Edit Profile (opens in new tab) Daubechies, Ingrid Chantal Co-Author Distance Author ID: daubechies.ingrid-c Published as: Daubechies, Ingrid; Daubechies, I.; Daubechies, Ingrid C. more...less 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) Documents Indexed: 127 Publications since 1978, including 3 Books 7 Contributions as Editor · 4 Further Contributions Biographic References: 4 Publications Co-Authors: 120 Co-Authors with 109 Joint Publications 4,191 Co-Co-Authors 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. 4 Kutyniok, Gitta 4 Lu, Jianfeng 4 Rauhut, Holger 4 Rudin, Cynthia 4 Schapire, Robert E. 4 Strohmer, Thomas 4 Yin, Rujie 3 Cornelis, Bruno 3 De Mol, Christine 3 Fornasier, Massimo 3 Gao, Tingran 3 Güntürk, Cemalettin Sinan 3 Guskov, Igor 3 Han, Bin 3 Lipman, Yaron 3 Loris, Ignace 3 Wu, Hau-Tieng 3 Yang, Haizhao 2 Aerts, Diederik Emiel 2 Alaifari, Rima 2 Balan, Radu V. 2 Calderbank, Arthur Robert 2 Dahmen, Wolfgang A. 2 Defrise, Michel 2 Dunson, David Brian 2 Gilbert, Anna C. 2 Grohs, Philipp 2 Huang, Ying 2 Jaffard, Stéphane 2 Journé, Jean-Lin 2 Kovalsky, Shahar Z. 2 Lieb, Elliott Hershel 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 Xu, Jieren 2 Yılmaz, Özgür 2 Zou, Jing 1 Adem, Alejandro 1 Al-Aifari, Reema 1 Anthoine, Sandrine 1 Ardila, Federico 1 Benedetto, John Joseph 1 Beylkin, Gregory 1 Bonato, Anthony 1 Bourguignon, Jean-Pierre 1 Boyer, Doug M. 1 Brodie, Joshua 1 Cahill, Jameson 1 Casazza, Peter George 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 Delbaen, Freddy 1 Deligiannis, Nikos 1 Donoho, David Leigh 1 Douma, H. 1 Drakakis, Konstantinos 1 Dym, Nadav 1 Feauveau, Jean-Christophe 1 Flandrin, Patrick 1 Fodor, Gábor 1 Foucart, Simon 1 Ghoussoub, Nassif A. 1 Giannone, Domenico 1 Goodfriend, Alex 1 Grossman, A. G. 1 Grossmann, Alexandre 1 Guleryuz, Onur G. 1 Guth, Lawrence David 1 Hanin, B. 1 Heil, Christopher E. 1 Hou, Thomas Yizhao 1 Huang, Norden E. 1 Janssen, Augustus Josephus Elizabeth Maria 1 Jawerth, Björn David 1 Jeffrey, Lisa Claire 1 Jitomirskaya, Svetlana Yakovlevna 1 Kerkyacharian, Gérard 1 Khovanova, Tanya 1 Kim, Myung-Hwan 1 Kontorovich, Alex V. 1 Łaba, Izabella 1 Landau, Henry Jacob 1 Landau, Zeph A. ...and 48 more Co-Authors all top 5 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 all top 5 Fields 70 Harmonic analysis on Euclidean spaces (42-XX) 44 Information and communication theory, circuits (94-XX) 36 Numerical analysis (65-XX) 20 Computer science (68-XX) 18 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 9,170 times in 6,560 Documents Cited by ▼ Year ▼ Ten lectures on wavelets. Zbl 0776.42018Daubechies, Ingrid 3,034 1992 Orthonormal bases of compactly supported wavelets. Zbl 0644.42026Daubechies, Ingrid 790 1988 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055Daubechies, Ingrid; Defrise, Michel; De Mol, Christine 595 2004 Painless nonorthogonal expansions. Zbl 0608.46014Daubechies, Ingrid; Grossmann, A.; Meyer, Y. 502 1986 The wavelet transform, time-frequency localization and signal analysis. Zbl 0738.94004Daubechies, Ingrid 435 1990 Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C. 411 1992 Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei 321 2003 Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018Cohen, Albert; Daubechies, Ingrid; Vial, Pierre 295 1993 Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013Daubechies, Ingrid; Lagarias, Jeffrey C. 166 1992 Time-frequency localization operators: A geometric phase space approach. Zbl 0672.42007Daubechies, Ingrid 161 1988 Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan 160 2010 Sets of matrices all infinite products of which converge. Zbl 0746.15015Daubechies, Ingrid; Lagarias, Jeffrey C. 147 