Math @ Duke

Papers Published
 Daubechies, I, An application of hyperdifferential operators to holomorphic quantization,
Letters in Mathematical Physics, vol. 2 no. 6
(November, 1978),
pp. 459469, Springer Nature America, Inc, ISSN 03779017 [doi] [abs]
 Aerts, D; Daubechies, I, A characterization of subsystems in physics,
Letters in Mathematical Physics, vol. 3 no. 1
(January, 1979),
pp. 1117, Springer Nature, ISSN 03779017 [doi] [abs]
 Aerts, D; Daubechies, I, A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation,
Letters in Mathematical Physics, vol. 3 no. 1
(January, 1979),
pp. 1927, Springer Nature, ISSN 03779017 [doi] [abs]
 Daubechies, I; Grossmann, A, An integral transform related to quantization,
Journal of Mathematical Physics, vol. 21 no. 8
(December, 1979),
pp. 20802090, AIP Publishing, ISSN 00222488 [doi] [abs]
 Daubechies, I, On the distributions corresponding to bounded operators in the Weyl quantization,
Communications in Mathematical Physics, vol. 75 no. 3
(October, 1980),
pp. 229238, Springer Nature, ISSN 00103616 [doi] [abs]
 Daubechies, I; Klauder, JR, Constructing measures for path integrals,
Journal of Mathematical Physics, vol. 23 no. 10
(December, 1981),
pp. 18061822, AIP Publishing, ISSN 00222488 [doi] [abs]
 Klauder, JR; Daubechies, I, Measures for path integrals,
Physical Review Letters, vol. 48 no. 3
(January, 1982),
pp. 117120, ISSN 00319007 [doi] [abs]
 Daubechies, I, Continuity statements and counterintuitive examples in connection with Weyl quantization,
Journal of Mathematical Physics, vol. 24 no. 6
(December, 1982),
pp. 14531461, AIP Publishing, ISSN 00222488 [doi] [abs]
 Daubechies, I; Grossmann, A; Reignier, J, An integral transform related to quantization. II. Some mathematical properties,
Journal of Mathematical Physics, vol. 24 no. 2
(December, 1982),
pp. 239254, AIP Publishing, ISSN 00222488 [doi] [abs]
 Daubechies, I; Klauder, JR, Measures for more quadratic path integrals,
Letters in Mathematical Physics, vol. 7 no. 3
(May, 1983),
pp. 229234, Springer Nature America, Inc, ISSN 03779017 [doi] [abs]
 Daubechies, I, An uncertainty principle for fermions with generalized kinetic energy,
Communications in Mathematical Physics, vol. 90 no. 4
(December, 1983),
pp. 511520, Springer Nature, ISSN 00103616 [doi] [abs]
 Daubechies, I; Lieb, EH, Oneelectron relativistic molecules with Coulomb interaction,
Communications in Mathematical Physics, vol. 90 no. 4
(December, 1983),
pp. 497510, Springer Nature, ISSN 00103616 [doi] [abs]
 Klauder, JR; Daubechies, I, Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians,
Physical Review Letters, vol. 52 no. 14
(January, 1984),
pp. 11611164, American Physical Society (APS), ISSN 00319007 [doi] [abs]
 Daubechies, I; Lieb, EH, Relativistic Molecules with Coulomb Interaction,
NorthHolland Mathematics Studies, vol. 92 no. C
(January, 1984),
pp. 143148, Elsevier, ISSN 03040208 [doi] [abs]
 Daubechies, I, One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum,
Communications in Mathematical Physics, vol. 94 no. 4
(December, 1984),
pp. 523535, Springer Nature, ISSN 00103616 [doi] [abs]
 Daubechies, I; Klauder, JR, Quantummechanical path integrals with Wiener measure for all polynomial Hamiltonians. II,
Journal of Mathematical Physics, vol. 26 no. 9
(January, 1985),
pp. 22392256, AIP Publishing, ISSN 00222488 [doi] [abs]
 Daubechies, I; Grossmann, A; Meyer, Y, Painless nonorthogonal expansions,
Journal of Mathematical Physics, vol. 27 no. 5
(January, 1986),
pp. 12711283, AIP Publishing, ISSN 00222488 [doi] [abs]
 Daubechies, I; Klauder, JR; Paul, T, Wiener measures for path integrals with affine kinematic variables,
Journal of Mathematical Physics, vol. 28 no. 1
(January, 1987),
pp. 85102, AIP Publishing, ISSN 00222488 [doi] [abs]
 Daubechies, I, TimeFrequency Localization Operators: A Geometric Phase Space Approach,
Ieee Transactions on Information Theory, vol. 34 no. 4
