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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: 1,476 Publications (since 1993)
References Indexed: 1,334 Publications with 41,734 References.
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...and 72 more Volumes
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Authors

36 Chui, Charles Kam-tai
25 Coifman, Ronald Raphaël
24 Han, Bin
22 Shen, Zuowei
21 Beylkin, Gregory
20 Averbuch, Amir Z.
19 Wang, Yang
17 Rokhlin, Vladimir
15 Shen, Lixin
14 Kutyniok, Gitta
14 Mhaskar, Hrushikesh N.
14 Sun, Qiyu
14 Zhou, Dingxuan
13 Aldroubi, Akram
13 Christensen, Ole
13 Fickus, Matthew C.
13 Goh, Say Song
13 Jiang, Qingtang
13 Wu, Hau-Tieng
11 Daubechies, Ingrid
11 Labate, Demetrio
11 Mixon, Dustin G.
11 Monzón, Lucas
11 Unser, Michael A.
10 Cai, Jian-Feng
10 Gribonval, Rémi
10 Shkolnisky, Yoel
10 Xu, Zhiqiang
10 Zhuang, Xiaosheng
9 Bremer, James C.
9 Casazza, Peter George
9 Dong, Bin
9 Donoho, David Leigh
9 Dyn, Nira
9 Führ, Hartmut
9 Gröchenig, Karlheinz
9 Han, Deguang
9 Kim, Hong Oh
9 Li, Song
9 Pfander, Götz E.
9 Rauhut, Holger
9 Vandergheynst, Pierre
8 Baraniuk, Richard G.
8 Cohen, Albert
8 Grohs, Philipp
8 Iglewska-Nowak, Ilona
8 Ji, Hui
8 Lai, Mingjun
8 Meyer, Yves F.
8 Nielsen, Morten
8 Sun, Wenchang
8 Wolf, Guy
8 Xu, Yuesheng
8 Yang, Haizhao
7 Adcock, Ben
7 Bermanis, Amit
7 Cabrelli, Carlos A.
7 Candès, Emmanuel J.
7 Cloninger, Alexander
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 Zhou, Xingwei
6 Antoine, Jean-Pierre
6 Balazs, Peter
6 Bodmann, Bernhard G.
6 Bownik, Marcin
6 Charina, Maria
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 Needell, Deanna
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 Chen, Dirong
5 Davenport, Mark A.
5 Feichtinger, Hans Georg
5 Foucart, Simon
...and 1,723 more Authors
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Fields

784 Harmonic analysis on Euclidean spaces (42-XX)
512 Information and communication theory, circuits (94-XX)
422 Numerical analysis (65-XX)
194 Computer science (68-XX)
145 Approximations and expansions (41-XX)
145 Statistics (62-XX)
100 Functional analysis (46-XX)
84 Probability theory and stochastic processes (60-XX)
79 Operations research, mathematical programming (90-XX)
67 Partial differential equations (35-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
54 Operator theory (47-XX)
44 Combinatorics (05-XX)
38 Abstract harmonic analysis (43-XX)
36 Biology and other natural sciences (92-XX)
34 Special functions (33-XX)
31 Integral transforms, operational calculus (44-XX)
25 Systems theory; control (93-XX)
23 Quantum theory (81-XX)
19 Measure and integration (28-XX)
19 Functions of a complex variable (30-XX)
18 Global analysis, analysis on manifolds (58-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)
14 Potential theory (31-XX)
13 Topological groups, Lie groups (22-XX)
10 Optics, electromagnetic theory (78-XX)
9 Number theory (11-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Differential geometry (53-XX)
9 Geophysics (86-XX)
8 Group theory and generalizations (20-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 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 Order, lattices, ordered algebraic structures (06-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

1,288 Publications have been cited 21,147 times in 10,665 Documents Cited by Year
Diffusion maps. Zbl 1095.68094
Coifman, Ronald R.; Lafon, Stéphane
439
2006
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
333
2003
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
305
1993
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
288
2009
Iterative hard thresholding for compressed sensing. Zbl 1174.94008
Blumensath, Thomas; Davies, Mike E.
247
2009
Grassmannian frames with applications to coding and communication. Zbl 1028.42020
Strohmer, Thomas; Heath, Robert W. jun.
244
2003
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
207
2006
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
185
2009
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
181
1996
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
176
2008
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
168
1995
The theory of multiresolution analysis frames and applications to filter banks. Zbl 0915.42029
Benedetto, John J.; Li, Shidong
155
1998
Quantized frame expansions with erasures. Zbl 0992.94009
Goyal, Vivek K.; Kovačević, Jelena; Kelner, Jonathan A.
