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Daubechies, Ingrid Chantal

Author ID: daubechies.ingrid-c Recent zbMATH articles by "Daubechies, Ingrid Chantal"
Published as: Daubechies, Ingrid; Daubechies, I.; Daubechies, Ingrid C.
Homepage: https://math.duke.edu/people/ingrid-daubechies
External Links: Women in Mathematics · MacTutor · MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Awards: Wolf Prize (2023)
all top 5

Co-Authors

26 single-authored
14 Cohen, Albert
8 DeVore, Ronald A.
7 Sweldens, Wim
5 Klauder, John Rider
5 Lagarias, Jeffrey C.
5 Lipman, Yaron
5 Loris, Ignace
5 Lu, Jianfeng
4 Cornelis, Bruno
4 De Mol, Christine
4 Kutyniok, Gitta
4 Rauhut, Holger
4 Rudin, Cynthia
4 Schapire, Robert E.
4 Strohmer, Thomas
4 Yin, Rujie
3 Calderbank, Arthur Robert
3 Dunson, David Brian
3 Fornasier, Massimo
3 Gao, Tingran
3 Güntürk, Cemalettin Sinan
3 Guskov, Igor
3 Han, Bin
3 Kovalsky, Shahar Z.
3 Wu, Hau-Tieng
3 Yang, Haizhao
2 Aerts, Diederik Emiel
2 Alaifari, Rima
2 Anthoine, Sandrine
2 Balan, Radu V.
2 Boyer, Doug M.
2 Dahmen, Wolfgang A.
2 Defrise, Michel
2 Gilbert, Anna C.
2 Grohs, Philipp
2 Huang, Ying
2 Jaffard, Stéphane
2 Journé, Jean-Lin
2 Lieb, Elliott Hershel
2 Maes, Stéphane H.
2 Meyer, Yves F.
2 Nolet, Guust
2 Ocon, Noelle
2 Paul, Thierry
2 Ron, Amos
2 Runborg, Olof
2 Teschke, Gerd
2 Vaishampayan, Vinay Anant
2 Vial, Pierre
2 Voronin, Sergeĭ Mikhaĭlovich
2 Xu, Jieren
2 Yılmaz, Özgür
2 Zhu, Wei
2 Zou, Jing
1 Absil, Pierre-Antoine
1 Adem, Alejandro
1 Aigerman, Noam
1 Al-Aifari, Reema
1 Ardila, Federico
1 Benedetto, John Joseph
1 Bertin, Nancy
1 Beylkin, Gregory
1 Bilen, Çağdaş
1 Bonato, Anthony
1 Boumal, Nicolas
1 Bourguignon, Jean-Pierre
1 Boursier, Yannick
1 Brodie, Joshua
1 Cahill, Jameson
1 Cambareri, Valerio
1 Casazza, Peter George
1 Chabiron, Olivier
1 Chainais, Pierre
1 Charléty, Jean
1 Chayes, Jennifer Tour
1 Cheng, Cheng
1 Chudnovsky, Maria
1 Chung, Fan
1 Clemens, C. Herbert
1 Coifman, Ronald Raphaël
1 Cvetković, Zoran
1 Daňková, Marie
1 Daudet, Laurent
1 De Vleeschouwer, Christophe
1 Delbaen, Freddy
1 Deligiannis, Nikos
1 Determe, Jean-François
1 Dobigeon, Nicolas
1 Donoho, David Leigh
1 Dooms, Ann
1 Douma, H.
1 Drakakis, Konstantinos
1 Drémeau, Angélique
1 Duval, Vincent
1 Dym, Nadav
1 Fadili, Jalal M.
1 Fawzi, Alhussein
1 Feauveau, Jean-Christophe
1 Flandrin, Patrick
1 Fodor, Gábor
...and 111 more Co-Authors
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Serials

11 IEEE Transactions on Information Theory
11 Applied and Computational Harmonic Analysis
8 SIAM Journal on Mathematical Analysis
7 Constructive Approximation
7 The Journal of Fourier Analysis and Applications
6 Communications on Pure and Applied Mathematics
5 Journal of Mathematical Physics
4 Letters in Mathematical Physics
4 Oberwolfach Reports
3 Communications in Mathematical Physics
3 Revista Matemática Iberoamericana
3 SIAM Journal on Mathematics of Data Science
2 Inverse Problems
2 Journal of Computational Physics
2 Linear Algebra and its Applications
2 Notices of the American Mathematical Society
2 IEEE Transactions on Image Processing
2 SIAM Journal on Imaging Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 The Annals of Statistics
1 Duke Mathematical Journal
1 Traitement du Signal
1 Applied Mathematics Letters
1 IEEE Transactions on Signal Processing
1 Proceedings of the National Academy of Sciences of the United States of America
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Physical Review Letters
1 Foundations of Computational Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Multiscale Modeling & Simulation
1 Internet Mathematics
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Proceedings of Symposia in Applied Mathematics
1 Inverse Problems and Imaging
1 Advances in Adaptive Data Analysis
1 Information and Inference
1 Transactions of the American Mathematical Society. Series B
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Fields

71 Harmonic analysis on Euclidean spaces (42-XX)
45 Information and communication theory, circuits (94-XX)
36 Numerical analysis (65-XX)
20 Computer science (68-XX)
19 Functional analysis (46-XX)
16 Quantum theory (81-XX)
12 General and overarching topics; collections (00-XX)
12 Approximations and expansions (41-XX)
9 Operator theory (47-XX)
8 Probability theory and stochastic processes (60-XX)
7 History and biography (01-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Statistics (62-XX)
