## 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: 1,356 Publications (since 1993) References Indexed: 1,214 Publications with 36,877 References.
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### Latest Issues

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### Authors

 32 Chui, Charles Kam-tai 25 Coifman, Ronald Raphaël 24 Han, Bin 22 Shen, Zuowei 20 Beylkin, Gregory 19 Averbuch, Amir Z. 16 Rokhlin, Vladimir 14 Shen, Lixin 14 Zhou, Dingxuan 13 Christensen, Ole 13 Goh, Say Song 13 Kutyniok, Gitta 13 Mhaskar, Hrushikesh N. 13 Sun, Qiyu 12 Aldroubi, Akram 12 Fickus, Matthew C. 12 Jiang, Qingtang 11 Labate, Demetrio 11 Monzón, Lucas 10 Cai, Jian-Feng 10 Daubechies, Ingrid Chantal 10 Gribonval, Rémi 10 Unser, Michael A. 10 Wang, Yang 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 9 Wu, Hau-Tieng 8 Baraniuk, Richard G. 8 Bremer, James C. 8 Cohen, Albert 8 Dyn, Nira 8 Gröchenig, Karlheinz 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 Grohs, Philipp 7 Jia, Rong-Qing 7 Kim, Rae Young 7 Saito, Naoki 7 Singer, Amit 7 Stöckler, Joachim 7 Zhou, Xingwei 6 Antoine, Jean-Pierre 6 Bodmann, Bernhard G. 6 Cabrelli, Carlos A. 6 Cordero, Elena 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 Tanner, Jared W. 6 Tygert, Mark 6 Wang, Jianzhong 6 Wilson, Edward N. 6 Yang, Haizhao 5 Benedetto, John Joseph 5 Bownik, Marcin 5 Calderbank, Arthur Robert 5 Chan, Raymond Hon-Fu 5 Charina, Maria 5 Chen, Dirong 5 Davenport, Mark A. 5 De Vito, Ernesto 5 Edidin, Dan 5 Giryes, Raja 5 Hansen, Anders C. 5 Hernandez, Eugenio 5 Lim, Jae Kun 5 Lin, Junhong 5 Lyubarskii, Yurii I. 5 Madych, Wolodymyr R. 5 Maggioni, Mauro ...and 1,536 more Authors
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### Fields

 743 Harmonic analysis on Euclidean spaces (42-XX) 478 Information and communication theory, circuits (94-XX) 384 Numerical analysis (65-XX) 165 Computer science (68-XX) 131 Approximations and expansions (41-XX) 124 Statistics (62-XX) 82 Functional analysis (46-XX) 75 Probability theory and stochastic processes (60-XX) 63 Operations research, mathematical programming (90-XX) 62 Partial differential equations (35-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 47 Operator theory (47-XX) 37 Combinatorics (05-XX) 35 Abstract harmonic analysis (43-XX) 30 Special functions (33-XX) 30 Biology and other natural sciences (92-XX) 26 Integral transforms, operational calculus (44-XX) 23 Systems theory; control (93-XX) 20 Quantum theory (81-XX) 14 Real functions (26-XX) 14 Measure and integration (28-XX) 14 Functions of a complex variable (30-XX) 14 Ordinary differential equations (34-XX) 14 Integral equations (45-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Potential theory (31-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) 7 Number theory (11-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-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) 3 Manifolds and cell complexes (57-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)

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Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
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Wavelets on graphs via spectral graph theory. Zbl 1213.42091
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Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
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Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
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Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
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Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
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Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
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Approximation by exponential sums revisited. Zbl 1189.65035
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Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
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Density of Gabor frames. Zbl 0960.42007
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1999
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
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Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
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Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
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Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
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A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
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Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
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Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
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Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
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2000
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
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Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
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Data-driven tight frame construction and image denoising. Zbl 1336.94008
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2014
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2004
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
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2007
Interpolation via weighted $$\ell_{1}$$ minimization. Zbl 1333.41003
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2016
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2017
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
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2011
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
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2015
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
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2006
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
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2006
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
2008
Exponential spectra in $$L^2(\mu)$$. Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
2013
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
1999
Combined spherical harmonic and wavelet expansion – a future concept in earth’s gravitational determination. Zbl 0865.42029
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1997
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
2012
Smooth wavelet tight frames with zero moments. Zbl 0972.42025
Selesnick, Ivan W.