1992 Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018Daubechies, Ingrid; Lagarias, Jeffrey C. 126 1991 Sparse and stable Markowitz portfolios. Zbl 1203.91271Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace 109 2009 Factoring wavelet transforms into lifting steps. Zbl 0913.42027Daubechies, Ingrid; Sweldens, Wim 86 1998 Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018Daubechies, Ingrid; Landau, H. J.; Landau, Zeph 81 1995 Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng 80 2011 Non-separable bidimensional wavelet bases. Zbl 0792.42021Cohen, Albert; Daubechies, Ingrid 69 1993 Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025Daubechies, Ingrid; Han, Bin 67 2004 Time-frequency localisation operators - a geometric phase space approach: II. The use of dilations. Zbl 0701.42004Daubechies, Ingrid; Paul, Thierry 54 1988 Harmonic analysis of the space BV. Zbl 1044.42028Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald 53 2003 Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order. Zbl 1058.94004Daubechies, Ingrid; DeVore, Ronald 53 2003 Tree approximation and optimal encoding. Zbl 0992.65151Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald 46 2001 A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Zbl 0784.42022Cohen, Albert; Daubechies, Ingrid 46 1992 Regularity of refinable function vectors. Zbl 0914.42025Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind 45 1997 A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin 45 1991 An uncertainty principle for fermions with generalized kinetic energy. Zbl 0946.81521Daubechies, Ingrid 44 1983 Frames in the Bargmann Hilbert space of entire functions. Zbl 0632.30049Daubechies, Ingrid; Grossman, A. 42 1988 A new technique to estimate the regularity of refinable functions. Zbl 0879.65102Cohen, Albert; Daubechies, Ingrid 42 1996 Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104Daubechies, I.; Teschke, G. 41 2005 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 41 1998 Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita 39 2007 Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace 36 2008 Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid 36 2016 Regularity of irregular subdivision. Zbl 0957.42022Daubechies, I.; Guskov, I.; Sweldens, W. 33 1999 Wavelet transforms that map integers to integers. Zbl 0941.42017Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock 32 1998 Orthonormal bases of compactly supported wavelets. II: Variations on a theme. Zbl 0792.42018Daubechies, Ingrid 31 1993 Normal multiresolution approximation of curves. Zbl 1051.42025Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 30 2004 One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522Daubechies, Ingrid; Lieb, Elliott H. 29 1983 Multiresolution analysis, wavelets and fast algorithms on an interval. Zbl 0768.42015Cohen, Albert; Daubechies, Ingrid; Jawerth, Bjorn; Vial, Pierre 28 1993 A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models. Zbl 0848.92003Daubechies, Ingrid; Maes, Stéphane 27 1996 Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024Daubechies, Ingrid; Lagarias, Jeffrey C. 26 2001 On the stability of arbitrary biorthogonal wavelet packets. Zbl 0792.42020Cohen, A.; Daubechies, I. 26 1993 On the thermodynamic formalism for multifractal functions. Zbl 0843.58091Daubechies, Ingrid; Lagarias, Jeffrey C. 25 1994 Quantum-mechanical path integrals with Wiener measure for all polynomials Hamiltonians. II. Zbl 0979.81517Daubechies, Ingrid; Klauder, John R. 24 1985 The canonical dual frame of a wavelet frame. Zbl 1013.42023Daubechies, Ingrid; Han, Bin 24 2002 Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G. 24 2022 Stable phase retrieval