4 Real functions (26-XX)
4 Partial differential equations (35-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Difference and functional equations (39-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Differential geometry (53-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 9,313 times in 6,681 Documents Cited by Year
Ten lectures on wavelets. Zbl 0776.42018
Daubechies, Ingrid
1992
Orthonormal bases of compactly supported wavelets. Zbl 0644.42026
Daubechies, Ingrid
801
1988
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
611
2004
Painless nonorthogonal expansions. Zbl 0608.46014
Daubechies, Ingrid; Grossmann, A.; Meyer, Y.
519
1986
The wavelet transform, time-frequency localization and signal analysis. Zbl 0738.94004
Daubechies, Ingrid
437
1990
Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020
Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C.
415
1992
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
Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013
Daubechies, Ingrid; Lagarias, Jeffrey C.
168
1992
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
166
2010
Time-frequency localization operators: A geometric phase space approach. Zbl 0672.42007
Daubechies, Ingrid
165
1988
Sets of matrices all infinite products of which converge. Zbl 0746.15015
Daubechies, Ingrid; Lagarias, Jeffrey C.
147
1992
Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018
Daubechies, Ingrid; Lagarias, Jeffrey C.
127
1991
Sparse and stable Markowitz portfolios. Zbl 1203.91271
Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace
115
2009
Factoring wavelet transforms into lifting steps. Zbl 0913.42027
Daubechies, Ingrid; Sweldens, Wim
86
1998
Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018
Daubechies, Ingrid; Landau, H. J.; Landau, Zeph
81
1995
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
81
2011
Non-separable bidimensional wavelet bases. Zbl 0792.42021
Cohen, Albert; Daubechies, Ingrid
70
1993
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
67
2004
Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order. Zbl 1058.94004
Daubechies, Ingrid; DeVore, Ronald
56
2003
Time-frequency localisation operators - a geometric phase space approach: II. The use of dilations. Zbl 0701.42004
Daubechies, Ingrid; Paul, Thierry
55
1988
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
54
2003
A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Zbl 0784.42022
Cohen, Albert; Daubechies, Ingrid
46
1992
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
46
2001
A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
45
1991
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
45
1997
An uncertainty principle for fermions with generalized kinetic energy. Zbl 0946.81521
Daubechies, Ingrid
45
1983
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
42
2005
Frames in the Bargmann Hilbert space of entire functions. Zbl 0632.30049
Daubechies, Ingrid; Grossman, A.
42
1988
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
42
1998
A new technique to estimate the regularity of refinable functions. Zbl 0879.65102
Cohen, Albert; Daubechies, Ingrid
42
1996
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
39
2007
Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015
Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid
38
2016
Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062
Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace
37
2008
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
34
1998
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
33
1999
Orthonormal bases of compactly supported wavelets. II: Variations on a theme. Zbl 0792.42018
Daubechies, Ingrid
31
1993
One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522
Daubechies, Ingrid; Lieb, Elliott H.
30
1983
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
30
2004
Multiresolution analysis, wavelets and fast algorithms on an interval. Zbl 0768.42015
Cohen, Albert; Daubechies, Ingrid; Jawerth, Bjorn; Vial, Pierre
29
1993
Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
29
2022
A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models. Zbl 0848.92003
Daubechies, Ingrid; Maes, Stéphane
27
1996
On the stability of arbitrary biorthogonal wavelet packets. Zbl 0792.42020
Cohen, A.; Daubechies, I.
26
1993
Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024
Daubechies, Ingrid; Lagarias, Jeffrey C.