2001
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
2005
Phase retrieval: stability and recovery guarantees. Zbl 06298184
Eldar, Yonina C.; Mendelson, Shahar
2014
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2011
New bounds on the restricted isometry constant $$\delta _{2k}$$. Zbl 1231.94027
Mo, Qun; Li, Song
2011
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
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2009
Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications. Zbl 1135.42013
Xian, Jun; Li, Song
2007
Stereographic wavelet frames on the sphere. Zbl 1082.42026
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2005
Variable bandwidth diffusion kernels. Zbl 1343.94020
Berry, Tyrus; Harlim, John
2016
Orthonormal bases of regular wavelets in spaces of homogeneous type. Zbl 1261.42057
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2013
High-order approximation rates for shallow neural networks with cosine and $$\mathrm{ReLU}^k$$ activation functions. Zbl 07495639
Siegel, Jonathan W.; Xu, Jinchao
2022
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks. Zbl 07522504
Liu, Chaoyue; Zhu, Libin; Belkin, Mikhail
2022
Convex optimization in sums of Banach spaces. Zbl 1489.46074
2022
An extremal problem for polynomials. Zbl 1479.42001
Dmitrishin, Dmitriy; Smorodin, Andrey; Stokolos, Alex
2022
On description of dual frames. Zbl 1489.46018
Kamuda, Alan; Kużel, Sergiusz
2022
A mathematical theory of the computational resolution limit in one dimension. Zbl 1479.94037
Liu, Ping; Zhang, Hai
2022
Frames of translates for model sets. Zbl 1487.42075
Matusiak, Ewa
2022
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
2022
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods. Zbl 07557808
Ling, Shuyang
2022
Improved spectral convergence rates for graph Laplacians on $$\varepsilon$$-graphs and $$k$$-NN graphs. Zbl 07557811
Calder, Jeff; García Trillos, Nicolás
2022
Hirschman-Widder densities. Zbl 07557819
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai
2022
Spectrality of self-affine Sierpinski-type measures on $$\mathbb{R}^2$$. Zbl 1460.42008
Dai, Xin-Rong; Fu, Xiao-Ye; Yan, Zhi-Hui
2021
Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
Li, Weilin; Liao, Wenjing
2021
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120
Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni
2021
Quasi-projection operators in weighted $$L_p$$ spaces. Zbl 1460.41015
Kolomoitsev, Yu.; Skopina, M.
2021
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
2021
Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
Alaifari, Rima; Grohs, Philipp
2021
Aliasing error of the $$\exp(\beta\sqrt{1-z^2})$$ kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
Barnett, Alex H.
2021
Uniqueness of STFT phase retrieval for bandlimited functions. Zbl 1460.94017
Alaifari, Rima; Wellershoff, Matthias
2021
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE. Zbl 1460.94018
Alberti, Giovanni S.; Santacesaria, Matteo
2021
Fractional Fourier transforms on $$L^p$$ and applications. Zbl 1471.42009
Chen, Wei; Fu, Zunwei; Grafakos, Loukas; Wu, Yue
2021
Spectrality of generalized Sierpinski-type self-affine measures. Zbl 1472.28007
Liu, Jing-Cheng; Zhang, Ying; Wang, Zhi-Yong; Chen, Ming-Liang
2021
Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 1473.37101
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna
2021
Almost everywhere generalized phase retrieval. Zbl 1460.42048
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
2021
On Bayesian estimation and proximity operators. Zbl 1461.62040
Gribonval, Rémi; Nikolova, Mila
2021
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. Zbl 1467.42054
Chui, Charles K.; Han, Ningning
2021
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling. Zbl 1472.94020
Adcock, Ben; Antun, Vegard; Hansen, Anders C.
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.
