×

Mallat, Stephane Georges

Author ID: mallat.stephane-g Recent zbMATH articles by "Mallat, Stephane Georges"
Published as: Mallat, Stéphane; Mallat, Stephane; Mallat, S.; Mallat, Stephane G.; Mallat, Stéphane G.
Homepage: https://www.di.ens.fr/~mallat/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 3,800 times in 3,213 Documents Cited by Year
A theory for multiresolution signal decomposition: The wavelet representation. Zbl 0709.94650
Mallat, Stephane G.
745
1989
A wavelet tour of signal processing. 2nd ed. Zbl 0998.94510
Mallat, Stéphane
459
1999
Matching pursuits with time-frequency dictionaries. Zbl 0842.94004
Mallat, Stéphane G.; Zhang, Zhifeng
427
1993
Multiresolution approximations and wavelet orthonormal bases of \(L^ 2(\mathbb R)\). Zbl 0686.42018
Mallat, Stephane G.
423
1989
A wavelet tour of signal processing. Zbl 0937.94001
Mallat, Stéphane
381
1998
A wavelet tour of signal processing. The sparse way. 3rd ed. Zbl 1170.94003
Mallat, Stéphane
312
2009
Singularity detection and processing with wavelets. Zbl 0745.93073
Mallat, Stephane; Hwang, Wen Liang
171
1992
Applied mathematics meets signal processing. Zbl 0945.68537
Mallat, Stéphane
120
1999
Adaptive greedy approximations. Zbl 0885.41006
Davis, G.; Mallat, S.; Avellaneda, M.
118
1997
Phase recovery, MaxCut and complex semidefinite programming. Zbl 1329.94018
Waldspurger, Irène; d’Aspremont, Alexandre; Mallat, Stéphane
90
2015
Applied mathematics meets signal processing. Zbl 1125.94306
Mallat, Stéphane
73
1998
Group invariant scattering. Zbl 1282.47009
Mallat, Stéphane
59
2012
Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. Zbl 1373.94471
Yu, Guoshen; Sapiro, Guillermo; Mallat, Stéphane
48
2012
Adaptive covariance estimation of locally stationary processes. Zbl 0949.62082
Mallat, Stéphane; Papanicolaou, George; Zhang, Zhifeng
37
1998
A wavelet based space-time adaptive numerical method for partial differential equations. Zbl 0768.65062
Bacry, E.; Mallat, S.; Papanicolaou, G.
34
1992
Phase retrieval for the Cauchy wavelet transform. Zbl 1361.94025
Mallat, Stéphane; Waldspurger, Irène
28
2015
Bandelet image approximation and compression. Zbl 1091.94006
Le Pennec, E.; Mallat, S.
26
2005
Thresholding estimators for linear inverse problems and deconvolutions. Zbl 1102.62318
Kalifa, Jérôme; Mallat, Stéphane
23
2003
A wavelet tour of signal processing. (Une exploration des signaux en ondelettes.) Zbl 1196.94006
Mallat, Stéphane
20
2000
Wavelets and their applications. Zbl 0782.00087
14
1992
Super-resolution with sparse mixing estimators. Zbl 1371.94252
Mallat, Stéphane; Yu, Guoshen
13
2010
Applied mathematics meets signal processing. Zbl 1007.94526
Mallat, Stéphane
13
2001
Adaptive time-frequency approximations with matching pursuits. Zbl 0854.94005