(January, 1988),
pp. 605612, Institute of Electrical and Electronics Engineers (IEEE) [doi] [abs]
 Daubechies, I, Orthonormal bases of compactly supported wavelets,
Communications on Pure and Applied Mathematics, vol. 41 no. 7
(January, 1988),
pp. 909996, WILEY [doi] [abs]
 Daubechies, I; Grossmann, A, Frames in the bargmann space of entire functions,
Communications on Pure and Applied Mathematics, vol. 41 no. 2
(January, 1988),
pp. 151164, WILEY [doi] [abs]
 Daubechies, I; Paul, T, Timefrequency localisation operatorsa geometric phase space approach: II. The use of dilations,
Inverse Problems, vol. 4 no. 3
(December, 1988),
pp. 661680, IOP Publishing, ISSN 02665611 [doi] [abs]
 Daubechies, I, Wavelet transform, timefrequency localization and signal analysis, vol. 25 n 13
(December, 1988),
pp. 42 [abs]
 Daubechies, I, Wavelets: A tool for timefrequency analysis
(December, 1989),
pp. 98 [abs]
 Daubechies, I, The Wavelet Transform, TimeFrequency Localization and Signal Analysis,
Ieee Transactions on Information Theory, vol. 36 no. 5
(January, 1990),
pp. 9611005, Institute of Electrical and Electronics Engineers (IEEE) [doi] [abs]
 Antonini, M; Barlaud, M; Mathieu, P; Daubechies, I, Image coding using vector quantization in the wavelet transform domain,
Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings, vol. 4
(December, 1990),
pp. 22972300, IEEE [doi] [abs]
 Antonini, M; Barlaud, M; Mathieu, P; Daubechies, I, Image coding using wavelet transform.,
Ieee Transactions on Image Processing : a Publication of the Ieee Signal Processing Society, vol. 1 no. 2
(January, 1992),
pp. 205220, ISSN 10577149 [18296155], [doi] [abs]
 Cohen, A; Daubechies, I; Feauveau, J, Biorthogonal bases of compactly supported wavelets,
Communications on Pure and Applied Mathematics, vol. 45 no. 5
(January, 1992),
pp. 485560, WILEY [doi] [abs]
 Moayeri, N; Daubechies, I; Song, Q; Wang, HS, Wavelet transform image coding using trellis coded vector quantization,
2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), vol. 4
(January, 1992),
pp. 405408, IEEE, ISBN 0780305329 [doi] [abs]
 Cohen, A; Daubechies, I, A stability criterion for biorthogonal wavelet bases and their related subband coding scheme,
Duke Mathematical Journal, vol. 68 no. 2
(January, 1992),
pp. 313335, Duke University Press, ISSN 00127094 [doi]
 Daubechies, I; Lagarias, JC, Sets of matrices all infinite products of which converge,
Linear Algebra and Its Applications, vol. 161 no. C
(January, 1992),
pp. 227263, ISSN 00243795 [doi] [abs]
 Daubechies, I, Two Theorems on Lattice Expansions,
Ieee Transactions on Information Theory, vol. 39 no. 1
(January, 1993),
pp. 36 [doi] [abs]
 Cohen, A; Daubechies, I; Vial, P, Wavelets on the interval and fast wavelet transforms,
Applied and Computational Harmonic Analysis, vol. 1 no. 1
(January, 1993),
pp. 5481, Elsevier BV [doi] [abs]
 Daubechies, I; Huang, Y, A decay theorem for refinable functions,
Applied Mathematics Letters, vol. 7 no. 4
(January, 1994),
pp. 14, Elsevier BV, ISSN 08939659 [doi] [abs]
 Daubechies, I; Landau, HJ; Landau, Z, Gabor TimeFrequency Lattices and the WexlerRaz Identity,
Journal of Fourier Analysis and Applications, vol. 1 no. 4
(January, 1994),
pp. 437478, Springer Nature, ISSN 10695869 [doi] [abs]
 Daubechies, I, Two Recent Results on Wavelets: Wavelet Bases for the Interval, and Biorthogonal Wavelets Diagonalizing the Derivative Operator,
Wavelet Analysis and Its Applications, vol. 3 no. C
(January, 1994),
pp. 237257 [doi] [abs]
 Friedlander, S; Birman, JS; Daubechies, I, A celebration or women in mathematics,
Notices of the American Mathematical Society, vol. 42 no. 1
(January, 1995),
pp. 3242, ISSN 00029920
 Daubechies, I; Huang, Y, How does truncation of the mask affect a refinable function?,
Constructive Approximation, vol. 11 no. 3
(September, 1995),
pp. 365380, Springer Nature, ISSN 01764276 [doi] [abs]
