantized frame expansions with erasures. Zbl 0992.94009
Goyal, Vivek K.; Kovačević, Jelena; Kelner, Jonathan A.
146
2001
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
133
2002
On dual wavelet tight frames. Zbl 0880.42017
Han, Bin
121
1997
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
117
1993
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
114
2008
Diffusion wavelets. Zbl 1095.94007
Coifman, Ronald R.; Maggioni, Mauro
112
2006
Compressed sensing with coherent and redundant dictionaries. Zbl 1215.94026
Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna; Randall, Paige
111
2011
Frames for operators. Zbl 1230.42038
Găvruţa, Laura
106
2012
From graph to manifold Laplacian: the convergence rate. Zbl 1095.68102
Singer, A.
101
2006
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
101
2005
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
98
1999
On approximation of functions by exponential sums. Zbl 1075.65022
Beylkin, Gregory; Monzón, Lucas
96
2005
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
95
2000
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
94
2005
Saving phase: injectivity and stability for phase retrieval. Zbl 1305.90330
Bandeira, Afonso S.; Cahill, Jameson; Mixon, Dustin G.; Nelson, Aaron A.
94
2014
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
94
2008
Wavelets on graphs via spectral graph theory. Zbl 1213.42091
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi
88
2011
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
86
2007
Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
Singer, A.
85
2011
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.; Kevrekidis, Ioannis G.
83
2006
Detection of edges in spectral data. Zbl 0952.42001
Gelb, Anne; Tadmor, Eitan
82
1999
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
81
2011
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
80
2009
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
80
1999
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
79
2004
Incompleteness of sparse coherent states. Zbl 0855.42024
Ramanathan, Jayakumar; Steger, Tim
77
1995
On the stability of frames and Riesz bases. Zbl 0829.46006
Favier, S. J.; Zalik, R. A.
76
1995
On the fast Fourier transform of functions with singularities. Zbl 0838.65142
Beylkin, G.
75
1995
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
74
2005
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
72
1996
Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
Easley, Glenn; Labate, Demetrio; Lim, Wang-Q
72
2008
Approximation by exponential sums revisited. Zbl 1189.65035
Beylkin, Gregory; Monzón, Lucas
71
2010
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
Abreu, Luís Daniel
68
2010
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
68
2013
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
67
2011
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
67
2004
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
67
1993
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
66
1999
Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
Kingsbury, Nick
63
2001
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
Aldroubi, Akram
63
2002
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
63
2007
An algebraic characterization of injectivity in phase retrieval. Zbl 1354.42003
Conca, Aldo; Edidin, Dan; Hering, Milena; Vinzant, Cynthia
63
2015
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
62
2003
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.
60
2004
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
59
2020
The cosparse analysis model and algorithms. Zbl 1261.94018
Nam, S.; Davies, M. E.; Elad, M.; Gribonval, R.
58
2013
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
58
2005
A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\). Zbl 0961.42018
Bownik, Marcin
57
2000
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
57
1996
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
57
2013
Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
56
2011
Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). Zbl 1040.42025
Galperin, Yevgeniy V.; Samarah, Salti
56
2004
Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059
Trimèche, K.
56
1997
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
56
1994
Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
Han, Bin
55
2012
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi
54
2015
Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward
53
2006
Provable approximation properties for deep neural networks. Zbl 1390.68553
Shaham, Uri; Cloninger, Alexander; Coifman, Ronald R.
53
2018
Dynamical sampling. Zbl 1412.94140
Aldroubi, A.; Cabrelli, C.; Molter, U.; Tang, S.
53
2017
Interpolation via weighted \(\ell_{1}\) minimization. Zbl 1333.41003
Rauhut, Holger; Ward, Rachel
52
2016
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
52
2000
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
Han, Bin
52
2010
Harmonic analysis of neural networks. Zbl 0931.68104
Candès, Emmanuel J.
52
1999
Orthonormal bases of regular wavelets in spaces of homogeneous type. Zbl 1261.42057
Auscher, Pascal; Hytönen, Tuomas
52
2013
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
52
2014
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
Coifman, Ronald R.; Lafon, Stéphane
51
2006
Explicit construction of framelets. Zbl 0984.42022
Petukhov, Alexander
48
2001
Analysis of multiwindow Gabor-type schemes by frame methods. Zbl 0885.42024
Zibulski, Meir; Zeevi, Yehoshua Y.