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
2021
Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008
Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng
2021
Regularization with multilevel non-stationary tight framelets for image restoration. Zbl 1467.94005
Li, Yan-Ran; Chan, Raymond H. F.; Shen, Lixin; Zhuang, Xiaosheng
2021
Sparse non-negative super-resolution – simplified and stabilised. Zbl 1460.94019
Eftekhari, Armin; Tanner, Jared; Thompson, Andrew; Toader, Bogdan; Tyagi, Hemant
2021
Hadamard equiangular tight frames. Zbl 1461.42021
Fickus, Matthew; Jasper, John; Mixon, Dustin G.; Peterson, Jesse D.
2021
Fractional Hardy-Sobolev $$L^1$$-embedding per capacity-duality. Zbl 1460.31015
Liu, Liguang; Xiao, Jie
2021
Dynamical sampling for shift-preserving operators. Zbl 07328415
Aguilera, A.; Cabrelli, C.; Carbajal, D.; Paternostro, V.
2021
Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms. Zbl 1460.42055
Han, Bin; Lu, Ran
2021
Tempered fractional Brownian motion: wavelet estimation, modeling and testing. Zbl 1461.62152
Boniece, B. Cooper; Didier, Gustavo; Sabzikar, Farzad
2021
$$\ell^1$$-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian
2021
The Nyquist sampling rate for spiraling curves. Zbl 1460.42049
Jaming, Philippe; Negreira, Felipe; Romero, José Luis
2021
On a discrete transform of homogeneous decomposition spaces. Zbl 1471.42048
Al-Jawahri, Zeineb; Nielsen, Morten
2021
Optimal learning with anisotropic Gaussian SVMs. Zbl 07390687
Hang, Hanyuan; Steinwart, Ingo
2021
Functional penalised basis pursuit on spheres. Zbl 1476.49049
Simeoni, Matthieu
2021
On linear weak predictability with single point spectrum degeneracy. Zbl 1467.94011
Dokuchaev, Nikolai
2021
Rician noise removal via weighted nuclear norm penalization. Zbl 1469.65107
Lu, Jian; Tian, Jiapeng; Jiang, Qingtang; Liu, Xiaoxia; Hu, Zhenwei; Zou, Yuru
2021
Maximum entropy models from phase harmonic covariances. Zbl 1467.94016
Zhang, Sixin; Mallat, Stéphane
2021
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs. Zbl 1477.65197
Brugiapaglia, Simone; Dirksen, Sjoerd; Jung, Hans Christian; Rauhut, Holger
2021
Low-rank matrix recovery via regularized nuclear norm minimization. Zbl 1469.65090
Wang, Wendong; Zhang, Feng; Wang, Jianjun
2021
Fractional diffusion maps. Zbl 1469.60247
Antil, Harbir; Berry, Tyrus; Harlim, John
2021
The recovery of complex sparse signals from few phaseless measurements. Zbl 1460.94027
Xia, Yu; Xu, Zhiqiang
2021
Time-frequency transforms of white noises and Gaussian analytic functions. Zbl 1460.42009
2021
The diffusion geometry of fibre bundles: horizontal diffusion maps. Zbl 1464.58011
Gao, Tingran
2021
Finding duality for Riesz bases of exponentials on multi-tiles. Zbl 1464.42024
Frederick, Christina; Okoudjou, Kasso A.