Davis, Geoffrey; Mallat, Stéphane; Zhang, Zhifeng
12
1994
Estimating deformations of stationary processes. Zbl 1052.62086
Clerc, Maureen; Mallat, Stéphane
12
2003
Characterization of self-similar multifractals with wavelet maxima. Zbl 0812.28005
Hwang, Wen-Liang; Mallat, Stephane
10
1994
Deep scattering spectrum. Zbl 1394.94040
Andén, Joakim; Mallat, Stéphane
10
2014
Wavelet scattering regression of quantum chemical energies. Zbl 1365.42030
Hirn, Matthew; Mallat, Stéphane; Poilvert, Nicolas
10
2017
Deep Haar scattering networks. Zbl 1380.68331
Cheng, Xiuyuan; Chen, Xu; Mallat, Stéphane
9
2016
Geometrical grouplets. Zbl 1183.68693
Mallat, Stéphane
9
2009
Wavelet foveation. Zbl 0968.68186
Chang, Ee-Chien; Mallat, Stéphane; Yap, Chee
9
2000
Intermittent process analysis with scattering moments. Zbl 1308.62168
Bruna, Joan; Mallat, Stéphane; Bacry, Emmanuel; Muzy, Jean-François
8
2015
Wavelet transform maxima and multiscale edges. Zbl 0804.68158
Mallat, Stephane; Zhong, Sifen
8
1992
On denoising and best signal representation. Zbl 0958.94008
Krim, Hamid; Tucker, Dewey; Mallat, Stéphane; Donoho, David
7
1999
Orthogonal bandelet bases for geometric images approximation. Zbl 1255.94026
Peyré, Gabriel; Mallat, Stéphane
6
2008
Multiscale sparse microcanonical models. Zbl 1426.62111
Bruna, Joan; Mallat, Stéphane
6
2018
Foveal detection and approximation for singularities. Zbl 1042.42034
Mallat, Stéphane
6
2003
Audio denoising by time-frequency block thresholding. Zbl 1390.94498
Yu, Guoshen; Mallat, Stéphane; Bacry, Emmanuel
5
2008
Manifold learning for latent variable inference in dynamical systems. Zbl 1394.94015
Talmon, Ronen; Mallat, Stéphane; Zaveri, Hitten; Coifman, Ronald R.
5
2015
High resolution pursuit for feature extraction. Zbl 0935.94001
Jaggi, Seema; Karl, William C.; Mallat, Stéphane; Willsky, Alan S.
5
1998
A review of bandlet methods for geometrical image representation. Zbl 1128.94002
Mallat, Stéphane; Peyré, Gabriel
4
2007
Locally stationary covariance and signal estimation with macrotiles. Zbl 1369.94132
Donoho, David L.; Mallat, Stéphane; von Sachs, Rainer; Samuelides, Yann
4
2003
Matching pursuit: Adaptive representations of images and sounds. Zbl 0864.68114
Bergeaud, François; Mallat, Stéphane
4
1996
Maximum entropy models from phase harmonic covariances. Zbl 1467.94016
Zhang, Sixin; Mallat, Stéphane
4
2021
Phase harmonic correlations and convolutional neural networks. Zbl 1470.94051
Mallat, Stéphane; Zhang, Sixin; Rochette, Gaspar
3
2020
Wavelet maxima representation. Zbl 0804.68157
Mallat, Stephane; Zhong, Sifen
2
1992
A wavelet space-time adaptive scheme for partial differential equations. Zbl 0880.65078
Bacry, Emmanuel; Mallat, Stéphane; Papanicolaou, George
2
1993
Shape from texture and shading with wavelets. Zbl 0917.68213
Clerc, M.; Mallat, S.