26
2001
Quantum-mechanical path integrals with Wiener measure for all polynomials Hamiltonians. II. Zbl 0979.81517
Daubechies, Ingrid; Klauder, John R.
25
1985
On the thermodynamic formalism for multifractal functions. Zbl 0843.58091
Daubechies, Ingrid; Lagarias, Jeffrey C.
25
1994
The canonical dual frame of a wavelet frame. Zbl 1013.42023
Daubechies, Ingrid; Han, Bin
24
2002
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
24
2019
On the distributions corresponding to bounded operators in the Weyl quantization. Zbl 0451.47059
Daubechies, Ingrid
22
1980
On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005
Unser, Michael; Daubechies, Ingrid
22
1997
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
21
2012
ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform. Zbl 1353.42031
Daubechies, Ingrid; Wang, Yi; Wu, Hau-tieng
20
2016
On the importance of combining wavelet-based nonlinear approximation with coding strategies. Zbl 1061.94004
Cohen, Albert; Daubechies, Ingrid; Guleryuz, Onur G.
20
2002
Two theorems on lattice expansions. Zbl 0764.42018
Daubechies, I.; Janssen, A. J. E. M.
19
1993
Wiener measures for path integrals with affine kinematic variables. Zbl 0615.58008
Daubechies, Ingrid; Klauder, John R.; Paul, Thierry
17
1987
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
16
2006
Commutation for irregular subdivision. Zbl 0994.42019
Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim
16
2001
Continuity statements and counterintuitive examples in connection with Weyl quantization. Zbl 0541.44001
Daubechies, Ingrid
15
1983
Quantum mechanical path integrals with Wiener measures for all polynomials Hamiltonians. Zbl 0979.81518
Klauder, John R.; Daubechies, Ingrid
15
1984
Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames. Zbl 1380.42024
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Thakur, Gaurav
14
2017
Wavelets and their applications. Zbl 0782.00087
14
1992
Coherent states and projective representation of the linear canonical transformations. Zbl 0453.22012
Daubechies, Ingrid
14
1980
Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator. Zbl 0829.42021
Daubechies, Ingrid
13
1994
Wavelets on irregular point sets. Zbl 0945.42019
Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim
13
1999
Sparsity-enforcing regularisation and ISTA revisited. Zbl 1402.65048
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
12
2016
The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011
Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay
12
2000
Conformal Wasserstein distances: comparing surfaces in polynomial time. Zbl 1217.53026
Lipman, Y.; Daubechies, I.
11
2011
One or two frequencies? The synchrosqueezing answers. Zbl 1234.94018
Wu, Hau-Tieng; Flandrin, Patrick; Daubechies, Ingrid
11
2011
A characterization of subsystems in physics. Zbl 0451.03025
Aerts, Dirk; Daubechies, Ingrid
10
1979
The pros and cons of democracy. Zbl 1061.94014
Calderbank, A. R.; Daubechies, I.
10
2002
A decay theorem for refinable functions. Zbl 0851.42027
Daubechies, I.; Huang, Y.
9
1994
The Golden ratio encoder. Zbl 1366.94231
Daubechies, Ingrid; Güntürk, Sinan; Wang, Yang; Yılmaz, Özgür
8
2010
A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation. Zbl 0451.03026
Aerts, Dirk; Daubechies, Ingrid
8
1979
Fundamental papers in wavelet theory. With a foreword by Ingrid Daubechies. Introduction by John J. Benedetto. Zbl 1113.42001
8
2006
Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis. Zbl 1085.65128
Zou, Jing; Gilbert, Anna; Strauss, Martin; Daubechies, Ingrid
7
2006
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
7
2007
Ten lectures on wavelets. Transl. from the English by E. V. Mishchenko, ed. by A. P. Petukhov. (Desyat’ lektsij po vejvletam.) Zbl 1006.42030
Daubechies, Ingrid
7
2001
Recursive diffeomorphism-based regression for shape functions. Zbl 1381.65104
Xu, Jieren; Yang, Haizhao; Daubechies, Ingrid
6
2018
A tale of two bases: local-nonlocal regularization on image patches with convolution framelets. Zbl 1375.94029
Yin, Rujie; Gao, Tingran; Lu, Yue M.; Daubechies, Ingrid
6
2017
Conformal Wasserstein distance: II. Computational aspects and extensions. Zbl 1281.65034
Lipman, Y.; Puente, J.; Daubechies, I.