in infinite dimensions. Zbl 1440.94010Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie 23 2019 On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005Unser, Michael; Daubechies, Ingrid 22 1997 On the distributions corresponding to bounded operators in the Weyl quantization. Zbl 0451.47059Daubechies, Ingrid 21 1980 On the importance of combining wavelet-based nonlinear approximation with coding strategies. Zbl 1061.94004Cohen, Albert; Daubechies, Ingrid; Guleryuz, Onur G. 20 2002 ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform. Zbl 1353.42031Daubechies, Ingrid; Wang, Yi; Wu, Hau-tieng 20 2016 Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique 20 2012 Two theorems on lattice expansions. Zbl 0764.42018Daubechies, I.; Janssen, A. J. E. M. 19 1993 Wiener measures for path integrals with affine kinematic variables. Zbl 0615.58008Daubechies, Ingrid; Klauder, John R.; Paul, Thierry 17 1987 Commutation for irregular subdivision. Zbl 0994.42019Daubechies, Ingrid; Guskov, Igor; Sweldens, Wim 16 2001 A/D conversion with imperfect quantizers. Zbl 1231.94036Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A. 16 2006 Continuity statements and counterintuitive examples in connection with Weyl quantization. Zbl 0541.44001Daubechies, Ingrid 15 1983 Wavelets and their applications. Zbl 0782.00087 14 1992 Quantum mechanical path integrals with Wiener measures for all polynomials Hamiltonians. Zbl 0979.81518Klauder, John R.; Daubechies, Ingrid 13 1984 Coherent states and projective representation of the linear canonical transformations. Zbl 0453.22012Daubechies, Ingrid 13 1980 Wavelets on irregular point sets. Zbl 0945.42019Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim 13 1999 Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames. Zbl 1380.42024Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Thakur, Gaurav 13 2017 The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay 12 2000 Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator. Zbl 0829.42021Daubechies, Ingrid 12 1994 Sparsity-enforcing regularisation and ISTA revisited. Zbl 1402.65048Daubechies, Ingrid; Defrise, Michel; De Mol, Christine 12 2016 Conformal Wasserstein distances: comparing surfaces in polynomial time. Zbl 1217.53026Lipman, Y.; Daubechies, I. 11 2011 A characterization of subsystems in physics. Zbl 0451.03025Aerts, Dirk; Daubechies, Ingrid 10 1979 One or two frequencies? The synchrosqueezing answers. Zbl 1234.94018Wu, Hau-Tieng; Flandrin, Patrick; Daubechies, Ingrid 10 2011 The pros and cons of democracy. Zbl 1061.94014Calderbank, A. R.; Daubechies, I. 9 2002 A decay theorem for refinable functions. Zbl 0851.42027Daubechies, I.; Huang, Y. 9 1994 A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation. Zbl 0451.03026Aerts, 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 The Golden ratio encoder. Zbl 1366.94231Daubechies, Ingrid; Güntürk, Sinan; Wang, Yang; Yılmaz, Özgür 8 2010 Ten lectures on wavelets. Transl. from the English by E. V. Mishchenko, ed. by A. P. Petukhov. (Desyat’ lektsij po vejvletam.) Zbl 1006.42030Daubechies, Ingrid 7 2001 A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099Daubechies, Ingrid; Runborg, Olof; Zou, Jing 7 2007 Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis. Zbl 1085.65128Zou, Jing; Gilbert, Anna; Strauss, Martin; Daubechies, Ingrid 7 2006 Robust and practical analog-to-digital conversion with exponential precision. Zbl 1231.94037Daubechies, Ingrid; Yılmaz, Özgür 6 2006 A tale of two bases: local-nonlocal regularization on image patches with convolution framelets. Zbl 1375.94029Yin, Rujie; Gao, Tingran; Lu, Yue M.; Daubechies, Ingrid 6 2017 Recursive diffeomorphism-based regression for shape