2
1999
Second generation image coding and wavelet transform. Zbl 0864.68115
Froment, Jacques; Mallat, Stéphane
1
1996
Nonlinear adaptive time-frequency decomposition. Zbl 0878.94011
Mallat, Stephane; Zhang, Zhifeng
1
1993
Minimax restoration and deconvolution. Zbl 0940.62090
Kalifa, Jérôme; Mallat, Stéphane
1
1999
Scattered data interpolation with wavelet trees. Zbl 1037.65014
Bernard, Christophe P.; Mallat, Stéphane G.; Slotine, Jean-Jacques
1
2003
Maximum entropy models from phase harmonic covariances. Zbl 1467.94016
Zhang, Sixin; Mallat, Stéphane
4
2021
Phase harmonic correlations and convolutional neural networks. Zbl 1470.94051
Mallat, Stéphane; Zhang, Sixin; Rochette, Gaspar
3
2020
Multiscale sparse microcanonical models. Zbl 1426.62111
Bruna, Joan; Mallat, Stéphane
6
2018
Wavelet scattering regression of quantum chemical energies. Zbl 1365.42030
Hirn, Matthew; Mallat, Stéphane; Poilvert, Nicolas
10
2017
Deep Haar scattering networks. Zbl 1380.68331
Cheng, Xiuyuan; Chen, Xu; Mallat, Stéphane
9
2016
Phase recovery, MaxCut and complex semidefinite programming. Zbl 1329.94018
Waldspurger, Irène; d’Aspremont, Alexandre; Mallat, Stéphane
90
2015
Phase retrieval for the Cauchy wavelet transform. Zbl 1361.94025
Mallat, Stéphane; Waldspurger, Irène
28
2015
Intermittent process analysis with scattering moments. Zbl 1308.62168
Bruna, Joan; Mallat, Stéphane; Bacry, Emmanuel; Muzy, Jean-François
8
2015
Manifold learning for latent variable inference in dynamical systems. Zbl 1394.94015
Talmon, Ronen; Mallat, Stéphane; Zaveri, Hitten; Coifman, Ronald R.
5
2015
Deep scattering spectrum. Zbl 1394.94040
Andén, Joakim; Mallat, Stéphane
10
2014
Group invariant scattering. Zbl 1282.47009
Mallat, Stéphane
59
2012
Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. Zbl 1373.94471
Yu, Guoshen; Sapiro, Guillermo; Mallat, Stéphane
48
2012
Super-resolution with sparse mixing estimators. Zbl 1371.94252
Mallat, Stéphane; Yu, Guoshen
13
2010
A wavelet tour of signal processing. The sparse way. 3rd ed. Zbl 1170.94003
Mallat, Stéphane
312
2009
Geometrical grouplets. Zbl 1183.68693
Mallat, Stéphane
9
2009
Orthogonal bandelet bases for geometric images approximation. Zbl 1255.94026
Peyré, Gabriel; Mallat, Stéphane
6
2008
Audio denoising by time-frequency block thresholding. Zbl 1390.94498
Yu, Guoshen; Mallat, Stéphane; Bacry, Emmanuel
5
2008
A review of bandlet methods for geometrical image representation. Zbl 1128.94002
Mallat, Stéphane; Peyré, Gabriel
4
2007
Bandelet image approximation and compression. Zbl 1091.94006
Le Pennec, E.; Mallat, S.
26
2005
Thresholding estimators for linear inverse problems and deconvolutions. Zbl 1102.62318
Kalifa, Jérôme; Mallat, Stéphane
23
2003
Estimating deformations of stationary processes. Zbl 1052.62086
Clerc, Maureen; Mallat, Stéphane
12
2003
Foveal detection and approximation for singularities. Zbl 1042.42034
Mallat, Stéphane
6
2003
Locally stationary covariance and signal estimation with macrotiles. Zbl 1369.94132
Donoho, David L.; Mallat, Stéphane; von Sachs, Rainer; Samuelides, Yann
4
2003
Scattered data interpolation with wavelet trees. Zbl 1037.65014
Bernard, Christophe P.; Mallat, Stéphane G.; Slotine, Jean-Jacques
1
2003
Applied mathematics meets signal processing. Zbl 1007.94526
Mallat, Stéphane
13
2001
A wavelet tour of signal processing. (Une exploration des signaux en ondelettes.) Zbl 1196.94006
Mallat, Stéphane
20
2000
Wavelet foveation. Zbl 0968.68186
Chang, Ee-Chien; Mallat, Stéphane; Yap, Chee
9
2000
A wavelet tour of signal processing. 2nd ed. Zbl 0998.94510
Mallat, Stéphane
459
1999
Applied mathematics meets signal processing. Zbl 0945.68537
Mallat, Stéphane
120
1999
On denoising and best signal representation. Zbl 0958.94008
Krim, Hamid; Tucker, Dewey; Mallat, Stéphane; Donoho, David
7
1999
Shape from texture and shading with wavelets. Zbl 0917.68213
Clerc, M.; Mallat, S.