2021
A simple shearlet-based 2D Radon inversion with an application to computed tomography. Zbl 1460.42054
Córdova, Santiago; Vera, Daniel
2021
Multidimensional scaling of noisy high dimensional data. Zbl 1461.62235
Peterfreund, Erez; Gavish, Matan
2021
Multiresolution mode decomposition for adaptive time series analysis. Zbl 1462.42012
Yang, Haizhao
2021
Graph Fourier transform based on $$\ell_1$$ norm variation minimization. Zbl 1479.94077
Yang, Lihua; Qi, Anna; Huang, Chao; Huang, Jianfeng
2021
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
2020
Data-driven spectral analysis of the Koopman operator. Zbl 1436.37093
Korda, Milan; Putinar, Mihai; Mezić, Igor
2020
Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces. Zbl 1436.62146
Lin, Junhong; Rudi, Alessandro; Rosasco, Lorenzo; Cevher, Volkan
2020
Phase retrieval of real-valued signals in a shift-invariant space. Zbl 1436.94017
Chen, Yang; Cheng, Cheng; Sun, Qiyu; Wang, Haichao
2020
Learning with correntropy-induced losses for regression with mixture of symmetric stable noise. Zbl 1436.62308
Feng, Yunlong; Ying, Yiming
2020
Large data and zero noise limits of graph-based semi-supervised learning algorithms. Zbl 1442.62768
Dunlop, Matthew M.; Slepčev, Dejan; Stuart, Andrew M.; Thorpe, Matthew
2020
Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization. Zbl 07140142
Iwen, Mark A.; Preskitt, Brian; Saab, Rayan; Viswanathan, Aditya
2020
Distributed kernel gradient descent algorithm for minimum error entropy principle. Zbl 1434.68416
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
2020
Learning under $$(1 + \epsilon)$$-moment conditions. Zbl 1442.62150
Feng, Yunlong; Wu, Qiang
2020
Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere. Zbl 1462.60064
Le Gia, Quoc Thong; Sloan, Ian H.; Womersley, Robert S.; Wang, Yu Guang
2020
Balancing principle in supervised learning for a general regularization scheme. Zbl 07140131
Lu, Shuai; Mathé, Peter; Pereverzev, Sergei V.
2020
Asymptotic normality for wavelet deconvolution density estimators. Zbl 1440.42176
Liu, Youming; Zeng, Xiaochen
2020
Intertwining wavelets or multiresolution analysis on graphs through random forests. Zbl 1454.94022
Avena, Luca; Castell, Fabienne; Gaudillière, Alexandre; Mélot, Clothilde
2020
A classification of anisotropic Besov spaces. Zbl 1457.46045
Cheshmavar, Jahangir; Führ, Hartmut
2020
On the stable sampling rate for binary measurements and wavelet reconstruction. Zbl 1454.94032
Hansen, A. C.; Thesing, L.
2020
How to get high resolution results from sparse and coarsely sampled data. Zbl 1442.94020
Cuyt, Annie; Lee, Wen-shin
2020
Interpolating splines on graphs for data science applications. Zbl 1442.41001
Ward, John Paul; Narcowich, Francis J.; Ward, Joseph D.
2020
Super-resolution by means of Beurling minimal extrapolation. Zbl 1439.43004
Benedetto, John J.; Li, Weilin
2020
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation. Zbl 1450.42020
Li, Lin; Cai, Haiyan; Jiang, Qingtang
2020
On signal reconstruction from FROG measurements. Zbl 1454.94023
Bendory, Tamir; Edidin, Dan; Eldar, Yonina C.
2020
Perspectives on CUR decompositions. Zbl 1432.15014
Hamm, Keaton; Huang, Longxiu
2020
Koopman spectra in reproducing kernel Hilbert spaces. Zbl 1446.37072
Das, Suddhasattwa; Giannakis, Dimitrios
2020
Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions. Zbl 1437.42052
Diao, Chenzhe; Han, Bin
2020
Tight framelets and fast framelet filter bank transforms on manifolds. Zbl 1447.42033
Wang, Yu Guang; Zhuang, Xiaosheng
2020
On dissipative nonlinear evolutional pseudo-differential equations. Zbl 1447.35405
Chen, Mingjuan; Wang, Baoxiang; Wang, Shuxia; Wong, M. W.
2020
Phaseless reconstruction from space-time samples. Zbl 07140141
Aldroubi, Akram; Krishtal, I.; Tang, S.