48
1997
A wavelet collocation method for the numerical solution of partial differential equations. Zbl 0853.65122
Bertoluzza, S.; Naldi, G.
48
1996
Variable bandwidth diffusion kernels. Zbl 1343.94020
Berry, Tyrus; Harlim, John
48
2016
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
Bodmann, Bernhard G.
48
2007
Wavelet bi-frames with few generators from multivariate refinable functions. Zbl 1221.42062
Ehler, Martin; Han, Bin
48
2008
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
47
2008
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
47
2012
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
46
2001
Nonstationary wavelets on the \(m\)-sphere for scattered data. Zbl 0858.42025
Narcowich, Francis J.; Ward, Joseph D.
46
1996
Convergence of vector subdivision schemes in Sobolev spaces. Zbl 1006.65153
Chen, Di-Rong; Jia, Rong-Qing; Riemenschneider, S. D.
46
2002
Random sampling of sparse trigonometric polynomials. Zbl 1123.94004
Rauhut, Holger
46
2007
A variational approach to the consistency of spectral clustering. Zbl 1396.49013
García Trillos, Nicolás; Slepčev, Dejan
46
2018
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
45
2005
Phase retrieval: stability and recovery guarantees. Zbl 06298184
Eldar, Yonina C.; Mendelson, Shahar
45
2014
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
Sun, Hongwei; Wu, Qiang
44
2011
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
44
2009
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
43
1999
Constructing tight fusion frames. Zbl 1221.42052
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
43
2011
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
43
2006
Invertibility of multipliers. Zbl 1246.42017
Stoeva, D. T.; Balazs, P.
43
2012
Smooth wavelet tight frames with zero moments. Zbl 0972.42025
Selesnick, Ivan W.
42
2001
Time-frequency analysis on flat tori and Gabor frames in finite dimensions. Zbl 07789660
Abreu, L. D.; Balazs, P.; Holighaus, N.; Luef, F.; Speckbacher, M.
1
2024
A sharp upper bound for sampling numbers in \(L_2\). Zbl 1527.41001
Dolbeault, Matthieu; Krieg, David; Ullrich, Mario
8
2023
Injectivity of Gabor phase retrieval from lattice measurements. Zbl 1504.94040
Grohs, Philipp; Liehr, Lukas
5
2023
Estimation under group actions: recovering orbits from invariants. Zbl 1518.94016
Bandeira, Afonso S.; Blum-Smith, Ben; Kileel, Joe; Niles-Weed, Jonathan; Perry, Amelia; Wein, Alexander S.
4
2023
Understanding neural networks with reproducing kernel Banach spaces. Zbl 1511.46015
Bartolucci, Francesca; De Vito, Ernesto; Rosasco, Lorenzo; Vigogna, Stefano
3
2023
On 2-dimensional mobile sampling. Zbl 1504.42079
Rashkovskii, Alexander; Ulanovskii, Alexander; Zlotnikov, Ilya
2
2023
Regularization of inverse problems by filtered diagonal frame decomposition. Zbl 07628774
Ebner, Andrea; Frikel, Jürgen; Lorenz, Dirk; Schwab, Johannes; Haltmeier, Markus
2
2023
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions. Zbl 1509.82098
Gao, Yuan; Liu, Jian-Guo; Wu, Nan
2
2023
Generalization bounds for sparse random feature expansions. Zbl 1505.65039
Hashemi, Abolfazl; Schaeffer, Hayden; Shi, Robert; Topcu, Ufuk; Tran, Giang; Ward, Rachel
2
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.