functions. Zbl 1381.65104Xu, Jieren; Yang, Haizhao; Daubechies, Ingrid 6 2018 Conformal Wasserstein distance: II. Computational aspects and extensions. Zbl 1281.65034Lipman, Y.; Puente, J.; Daubechies, I. 6 2013 Continuous Procrustes distance between two surfaces. Zbl 1276.68157Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron 6 2013 Using Fredholm determinants to estimate the smoothness of refinable functions. Zbl 0927.42016Daubechies, Ingrid 5 1995 Wavelet transforms and orthonormal wavelet bases. Zbl 0802.42025Daubechies, Ingrid 5 1993 The dynamics of adaboost: cyclic behavior and convergence of margins. Zbl 1222.68293Rudin, Cynthia; Daubechies, Ingrid; Schapire, Robert E. 5 2004 Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. Zbl 0792.42019Cohen, A.; Daubechies, Ingrid 4 1993 How does truncation of the mask affect a refinable function? Zbl 0874.42025Daubechies, Ingrid; Huang, Ying 4 1995 Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. Zbl 1231.94041Cvetkovic, Zoran; Daubechies, Ingrid; Logan, Benjamin F. 4 2007 Wiener measures for quantum mechanical path integrals. Zbl 0496.60066Klauder, John R.; Daubechies, Ingrid 4 1982 Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin 4 1991 An iteratively reweighted least squares algorithm for sparse regularization. Zbl 1392.65074Voronin, Sergey; Daubechies, Ingrid 4 2017 Factoring wavelet transforms into lifting steps. Zbl 0963.65154Daubechies, Ingrid; Sweldens, Wim 3 2000 How smooth is the smoothest function in a given refinable space? Zbl 0901.46024Cohen, Albert; Daubechies, Ingrid; Ron, Amos 3 1996 Nonlinear regularization techniques for seismic tomography. Zbl 1182.86003Loris, I.; Douma, H.; Nolet, G.; Daubechies, I.; Regone, C. 3 2010 Analysis of boosting algorithms using the smooth margin function. Zbl 1132.68827Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid 3 2007 Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001Balan, Radu; Daubechies, Ingrid 3 2003 Gaussian process landmarking on manifolds. Zbl 1499.60114Gao, Tingran; Kovalsky, Shahar Z.; Daubechies, Ingrid 3 2019 Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng 3 2021 Robust and resource efficient identification of shallow neural networks by fewest samples. Zbl 07409391Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid 3 2021 Boosting based on a smooth margin. Zbl 1078.68724Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid 2 2004 Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G. 24 2022 Stable phase retrieval from locally stable and conditionally connected measurements. Zbl 1471.94008Cheng, Cheng; Daubechies, Ingrid; Dym, Nadav; Lu, Jianfeng 3 2021 Robust and resource efficient identification of shallow neural networks by fewest samples. Zbl 07409391Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid 3 2021 Stable phase retrieval in infinite dimensions. Zbl 1440.94010Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie 23 2019 Gaussian process landmarking on manifolds. Zbl 1499.60114Gao, Tingran; Kovalsky, Shahar Z.; Daubechies, Ingrid 3 2019 Gaussian process landmarking for three-dimensional geometric morphometrics. Zbl 1499.60113Gao, Tingran; Kovalsky, Shahar Z.; Boyer, Doug M.; Daubechies, Ingrid 2 2019 Recursive diffeomorphism-based regression for shape functions. Zbl 1381.65104Xu, Jieren; Yang, Haizhao; Daubechies, Ingrid 6 2018 Directional wavelet bases constructions with dyadic quincunx subsampling. Zbl 1409.42029Yin, Rujie; Daubechies, Ingrid 1 2018 Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames. Zbl 1380.42024Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Thakur, Gaurav 13 2017 A tale of two bases: local-nonlocal regularization on image patches with