2020
Complex best $$r$$-term approximations almost always exist in finite dimensions. Zbl 1483.41010
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng
2020
Multi-view kernel consensus for data analysis. Zbl 1434.68537
Salhov, Moshe; Lindenbaum, Ofir; Aizenbud, Yariv; Silberschatz, Avi; Shkolnisky, Yoel; Averbuch, Amir
2020
Convergence of online mirror descent. Zbl 07140139
Lei, Yunwen; Zhou, Ding-Xuan
2020
A fast simple algorithm for computing the potential of charges on a line. Zbl 1446.31009
Gimbutas, Zydrunas; Marshall, Nicholas F.; Rokhlin, Vladimir
2020
The noise-sensitivity phase transition in spectral group synchronization over compact groups. Zbl 07242756
2020
Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin
2020
Uniform recovery from subgaussian multi-sensor measurements. Zbl 1454.94024
2020
Approximate support recovery of atomic line spectral estimation: a tale of resolution and precision. Zbl 1436.62081
Li, Qiuwei; Tang, Gongguo
2020
An edge driven wavelet frame model for image restoration. Zbl 1454.94013
Choi, Jae Kyu; Dong, Bin; Zhang, Xiaoqun
2020
Gaussian and sparse processes are limits of generalized Poisson processes. Zbl 1431.60037
Fageot, Julien; Uhlmann, Virginie; Unser, Michael
2020
Fast cross-validation in harmonic approximation. Zbl 07216378
Bartel, Felix; Hielscher, Ralf; Potts, Daniel
2020
Holographic sensing. Zbl 1437.62698
Bruckstein, A. M.; Ezerman, M. F.; Fahreza, A. A.; Ling, S.
2020
Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198
Banisch, Ralf; Trstanova, Zofia; Bittracher, Andreas; Klus, Stefan; Koltai, Péter
2020
Modulation spaces with scaling symmetry. Zbl 1440.42101
2020
Phase retrieval: a data-driven wavelet frame based approach. Zbl 07242757
Pang, Tongyao; Li, Qingna; Wen, Zaiwen; Shen, Zuowei
2020
Analysis of edge and corner points using parabolic dictionaries. Zbl 1439.42046
Grohs, Philipp; Kereta, Željko
2020
On the zeros of the spectrogram of white noise. Zbl 1460.62155
Bardenet, Rémi; Flamant, Julien; Chainais, Pierre
2020
Investigations on the approximability and computability of the Hilbert transform with applications. Zbl 1452.44005
Boche, Holger; Pohl, Volker
2020
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### Cited by 9,162 Authors

 61 Shen, Zuowei 59 Christensen, Ole 55 Sun, Wenchang 51 Chui, Charles Kam-tai 51 Kutyniok, Gitta 50 Han, Deguang 49 Li, Song 49 Sun, Qiyu 48 Han, Bin 47 Li, Yunzhang 46 Zhou, Dingxuan 45 Casazza, Peter George 44 Gröchenig, Karlheinz 39 Amat, Sergio P. 39 Mhaskar, Hrushikesh N. 39 Mixon, Dustin G. 38 Jørgensen, Palle E. T. 37 Jiang, Qingtang 37 Xu, Yuesheng 36 Plonka, Gerlind 35 Rauhut, Holger 35 Steidl, Gabriele 34 Chesneau, Christophe 33 Dahlke, Stephan 32 Grohs, Philipp 32 Kim, Hong Oh 31 Averbuch, Amir Z. 31 Beylkin, Gregory 31 Chen, Dirong 31 Liandrat, Jacques 30 Labate, Demetrio 30 Shah, Firdous Ahmad 29 García, Antonio G. 29 Potts, Daniel 28 Cordero, Elena 28 Fickus, Matthew C. 28 Kim, Rae Young 28 Krahmer, Felix 28 Nielsen, Morten 28 Yang, Shouzhi 28 Ying, Lexing 27 Arefijamaal, Ali Akbar 27 Cai, Jian-Feng 27 Dong, Bin 27 Gelb, Anne 26 Aldroubi, Akram 26 Bownik, Marcin 26 Nicola, Fabio 25 Adcock, Ben 25 Coifman, Ronald Raphaël 25 Feichtinger, Hans Georg 25 Wu, Hau-Tieng 25 Yang, Haizhao 24 Bodmann, Bernhard G. 24 Charina, Maria 24 Gabardo, Jean-Pierre 24 Goh, Say Song 24 Yang, Dachun 23 Daubechies, Ingrid Chantal 23 Ehler, Martin 23 Greengard, Leslie F. 23 Huang, Ting-Zhu 23 Kevrekidis, Ioannis George 23 Romero, José Luis 23 Shen, Lixin 23 Zhuang, Xiaosheng 22 De Vito, Ernesto 