2
2023
Constructive subsampling of finite frames with applications in optimal function recovery. Zbl 07681446
Bartel, Felix; Schäfer, Martin; Ullrich, Tino
2
2023
Algebraic compressed sensing. Zbl 1514.94009
Breiding, Paul; Gesmundo, Fulvio; Michałek, Mateusz; Vannieuwenhoven, Nick
2
2023
\(n\)-best kernel approximation in reproducing kernel Hilbert spaces. Zbl 07740082
Qian, Tao
2
2023
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies. Zbl 1506.94011
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian
1
2023
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application. Zbl 07628775
Chen, Ziyu; Wu, Hau-Tieng
1
2023
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
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers. Zbl 1514.42037
Knutsen, Helge
1
2023
Harmonic analysis on directed graphs and applications: from Fourier analysis to wavelets. Zbl 1504.05112
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1
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The sparsity of LASSO-type minimizers. Zbl 1499.62243
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1
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1
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Papoulis’ sampling theorem: revisited. Zbl 1509.94031
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1
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Frames by orbits of two operators that commute. Zbl 1522.42060
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1
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The universal approximation theorem for complex-valued neural networks. Zbl 07661144
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1
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Computing committors in collective variables via Mahalanobis diffusion maps. Zbl 07661145
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1
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Phase function methods for second order linear ordinary differential equations with turning points. Zbl 1518.34012
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1
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Lower bounds on the low-distortion embedding dimension of submanifolds of \(\mathbb{R}^n\). Zbl 1522.46024
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1
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1
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Generalization error of random feature and kernel methods: hypercontractivity and kernel matrix concentration. Zbl 07522503
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8
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Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017
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8
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Loss landscapes and optimization in over-parameterized non-linear systems and neural networks. Zbl 07522504
Liu, Chaoyue; Zhu, Libin; Belkin, Mikhail
6
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Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods. Zbl 1492.94033
Ling, Shuyang
6
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Improved spectral convergence rates for graph Laplacians on \(\varepsilon \)-graphs and \(k\)-NN graphs. Zbl 07557811
Calder, Jeff; García Trillos, Nicolás
6
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High-order approximation rates for shallow neural networks with cosine and \(\mathrm{ReLU}^k\) activation functions. Zbl 1501.41006
Siegel, Jonathan W.; Xu, Jinchao
6
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Convex optimization in sums of Banach spaces. Zbl 1489.46074
Unser, Michael; Aziznejad, Shayan
6
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A mathematical theory of the computational resolution limit in one dimension. Zbl 1479.94037
Liu, Ping; Zhang, Hai
5
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Hirschman-Widder densities. Zbl 1502.44004
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4
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Solving phase retrieval with random initial guess is nearly as good as by spectral initialization. Zbl 1485.94015
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4
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Analysis and algorithms for \(\ell_p\)-based semi-supervised learning on graphs. Zbl 07557810
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3
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A sufficient condition for mobile sampling in terms of surface density. Zbl 07576441
Jaye, Benjamin; Mitkovski, Mishko
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Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation. Zbl 1496.65203
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Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients. Zbl 1518.42049
Chui, Charles K.
3
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Spectral analysis of weighted Laplacians arising in data clustering. Zbl 07432352
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An extremal problem for polynomials. Zbl 1479.42001
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3
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A necessary and sufficient condition for sparse vector recovery via \(\ell_1-\ell_2\) minimization. Zbl 1485.90095
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3
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A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy. Zbl 1512.41004
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2
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Twisted B-splines in the complex plane. Zbl 1484.41007
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2
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2
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Signal recovery from a few linear measurements of its high-order spectra. Zbl 1479.94057
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2
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Frames of translates for model sets. Zbl 1487.42075
Matusiak, Ewa
2
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On a regularization of unsupervised domain adaptation in RKHS. Zbl 07472536
Gizewski, Elke R.; Mayer, Lukas; Moser, Bernhard A.; Nguyen, Duc Hoan; Pereverzyev, Sergiy; Pereverzyev, Sergei V.; Shepeleva, Natalia; Zellinger, Werner
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Deep microlocal reconstruction for limited-angle tomography. Zbl 07522506
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1
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An \(\mathcal{O}(1)\) algorithm for the numerical evaluation of the Sturm-Liouville eigenvalues of the spheroidal wave functions of order zero. Zbl 1495.65124
Rehan, Rafeh; Bremer, James
1
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On the numerical evaluation of the prolate spheroidal wave functions of order zero. Zbl 1496.65034
Bremer, James
1
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Nonlinear wavelet-based estimation to spectral density for stationary non-Gaussian linear processes. Zbl 1493.62528