151
2001
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
134
2002
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
129
1993
Frames for operators. Zbl 1230.42038
Găvruţa, Laura
125
2012
On dual wavelet tight frames. Zbl 0880.42017
Han, Bin
122
1997
Diffusion wavelets. Zbl 1095.94007
Coifman, Ronald R.; Maggioni, Mauro
120
2006
Compressed sensing with coherent and redundant dictionaries. Zbl 1215.94026
Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna; Randall, Paige
119
2011
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
116
2008
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
108
2005
From graph to manifold Laplacian: the convergence rate. Zbl 1095.68102
Singer, A.
107
2006
On approximation of functions by exponential sums. Zbl 1075.65022
Beylkin, Gregory; Monzón, Lucas
105
2005
Saving phase: injectivity and stability for phase retrieval. Zbl 1305.90330
Bandeira, Afonso S.; Cahill, Jameson; Mixon, Dustin G.; Nelson, Aaron A.
104
2014
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
101
2008
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
101
2005
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
101
1999
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
99
2000
Wavelets on graphs via spectral graph theory. Zbl 1213.42091
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi
95
2011
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
93
2011
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
92
2007
Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
Singer, A.
92
2011
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.; Kevrekidis, Ioannis G.
90
2006
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
86
2004
Detection of edges in spectral data. Zbl 0952.42001
Gelb, Anne; Tadmor, Eitan
85
1999
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
83
2009
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
83
1999
Incompleteness of sparse coherent states. Zbl 0855.42024
Ramanathan, Jayakumar; Steger, Tim
81
1995
On the stability of frames and Riesz bases. Zbl 0829.46006
Favier, S. J.; Zalik, R. A.
80
1995
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
79
2020
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
Abreu, Luís Daniel
78
2010
Approximation by exponential sums revisited. Zbl 1189.65035
Beylkin, Gregory; Monzón, Lucas
78
2010
On the fast Fourier transform of functions with singularities. Zbl 0838.65142
Beylkin, G.
78
1995
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
76
1996
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
76
2011
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
75
2005
Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
Easley, Glenn; Labate, Demetrio; Lim, Wang-Q
73
2008
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
71
2013
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
70
2004
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
70
1993
An algebraic characterization of injectivity in phase retrieval. Zbl 1354.42003
Conca, Aldo; Edidin, Dan; Hering, Milena; Vinzant, Cynthia
69
2015
Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
Kingsbury, Nick
68
2001
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
68
1999
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
66
2013
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
65
2007
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
65
2003
Provable approximation properties for deep neural networks. Zbl 1390.68553
Shaham, Uri; Cloninger, Alexander; Coifman, Ronald R.
65
2018
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.
64
2004
The cosparse analysis model and algorithms. Zbl 1261.94018
Nam, S.; Davies, M. E.; Elad, M.; Gribonval, R.
63
2013
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
Aldroubi, Akram
63
2002
Harmonic analysis of neural networks. Zbl 0931.68104
Candès, Emmanuel J.
61
1999
A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\). Zbl 0961.42018
Bownik, Marcin
60
2000
Orthonormal bases of regular wavelets in spaces of homogeneous type. Zbl 1261.42057
Auscher, Pascal; Hytönen, Tuomas
59
2013
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
59
2005
Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). Zbl 1040.42025
Galperin, Yevgeniy V.; Samarah, Salti
59
2004
Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059
Trimèche, K.
59
1997
Variable bandwidth diffusion kernels. Zbl 1343.94020
Berry, Tyrus; Harlim, John
59
2016
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi
59
2015
Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
58
2011
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
58
1994
Dynamical sampling. Zbl 1412.94140
Aldroubi, A.; Cabrelli, C.; Molter, U.; Tang, S.
58
2017
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
57
1996
Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
Han, Bin
57
2012
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
Coifman, Ronald R.; Lafon, Stéphane
56
2006
A wavelet collocation method for the numerical solution of partial differential equations. Zbl 0853.65122
Bertoluzza, S.; Naldi, G.
56
1996
Interpolation via weighted \(\ell_{1}\) minimization. Zbl 1333.41003
Rauhut, Holger; Ward, Rachel
56
2016
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
Han, Bin
54
2010
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
53
2000
Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward
53
2006
A variational approach to the consistency of spectral clustering. Zbl 1396.49013
García Trillos, Nicolás; Slepčev, Dejan
53
2018
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
52
2014
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
Bodmann, Bernhard G.