 Cohen, A; Daubechies, I; Ron, A, How smooth is the smoothest function in a given refinable space?,
Applied and Computational Harmonic Analysis, vol. 3 no. 1
(January, 1996),
pp. 8789, Elsevier BV [doi]
 Cohen, A; Daubechies, I, A new technique to estimate the regularity of refinable functions,
Revista Matemática Iberoamericana, vol. 12 no. 2
(January, 1996),
pp. 527591, European Mathematical Publishing House [doi] [abs]
 Daubechies, I, Where do wavelets come from?  a personal point of view,
Proceedings of the Ieee, vol. 84 no. 4
(April, 1996),
pp. 510513, Institute of Electrical and Electronics Engineers (IEEE) [doi] [abs]
 Unser, M; Daubechies, I, On the approximation power of convolutionbased least squares versus interpolation,
Ieee Transactions on Signal Processing, vol. 45 no. 7
(December, 1997),
pp. 16971711, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1053587X [doi] [abs]
 ChassandeMottin, E; Daubechies, I; Auger, F; Flandrin, P, Differential reassignment,
Ieee Signal Processing Letters, vol. 4 no. 10
(December, 1997),
pp. 293294, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10709908 [doi] [abs]
 Cohen, A; Daubechies, I; Plonka, G, Regularity of Refinable Function Vectors,
Journal of Fourier Analysis and Applications, vol. 3 no. 3
(December, 1997),
pp. x4323 [abs]
 Daubechies, I, From the Original Framer to PresentDay TimeFreuency and TimeScale Frames,
Journal of Fourier Analysis and Applications, vol. 3 no. 5
(December, 1997),
pp. x1486
 Calderbank, AR; Daubechies, I; Sweldens, W; Yeo, BL, Lossless image compression using integer to integer wavelet transforms,
Ieee International Conference on Image Processing, vol. 1
(December, 1997),
pp. 596599, IEEE Comput. Soc [doi] [abs]
 Daubechies, I, Recent results in wavelet applications,
Journal of Electronic Imaging, vol. 7 no. 4
(January, 1998),
pp. 719724, SPIEIntl Soc Optical Eng, ISSN 10179909 [doi] [abs]
 Calderbank, AR; Daubechies, I; Sweldens, W; Yeo, BL, Wavelet Transforms That Map Integers to Integers,
Applied and Computational Harmonic Analysis, vol. 5 no. 3
(January, 1998),
pp. 332369, Elsevier BV [doi] [abs]
 Donoho, DL; Vetterli, M; Devore, RA; Daubechies, I, Data compression and harmonic analysis,
Ieee Transactions on Information Theory, vol. 44 no. 6
(December, 1998),
pp. 24352476, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Daubechies, I; Sweldens, W, Factoring Wavelet Transforms into Lifting Steps,
Journal of Fourier Analysis and Applications, vol. 4 no. 3
(December, 1998),
pp. x1268 [abs]
 Daubechies, I, Preface,
Wavelet Analysis and Its Applications, vol. 9 no. C
(December, 1998),
pp. 5, ISSN 1874608X [doi]
 Daubechies, I; Guskov, I; Schröder, P; Sweldens, W, Wavelets on irregular point sets,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 357 no. 1760
(January, 1999),
pp. 23972413, The Royal Society, ISSN 1364503X [doi] [abs]
 Daubechies, I; Guskov, I; Sweldens, W, Regularity of irregular subdivision,
Constructive Approximation, vol. 15 no. 3
(January, 1999),
pp. 381426 [doi] [abs]
 Cvetkovic, Z; Daubechies, I, Singlebit oversampled A/D conversion with exponential accuracy in the bitrate,
Data Compression Conference Proceedings
(January, 2000),
pp. 343352, IEEE Comput. Soc, ISSN 10680314 [doi] [abs]
 Balan, R; Daubechies, I; Vaishampayan, V, The analysis and design of windowed fourier frame based multiple description source coding schemes,
Ieee Transactions on Information Theory, vol. 46 no. 7
(December, 2000),
pp. 24912536, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Cohen, A; Dahmen, W; Daubechies, I; Devore, R, Tree Approximation and Optimal Encoding,
Applied and Computational Harmonic Analysis, vol. 11 no. 2
(September, 2001),
pp. 192226, Elsevier BV [doi] [abs]
 Daubechies, I; Guskov, I; Sweldens, W, Commutation for irregular subdivision,
Constructive Approximation, vol. 17 no. 4
(December, 2001),
pp. 479513, Springer Nature [doi] [abs]