Li, Linyuan; Zhang, Biao
1
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Graph signal interpolation with positive definite graph basis functions. Zbl 1493.94005
Erb, Wolfgang
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A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction. Zbl 1492.94022
Li, Yan-Ran; Shen, Lixin; Zhuang, Xiaosheng
1
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Hierarchical isometry properties of hierarchical measurements. Zbl 1485.94018
Flinth, Axel; Groß, Benedikt; Roth, Ingo; Eisert, Jens; Wunder, Gerhard
1
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Gradient projection Newton pursuit for sparsity constrained optimization. Zbl 1501.65023
Zhou, Shenglong
1
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Toric symplectic geometry and full spark frames. Zbl 1496.42041
Needham, Tom; Shonkwiler, Clayton
1
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Rates of convergence of randomized Kaczmarz algorithms in Hilbert spaces. Zbl 1497.65090
Guo, Xin; Lin, Junhong; Zhou, Ding-Xuan
1
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The springback penalty for robust signal recovery. Zbl 1496.94010
An, Congpei; Wu, Hao-Ning; Yuan, Xiaoming
1
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Image restoration: structured low rank matrix framework for piecewise smooth functions and beyond. Zbl 1484.65040
Cai, Jian-Feng; Choi, Jae Kyu; Li, Jingyang; Wei, Ke
1
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A proximal algorithm with backtracked extrapolation for a class of structured fractional programming. Zbl 1480.90238
Li, Qia; Shen, Lixin; Zhang, Na; Zhou, Junpeng
1
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Continuous wavelet frames on the sphere: the group-theoretic approach revisited. Zbl 1490.42033
Dahlke, S.; De Mari, F.; De Vito, E.; Hansen, M.; Hasannasab, M.; Quellmalz, M.; Steidl, G.; Teschke, G.
1
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Sparse signal recovery from phaseless measurements via hard thresholding pursuit. Zbl 1479.94058
Cai, Jian-Feng; Li, Jingzhi; Lu, Xiliang; You, Juntao
1
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A multiscale environment for learning by diffusion. Zbl 07472531
Murphy, James M.; Polk, Sam L.
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Irregular Gabor frames of Cauchy kernels. Zbl 1490.42031
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Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\). Zbl 1460.42008
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Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
Li, Weilin; Liao, Wenjing
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Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications. Zbl 1477.46041
He, Ziyi; Wang, Fan; Yang, Dachun; Yuan, Wen
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Fractional Fourier transforms on \(L^p\) and applications. Zbl 1471.42009
Chen, Wei; Fu, Zunwei; Grafakos, Loukas; Wu, Yue
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Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 1473.37101
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Uniqueness of STFT phase retrieval for bandlimited functions. Zbl 1460.94017
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Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015
Kolomoitsev, Yu.; Skopina, M.
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High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120
Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni
10
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Spectral convergence of graph Laplacian and heat kernel reconstruction in \(L^\infty\) from random samples. Zbl 1472.62178
Dunson, David B.; Wu, Hau-Tieng; Wu, Nan
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Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
Alaifari, Rima; Grohs, Philipp
8
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Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
Barnett, Alex H.
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Spectrality of generalized Sierpinski-type self-affine measures. Zbl 1472.28007
Liu, Jing-Cheng; Zhang, Ying; Wang, Zhi-Yong; Chen, Ming-Liang
7
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Almost everywhere generalized phase retrieval. Zbl 1460.42048
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
6
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Sparse non-negative super-resolution – simplified and stabilised. Zbl 1460.94019
Eftekhari, Armin; Tanner, Jared; Thompson, Andrew; Toader, Bogdan; Tyagi, Hemant
6
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Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences. Zbl 1472.94043
Karnik, Santhosh; Romberg, Justin; Davenport, Mark A.
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The recovery of complex sparse signals from few phaseless measurements. Zbl 1460.94027
Xia, Yu; Xu, Zhiqiang
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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
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Dynamical sampling for shift-preserving operators. Zbl 07328415
Aguilera, A.; Cabrelli, C.; Carbajal, D.; Paternostro, V.
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Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. Zbl 1467.42054
Chui, Charles K.; Han, Ningning
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The Nyquist sampling rate for spiraling curves. Zbl 1460.42049
Jaming, Philippe; Negreira, Felipe; Romero, José Luis
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Random sampling and reconstruction of concentrated signals in a reproducing kernel space. Zbl 1467.94013
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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
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Gribonval, Rémi; Nikolova, Mila
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Time-frequency transforms of white noises and Gaussian analytic functions. Zbl 1460.42009
Bardenet, Rémi; Hardy, Adrien
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Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality. Zbl 1460.31015
Liu, Liguang; Xiao, Jie
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Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms. Zbl 1460.42055
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Tempered fractional Brownian motion: wavelet estimation, modeling and testing. Zbl 1461.62152
Boniece, B. Cooper; Didier, Gustavo; Sabzikar, Farzad
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Rician noise removal via weighted nuclear norm penalization. Zbl 1469.65107
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4
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Maximum entropy models from phase harmonic covariances. Zbl 1467.94016
Zhang, Sixin; Mallat, Stéphane
4
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Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling. Zbl 1472.94020
Adcock, Ben; Antun, Vegard; Hansen, Anders C.