51
2007
Random sampling of sparse trigonometric polynomials. Zbl 1123.94004
Rauhut, Holger
51
2007
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
50
2008
Explicit construction of framelets. Zbl 0984.42022
Petukhov, Alexander
50
2001
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
49
2012
Wavelet bi-frames with few generators from multivariate refinable functions. Zbl 1221.42062
Ehler, Martin; Han, Bin
48
2008
Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations. Zbl 1184.46066
Khrennikov, A. Yu.; Shelkovich, V. M.
48
2010
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
48
2005
Analysis of multiwindow Gabor-type schemes by frame methods. Zbl 0885.42024
Zibulski, Meir; Zeevi, Yehoshua Y.
48
1997
Phase retrieval: stability and recovery guarantees. Zbl 06298184
Eldar, Yonina C.; Mendelson, Shahar
47
2014
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
47
2001
Nonstationary wavelets on the \(m\)-sphere for scattered data. Zbl 0858.42025
Narcowich, Francis J.; Ward, Joseph D.
47
1996
Spike detection from inaccurate samplings. Zbl 1308.94046
Azaïs, Jean-Marc; de Castro, Yohann; Gamboa, Fabrice
47
2015
Convergence of vector subdivision schemes in Sobolev spaces. Zbl 1006.65153
Chen, Di-Rong; Jia, Rong-Qing; Riemenschneider, S. D.
46
2002
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
46
1999
Constructing tight fusion frames. Zbl 1221.42052
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
46
2011
New bounds on the restricted isometry constant \(\delta _{2k}\). Zbl 1231.94027
Mo, Qun; Li, Song
45
2011
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
45
2009
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
Sun, Hongwei; Wu, Qiang
45
2011
Time-frequency analysis on flat tori and Gabor frames in finite dimensions. Zbl 1530.42006
Abreu, L. D.; Balazs, P.; Holighaus, N.; Luef, F.; Speckbacher, M.
1
2024
Diffusion maps for embedded manifolds with boundary with applications to PDEs. Zbl 07796943
Vaughn, Ryan; Berry, Tyrus; Antil, Harbir
1
2024
Metaplectic Gabor frames and symplectic analysis of time-frequency spaces. Zbl 07796944
Cordero, Elena; Giacchi, Gianluca
1
2024
On the intermediate value property of spectra for a class of Moran spectral measures. Zbl 07796954
Li, Jinjun; Wu, Zhiyi
1
2024
Image denoising based on a variable spatially exponent PDE. Zbl 1532.68119
Laghrib, Amine; Afraites, Lekbir
1
2024
On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions. Zbl 07811901
Israel, Arie; Mayeli, Azita
1
2024
A sharp upper bound for sampling numbers in \(L_2\). Zbl 1527.41001
Dolbeault, Matthieu; Krieg, David; Ullrich, Mario
13
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.
11
2023
Injectivity of Gabor phase retrieval from lattice measurements. Zbl 1504.94040
Grohs, Philipp; Liehr, Lukas
8
2023
Regularization of inverse problems by filtered diagonal frame decomposition. Zbl 07628774
Ebner, Andrea; Frikel, Jürgen; Lorenz, Dirk; Schwab, Johannes; Haltmeier, Markus
5
2023
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions. Zbl 1509.82098
Gao, Yuan; Liu, Jian-Guo; Wu, Nan
5
2023
Constructive subsampling of finite frames with applications in optimal function recovery. Zbl 1528.41010
Bartel, Felix; Schäfer, Martin; Ullrich, Tino
5
2023
Understanding neural networks with reproducing kernel Banach spaces. Zbl 1511.46015
Bartolucci, Francesca; De Vito, Ernesto; Rosasco, Lorenzo; Vigogna, Stefano
4
2023
Capacity dependent analysis for functional online learning algorithms. Zbl 1532.62032
Guo, Xin; Guo, Zheng-Chu; Shi, Lei
4
2023
On 2-dimensional mobile sampling. Zbl 1504.42079
Rashkovskii, Alexander; Ulanovskii, Alexander; Zlotnikov, Ilya
3
2023
Riesz transform associated with the fractional Fourier transform and applications in image edge detection. Zbl 1518.42009
Fu, Zunwei; Grafakos, Loukas; Lin, Yan; Wu, Yue; Yang, Shuhui
3
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
The sparsity of LASSO-type minimizers. Zbl 1499.62243
Foucart, Simon
2
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Nodal domain count for the generalized graph \(p\)-Laplacian. Zbl 1512.35335
Deidda, Piero; Putti, Mario; Tudisco, Francesco
2
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Phase retrieval of bandlimited functions for the wavelet transform. Zbl 1517.42033
Alaifari, Rima; Bartolucci, Francesca; Wellershoff, Matthias
2
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Local approximation of operators. Zbl 1510.41014
Mhaskar, H. N.