convolution framelets. Zbl 1375.94029Yin, Rujie; Gao, Tingran; Lu, Yue M.; Daubechies, Ingrid 6 2017 An iteratively reweighted least squares algorithm for sparse regularization. Zbl 1392.65074Voronin, Sergey; Daubechies, Ingrid 4 2017 Removal of canvas patterns in digital acquisitions of paintings. Zbl 1409.94095Cornelis, Bruno; Yang, Haizhao; Goodfriend, Alex; Ocon, Noelle; Lu, Jianfeng; Daubechies, Ingrid 2 2017 Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid 36 2016 ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform. Zbl 1353.42031Daubechies, Ingrid; Wang, Yi; Wu, Hau-tieng 20 2016 Sparsity-enforcing regularisation and ISTA revisited. Zbl 1402.65048Daubechies, Ingrid; Defrise, Michel; De Mol, Christine 12 2016 Adaptive data analysis: theory and applications. Theme issue. Zbl 1354.00073 1 2016 Removing cradle artifacts in X-ray images of paintings. Zbl 1381.94030Yin, Rujie; Cornelis, Bruno; Fodor, Gabor; Ocon, Noelle; Dunson, David; Daubechies, Ingrid 1 2016 Conformal Wasserstein distance: II. Computational aspects and extensions. Zbl 1281.65034Lipman, Y.; Puente, J.; Daubechies, I. 6 2013 Continuous Procrustes distance between two surfaces. Zbl 1276.68157Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron 6 2013 Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique 20 2012 Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng 80 2011 Conformal Wasserstein distances: comparing surfaces in polynomial time. Zbl 1217.53026Lipman, Y.; Daubechies, I. 11 2011 One or two frequencies? The synchrosqueezing answers. Zbl 1234.94018Wu, Hau-Tieng; Flandrin, Patrick; Daubechies, Ingrid 10 2011 Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan 160 2010 The Golden ratio encoder. Zbl 1366.94231Daubechies, Ingrid; Güntürk, Sinan; Wang, Yang; Yılmaz, Özgür 8 2010 Nonlinear regularization techniques for seismic tomography. Zbl 1182.86003Loris, I.; Douma, H.; Nolet, G.; Daubechies, I.; Regone, C. 3 2010 Sparse and stable Markowitz portfolios. Zbl 1203.91271Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace 109 2009 Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace 36 2008 Iteratively solving linear inverse problems under general convex constraints. Zbl 1123.65044Daubechies, Ingrid; Teschke, Gerd; Vese, Luminita 39 2007 A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099Daubechies, Ingrid; Runborg, Olof; Zou, Jing 7 2007 Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. Zbl 1231.94041Cvetkovic, Zoran; Daubechies, Ingrid; Logan, Benjamin F. 4 2007 Analysis of boosting algorithms using the smooth margin function. Zbl 1132.68827Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid 3 2007 Precise statements of convergence for AdaBoost and arc-gv. Zbl 1141.68722Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid 1 2007 A/D conversion with imperfect quantizers. Zbl 1231.94036Daubechies, 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 1085.65128Zou, Jing; Gilbert, Anna; Strauss, Martin; Daubechies, Ingrid 7 2006 Robust and practical analog-to-digital conversion with exponential precision. Zbl 1231.94037Daubechies, 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 1245.94013Anthoine, S.; Pierpaoli, E.; Daubechies, I. 1 2006 Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising. Zbl 1079.68104Daubechies, I.; Teschke, G. 41 2005 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055Daubechies, Ingrid; Defrise, Michel; De Mol, Christine 595 2004 Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025Daubechies, Ingrid; Han, Bin 67 2004 Normal multiresolution approximation of curves. Zbl 1051.42025Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 30 2004 The dynamics of adaboost: cyclic behavior and convergence