2
1999
Minimax restoration and deconvolution. Zbl 0940.62090
Kalifa, Jérôme; Mallat, Stéphane
1
1999
A wavelet tour of signal processing. Zbl 0937.94001
Mallat, Stéphane
381
1998
Applied mathematics meets signal processing. Zbl 1125.94306
Mallat, Stéphane
73
1998
Adaptive covariance estimation of locally stationary processes. Zbl 0949.62082
Mallat, Stéphane; Papanicolaou, George; Zhang, Zhifeng
37
1998
High resolution pursuit for feature extraction. Zbl 0935.94001
Jaggi, Seema; Karl, William C.; Mallat, Stéphane; Willsky, Alan S.
5
1998
Adaptive greedy approximations. Zbl 0885.41006
Davis, G.; Mallat, S.; Avellaneda, M.
118
1997
Matching pursuit: Adaptive representations of images and sounds. Zbl 0864.68114
Bergeaud, François; Mallat, Stéphane
4
1996
Second generation image coding and wavelet transform. Zbl 0864.68115
Froment, Jacques; Mallat, Stéphane
1
1996
Adaptive time-frequency approximations with matching pursuits. Zbl 0854.94005
Davis, Geoffrey; Mallat, Stéphane; Zhang, Zhifeng
12
1994
Characterization of self-similar multifractals with wavelet maxima. Zbl 0812.28005
Hwang, Wen-Liang; Mallat, Stephane
10
1994
Matching pursuits with time-frequency dictionaries. Zbl 0842.94004
Mallat, Stéphane G.; Zhang, Zhifeng
427
1993
A wavelet space-time adaptive scheme for partial differential equations. Zbl 0880.65078
Bacry, Emmanuel; Mallat, Stéphane; Papanicolaou, George
2
1993
Nonlinear adaptive time-frequency decomposition. Zbl 0878.94011
Mallat, Stephane; Zhang, Zhifeng
1
1993
Singularity detection and processing with wavelets. Zbl 0745.93073
Mallat, Stephane; Hwang, Wen Liang
171
1992
A wavelet based space-time adaptive numerical method for partial differential equations. Zbl 0768.65062
Bacry, E.; Mallat, S.; Papanicolaou, G.
34
1992
Wavelets and their applications. Zbl 0782.00087
14
1992
Wavelet transform maxima and multiscale edges. Zbl 0804.68158
Mallat, Stephane; Zhong, Sifen
8
1992
Wavelet maxima representation. Zbl 0804.68157
Mallat, Stephane; Zhong, Sifen
2
1992
A theory for multiresolution signal decomposition: The wavelet representation. Zbl 0709.94650
Mallat, Stephane G.
745
1989
Multiresolution approximations and wavelet orthonormal bases of \(L^ 2(\mathbb R)\). Zbl 0686.42018
Mallat, Stephane G.
423
1989
all top 5

Cited by 5,528 Authors