22 Dutkay, Dorin Ervin 22 Huang, Yongdong 22 Jia, Rong-Qing 22 Jiang, Shidong 22 Karoui, Abderrazek 22 Khrennikov, Andreĭ Yur’evich 22 Powell, Alexander M. 22 Trillo, Juan Carlos 21 Balazs, Peter 21 Candès, Emmanuel J. 21 Dahmen, Wolfgang A. 21 Fornasier, Massimo 21 Lim, Jae Kun 21 Pfander, Götz E. 21 Rahimi, Asghar 21 Singer, Amit 21 Toft, Joachim 21 Xian, Jun 20 Benedetto, John Joseph 20 Cabrelli, Carlos A. 20 Führ, Hartmut 20 Molter, Ursula Maria 19 Conti, Costanza 19 Fadili, Jalal M. 19 Gribonval, Rémi 19 Ji, Hui 19 Rokhlin, Vladimir 19 Shi, Xianliang 19 Skopina, Maria A. 19 Stöckler, Joachim 19 Zeng, Tie Yong 19 Zhou, Xingwei 18 Cohen, Albert ...and 9,062 more Authors
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### Cited in 700 Journals

 896 Applied and Computational Harmonic Analysis 337 The Journal of Fourier Analysis and Applications 286 International Journal of Wavelets, Multiresolution and Information Processing 221 Journal of Computational Physics 212 Journal of Mathematical Analysis and Applications 204 Advances in Computational Mathematics 181 Journal of Computational and Applied Mathematics 158 Journal of Approximation Theory 131 Linear Algebra and its Applications 129 Applied Mathematics and Computation 125 SIAM Journal on Imaging Sciences 114 Journal of Scientific Computing 107 Journal of Functional Analysis 96 SIAM Journal on Scientific Computing 94 The Annals of Statistics 92 Journal of Mathematical Imaging and Vision 90 Mathematics of Computation 86 Analysis and Applications (Singapore) 81 Inverse Problems 79 Constructive Approximation 74 Numerical Functional Analysis and Optimization 66 Proceedings of the American Mathematical Society 65 Mathematical Problems in Engineering 60 Foundations of Computational Mathematics 56 Science China. Mathematics 54 Numerical Algorithms 54 Journal of Inequalities and Applications 54 Acta Mathematica Sinica. English Series 52 Results in Mathematics 51 Acta Applicandae Mathematicae 49 Applied Numerical Mathematics 48 Transactions of the American Mathematical Society 48 Electronic Journal of Statistics 48 Journal of Pseudo-Differential Operators and Applications 47 Applicable Analysis 47 Computers & Mathematics with Applications 47 The Journal of Geometric Analysis 43 Numerische Mathematik 43 Engineering Analysis with Boundary Elements 42 Abstract and Applied Analysis 42 Inverse Problems and Imaging 41 SIAM Journal on Mathematics of Data Science 39 Neural Computation 39 Complex Analysis and Operator Theory 38 Circuits, Systems, and Signal Processing 38 Journal of Complexity 37 Journal of Machine Learning Research (JMLR) 36 Computer Aided Geometric Design 35 Journal of Mathematical Physics 35 Mediterranean Journal of Mathematics 33 Multiscale Modeling & Simulation 32 Journal of Multivariate Analysis 31 Multidimensional Systems and Signal Processing 31 SIAM Journal on Optimization 30 Computer Methods in Applied Mechanics and Engineering 30 SIAM Journal on Numerical Analysis 30 SIAM Journal on Matrix Analysis and Applications 30 Signal Processing 30 International Journal of Computer Mathematics 30 International Journal of Computer Vision 28 Mathematical Methods in the Applied Sciences 27 Monatshefte für Mathematik 26 Statistics & Probability Letters 25 Advances in Mathematics 25 Communications in Statistics. Theory and Methods 24 Journal of Statistical Planning and Inference 23 Pattern Recognition 23 Applied Mathematics. Series B (English Edition) 23 Integral Transforms and Special Functions 22 Linear and Multilinear Algebra 22 BIT 22 