of margins. Zbl 1222.68293Rudin, Cynthia; Daubechies, Ingrid; Schapire, Robert E. 5 2004 Boosting based on a smooth margin. Zbl 1078.68724Rudin, Cynthia; Schapire, Robert E.; Daubechies, Ingrid 2 2004 Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei 321 2003 Harmonic analysis of the space BV. Zbl 1044.42028Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald 53 2003 Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order. Zbl 1058.94004Daubechies, Ingrid; DeVore, Ronald 53 2003 Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001Balan, Radu; Daubechies, Ingrid 3 2003 The canonical dual frame of a wavelet frame. Zbl 1013.42023Daubechies, Ingrid; Han, Bin 24 2002 On the importance of combining wavelet-based nonlinear approximation with coding strategies. Zbl 1061.94004Cohen, Albert; Daubechies, Ingrid; Guleryuz, Onur G. 20 2002 The pros and cons of democracy. Zbl 1061.94014Calderbank, A. R.; Daubechies, I. 9 2002 Adaptive Gabor transforms. Zbl 1032.94001Daubechies, Ingrid; Planchon, Fabrice 2 2002 Tree approximation and optimal encoding. Zbl 0992.65151Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald 46 2001 Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024Daubechies, Ingrid; Lagarias, Jeffrey C. 26 2001 Commutation for irregular subdivision. Zbl 0994.42019Daubechies, 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 1006.42030Daubechies, Ingrid 7 2001 The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay 12 2000 Factoring wavelet transforms into lifting steps. Zbl 0963.65154Daubechies, Ingrid; Sweldens, Wim 3 2000 Regularity of irregular subdivision. Zbl 0957.42022Daubechies, I.; Guskov, I.; Sweldens, W. 33 1999 Wavelets on irregular point sets. Zbl 0945.42019Daubechies, Ingrid; Guskov, Igor; Schröder, Peter; Sweldens, Wim 13 1999 Harmonic analysis, wavelets and applications. Zbl 0931.42017Daubechies, Ingrid C.; Gilbert, Anna C. 2 1999 Factoring wavelet transforms into lifting steps. Zbl 0913.42027Daubechies, Ingrid; Sweldens, Wim 86 1998 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 41 1998 Wavelet transforms that map integers to integers. Zbl 0941.42017Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock 32 1998 Regularity of refinable function vectors. Zbl 0914.42025Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind 45 1997 On the approximation power of convolution-based least squares versus interpolation. Zbl 0879.94005Unser, Michael; Daubechies, Ingrid 22 1997 From the original framer to present-day time-frequency and time-scale frames. Zbl 0903.42013Daubechies, Ingrid 1 1997 A new technique to estimate the regularity of refinable functions. Zbl 0879.65102Cohen, Albert; Daubechies, Ingrid 42 1996 A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models. Zbl 0848.92003Daubechies, Ingrid; Maes, Stéphane 27 1996 How smooth is the smoothest function in a given refinable space? Zbl 0901.46024Cohen, Albert; Daubechies, Ingrid; Ron, Amos 3 1996 Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018Daubechies, Ingrid; Landau, H. J.; Landau, Zeph 81 1995 Using Fredholm determinants to estimate the smoothness of refinable functions. Zbl 0927.42016Daubechies, Ingrid 5 1995 How does truncation of the mask affect a refinable function? Zbl 0874.42025Daubechies, Ingrid; Huang, Ying 4 1995 Wavelets and other phase space localization methods. Zbl 0845.42012Daubechies, Ingrid 1 1995 On the thermodynamic formalism for multifractal functions. Zbl 0843.58091Daubechies, Ingrid; Lagarias, Jeffrey C. 25 1994 Two recent results on wavelets: Wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator. Zbl 0829.42021Daubechies, Ingrid 12 1994 A decay theorem for refinable functions. Zbl 0851.42027Daubechies, I.; Huang, Y. 