26 Shen, Zuowei
24 Dem’yanovich, Yuriĭ Kazimirovich
22 Qian, Tao
18 Mallat, Stephane Georges
17 Shestakov, O. V.
16 Kutyniok, Gitta
16 Sapatinas, Theofanis
15 Chesneau, Christophe
15 Guo, Xunxiang
14 Antoniadis, Anestis
13 Ashino, Ryuichi
13 Li, Song
13 Steidl, Gabriele
13 Sun, Qiyu
12 Abry, Patrice
12 Cai, Jian-Feng
12 Fadili, Jalal M.
12 Jørgensen, Palle E. T.
12 Schneider, Kai
12 Shah, Firdous Ahmad
12 Toda, Hirosi
12 Vidakovic, Brani
12 Wang, Yang
12 Zhang, Zhong
11 Aldroubi, Akram
11 Ben Slimane, Mourad
11 Billings, Stephen A.
11 Elad, Michael
11 Pensky, Marianna
10 Amat, Sergio P.
10 Daubechies, Ingrid Chantal
10 Dong, Bin
10 Moncayo, María
10 Peyré, Gabriel
10 Shi, Zuoqiang
10 Tang, Yuanyan
10 Temlyakov, Vladimir Nikolaevich
10 Torrésani, Bruno S.
9 Baggett, Lawrence Wasson
9 Cabrelli, Carlos A.
9 Candès, Emmanuel J.
9 Fornasier, Massimo
9 Han, Deguang
9 Jaffard, Stéphane
9 Labate, Demetrio
9 Lee, Seng Luan
9 Nicolay, Samuel
9 Plonka, Gerlind
9 Starck, Jean-Luc
8 Arneodo, Alain
8 Averbuch, Amir Z.
8 Bacry, Emmanuel
8 Capobianco, Enrico
8 Didier, Gustavo
8 Donoho, David Leigh
8 Gribonval, Rémi
8 Hansen, Anders C.
8 Hou, Thomas Yizhao
8 Imamura, Takashi
8 Osher, Stanley Joel
8 San Antolín, Angel
8 Sauer, Tomas
8 Taqqu, Murad S.
8 Vaillancourt, Rémi
8 Wei, Hualiang
8 Ying, Lexing
8 Zhang, Zhihua
8 Zheludev, Valery A.
7 Ageev, Aleksandr Leonidovich
7 Antonova, Tat’yana Vladimirovna
7 Bahri, Mawardi
7 Cattani, Carlo
7 Chui, Charles Kam-tai
7 Coifman, Ronald Raphaël
7 Czaja, Wojciech
7 De Feis, Italia
7 Delon, Julie
7 Giryes, Raja
7 Grohs, Philipp
7 Jiao, Licheng
7 Khanna, Nikhil
7 Kudryavtsev, Andrey A.
7 Loubes, Jean-Michel
7 Malgouyres, François
7 Michel, Volker
7 Muzy, Jean-François
7 Nason, Guy P.
7 Pesquet, Jean-Christophe
7 Vashisht, Lalit Kumar
7 Vasilyev, Oleg V.
7 Wang, Jianzhong
6 Alaifari, Rima
6 Amato, Umberto
6 Aràndiga, Francesc
6 Camussi, Roberto
6 Chaubey, Yogendra Prasad
6 De Canditiis, Daniela
6 Demanet, Laurent
6 Doosti, Hassan
6 Easley, Glenn R.
...and 5,428 more Authors
all top 5

Cited in 520 Serials

204 International Journal of Wavelets, Multiresolution and Information Processing
186 Applied and Computational Harmonic Analysis
69 Pattern Recognition
69 Journal of Mathematical Imaging and Vision
64 The Journal of Fourier Analysis and Applications
63 SIAM Journal on Imaging Sciences
62 Journal of Computational Physics
56 Applied Mathematics and Computation
55 Journal of Computational and Applied Mathematics
45 The Annals of Statistics
37 Journal of Mathematical Sciences (New York)
36 Signal Processing
34 Circuits, Systems, and Signal Processing
34 Advances in Computational Mathematics
34 Mathematical Problems in Engineering
32 Computational Statistics and Data Analysis
29 Journal of Mathematical Analysis and Applications
27 Journal of Scientific Computing
26 Journal of Approximation Theory
25 Computers & Mathematics with Applications
24 Journal of the Franklin Institute
24 Neural Computation
23 Inverse Problems
22 Physica A
22 Multidimensional Systems and Signal Processing
20 Proceedings of the American Mathematical Society
20 International Journal of Computer Vision
18 Computer Methods in Applied Mechanics and Engineering
18 Physica D
17 Information Sciences
17 Journal of Statistical Computation and Simulation
17 Journal of Machine Learning Research (JMLR)
16 Journal of Statistical Planning and Inference
16 Mathematics and Computers in Simulation
15 Mathematics of Computation
15 Moscow University Computational Mathematics and Cybernetics
15 Numerical Algorithms
15 Communications in Statistics. Simulation and Computation
15 Linear Algebra and its Applications
15 SIAM Journal on Optimization
15 SIAM Journal on Scientific Computing
15 EURASIP Journal on Advances in Signal Processing
14 Journal of Fluid Mechanics
14 Journal of Functional Analysis
14 Constructive Approximation
14 Mathematical and Computer Modelling