2
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\(n\)-best kernel approximation in reproducing kernel Hilbert spaces. Zbl 1528.41078
Qian, Tao
2
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The universal approximation theorem for complex-valued neural networks. Zbl 1528.41050
Voigtlaender, Felix
2
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Predictive algorithms in dynamical sampling for burst-like forcing terms. Zbl 1512.94044
Aldroubi, Akram; Huang, Longxiu; Kornelson, Keri; Krishtal, Ilya
2
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Algebraic compressed sensing. Zbl 1514.94009
Breiding, Paul; Gesmundo, Fulvio; Michałek, Mateusz; Vannieuwenhoven, Nick
2
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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
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A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers. Zbl 1514.42037
Knutsen, Helge
1
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Harmonic analysis on directed graphs and applications: from Fourier analysis to wavelets. Zbl 1504.05112
Sevi, Harry; Rilling, Gabriel; Borgnat, Pierre
1
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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
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Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application. Zbl 1531.94008
Chen, Ziyu; Wu, Hau-Tieng
1
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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
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On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures. Zbl 1527.28007
Li, Jinjun; Wu, Zhiyi
1
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Computing committors in collective variables via Mahalanobis diffusion maps. Zbl 1528.65007
Evans, Luke; Cameron, Maria K.; Tiwary, Pratyush
1
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Papoulis’ sampling theorem: revisited. Zbl 1509.94031
Tantary, Azhar Y.; Shah, Firdous A.; Zayed, Ahmed I.
1
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Phase function methods for second order linear ordinary differential equations with turning points. Zbl 1518.34012
Bremer, James
1
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Lower bounds on the low-distortion embedding dimension of submanifolds of \(\mathbb{R}^n\). Zbl 1522.46024
Iwen, Mark; Schmidt, Benjamin; Tavakoli, Arman
1
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Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces. Zbl 07740093
Toft, Joachim; Bhimani, Divyang G.; Manna, Ramesh
1
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Stable parameterization of continuous and piecewise-linear functions. Zbl 07740094
Goujon, Alexis; Campos, Joaquim; Unser, Michael
1
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Tensor completion by multi-rank via unitary transformation. Zbl 1514.15037
Song, Guang-Jing; Ng, Michael K.; Zhang, Xiongjun
1
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Frames by orbits of two operators that commute. Zbl 1522.42060
Aguilera, A.; Cabrelli, C.; Carbajal, D.; Paternostro, V.
1
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A unified approach to synchronization problems over subgroups of the orthogonal group. Zbl 1522.90080
Liu, Huikang; Yue, Man-Chung; So, Anthony Man-Cho
1
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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
15
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Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017
Cordero, Elena; Rodino, Luigi
12
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Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods. Zbl 1492.94033
Ling, Shuyang
10
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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
10
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Generalization error of random feature and kernel methods: hypercontractivity and kernel matrix concentration. Zbl 07522503
Mei, Song; Misiakiewicz, Theodor; Montanari, Andrea
8
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Convex optimization in sums of Banach spaces. Zbl 1489.46074
Unser, Michael; Aziznejad, Shayan
7
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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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Solving phase retrieval with random initial guess is nearly as good as by spectral initialization. Zbl 1485.94015
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
6
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A mathematical theory of the computational resolution limit in one dimension. Zbl 1479.94037
Liu, Ping; Zhang, Hai
6
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Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation. Zbl 1496.65203
Cheng, Xiuyuan; Wu, Nan
5
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Analysis and algorithms for \(\ell_p\)-based semi-supervised learning on graphs. Zbl 07557810
Flores, Mauricio; Calder, Jeff; Lerman, Gilad
5
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Hirschman-Widder densities. Zbl 1502.44004
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai
4
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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
4
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Spectral analysis of weighted Laplacians arising in data clustering. Zbl 07432352
Hoffmann, Franca; Hosseini, Bamdad; Oberai, Assad A.; Stuart, Andrew M.