9 1994 Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018Cohen, Albert; Daubechies, Ingrid; Vial, Pierre 295 1993 Non-separable bidimensional wavelet bases. Zbl 0792.42021Cohen, Albert; Daubechies, Ingrid 69 1993 Orthonormal bases of compactly supported wavelets. II: Variations on a theme. Zbl 0792.42018Daubechies, Ingrid 31 1993 Multiresolution analysis, wavelets and fast algorithms on an interval. Zbl 0768.42015Cohen, Albert; Daubechies, Ingrid; Jawerth, Bjorn; Vial, Pierre 28 1993 On the stability of arbitrary biorthogonal wavelet packets. Zbl 0792.42020Cohen, A.; Daubechies, I. 26 1993 Two theorems on lattice expansions. Zbl 0764.42018Daubechies, I.; Janssen, A. J. E. M. 19 1993 Wavelet transforms and orthonormal wavelet bases. Zbl 0802.42025Daubechies, Ingrid 5 1993 Orthonormal bases of compactly supported wavelets. III: Better frequency resolution. Zbl 0792.42019Cohen, A.; Daubechies, Ingrid 4 1993 Wavelets on the interval. Zbl 0925.42017Daubechies, 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 0776.42018Daubechies, Ingrid 3,034 1992 Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C. 411 1992 Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013Daubechies, Ingrid; Lagarias, Jeffrey C. 166 1992 Sets of matrices all infinite products of which converge. Zbl 0746.15015Daubechies, Ingrid; Lagarias, Jeffrey C. 147 1992 A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Zbl 0784.42022Cohen, 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 0763.42018Daubechies, Ingrid; Lagarias, Jeffrey C. 126 1991 A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin 45 1991 Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin 4 1991 The wavelet transform, time-frequency localization and signal analysis. Zbl 0738.94004Daubechies, Ingrid 435 1990 Orthogonal bases of wavelets with finite support – connection with discrete filters. Zbl 0850.42013Daubechies, I. 2 1989 Orthonormal bases of compactly supported wavelets. Zbl 0644.42026Daubechies, Ingrid 790 1988 Time-frequency localization operators: A geometric phase space approach. Zbl 0672.42007Daubechies, Ingrid 161 1988 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,783 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 30 Chesneau, Christophe 29 Amat, Sergio P. 29 Kutyniok, Gitta 27 Mejjaoli, Hatem 26 Dahlke, Stephan 26 Han, Deguang 26 Li, Song 25 Jiang, Qingtang 24 Dong, Bin 24 Yang, Shouzhi 23 Grohs, Philipp 22 Cohen, Albert 22 Fornasier, Massimo 22 Guo, Xunxiang 21 Dutkay, Dorin Ervin 21 Heil, Christopher E. 21 Kim, Hong Oh 21 Wu, Hau-Tieng 20 Dahmen, Wolfgang A. 20 Liandrat, Jacques 20 Plonka, Gerlind 20 Vashisht, Lalit Kumar 19 Benedetto, John Joseph 19 Charina, Maria 19 Jia, Rong-Qing 19 Protasov, Vladimir Yu. 19 Wang, Yang 19 Zhuang, Xiaosheng 18 Ben Slimane, Mourad 18 Chen, Dirong 18 Ji, Hui 18 Liu, Youming 18 Maass, Peter 18 Zhou, Xingwei 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 17 San Antolín, Angel 17 Xu, Yuesheng 16 Abreu, Luís Daniel 16 Antoine, Jean-Pierre 16 Balazs, Peter 16 Cattani, Carlo 16 Cheng, Zhengxing 16 DeVore, Ronald A. 16 Dyn, Nira 16 Huang, Yongdong 16 Li, Linyuan 16 Powell, Alexander M. 16 Wong, Man Wah 15 Bownik, Marcin 15 Luef, Franz 15 Zhou, Dingxuan 14 Bertoluzza, Silvia 14 Feichtinger, Hans Georg 14 Gabardo, Jean-Pierre 14 Guglielmi, Nicola 14 Huang, Ting-Zhu 14 Lemvig, Jakob 14 Nielsen, Morten 14 Ramlau, Ronny 14 Romero, José Luis 14 Shen, Lixin 14 Shi, Xianliang 14 Stöckler, Joachim 14 Walter, Gilbert G. 14 Zhang, Zhihua 13 Antoniadis, Anestis 13 Cai, Jian-Feng 13 Harbrecht, Helmut 13 Jaffard, Stéphane 13 Klauder, John Rider 13 Osher, Stanley Joel 13 Rahimi, Asghar 13 Schneider, Kai 13 Schneider, Reinhold 13 