3
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A stochastic sparse representation: \(n\)-best approximation to random signals and computation. Zbl 1471.94012
Qu, Wei; Qian, Tao; Deng, Guan-Tie
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63 Shen, Zuowei
60 Christensen, Ole
56 Chui, Charles Kam-tai
55 Sun, Wenchang
54 Kutyniok, Gitta
52 Han, Deguang
52 Li, Song
52 Zhou, Dingxuan
51 Sun, Qiyu
50 Casazza, Peter George
50 Li, Yunzhang
48 Gröchenig, Karlheinz
48 Han, Bin
46 Amat Plata, Sergio
44 Mixon, Dustin G.
42 Xu, Yuesheng
41 Jørgensen, Palle E. T.
40 Jiang, Qingtang
39 Plonka, Gerlind
38 Mhaskar, Hrushikesh N.
38 Wang, Yang
37 Steidl, Gabriele
36 Averbuch, Amir Z.
36 Grohs, Philipp
36 Yang, Dachun
35 Cordero, Elena
35 Rauhut, Holger
34 Chesneau, Christophe
34 Dahlke, Stephan
32 Beylkin, Gregory
32 Kim, Hong Oh
32 Labate, Demetrio
32 Nicola, Fabio
32 Potts, Daniel
32 Shah, Firdous Ahmad
32 Wu, Hau-Tieng
31 Feichtinger, Hans Georg
31 Liandrat, Jacques
31 Ying, Lexing
30 Arefijamaal, Ali Akbar
30 Cai, Jian-Feng
30 Fickus, Matthew C.
30 Kevrekidis, Ioannis George
30 Krahmer, Felix
29 Aldroubi, Akram
29 Bownik, Marcin
29 García, Antonio G.
29 Nielsen, Morten
29 Yang, Shouzhi
28 Adcock, Ben
28 Gelb, Anne
28 Kim, Rae Young
27 Balazs, Peter
27 Dong, Bin
27 Toft, Joachim
26 Bodmann, Bernhard G.
26 Chen, Dirong
26 Greengard, Leslie F.
26 Huang, Ting-Zhu
26 Yang, Haizhao
25 Coifman, Ronald Raphaël
25 Daubechies, Ingrid Chantal
25 Fornasier, Massimo
25 Powell, Alexander M.
25 Romero, José Luis
25 Singer, Amit
25 Trillo, Juan Carlos
25 Zhuang, Xiaosheng
24 Charina, Maria
24 Ehler, Martin
24 Führ, Hartmut
24 Gabardo, Jean-Pierre
24 Goh, Say Song
24 Pfander, Götz E.
24 Shen, Lixin
23 De Vito, Ernesto
23 Dutkay, Dorin Ervin
23 Fadili, Jalal M.
23 Jiang, Shidong
23 Vashisht, Lalit Kumar
22 Cabrelli, Carlos A.
22 Dahmen, Wolfgang A.
22 Huang, Yongdong
22 Jia, Rong-Qing
22 Kamyabi-Gol, Rajab Ali
22 Karoui, Abderrazek
22 Khrennikov, Andreĭ Yur’evich
22 Leng, Jinsong
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22 Xian, Jun
21 Candès, Emmanuel J.
21 Conti, Costanza
21 Ji, Hui
21 Lim, Jae Kun
21 Molter, Ursula Maria
21 Rahimi, Asghar
21 Rokhlin, Vladimir
21 Tropp, Joel A.
21 Yuan, Wen
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962 Applied and Computational Harmonic Analysis
356 The Journal of Fourier Analysis and Applications
302 International Journal of Wavelets, Multiresolution and Information Processing
243 Journal of Computational Physics
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215 Advances in Computational Mathematics
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166 Journal of Approximation Theory
154 SIAM Journal on Imaging Sciences
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58 Acta Mathematica Sinica. English Series
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