4
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An extremal problem for polynomials. Zbl 1479.42001
Dmitrishin, Dmitriy; Smorodin, Andrey; Stokolos, Alex
4
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A necessary and sufficient condition for sparse vector recovery via \(\ell_1-\ell_2\) minimization. Zbl 1485.90095
Bi, Ning; Tang, Wai-Shing
4
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A sufficient condition for mobile sampling in terms of surface density. Zbl 07576441
Jaye, Benjamin; Mitkovski, Mishko
3
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Gradient projection Newton pursuit for sparsity constrained optimization. Zbl 1501.65023
Zhou, Shenglong
3
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Rates of convergence of randomized Kaczmarz algorithms in Hilbert spaces. Zbl 1497.65090
Guo, Xin; Lin, Junhong; Zhou, Ding-Xuan
3
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Graph signal interpolation with positive definite graph basis functions. Zbl 1493.94005
Erb, Wolfgang
3
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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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Differentially private SGD with non-smooth losses. Zbl 1480.90183
Wang, Puyu; Lei, Yunwen; Ying, Yiming; Zhang, Hai
3
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Frames of translates for model sets. Zbl 1487.42075
Matusiak, Ewa
2
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Deep microlocal reconstruction for limited-angle tomography. Zbl 07522506
Andrade-Loarca, Héctor; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp
2
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Multivariate Vandermonde matrices with separated nodes on the unit circle are stable. Zbl 1486.15026
Kunis, Stefan; Nagel, Dominik; Strotmann, Anna
2
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On the numerical evaluation of the prolate spheroidal wave functions of order zero. Zbl 1496.65034
Bremer, James
2
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A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy. Zbl 1512.41004
Yang, Hyoseon; Yoon, Jungho
2
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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
2
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Twisted B-splines in the complex plane. Zbl 1484.41007
Das, S. R.; Massopust, P.; Radha, R.
2
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Signal recovery from a few linear measurements of its high-order spectra. Zbl 1479.94057
Bendory, Tamir; Edidin, Dan; Kreymer, Shay
2
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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
2
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On description of dual frames. Zbl 1489.46018
Kamuda, Alan; Kużel, Sergiusz
2
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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
2
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Activation function design for deep networks: linearity and effective initialisation. Zbl 07522505
Murray, M.; Abrol, V.; Tanner, J.
1
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Metric entropy limits on recurrent neural network learning of linear dynamical systems. Zbl 1487.93022
Hutter, Clemens; Gül, Recep; Bölcskei, Helmut
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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Nonconvex regularization for sparse neural networks. Zbl 07576440
Pieper, Konstantin; Petrosyan, Armenak
1
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Toric symplectic geometry and full spark frames. Zbl 1496.42041
Needham, Tom; Shonkwiler, Clayton
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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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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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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A multiscale environment for learning by diffusion. Zbl 07472531
Murphy, James M.; Polk, Sam L.
1
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Irregular Gabor frames of Cauchy kernels. Zbl 1490.42031
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii
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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Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\). Zbl 1460.42008
Dai, Xin-Rong; Fu, Xiao-Ye; Yan, Zhi-Hui
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Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 1473.37101
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna
20
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Fractional Fourier transforms on \(L^p\) and applications. Zbl 1471.42009
Chen, Wei; Fu, Zunwei; Grafakos, Loukas; Wu, Yue
20
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Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
Li, Weilin; Liao, Wenjing
19
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Uniqueness of STFT phase retrieval for bandlimited functions. Zbl 1460.94017
Alaifari, Rima; Wellershoff, Matthias
17
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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
15
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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
13
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Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015
Kolomoitsev, Yu.; Skopina, M.
12
2021
Random sampling and reconstruction of concentrated signals in a reproducing kernel space. Zbl 1467.94013
Li, Yaxu; Sun, Qiyu; Xian, Jun
11
2021
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.
11
2021
Spectrality of generalized Sierpinski-type self-affine measures. Zbl 1472.28007
Liu, Jing-Cheng; Zhang, Ying; Wang, Zhi-Yong; Chen, Ming-Liang
11
2021
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
11
2021
Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
Alaifari, Rima; Grohs, Philipp
11
2021
Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
Barnett, Alex H.