6
2013
Continuous Procrustes distance between two surfaces. Zbl 1276.68157
Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron
6
2013
Robust and practical analog-to-digital conversion with exponential precision. Zbl 1231.94037
Daubechies, Ingrid; Yılmaz, Özgür
6
2006
Wavelet transforms and orthonormal wavelet bases. Zbl 0802.42025
Daubechies, Ingrid
5
1993
Using Fredholm determinants to estimate the smoothness of refinable functions. Zbl 0927.42016
Daubechies, Ingrid
5
1995
The dynamics of adaboost: cyclic behavior and convergence of margins. Zbl 1222.68293
Rudin, Cynthia; Daubechies, Ingrid; Schapire, Robert E.
5
2004
Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
4
1991
Wiener measures for quantum mechanical path integrals. Zbl 0496.60066
Klauder, John R.; Daubechies, Ingrid
4
1982
Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. Zbl 0792.42019
Cohen, A.; Daubechies, Ingrid
4
1993
An iteratively reweighted least squares algorithm for sparse regularization. Zbl 1392.65074
Voronin, Sergey; Daubechies, Ingrid
4
2017
Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008
Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng
4
2021
Nonlinear regularization techniques for seismic tomography. Zbl 1182.86003
Loris, I.; Douma, H.; Nolet, G.; Daubechies, I.; Regone, C.
4
2010
How does truncation of the mask affect a refinable function? Zbl 0874.42025
Daubechies, Ingrid; Huang, Ying
4
1995
Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. Zbl 1231.94041
Cvetkovic, Zoran; Daubechies, Ingrid; Logan, Benjamin F.
4
2007
Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001
Balan, Radu; Daubechies, Ingrid
3
2003
Factoring wavelet transforms into lifting steps. Zbl 0963.65154
Daubechies, Ingrid; Sweldens, Wim
3
2000
Robust and resource efficient identification of shallow neural networks by fewest samples. Zbl 1524.68274
Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid
3
2021
Analysis of boosting algorithms using the smooth margin function. Zbl 1132.68827
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
3
2007
How smooth is the smoothest function in a given refinable space? Zbl 0901.46024
Cohen, Albert; Daubechies, Ingrid; Ron, Amos
3
1996
Gaussian process landmarking on manifolds. Zbl 1499.60114
Gao, Tingran; Kovalsky, Shahar Z.; Daubechies, Ingrid
3
2019
Adaptive Gabor transforms. Zbl 1032.94001
Daubechies, Ingrid; Planchon, Fabrice
2
2002
Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
29
2022
Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008
Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng
4
2021
Robust and resource efficient identification of shallow neural networks by fewest samples. Zbl 1524.68274
Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid
3
2021
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
24
2019
Gaussian process landmarking on manifolds. Zbl 1499.60114
Gao, Tingran; Kovalsky, Shahar Z.; Daubechies, Ingrid
3
2019
Gaussian process landmarking for three-dimensional geometric morphometrics. Zbl 1499.60113
Gao, Tingran; Kovalsky, Shahar Z.; Boyer, Doug M.; Daubechies, Ingrid
2
2019
Recursive diffeomorphism-based regression for shape functions. Zbl 1381.65104
Xu, Jieren; Yang, Haizhao; Daubechies, Ingrid
6
2018
Directional wavelet bases constructions with dyadic quincunx subsampling. Zbl 1409.42029
Yin, Rujie; Daubechies, Ingrid
1
2018
Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames. Zbl 1380.42024
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Thakur, Gaurav
14
2017
A tale of two bases: local-nonlocal regularization on image patches with convolution framelets. Zbl 1375.94029
Yin, Rujie; Gao, Tingran; Lu, Yue M.; Daubechies, Ingrid
6
2017
An iteratively reweighted least squares algorithm for sparse regularization. Zbl 1392.65074
Voronin, Sergey; Daubechies, Ingrid
4
2017
Removal of canvas patterns in digital acquisitions of paintings. Zbl 1409.94095
Cornelis, Bruno; Yang, Haizhao; Goodfriend, Alex; Ocon, Noelle; Lu, Jianfeng; Daubechies, Ingrid
2
2017
Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015
Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid
38
2016
ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform. Zbl 1353.42031
Daubechies, Ingrid; Wang, Yi; Wu, Hau-tieng
20
2016
Sparsity-enforcing regularisation and ISTA revisited. Zbl 1402.65048
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
12
2016
Removing cradle artifacts in X-ray images of paintings. Zbl 1381.94030
Yin, Rujie; Cornelis, Bruno; Fodor, Gabor; Ocon, Noelle; Dunson, David; Daubechies, Ingrid
1
2016
Adaptive data analysis: theory and applications. Theme issue. Zbl 1354.00073
1
2016
Conformal Wasserstein distance: II. Computational aspects and extensions. Zbl 1281.65034
Lipman, Y.; Puente, J.; Daubechies, I.
6
2013
Continuous Procrustes distance between two surfaces. Zbl 1276.68157
Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron
6
2013
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
21
2012
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
81
2011
Conformal Wasserstein distances: comparing surfaces in polynomial time. Zbl 1217.53026
Lipman, Y.; Daubechies, I.
11
2011
One or two frequencies? The synchrosqueezing answers. Zbl 1234.94018
Wu, Hau-Tieng; Flandrin, Patrick; Daubechies, Ingrid
11
2011
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
166
2010
The Golden ratio encoder. Zbl 1366.94231
Daubechies, Ingrid; Güntürk, Sinan; Wang, Yang; Yılmaz, Özgür
8
2010
Nonlinear regularization techniques for seismic tomography. Zbl 1182.86003
Loris, I.; Douma, H.; Nolet, G.; Daubechies, I.; Regone, C.
4
2010
Sparse and stable Markowitz portfolios. Zbl 1203.91271
Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace
115
2009
Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062
Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace
37
2008
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
39
2007
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
7
2007
Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. Zbl 1231.94041
Cvetkovic, Zoran; Daubechies, Ingrid; Logan, Benjamin F.
4
2007
Analysis of boosting algorithms using the smooth margin function. Zbl 1132.68827
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
3
2007
Precise statements of convergence for AdaBoost and arc-gv. Zbl 1141.68722
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
1
2007
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
16
2006
Fundamental papers in wavelet theory. With a foreword by Ingrid Daubechies. Introduction by John J. Benedetto. Zbl 1113.42001
8
2006
Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis. Zbl 1085.65128
Zou, Jing; Gilbert, Anna; Strauss, Martin; Daubechies, Ingrid
7
2006
Robust and practical analog-to-digital conversion with exponential precision. Zbl 1231.94037
Daubechies, Ingrid; Yılmaz, Özgür
6
2006
Two approaches for the simultaneous separation and deblurring; application to astrophysical data. (Deux méthodes de déconvolution et séparation simultanées; application à la reconstruction des amas de galaxies.) Zbl 1245.94013
Anthoine, S.; Pierpaoli, E.; Daubechies, I.
1
2006
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
42
2005
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
611
2004
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
67
2004
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
30
2004
The dynamics of adaboost: cyclic behavior and convergence of margins. Zbl 1222.68293
Rudin, Cynthia; Daubechies, Ingrid; Schapire, Robert E.
5
2004
Boosting based on a smooth margin. Zbl 1078.68724
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
2
2004
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
324
2003
Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order. Zbl 1058.94004
Daubechies, Ingrid; DeVore, Ronald
56
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
54
2003
Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001
Balan, Radu; Daubechies, Ingrid
3
2003
The canonical dual frame of a wavelet frame. Zbl 1013.42023
Daubechies, Ingrid; Han, Bin
24
2002
On the importance of combining wavelet-based nonlinear approximation with coding strategies. Zbl 1061.94004
Cohen, Albert; Daubechies, Ingrid; Guleryuz, Onur G.
20
2002
The pros and cons of democracy. Zbl 1061.94014
Calderbank, A. R.; Daubechies, I.
10
2002
Adaptive Gabor transforms. Zbl 1032.94001
Daubechies, Ingrid; Planchon, Fabrice
2
2002
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
46
2001
Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024
Daubechies, Ingrid; Lagarias, Jeffrey C.
26
2001
Commutation for irregular subdivision. Zbl 0994.42019
Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim
16
2001
Ten lectures on wavelets. Transl. from the English by E. V. Mishchenko, ed. by A. P. Petukhov. (Desyat’ lektsij po vejvletam.) Zbl 1006.42030
Daubechies, Ingrid
7
2001
The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011
Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay
12
2000
Factoring wavelet transforms into lifting steps. Zbl 0963.65154
Daubechies, Ingrid; Sweldens, Wim
3
2000
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
33
1999
Wavelets on irregular point sets. Zbl 0945.42019
Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim
13
1999
Harmonic analysis, wavelets and applications. Zbl 0931.42017
Daubechies, Ingrid C.; Gilbert, Anna C.
2
1999
Factoring wavelet transforms into lifting steps. Zbl 0913.42027
Daubechies, Ingrid; Sweldens, Wim
86
1998
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
42
1998
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
34
1998
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
45
1997
On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005
Unser, Michael; Daubechies, Ingrid
22
1997
From the original framer to present-day time-frequency and time-scale frames. Zbl 0903.42013
Daubechies, Ingrid
1
1997
A new technique to estimate the regularity of refinable functions. Zbl 0879.65102
Cohen, Albert; Daubechies, Ingrid
42
1996
A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models. Zbl 0848.92003
Daubechies, Ingrid; Maes, Stéphane
27
1996
How smooth is the smoothest function in a given refinable space? Zbl 0901.46024
Cohen, Albert; Daubechies, Ingrid; Ron, Amos
3
1996
Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018
Daubechies, Ingrid; Landau, H. J.; Landau, Zeph
81
1995
Using Fredholm determinants to estimate the smoothness of refinable functions. Zbl 0927.42016
Daubechies, Ingrid
5
1995
How does truncation of the mask affect a refinable function? Zbl 0874.42025
Daubechies, Ingrid; Huang, Ying
4
1995
Wavelets and other phase space localization methods. Zbl 0845.42012
Daubechies, Ingrid
1
1995
On the thermodynamic formalism for multifractal functions. Zbl 0843.58091
Daubechies, Ingrid; Lagarias, Jeffrey C.
25
1994
Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator. Zbl 0829.42021
Daubechies, Ingrid
13
1994
A decay theorem for refinable functions. Zbl 0851.42027
Daubechies, I.; Huang, Y.
9
1994
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
295
1993
Non-separable bidimensional wavelet bases. Zbl 0792.42021
Cohen, Albert; Daubechies, Ingrid
70
1993
Orthonormal bases of compactly supported wavelets. II: Variations on a theme. Zbl 0792.42018
Daubechies, Ingrid
31
1993
Multiresolution analysis, wavelets and fast algorithms on an interval. Zbl 0768.42015
Cohen, Albert; Daubechies, Ingrid; Jawerth, Bjorn; Vial, Pierre
29
1993
On the stability of arbitrary biorthogonal wavelet packets. Zbl 0792.42020
Cohen, A.; Daubechies, I.
26
1993
Two theorems on lattice expansions. Zbl 0764.42018
Daubechies, I.; Janssen, A. J. E. M.
19
1993
Wavelet transforms and orthonormal wavelet bases. Zbl 0802.42025
Daubechies, Ingrid
5
1993
Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. Zbl 0792.42019
Cohen, A.; Daubechies, Ingrid
4
1993
Wavelets on the interval. Zbl 0925.42017
Daubechies, Ingrid
1
1993
Different perspectives on wavelets. American Mathematical Society short course on wavelets and applications, held in San Antonio, TX (USA), January 11-12, 1993. Zbl 0782.00059
1
1993
Ten lectures on wavelets. Zbl 0776.42018
Daubechies, Ingrid
1992
Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020
Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C.
415
1992
Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013
Daubechies, Ingrid; Lagarias, Jeffrey C.
168
1992
Sets of matrices all infinite products of which converge. Zbl 0746.15015
Daubechies, Ingrid; Lagarias, Jeffrey C.
147
1992
A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Zbl 0784.42022
Cohen, Albert; Daubechies, Ingrid
46
1992
Wavelets and their applications. Zbl 0782.00087
14
1992
Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018
Daubechies, Ingrid; Lagarias, Jeffrey C.
127
1991
A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
45
1991
Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
4
1991
The wavelet transform, time-frequency localization and signal analysis. Zbl 0738.94004
Daubechies, Ingrid
437
1990
Orthogonal bases of wavelets with finite support – connection with discrete filters. Zbl 0850.42013
Daubechies, I.
2
1989
Orthonormal bases of compactly supported wavelets. Zbl 0644.42026
Daubechies, Ingrid
801
1988
Time-frequency localization operators: A geometric phase space approach. Zbl 0672.42007
Daubechies, Ingrid
165
1988
...and 15 more Documents
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Cited by 7,978 Authors

70 Shen, Zuowei
46 Li, Yunzhang
42 Daubechies, Ingrid Chantal
41 Han, Bin
39 Sun, Wenchang
38 Christensen, Ole
38 Gröchenig, Karlheinz
35 Chui, Charles Kam-tai
35 Jørgensen, Palle E. T.
35 Sun, Qiyu
34 Shah, Firdous Ahmad
31 Amat Plata, Sergio
30 Chesneau, Christophe
29 Kutyniok, Gitta
27 Dahlke, Stephan
27 Mejjaoli, Hatem
26 Han, Deguang
26 Li, Song
25 Jiang, Qingtang
24 Dong, Bin
24 Grohs, Philipp
24 Yang, Shouzhi
22 Cohen, Albert
22 Fornasier, Massimo
22 Guo, Xunxiang
22 Wu, Hau-Tieng
21 Dutkay, Dorin Ervin
21 Heil, Christopher E.
21 Kim, Hong Oh
21 Vashisht, Lalit Kumar
20 Dahmen, Wolfgang A.
20 Liandrat, Jacques
20 Plonka, Gerlind
20 Zhuang, Xiaosheng
19 Benedetto, John Joseph
19 Charina, Maria
19 Jia, Rong-Qing
19 Wang, Yang
18 Ben Slimane, Mourad
18 Chen, Dirong
18 Ji, Hui
18 Liu, Youming
18 Maass, Peter
18 San Antolín, Angel
18 Xu, Yuesheng
18 Zhou, Xingwei
17 Balazs, Peter
17 Casazza, Peter George
17 Chen, Qingjiang
17 Cordero, Elena
17 Goh, Say Song
17 Kaushik, Shiv Kumar
17 Kim, Rae Young
17 Li, Dengfeng
16 Abreu, Luís Daniel
16 Antoine, Jean-Pierre
16 Cattani, Carlo
16 Cheng, Zhengxing
16 DeVore, Ronald A.
16 Dyn, Nira
16 Huang, Yongdong
16 Li, Linyuan
16 Powell, Alexander M.
16 Protasov, Vladimir Yu.
16 Wong, Man Wah
15 Bownik, Marcin
15 Cai, Tony Tony
15 Guglielmi, Nicola
15 Luef, Franz
15 Zhou, Dingxuan
14 Bertoluzza, Silvia
14 Feichtinger, Hans Georg
14 Gabardo, Jean-Pierre
14 Huang, Ting-Zhu
14 Lemvig, Jakob
14 Nielsen, Morten
14 Ramlau, Ronny
14 Romero, José Luis
14 Schneider, Kai
14 Shen, Lixin
14 Shi, Xianliang
14 Stöckler, Joachim
14 Walter, Gilbert G.
14 Zhang, Zhihua
13 Antoniadis, Anestis
13 Arefijamaal, Ali Akbar
13 Cai, Jian-Feng
13 Harbrecht, Helmut
13 Jaffard, Stéphane
13 Klauder, John Rider
13 Lee, Seng Luan
13 Nicolay, Samuel
13 Osher, Stanley Joel
13 Rahimi, Asghar
13 Rossafi, Mohamed
13 Schneider, Reinhold
13 Toda, Hirosi
13 Trillo, Juan Carlos
12 Ahmad, Owais
12 Aràndiga, Francesc
...and 7,878 more Authors
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Cited in 700 Serials

494 Applied and Computational Harmonic Analysis
317 International Journal of Wavelets, Multiresolution and Information Processing
185 The Journal of Fourier Analysis and Applications
136 Journal of Mathematical Analysis and Applications
126 Applied Mathematics and Computation
125 Journal of Computational and Applied Mathematics
109 Journal of Approximation Theory
109 Linear Algebra and its Applications
109 Advances in Computational Mathematics
91 Journal of Mathematical Physics
87 Journal of Computational Physics
65 Proceedings of the American Mathematical Society
64 Journal of Functional Analysis
64 Journal of Mathematical Imaging and Vision
62 Inverse Problems
61 The Annals of Statistics
53 Computers & Mathematics with Applications
53 Numerical Functional Analysis and Optimization
51 Constructive Approximation
51 Journal of Pseudo-Differential Operators and Applications
50 Mathematics of Computation
45 Journal of Scientific Computing
44 Applicable Analysis
44 Chaos, Solitons and Fractals
44 Mathematical Problems in Engineering
43 Journal of Inequalities and Applications
43 SIAM Journal on Imaging Sciences
41 Transactions of the American Mathematical Society
40 Acta Mathematica Sinica. English Series
38 Results in Mathematics
38 Computational Statistics and Data Analysis
37 Communications in Statistics. Theory and Methods
35 Circuits, Systems, and Signal Processing
35 Numerical Algorithms
35 Pattern Recognition
34 International Journal of Computer Mathematics
33 SIAM Journal on Scientific Computing
30 Journal of Statistical Planning and Inference
30 Applied Numerical Mathematics
30 Inverse Problems and Imaging
29 Physica A
29 Statistics & Probability Letters
28 Journal of the Franklin Institute
28 Computational Optimization and Applications
28 Abstract and Applied Analysis
27 Journal of Multivariate Analysis
27 Journal of Mathematical Sciences (New York)
27 Complex Analysis and Operator Theory
26 Computer Methods in Applied Mechanics and Engineering
26 Physica D
26 Analysis and Applications (Singapore)
26 Electronic Journal of Statistics
25 Numerische Mathematik
25 Applied Mathematics Letters
24 Mathematics and Computers in Simulation
24 Mathematical and Computer Modelling
24 Integral Transforms and Special Functions
24 Science China. Mathematics
23 Communications in Mathematical Physics
23 Information Sciences
23 Acta Applicandae Mathematicae
23 Foundations of Computational Mathematics
22 Automatica
22 Monatshefte für Mathematik
22 The Journal of Geometric Analysis
20 Linear and Multilinear Algebra
20 Advances in Mathematics
20 Computer Aided Geometric Design
20 Applied Mathematical Modelling
19 Mathematical Notes
19 Mathematical Programming. Series A. Series B
19 Mediterranean Journal of Mathematics
19 Inverse Problems in Science and Engineering
19 Sahand Communications in Mathematical Analysis
18 Integral Equations and Operator Theory
18 International Journal for Numerical Methods in Engineering
18 Journal of Optimization Theory and Applications
18 Quantitative Finance
17 International Journal of Applied and Computational Mathematics
16 International Journal of Theoretical Physics
16 Journal of Complexity
16 Neural Networks
16 Multidimensional Systems and Signal Processing
16 Journal of Inverse and Ill-Posed Problems
16 Journal of Nonparametric Statistics
16 Journal of Applied Statistics
16 Communications in Nonlinear Science and Numerical Simulation
15 BIT
15 Mathematische Nachrichten
15 European Journal of Operational Research
15 Journal of Machine Learning Research (JMLR)
15 Journal of Function Spaces
14 Annals of the Institute of Statistical Mathematics
14 Applied Mathematics and Mechanics. (English Edition)
14 Signal Processing
14 Stochastic Processes and their Applications
14 Applied Mathematics. Series B (English Edition)
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Statistics and Computing
13 Communications on Pure and Applied Mathematics
...and 600 more Serials
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Cited in 61 Fields

3,054 Harmonic analysis on Euclidean spaces (42-XX)
2,218 Numerical analysis (65-XX)
1,208 Information and communication theory, circuits (94-XX)
891 Statistics (62-XX)
676 Functional analysis (46-XX)
579 Approximations and expansions (41-XX)
542 Computer science (68-XX)
504 Partial differential equations (35-XX)
496 Operator theory (47-XX)
391 Operations research, mathematical programming (90-XX)
290 Probability theory and stochastic processes (60-XX)
258 Quantum theory (81-XX)
216 Biology and other natural sciences (92-XX)
210 Linear and multilinear algebra; matrix theory (15-XX)
173 Calculus of variations and optimal control; optimization (49-XX)
170 Fluid mechanics (76-XX)
167 Systems theory; control (93-XX)
166 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
155 Abstract harmonic analysis (43-XX)
135 Integral transforms, operational calculus (44-XX)
126 Dynamical systems and ergodic theory (37-XX)
122 Real functions (26-XX)
115 Measure and integration (28-XX)
103 Integral equations (45-XX)
99 Mechanics of deformable solids (74-XX)
77 Number theory (11-XX)
77 Topological groups, Lie groups (22-XX)
72 Ordinary differential equations (34-XX)
70 Special functions (33-XX)
69 Optics, electromagnetic theory (78-XX)
58 Functions of a complex variable (30-XX)
58 Geophysics (86-XX)
53 Difference and functional equations (39-XX)
47 Statistical mechanics, structure of matter (82-XX)
42 Global analysis, analysis on manifolds (58-XX)
37 Combinatorics (05-XX)
28 Mechanics of particles and systems (70-XX)
27 Convex and discrete geometry (52-XX)
26 Differential geometry (53-XX)
22 Classical thermodynamics, heat transfer (80-XX)
18 Several complex variables and analytic spaces (32-XX)
18 Sequences, series, summability (40-XX)
17 Relativity and gravitational theory (83-XX)
16 Astronomy and astrophysics (85-XX)
15 General and overarching topics; collections (00-XX)
14 Group theory and generalizations (20-XX)
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12 Potential theory (31-XX)
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9 Algebraic geometry (14-XX)
7 Geometry (51-XX)
6 Mathematics education (97-XX)
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4 Field theory and polynomials (12-XX)
3 \(K\)-theory (19-XX)
2 Category theory; homological algebra (18-XX)
1 Associative rings and algebras (16-XX)

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