Toda, Hirosi 13 Trillo, Juan Carlos 12 Ahmad, Owais 12 Aràndiga, Francesc 12 Arefijamaal, Ali Akbar 12 Ayache, Antoine 12 Kozyakin, Viktor Sergeevich 12 Leng, Jinsong 12 Lieb, Elliott Hershel ...and 7,683 more Authors all top 5 Cited in 689 Serials 491 Applied and Computational Harmonic Analysis 316 International Journal of Wavelets, Multiresolution and Information Processing 185 The Journal of Fourier Analysis and Applications 135 Journal of Mathematical Analysis and Applications 125 Applied Mathematics and Computation 123 Journal of Computational and Applied Mathematics 108 Journal of Approximation Theory 108 Linear Algebra and its Applications 108 Advances in Computational Mathematics 89 Journal of Mathematical Physics 86 Journal of Computational Physics 65 Proceedings of the American Mathematical Society 64 Journal of Functional Analysis 62 Journal of Mathematical Imaging and Vision 61 Inverse Problems 61 The Annals of Statistics 52 Computers & Mathematics with Applications 52 Numerical Functional Analysis and Optimization 51 Constructive Approximation 49 Mathematics of Computation 48 Journal of Pseudo-Differential Operators and Applications 44 Applicable Analysis 44 Chaos, Solitons and Fractals 44 Journal of Scientific Computing 44 Mathematical Problems in Engineering 41 Transactions of the American Mathematical Society 41 Journal of Inequalities and Applications 41 SIAM Journal on Imaging Sciences 40 Acta Mathematica Sinica. 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Simulation and Computation 13 Optimization Methods & Software ...and 589 more Serials all top 5 Cited in 61 Fields 3,011 Harmonic analysis on Euclidean spaces (42-XX) 2,183 Numerical analysis (65-XX) 1,189 Information and communication theory, circuits (94-XX) 873 Statistics (62-XX) 656 Functional analysis (46-XX) 563 Approximations and expansions (41-XX) 527 Computer science (68-XX) 491 Partial differential equations (35-XX) 480 Operator theory (47-XX) 377 Operations research, mathematical programming (90-XX) 291 Probability theory and stochastic processes (60-XX) 253 Quantum theory (81-XX) 210 Biology and other natural sciences (92-XX) 205 Linear and multilinear algebra; matrix theory (15-XX) 169 Fluid mechanics (76-XX) 168 Calculus of variations and optimal control; optimization (49-XX) 163 Systems theory; control (93-XX) 161 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 153 Abstract harmonic analysis (43-XX) 132 Integral transforms, operational calculus (44-XX) 125 Dynamical systems and ergodic theory (37-XX) 119 Real functions (26-XX) 114 Measure and integration (28-XX) 103 Integral equations (45-XX) 97 Mechanics of deformable solids (74-XX) 77 Number theory (11-XX) 75 Topological groups, Lie groups (22-XX) 70 Ordinary differential equations (34-XX) 69 Optics, electromagnetic theory (78-XX) 67 Special functions (33-XX) 58 Geophysics (86-XX) 57 Functions of a complex variable (30-XX) 53 Difference and functional equations (39-XX) 46 Statistical mechanics, structure of matter (82-XX) 40 Global analysis, analysis on manifolds (58-XX) 36 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) 16 Relativity and gravitational theory (83-XX) 16 Astronomy and astrophysics (85-XX) 15 General and overarching topics; collections (00-XX) 15 Group theory and generalizations (20-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Mathematical logic and foundations (03-XX) 12 Potential theory (31-XX) 11 General topology (54-XX) 9 Algebraic geometry (14-XX) 9 Manifolds and cell complexes (57-XX) 7 Geometry (51-XX) 7 Mathematics education (97-XX) 5 History and biography (01-XX) 5 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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