10
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63 Shen, Zuowei
62 Christensen, Ole
57 Zhou, Dingxuan
56 Chui, Charles Kam-tai
56 Kutyniok, Gitta
55 Li, Yunzhang
55 Sun, Wenchang
53 Li, Song
52 Han, Deguang
52 Sun, Qiyu
50 Casazza, Peter George
49 Amat Plata, Sergio
49 Gröchenig, Karlheinz
48 Han, Bin
45 Jørgensen, Palle E. T.
45 Mixon, Dustin G.
43 Xu, Yuesheng
41 Mhaskar, Hrushikesh N.
40 Jiang, Qingtang
40 Yang, Dachun
39 Grohs, Philipp
39 Plonka, Gerlind
39 Rauhut, Holger
39 Wang, Yang
38 Steidl, Gabriele
37 Averbuch, Amir Z.
37 Shah, Firdous Ahmad
36 Cordero, Elena
35 Chesneau, Christophe
34 Dahlke, Stephan
34 Kevrekidis, Ioannis George
33 Beylkin, Gregory
33 Chen, Dirong
33 Krahmer, Felix
33 Labate, Demetrio
33 Liandrat, Jacques
33 Potts, Daniel
33 Wu, Hau-Tieng
33 Yang, Shouzhi
32 Adcock, Ben
32 Arefijamaal, Ali Akbar
32 Feichtinger, Hans Georg
32 Kim, Hong Oh
32 Nicola, Fabio
32 Ying, Lexing
31 Romero, José Luis
30 Aldroubi, Akram
30 Balazs, Peter
30 Cai, Jian-Feng
30 Fickus, Matthew C.
29 Bownik, Marcin
29 García, Antonio G.
29 Greengard, Leslie F.
29 Nielsen, Morten
29 Trillo, Juan Carlos
28 Dong, Bin
28 Gelb, Anne
28 Kim, Rae Young
28 Toft, Joachim
27 Huang, Ting-Zhu
27 Singer, Amit
27 Yang, Haizhao
26 Coifman, Ronald Raphaël
26 Daubechies, Ingrid
26 Zhuang, Xiaosheng
25 Bodmann, Bernhard G.
25 Fornasier, Massimo
25 Führ, Hartmut
25 Gabardo, Jean-Pierre
25 Powell, Alexander M.
25 Rahimi, Asghar
25 Vashisht, Lalit Kumar
24 Charina, Maria
24 Ehler, Martin
24 Goh, Say Song
24 Jiang, Shidong
24 Leng, Jinsong
24 Pfander, Götz E.
24 Shen, Lixin
24 Xian, Jun
23 Cabrelli, Carlos A.
23 De Vito, Ernesto
23 Dutkay, Dorin Ervin
23 Fadili, Jalal M.
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23 Iwen, Mark A.
23 Zeng, Tie Yong
22 Candès, Emmanuel J.
22 Conti, Costanza
22 Dahmen, Wolfgang A.
22 Jia, Rong-Qing
22 Kamyabi-Gol, Rajab Ali
22 Karoui, Abderrazek
22 Khrennikov, Andreĭ Yur’evich
22 Lu, Jian
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22 Steinerberger, Stefan
22 Yuan, Wen
21 Gribonval, Rémi
21 Ji, Hui
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Cited in 770 Journals

993 Applied and Computational Harmonic Analysis
364 The Journal of Fourier Analysis and Applications
304 International Journal of Wavelets, Multiresolution and Information Processing
261 Journal of Computational Physics
235 Journal of Mathematical Analysis and Applications
222 Advances in Computational Mathematics
206 Journal of Computational and Applied Mathematics
171 Journal of Approximation Theory
160 SIAM Journal on Imaging Sciences
146 Applied Mathematics and Computation
141 Journal of Scientific Computing
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131 Inverse Problems
124 SIAM Journal on Scientific Computing
118 Journal of Functional Analysis
110 Analysis and Applications (Singapore)
107 The Annals of Statistics
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96 Constructive Approximation
94 Mathematics of Computation
90 Numerical Functional Analysis and Optimization
83 Mathematical Methods in the Applied Sciences
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71 Journal of Machine Learning Research (JMLR)
70 Foundations of Computational Mathematics
69 Numerical Algorithms
68 Mathematical Problems in Engineering
66 Journal of Pseudo-Differential Operators and Applications
63 Results in Mathematics
62 Journal of Inequalities and Applications
59 Acta Mathematica Sinica. English Series
58 Applied Numerical Mathematics
57 Journal of Complexity
57 Science China. Mathematics
56 The Journal of Geometric Analysis
55 SIAM Journal on Mathematics of Data Science
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33 SIAM Journal on Numerical Analysis
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26 BIT
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26 Physica D
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25 Applied Mathematics Letters
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24 Sahand Communications in Mathematical Analysis
23 Pattern Recognition
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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22 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
22 SIAM/ASA Journal on Uncertainty Quantification
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