14 International Journal of Computer Mathematics
14 Inverse Problems and Imaging
14 Electronic Journal of Statistics
14 Mathematical Geosciences
13 Chaos, Solitons and Fractals
13 Applied Numerical Mathematics
13 Neural Networks
13 Communications in Statistics. Theory and Methods
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Signal, Image and Video Processing
12 Journal of Multivariate Analysis
12 Machine Learning
12 Applied Mathematical Modelling
12 Journal of the Royal Statistical Society. Series B. Statistical Methodology
12 Computational & Mathematical Methods in Medicine
11 Computers and Fluids
11 Acta Applicandae Mathematicae
11 Mathematical Programming. Series A. Series B
11 Journal of Nonparametric Statistics
11 Chaos
11 Journal of Applied Statistics
11 Foundations of Computational Mathematics
11 Science China. Mathematics
10 Statistics & Probability Letters
10 Bernoulli
10 Inverse Problems in Science and Engineering
9 Numerical Functional Analysis and Optimization
9 Numerische Mathematik
9 Journal of Time Series Analysis
9 Journal of Complexity
9 Applied Mathematics. Series B (English Edition)
9 Fractals
9 Acta Mathematica Sinica. English Series
9 Computational Geosciences
9 Quantitative Finance
9 Multiscale Modeling & Simulation
9 Complex Analysis and Operator Theory
9 Statistics and Computing
8 Applicable Analysis
8 Transactions of the American Mathematical Society
8 International Journal of Adaptive Control and Signal Processing
8 Journal of Global Optimization
8 SIAM Journal on Mathematical Analysis
8 Physics of Fluids
7 Computer Physics Communications
7 Communications on Pure and Applied Mathematics
7 International Journal of Systems Science
7 Journal of Mathematical Physics
7 Mathematical Methods in the Applied Sciences
7 International Journal for Numerical Methods in Engineering
7 Journal of Econometrics
7 Mathematische Nachrichten
7 Meccanica
7 Results in Mathematics
...and 420 more Serials
all top 5

Cited in 59 Fields

1,135 Numerical analysis (65-XX)
1,049 Harmonic analysis on Euclidean spaces (42-XX)
953 Information and communication theory, circuits (94-XX)
675 Statistics (62-XX)
575 Computer science (68-XX)
216 Operations research, mathematical programming (90-XX)
195 Biology and other natural sciences (92-XX)
192 Approximations and expansions (41-XX)
166 Functional analysis (46-XX)
145 Partial differential equations (35-XX)
139 Probability theory and stochastic processes (60-XX)
109 Fluid mechanics (76-XX)
107 Systems theory; control (93-XX)
90 Operator theory (47-XX)
85 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
75 Calculus of variations and optimal control; optimization (49-XX)
72 Mechanics of deformable solids (74-XX)
65 Geophysics (86-XX)
62 Abstract harmonic analysis (43-XX)
49 Dynamical systems and ergodic theory (37-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
42 Measure and integration (28-XX)
39 Ordinary differential equations (34-XX)
38 Quantum theory (81-XX)
35 Integral transforms, operational calculus (44-XX)
33 Optics, electromagnetic theory (78-XX)
32 Functions of a complex variable (30-XX)
31 Real functions (26-XX)
29 Integral equations (45-XX)
24 Combinatorics (05-XX)
24 Statistical mechanics, structure of matter (82-XX)
19 Special functions (33-XX)
18 Topological groups, Lie groups (22-XX)
16 Number theory (11-XX)
15 Mechanics of particles and systems (70-XX)
10 Group theory and generalizations (20-XX)
10 Astronomy and astrophysics (85-XX)
9 Differential geometry (53-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Convex and discrete geometry (52-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
6 Classical thermodynamics, heat transfer (80-XX)
4 Potential theory (31-XX)
3 Mathematical logic and foundations (03-XX)
3 Algebraic geometry (14-XX)
3 Associative rings and algebras (16-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Geometry (51-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.