Information Sciences 22 Journal of Function Spaces 21 Communications on Pure and Applied Mathematics 21 Chaos, Solitons and Fractals 21 Applied Mathematical Modelling 21 SIAM Journal on Mathematical Analysis 21 Mathematical Programming. Series A. Series B 21 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 21 Information and Inference 20 Physica D 20 Applied Mathematics Letters 20 Computational Statistics and Data Analysis 19 Mathematics and Computers in Simulation 19 Neural Networks 19 Computational Optimization and Applications 19 Journal of Mathematical Sciences (New York) 19 Bernoulli 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Banach Journal of Mathematical Analysis 19 Sampling Theory, Signal Processing, and Data Analysis 18 Mathematische Nachrichten 18 Journal of Integral Equations and Applications 18 Chaos 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Asian-European Journal of Mathematics 17 GEM - International Journal on Geomathematics 17 SIAM/ASA Journal on Uncertainty Quantification 16 SIAM Review 16 EURASIP Journal on Advances in Signal Processing ...and 600 more Journals
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### Cited in 62 Fields

 3,576 Harmonic analysis on Euclidean spaces (42-XX) 2,876 Numerical analysis (65-XX) 1,936 Information and communication theory, circuits (94-XX) 1,096 Statistics (62-XX) 1,030 Computer science (68-XX) 907 Approximations and expansions (41-XX) 862 Functional analysis (46-XX) 716 Partial differential equations (35-XX) 589 Operations research, mathematical programming (90-XX) 546 Operator theory (47-XX) 424 Probability theory and stochastic processes (60-XX) 372 Linear and multilinear algebra; matrix theory (15-XX) 245 Abstract harmonic analysis (43-XX) 238 Biology and other natural sciences (92-XX) 211 Calculus of variations and optimal control; optimization (49-XX) 201 Fluid mechanics (76-XX) 186 Combinatorics (05-XX) 167 Integral transforms, operational calculus (44-XX) 163 Functions of a complex variable (30-XX) 151 Special functions (33-XX) 150 Measure and integration (28-XX) 141 Integral equations (45-XX) 139 Real functions (26-XX) 138 Dynamical systems and ergodic theory (37-XX) 135 Quantum theory (81-XX) 119 Global analysis, analysis on manifolds (58-XX) 113 Optics, electromagnetic theory (78-XX) 111 Systems theory; control (93-XX) 109 Mechanics of deformable solids (74-XX) 108 Number theory (11-XX) 101 Differential geometry (53-XX) 97 Ordinary differential equations (34-XX) 96 Topological groups, Lie groups (22-XX) 77 Statistical mechanics, structure of matter (82-XX) 72 Convex and discrete geometry (52-XX) 71 Geophysics (86-XX) 57 Potential theory (31-XX) 53 Group theory and generalizations (20-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Difference and functional equations (39-XX) 29 Algebraic geometry (14-XX) 27 Several complex variables and analytic spaces (32-XX) 27 Geometry (51-XX) 24 Manifolds and cell complexes (57-XX) 23 General topology (54-XX) 22 Mechanics of particles and systems (70-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Astronomy and astrophysics (85-XX) 18 General and overarching topics; collections (00-XX) 16 Sequences, series, summability (40-XX) 14 Commutative algebra (13-XX) 11 Algebraic topology (55-XX) 11 Relativity and gravitational theory (83-XX) 10 Field theory and polynomials (12-XX) 9 Mathematics education (97-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 4 Mathematical logic and foundations (03-XX) 3 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX)