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## Daubechies, Ingrid Chantal

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 Author ID: daubechies.ingrid-c Published as: Daubechies, I.; Daubechies, Ingrid; Daubechies, Ingrid C. Homepage: https://math.duke.edu/people/ingrid-daubechies External Links: Women in Mathematics · MGP · Wikidata · ORCID · dblp · GND · MacTutor
 Documents Indexed: 126 Publications since 1978, including 5 Books Biographic References: 2 Publications
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#### Co-Authors

 25 single-authored 14 Cohen, Albert 7 DeVore, Ronald A. 7 Sweldens, Wim 5 Klauder, John Rider 5 Lagarias, Jeffrey C. 4 Rudin, Cynthia 4 Schapire, Robert E. 4 Yin, Rujie 3 Cornelis, Bruno 3 De Mol, Christine 3 Güntürk, Cemalettin Sinan 3 Guskov, Igor 3 Han, Bin 3 Kutyniok, Gitta 3 Lipman, Yaron 3 Loris, Ignace 3 Rauhut, Holger 3 Strohmer, Thomas 3 Wu, Hau-Tieng 2 Aerts, Diederik Emiel 2 Alaifari, Rima 2 Balan, Radu V. 2 Calderbank, Arthur Robert 2 Dahmen, Wolfgang A. 2 Defrise, Michel 2 Fornasier, Massimo 2 Gilbert, Anna C. 2 Grohs, Philipp 2 Huang, Ying 2 Jaffard, Stéphane 2 Journé, Jean-Lin 2 Lieb, Elliott H. 2 Lu, Jianfeng 2 Maes, Stéphane H. 2 Meyer, Yves F. 2 Ocon, Noelle 2 Paul, Thierry 2 Ron, Amos 2 Runborg, Olof 2 Teschke, Gerd 2 Vaishampayan, Vinay Anant 2 Vial, Pierre 2 Yang, Haizhao 2 Yılmaz, Özgür 2 Zou, Jing 1 Al-Aifari, Reema 1 Anthoine, Sandrine 1 Beylkin, Gregory 1 Bourguignon, Jean-Pierre 1 Brodie, Joshua 1 Cahill, Jameson 1 Casazza, Peter George 1 Clemens, C. Herbert 1 Coifman, Ronald Raphaël 1 Cvetković, Zoran 1 Deligiannis, Nikos 1 Donoho, David Leigh 1 Douma, H. 1 Drakakis, Konstantinos 1 Dunson, David Brian 1 Feauveau, Jean-Christophe 1 Flandrin, Patrick 1 Fodor, Gábor 1 Gao, Tingran 1 Giannone, Domenico 1 Goodfriend, Alex 1 Grossman, A. G. 1 Grossmann, Alex 1 Guleryuz, Onur G. 1 Hou, Thomas Yizhao 1 Huang, Norden E. 1 Janssen, Augustus Josephus Elizabeth Maria 1 Jawerth, Björn David 1 Kerkyacharian, Gérard 1 Khovanova, Tanya 1 Kim, Myunghwan 1 Landau, Henry Jacob 1 Landau, Zeph A. 1 Logan, Benjamin F. 1 Lu, Yu 1 Mallat, Stephane Georges 1 Mota, João F. C. 1 Nolet, Guust 1 Park, Youngah 1 Picard, Dominique B. 1 Pierpaoli, Elena 1 Planchon, Fabrice 1 Plonka, Gerlind 1 Puente, Javier 1 Raphael, Louise A. 1 Regone, C. 1 Roberts, Stephen J. 1 Rodrigues, Miguel R. D. 1 Roussos, Evangelos 1 Ruskai, Mary Beth 1 Schröder, Peter 1 Shen, Zuowei 1 Strauss, Martin J. 1 Thakur, Gaurav S. 1 Unser, Michael A. ...and 8 more Co-Authors
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#### Serials

 11 IEEE Transactions on Information Theory 9 Applied and Computational Harmonic Analysis 8 SIAM Journal on Mathematical Analysis 7 The Journal of Fourier Analysis and Applications 6 Communications on Pure and Applied Mathematics 6 Constructive Approximation 5 Journal of Mathematical Physics 4 Letters in Mathematical Physics 3 Communications in Mathematical Physics 3 Revista Matemática Iberoamericana 3 Oberwolfach Reports 2 Inverse Problems 2 Journal of Computational Physics 2 Linear Algebra and its Applications 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 Notices of the American Mathematical Society 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 Transactions of the American Mathematical Society. Series B
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#### Fields

 66 Harmonic analysis on Euclidean spaces (42-XX) 41 Information and communication theory, circuits (94-XX) 32 Numerical analysis (65-XX) 18 Functional analysis (46-XX) 17 Computer science (68-XX) 16 Quantum theory (81-XX) 11 Approximations and expansions (41-XX) 9 General and overarching topics; collections (00-XX) 9 Operator theory (47-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-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) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-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 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

108 Publications have been cited 7,841 times in 5,537 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
1988
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
2004
The wavelet transform, time-frequency localization and signal analysis. Zbl 0738.94004
Daubechies, Ingrid
1990
Painless nonorthogonal expansions. Zbl 0608.46014
Daubechies, Ingrid; Grossmann, A.; Meyer, Y.
1986
Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020
Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C.
1992
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
2003
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
1993
Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013
Daubechies, Ingrid; Lagarias, Jeffrey C.
1992
Sets of matrices all infinite products of which converge. Zbl 0746.15015
Daubechies, Ingrid; Lagarias, Jeffrey C.
1992
Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018
Daubechies, Ingrid; Lagarias, Jeffrey C.
1991
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
2010
Time-frequency localization operators: A geometric phase space approach. Zbl 0672.42007
Daubechies, Ingrid
1988
Sparse and stable Markowitz portfolios. Zbl 1203.91271
Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace
2009
Factoring wavelet transforms into lifting steps. Zbl 0913.42027
Daubechies, Ingrid; Sweldens, Wim
1998
Non-separable bidimensional wavelet bases. Zbl 0792.42021
Cohen, Albert; Daubechies, Ingrid
1993
Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018
Daubechies, Ingrid; Landau, H. J.; Landau, Zeph
1995
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
2004
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
2011
A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Zbl 0784.42022
Cohen, Albert; Daubechies, Ingrid
1992
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
1997
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
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
2003
A new technique to estimate the regularity of refinable functions. Zbl 0879.65102
Cohen, Albert; Daubechies, Ingrid
1996
A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
1991
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
2001
Frames in the Bargmann Hilbert space of entire functions. Zbl 0632.30049
Daubechies, Ingrid; Grossman, A.
1988
An uncertainty principle for fermions with generalized kinetic energy. Zbl 0946.81521
Daubechies, Ingrid
1983
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
2005
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
1998
Time-frequency localisation operators - a geometric phase space approach: II. The use of dilations. Zbl 0701.42004
Daubechies, Ingrid; Paul, Thierry
1988
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
2007
Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062
Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace
2008
Orthonormal bases of compactly supported wavelets. II: Variations on a theme. Zbl 0792.42018
Daubechies, Ingrid
1993
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
1999
Multiresolution analysis, wavelets and fast algorithms on an interval. Zbl 0768.42015
Cohen, Albert; Daubechies, Ingrid; Jawerth, Bjorn; Vial, Pierre
1993
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
1998
On the stability of arbitrary biorthogonal wavelet packets. Zbl 0792.42020
Cohen, A.; Daubechies, I.
1993
One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522
Daubechies, Ingrid; Lieb, Elliott H.
1983
Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024
Daubechies, Ingrid; Lagarias, Jeffrey C.
2001
A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models. Zbl 0848.92003
Daubechies, Ingrid; Maes, Stéphane
1996
The canonical dual frame of a wavelet frame. Zbl 1013.42023
Daubechies, Ingrid; Han, Bin
2002
On the thermodynamic formalism for multifractal functions. Zbl 0843.58091
Daubechies, Ingrid; Lagarias, Jeffrey C.
1994
On the distributions corresponding to bounded operators in the Weyl quantization. Zbl 0451.47059
Daubechies, Ingrid
1980
On the importance of combining wavelet-based nonlinear approximation with coding strategies. Zbl 1061.94004
Cohen, Albert; Daubechies, Ingrid; Guleryuz, Onur G.
2002
Two theorems on lattice expansions. Zbl 0764.42018
Daubechies, I.; Janssen, A. J. E. M.
1993
Wavelets and their applications. Zbl 0782.00087
Ruskai, Mary Beth (ed.); Beylkin, Gregory (ed.); Coifman, Ronald (ed.); Daubechies, Ingrid (ed.); Mallat, Stephane (ed.); Meyer, Yves (ed.); Raphael, Louise (ed.)
1992
Quantum-mechanical path integrals with Wiener measure for all polynomials Hamiltonians. II. Zbl 0979.81517
Daubechies, Ingrid; Klauder, John R.
1985
Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015
Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid
2016
Commutation for irregular subdivision. Zbl 0994.42019
Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim
2001
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
2012
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
2006
On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005
Unser, Michael; Daubechies, Ingrid
1997
Wavelets on irregular point sets. Zbl 0945.42019
Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim
1999
Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator. Zbl 0829.42021
Daubechies, Ingrid
1994
Continuity statements and counterintuitive examples in connection with Weyl quantization. Zbl 0541.44001
Daubechies, Ingrid
1983
ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform. Zbl 1353.42031
Daubechies, Ingrid; Wang, Yi; Wu, Hau-tieng
2016
Wiener measures for path integrals with affine kinematic variables. Zbl 0615.58008
Daubechies, Ingrid; Klauder, John R.; Paul, Thierry
1987
Quantum mechanical path integrals with Wiener measures for all polynomials Hamiltonians. Zbl 0979.81518
Klauder, John R.; Daubechies, Ingrid
1984
Conformal Wasserstein distances: comparing surfaces in polynomial time. Zbl 1217.53026
Lipman, Y.; Daubechies, I.
2011
The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011
Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay
2000
Coherent states and projective representation of the linear canonical transformations. Zbl 0453.22012
Daubechies, Ingrid
1980
Sparsity-enforcing regularisation and ISTA revisited. Zbl 1402.65048
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
2016
One or two frequencies? The synchrosqueezing answers. Zbl 1234.94018
Wu, Hau-Tieng; Flandrin, Patrick; Daubechies, Ingrid
2011
The pros and cons of democracy. Zbl 1061.94014
Calderbank, A. R.; Daubechies, I.
2002
A decay theorem for refinable functions. Zbl 0851.42027
Daubechies, I.; Huang, Y.
1994
A characterization of subsystems in physics. Zbl 0451.03025
Aerts, Dirk; Daubechies, Ingrid
1979
The Golden ratio encoder. Zbl 1366.94231
Daubechies, Ingrid; Güntürk, Sinan; Wang, Yang; Yılmaz, Özgür
2010
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
2007
Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis. Zbl 1085.65128
Zou, Jing; Gilbert, Anna; Strauss, Martin; Daubechies, Ingrid
2006
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
2019
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
2017
Robust and practical analog-to-digital conversion with exponential precision. Zbl 1231.94037
Daubechies, Ingrid; Yılmaz, Özgür
2006
Ten lectures on wavelets. Transl. from the English by E. V. Mishchenko, ed. by A. P. Petukhov. Zbl 1006.42030
Daubechies, Ingrid
2001
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
1979
Continuous Procrustes distance between two surfaces. Zbl 1276.68157
Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron
2013
Using Fredholm determinants to estimate the smoothness of refinable functions. Zbl 0927.42016
Daubechies, Ingrid
1995
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
2017
Conformal Wasserstein distance: II. Computational aspects and extensions. Zbl 1281.65034
Lipman, Y.; Puente, J.; Daubechies, I.
2013
Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. Zbl 1231.94041
Cvetkovic, Zoran; Daubechies, Ingrid; Logan, Benjamin F.
2007
The dynamics of adaboost: cyclic behavior and convergence of margins. Zbl 1222.68293
Rudin, Cynthia; Daubechies, Ingrid; Schapire, Robert E.
2004
Factoring wavelet transforms into lifting steps. Zbl 0963.65154
Daubechies, Ingrid; Sweldens, Wim
2000
How does truncation of the mask affect a refinable function? Zbl 0874.42025
Daubechies, Ingrid; Huang, Ying
1995
Wavelet transforms and orthonormal wavelet bases. Zbl 0802.42025
Daubechies, Ingrid
1993
Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. Zbl 0792.42019
Cohen, A.; Daubechies, Ingrid
1993
Wiener measures for quantum mechanical path integrals. Zbl 0496.60066
Klauder, John R.; Daubechies, Ingrid
1982
Recursive diffeomorphism-based regression for shape functions. Zbl 1381.65104
Xu, Jieren; Yang, Haizhao; Daubechies, Ingrid
2018
An iteratively reweighted least squares algorithm for sparse regularization. Zbl 1392.65074
Voronin, Sergey; Daubechies, Ingrid
2017
Nonlinear regularization techniques for seismic tomography. Zbl 1182.86003
Loris, I.; Douma, H.; Nolet, G.; Daubechies, I.; Regone, C.
2010
Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001
2003
Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
1991
Removal of canvas patterns in digital acquisitions of paintings. Zbl 1409.94095
Cornelis, Bruno; Yang, Haizhao; Goodfriend, Alex; Ocon, Noelle; Lu, Jianfeng; Daubechies, Ingrid
2017
Harmonic analysis, wavelets and applications. Zbl 0931.42017
Daubechies, Ingrid C.; Gilbert, Anna C.
1999
How smooth is the smoothest function in a given refinable space? Zbl 0901.46024
Cohen, Albert; Daubechies, Ingrid; Ron, Amos
1996
Wavelets and other phase space localization methods. Zbl 0845.42012
Daubechies, Ingrid
1995
Orthogonal bases of wavelets with finite support – connection with discrete filters. Zbl 0850.42013
Daubechies, I.
1989
Measures for more quadratic path integrals. Zbl 0521.60078
Daubechies, Ingrid; Klauder, John R.
1983
Directional wavelet bases constructions with dyadic quincunx subsampling. Zbl 1409.42029
Yin, Rujie; Daubechies, Ingrid
2018
Adaptive data analysis: theory and applications. Theme issue. Zbl 1354.00073
Huang, Norden E. (ed.); Daubechies, Ingrid (ed.); Hou, Thomas Y. (ed.)
2016
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
2019
Recursive diffeomorphism-based regression for shape functions. Zbl 1381.65104
Xu, Jieren; Yang, Haizhao; Daubechies, Ingrid
2018
Directional wavelet bases constructions with dyadic quincunx subsampling. Zbl 1409.42029
Yin, Rujie; Daubechies, Ingrid
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
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
2017
An iteratively reweighted least squares algorithm for sparse regularization. Zbl 1392.65074
Voronin, Sergey; Daubechies, Ingrid
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
2017
Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015
Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid
2016
ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform. Zbl 1353.42031
Daubechies, Ingrid; Wang, Yi; Wu, Hau-tieng
2016
Sparsity-enforcing regularisation and ISTA revisited. Zbl 1402.65048
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
2016
Adaptive data analysis: theory and applications. Theme issue. Zbl 1354.00073
Huang, Norden E. (ed.); Daubechies, Ingrid (ed.); Hou, Thomas Y. (ed.)
2016
Continuous Procrustes distance between two surfaces. Zbl 1276.68157
Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron
2013
Conformal Wasserstein distance: II. Computational aspects and extensions. Zbl 1281.65034
Lipman, Y.; Puente, J.; Daubechies, I.
2013
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
2012
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
2011
Conformal Wasserstein distances: comparing surfaces in polynomial time. Zbl 1217.53026
Lipman, Y.; Daubechies, I.
2011
One or two frequencies? The synchrosqueezing answers. Zbl 1234.94018
Wu, Hau-Tieng; Flandrin, Patrick; Daubechies, Ingrid
2011
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
2010
The Golden ratio encoder. Zbl 1366.94231
Daubechies, Ingrid; Güntürk, Sinan; Wang, Yang; Yılmaz, Özgür
2010
Nonlinear regularization techniques for seismic tomography. Zbl 1182.86003
Loris, I.; Douma, H.; Nolet, G.; Daubechies, I.; Regone, C.
2010
Sparse and stable Markowitz portfolios. Zbl 1203.91271
Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace
2009
Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062
Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace
2008
Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044
Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita
2007
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
2007
Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. Zbl 1231.94041
Cvetkovic, Zoran; Daubechies, Ingrid; Logan, Benjamin F.
2007
Precise statements of convergence for AdaBoost and arc-gv. Zbl 1141.68722
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
2007
Analysis of boosting algorithms using the smooth margin function. Zbl 1132.68827
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
2007
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
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
2006
Robust and practical analog-to-digital conversion with exponential precision. Zbl 1231.94037
Daubechies, Ingrid; Yılmaz, Özgür
2006
Two approaches for the simultaneous separation and deblurring; application to astrophysical data. Zbl 1245.94013
Anthoine, S.; Pierpaoli, E.; Daubechies, I.
2006
Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104
Daubechies, I.; Teschke, G.
2005
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
2004
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
2004
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
The dynamics of adaboost: cyclic behavior and convergence of margins. Zbl 1222.68293
Rudin, Cynthia; Daubechies, Ingrid; Schapire, Robert E.
2004
Boosting based on a smooth margin. Zbl 1078.68724
Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid
2004
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
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
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
2003
Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001
2003
The canonical dual frame of a wavelet frame. Zbl 1013.42023
Daubechies, Ingrid; Han, Bin
2002
On the importance of combining wavelet-based nonlinear approximation with coding strategies. Zbl 1061.94004
Cohen, Albert; Daubechies, Ingrid; Guleryuz, Onur G.
2002
The pros and cons of democracy. Zbl 1061.94014
Calderbank, A. R.; Daubechies, I.
2002
Daubechies, Ingrid; Planchon, Fabrice
2002
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
2001
Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024
Daubechies, Ingrid; Lagarias, Jeffrey C.
2001
Commutation for irregular subdivision. Zbl 0994.42019
Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim
2001
Ten lectures on wavelets. Transl. from the English by E. V. Mishchenko, ed. by A. P. Petukhov. Zbl 1006.42030
Daubechies, Ingrid
2001
The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011
Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay
2000
Factoring wavelet transforms into lifting steps. Zbl 0963.65154
Daubechies, Ingrid; Sweldens, Wim
2000
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
1999
Wavelets on irregular point sets. Zbl 0945.42019
Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim
1999
Harmonic analysis, wavelets and applications. Zbl 0931.42017
Daubechies, Ingrid C.; Gilbert, Anna C.
1999
Factoring wavelet transforms into lifting steps. Zbl 0913.42027
Daubechies, Ingrid; Sweldens, Wim
1998
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
1998
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
1998
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
1997
On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005
Unser, Michael; Daubechies, Ingrid
1997
From the original framer to present-day time-frequency and time-scale frames. Zbl 0903.42013
Daubechies, Ingrid
1997
A new technique to estimate the regularity of refinable functions. Zbl 0879.65102
Cohen, Albert; Daubechies, Ingrid
1996
A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models. Zbl 0848.92003
Daubechies, Ingrid; Maes, Stéphane
1996
How smooth is the smoothest function in a given refinable space? Zbl 0901.46024
Cohen, Albert; Daubechies, Ingrid; Ron, Amos
1996
Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018
Daubechies, Ingrid; Landau, H. J.; Landau, Zeph
1995
Using Fredholm determinants to estimate the smoothness of refinable functions. Zbl 0927.42016
Daubechies, Ingrid
1995
How does truncation of the mask affect a refinable function? Zbl 0874.42025
Daubechies, Ingrid; Huang, Ying
1995
Wavelets and other phase space localization methods. Zbl 0845.42012
Daubechies, Ingrid
1995
On the thermodynamic formalism for multifractal functions. Zbl 0843.58091
Daubechies, Ingrid; Lagarias, Jeffrey C.
1994
Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator. Zbl 0829.42021
Daubechies, Ingrid
1994
A decay theorem for refinable functions. Zbl 0851.42027
Daubechies, I.; Huang, Y.
1994
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
1993
Non-separable bidimensional wavelet bases. Zbl 0792.42021
Cohen, Albert; Daubechies, Ingrid
1993
Orthonormal bases of compactly supported wavelets. II: Variations on a theme. Zbl 0792.42018
Daubechies, Ingrid
1993
Multiresolution analysis, wavelets and fast algorithms on an interval. Zbl 0768.42015
Cohen, Albert; Daubechies, Ingrid; Jawerth, Bjorn; Vial, Pierre
1993
On the stability of arbitrary biorthogonal wavelet packets. Zbl 0792.42020
Cohen, A.; Daubechies, I.
1993
Two theorems on lattice expansions. Zbl 0764.42018
Daubechies, I.; Janssen, A. J. E. M.
1993
Wavelet transforms and orthonormal wavelet bases. Zbl 0802.42025
Daubechies, Ingrid
1993
Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. Zbl 0792.42019
Cohen, A.; Daubechies, Ingrid
1993
Wavelets on the interval. Zbl 0925.42017
Daubechies, Ingrid
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
Daubechies, Ingrid (ed.)
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.
1992
Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013
Daubechies, Ingrid; Lagarias, Jeffrey C.
1992
Sets of matrices all infinite products of which converge. Zbl 0746.15015
Daubechies, Ingrid; Lagarias, Jeffrey C.
1992
A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Zbl 0784.42022
Cohen, Albert; Daubechies, Ingrid
1992
Wavelets and their applications. Zbl 0782.00087
Ruskai, Mary Beth (ed.); Beylkin, Gregory (ed.); Coifman, Ronald (ed.); Daubechies, Ingrid (ed.); Mallat, Stephane (ed.); Meyer, Yves (ed.); Raphael, Louise (ed.)
1992
Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018
Daubechies, Ingrid; Lagarias, Jeffrey C.
1991
A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
1991
Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
1991
The wavelet transform, time-frequency localization and signal analysis. Zbl 0738.94004
Daubechies, Ingrid
1990
Orthogonal bases of wavelets with finite support – connection with discrete filters. Zbl 0850.42013
Daubechies, I.
1989
Orthonormal bases of compactly supported wavelets. Zbl 0644.42026
Daubechies, Ingrid
1988
Time-frequency localization operators: A geometric phase space approach. Zbl 0672.42007
Daubechies, Ingrid
1988
Frames in the Bargmann Hilbert space of entire functions. Zbl 0632.30049
Daubechies, Ingrid; Grossman, A.
1988
Time-frequency localisation operators - a geometric phase space approach: II. The use of dilations. Zbl 0701.42004
Daubechies, Ingrid; Paul, Thierry
1988
Wiener measures for path integrals with affine kinematic variables. Zbl 0615.58008
Daubechies, Ingrid; Klauder, John R.; Paul, Thierry
1987
Painless nonorthogonal expansions. Zbl 0608.46014
Daubechies, Ingrid; Grossmann, A.; Meyer, Y.
1986
Quantum-mechanical path integrals with Wiener measure for all polynomials Hamiltonians. II. Zbl 0979.81517
Daubechies, Ingrid; Klauder, John R.
1985
Quantum mechanical path integrals with Wiener measures for all polynomials Hamiltonians. Zbl 0979.81518
Klauder, John R.; Daubechies, Ingrid
1984
An uncertainty principle for fermions with generalized kinetic energy. Zbl 0946.81521
Daubechies, Ingrid
1983
...and 8 more Documents
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#### Cited by 6,855 Authors

 68 Shen, Zuowei 48 Han, Bin 44 Li, Yunzhang 38 Daubechies, Ingrid Chantal 37 Sun, Wenchang 36 Gröchenig, Karlheinz 35 Christensen, Ole 32 Jørgensen, Palle E. T. 31 Sun, Qiyu 30 Chui, Charles Kam-tai 28 Chesneau, Christophe 27 Amat, Sergio P. 26 Han, Deguang 26 Li, Song 25 Kutyniok, Gitta 24 Dahlke, Stephan 24 Shah, Firdous Ahmad 22 Yang, Shouzhi 21 Jiang, Qingtang 20 Dong, Bin 20 Grohs, Philipp 20 Guo, Xunxiang 20 Heil, Christopher E. 20 Kim, Hong Oh 19 Cohen, Albert 19 Dahmen, Wolfgang A. 19 Dutkay, Dorin Ervin 19 Fornasier, Massimo 19 Wang, Yang 18 Benedetto, John J. 18 Ji, Hui 18 Li, Dengfeng 18 Liandrat, Jacques 18 Liu, Youming 17 Ben Slimane, Mourad 17 Charina, Maria 17 Chen, Dirong 17 Chen, Qingjiang 17 Cheng, Zhengxing 17 Jia, Rong-Qing 17 Plonka, Gerlind 17 Protasov, Vladimir Yu. 17 Xu, Yuesheng 17 Zhou, Xingwei 17 Zhuang, Xiaosheng 16 Antoine, Jean-Pierre 16 Goh, Say Song 16 Kim, Rae Young 16 Zhou, Dingxuan 15 Huang, Yongdong 15 Kaushik, Shiv Kumar 15 Li, Linyuan 15 Maass, Peter 15 Nielsen, Morten 15 Skopina, Maria A. 15 Vashisht, Lalit Kumar 14 Casazza, Peter George 14 Cordero, Elena 14 Gabardo, Jean-Pierre 14 Lemvig, Jakob 14 Maleknejad, Khosrow 14 Powell, Alexander M. 14 San Antolín, Angel 14 Walter, Gilbert G. 14 Wong, Man Wah 13 Antoniadis, Anestis 13 Balazs, Peter 13 Bownik, Marcin 13 DeVore, Ronald A. 13 Dyn, Nira 13 Guglielmi, Nicola 13 Mejjaoli, Hatem 13 Osher, Stanley Joel 13 Schneider, Reinhold 13 Shen, Lixin 13 Shi, Xianliang 13 Stöckler, Joachim 13 Toda, Hirosi 12 Abreu, Luís Daniel 12 Cai, Jian-Feng 12 Cattani, Carlo 12 Klauder, John Rider 12 Mehra, Mani 12 Trillo, Juan Carlos 12 Zhang, Zhihua 12 Zhang, Zhong 11 Aràndiga, Francesc 11 Averbuch, Amir Z. 11 Ayache, Antoine 11 Bertoluzza, Silvia 11 Cai, Tony Tony 11 Feng, Xiangchu 11 Fu, Chuli 11 Harbrecht, Helmut 11 Huang, Ting-Zhu 11 Kozyakin, Viktor Sergeevich 11 Lieb, Elliott H. 11 Lim, Jae Kun 11 Peng, Lizhong 11 Ron, Amos ...and 6,755 more Authors
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#### Cited in 595 Serials

 456 Applied and Computational Harmonic Analysis 281 International Journal of Wavelets, Multiresolution and Information Processing 171 The Journal of Fourier Analysis and Applications 126 Applied Mathematics and Computation 118 Journal of Mathematical Analysis and Applications 115 Journal of Computational and Applied Mathematics 107 Journal of Approximation Theory 98 Linear Algebra and its Applications 98 Advances in Computational Mathematics 84 Journal of Mathematical Physics 80 Journal of Computational Physics 64 Proceedings of the American Mathematical Society 59 Journal of Functional Analysis 54 The Annals of Statistics 50 Computers & Mathematics with Applications 47 Mathematics of Computation 46 Numerical Functional Analysis and Optimization 45 Constructive Approximation 44 Journal of Mathematical Imaging and Vision 41 Applicable Analysis 40 Chaos, Solitons and Fractals 39 Transactions of the American Mathematical Society 39 Acta Mathematica Sinica. English Series 38 Journal of Scientific Computing 38 Pattern Recognition 38 Mathematical Problems in Engineering 36 Inverse Problems 33 Circuits, Systems, and Signal Processing 33 Computational Statistics and Data Analysis 32 Results in Mathematics 31 Statistics & Probability Letters 30 Communications in Statistics. Theory and Methods 30 SIAM Journal on Imaging Sciences 29 Journal of Statistical Planning and Inference 29 Numerical Algorithms 28 Journal of the Franklin Institute 27 Applied Numerical Mathematics 26 Journal of Multivariate Analysis 26 International Journal of Computer Mathematics 26 Abstract and Applied Analysis 25 Computer Methods in Applied Mechanics and Engineering 25 Physica D 24 Physica A 24 Mathematical and Computer Modelling 24 Computational Optimization and Applications 24 SIAM Journal on Scientific Computing 23 Applied Mathematics Letters 23 Inverse Problems and Imaging 23 Electronic Journal of Statistics 22 Numerische Mathematik 22 Integral Transforms and Special Functions 22 Journal of Inequalities and Applications 21 Mathematics and Computers in Simulation 21 Monatshefte für Mathematik 21 Journal of Mathematical Sciences (New York) 21 Science China. Mathematics 21 Journal of Pseudo-Differential Operators and Applications 20 Communications in Mathematical Physics 19 Computer Aided Geometric Design 19 The Journal of Geometric Analysis 19 Foundations of Computational Mathematics 19 Complex Analysis and Operator Theory 18 Mathematical Notes 18 Automatica 18 Information Sciences 18 Acta Applicandae Mathematicae 18 Analysis and Applications (Singapore) 18 Mediterranean Journal of Mathematics 17 Advances in Mathematics 17 Integral Equations and Operator Theory 17 International Journal for Numerical Methods in Engineering 17 Applied Mathematical Modelling 17 Mathematical Programming. Series A. Series B 16 Multidimensional Systems and Signal Processing 15 International Journal of Theoretical Physics 15 Journal of Complexity 15 Stochastic Processes and their Applications 15 Journal of Nonparametric Statistics 14 BIT 14 Applied Mathematics and Mechanics. (English Edition) 14 Signal Processing 14 Applied Mathematics. Series B (English Edition) 13 Annals of the Institute of Statistical Mathematics 13 Journal of Optimization Theory and Applications 13 Journal of Inverse and Ill-Posed Problems 13 Communications in Nonlinear Science and Numerical Simulation 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Communications on Pure and Applied Mathematics 12 Journal of Time Series Analysis 12 Science in China. Series A 12 Quantitative Finance 12 Multiscale Modeling & Simulation 12 EURASIP Journal on Advances in Signal Processing 12 Journal of Function Spaces 12 International Journal of Applied and Computational Mathematics 11 Mathematical Methods in the Applied Sciences 11 Journal of Geometry and Physics 11 Communications in Statistics. Simulation and Computation 11 Journal of Statistical Computation and Simulation 10 Computer Physics Communications ...and 495 more Serials
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#### Cited in 61 Fields

 2,562 Harmonic analysis on Euclidean spaces (42-XX) 1,874 Numerical analysis (65-XX) 984 Information and communication theory, circuits (94-XX) 741 Statistics (62-XX) 502 Functional analysis (46-XX) 486 Approximations and expansions (41-XX) 407 Computer science (68-XX) 397 Partial differential equations (35-XX) 356 Operator theory (47-XX) 274 Operations research, mathematical programming (90-XX) 248 Probability theory and stochastic processes (60-XX) 215 Quantum theory (81-XX) 181 Biology and other natural sciences (92-XX) 167 Linear and multilinear algebra; matrix theory (15-XX) 146 Fluid mechanics (76-XX) 145 Systems theory; control (93-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 125 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 111 Abstract harmonic analysis (43-XX) 110 Dynamical systems and ergodic theory (37-XX) 95 Integral transforms, operational calculus (44-XX) 93 Measure and integration (28-XX) 90 Integral equations (45-XX) 86 Real functions (26-XX) 82 Mechanics of deformable solids (74-XX) 58 Topological groups, Lie groups (22-XX) 58 Ordinary differential equations (34-XX) 58 Optics, electromagnetic theory (78-XX) 56 Special functions (33-XX) 55 Number theory (11-XX) 52 Geophysics (86-XX) 49 Difference and functional equations (39-XX) 42 Functions of a complex variable (30-XX) 37 Statistical mechanics, structure of matter (82-XX) 31 Global analysis, analysis on manifolds (58-XX) 26 Combinatorics (05-XX) 22 Convex and discrete geometry (52-XX) 22 Mechanics of particles and systems (70-XX) 20 Differential geometry (53-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Sequences, series, summability (40-XX) 14 Relativity and gravitational theory (83-XX) 12 General and overarching topics; collections (00-XX) 12 Astronomy and astrophysics (85-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Mathematical logic and foundations (03-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Group theory and generalizations (20-XX) 10 Potential theory (31-XX) 8 Algebraic geometry (14-XX) 8 General topology (54-XX) 7 Manifolds and cell complexes (57-XX) 5 Commutative algebra (13-XX) 5 Geometry (51-XX) 5 Mathematics education (97-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Nonassociative rings and algebras (17-XX) 3 $$K$$-theory (19-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX)

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