 Daubechies, I; DeVore, R; Güntürk, CS; Vaishampayan, VA, Beta expansions: A new approach to digitally corrected A/D conversion,
Proceedings Ieee International Symposium on Circuits and Systems, vol. 2
(January, 2002),
pp. 784787, IEEE [doi] [abs]
 Cvetković, Z; Daubechies, I; Logan, BF, Interpolation of bandlimited functions from quantized irregular samples,
Data Compression Conference Proceedings, vol. 2002January
(January, 2002),
pp. 412421, IEEE Comput. Soc, ISBN 0769514774 [doi] [abs]
 Daubechies, I; Han, B, The canonical dual frame of a wavelet frame,
Applied and Computational Harmonic Analysis, vol. 12 no. 3
(May, 2002),
pp. 269285, ISSN 10635203 [doi] [abs]
 Calderbank, AR; Daubechies, I, The pros and cons of democracy,
Ieee Transactions on Information Theory, vol. 48 no. 6
(June, 2002),
pp. 17211725, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Daubechies, I; Planchon, F, Adaptive Gabor transforms,
Applied and Computational Harmonic Analysis, vol. 13 no. 1
(July, 2002),
pp. 121, Elsevier BV [doi] [abs]
 Cohen, A; Daubechies, I; Guleryuz, OG; Orchard, MT, On the importance of combining waveletbased nonlinear approximation with coding strategies,
Ieee Transactions on Information Theory, vol. 48 no. 7
(July, 2002),
pp. 18951921, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Daubechies, I; Han, B; Ron, A; Shen, Z, Framelets: MRAbased constructions of wavelet frames,
Applied and Computational Harmonic Analysis, vol. 14 no. 1
(January, 2003),
pp. 146, Elsevier BV [doi] [abs]
 Cohen, A; Dahmen, W; Daubechies, I; DeVore, R, Harmonic analysis of the space BV,
Revista Matemática Iberoamericana, vol. 19 no. 1
(January, 2003),
pp. 235263, European Mathematical Publishing House [doi] [abs]
 Daubechies, I; Devore, R, Approximating a bandlimited function using very coarsely quantized data: A family of stable sigmadelta modulators of arbitrary order,
Annals of Mathematics, vol. 158 no. 2
(January, 2003),
pp. 679710, Annals of Mathematics, Princeton U, ISSN 0003486X [doi]
 Rudin, C; Daubechies, I; Schapire, RE, On the dynamics of boosting, edited by Thrun, S; Saul, LK; Schölkopf, B,
Advances in Neural Information Processing Systems
(January, 2004),
pp. 11011108, M I T PRESS, ISBN 0262201526 [advancesinneuralinformationprocessingsystems162003] [abs]
 Daubechies, I; Han, B, Pairs of dual wavelet frames from any two refinable functions,
Constructive Approximation, vol. 20 no. 3
(January, 2004),
pp. 325352, Springer Nature [doi] [abs]
 Daubechies, I; Runborg, O; Sweldens, W, Normal multiresolution approximation of curves,
Constructive Approximation, vol. 20 no. 3
(January, 2004),
pp. 399463, Springer Nature [doi] [abs]
 Daubechies, I; Teschke, G, Wavelet based image decomposition by variational functionals,
Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 5266
(May, 2004),
pp. 94105, SPIE [doi] [abs]
 Daubechies, I; Defrise, M; De Mol, C, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint,
Communications on Pure and Applied Mathematics, vol. 57 no. 11
(November, 2004),
pp. 14131457, WILEY [doi] [abs]
 Rudin, C; Daubechies, I; Schapire, RE, The dynamics of AdaBoost: Cyclic behavior and convergence of margins,
Journal of Machine Learning Research, vol. 5
(December, 2004),
pp. 15571595 [abs]
 Rudin, C; Schapire, RE; Daubechies, I, Boosting based on a smooth margin,
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3120
(December, 2004),
pp. 502517, Springer Berlin Heidelberg, ISSN 03029743 [doi] [abs]
 Daubechies, I; Lieb, EH, Oneelectron relativistic molecules with coulomb interaction
(January, 2005),
pp. 471484, Springer Verlag [doi] [abs]
 Daubechies, I; Drakakis, K; Khovanova, T, A detailed study of the attachment strategies of new autonomous systems in the as connectivity graph,
Internet Mathematics, vol. 2 no. 2
(January, 2005),
pp. 185246, Internet Mathematics [doi] [abs]
 Pierpaoli, E; Anthoine, S; Huffenberger, K; Daubechies, I, Reconstructing SunyaevZel'dovich clusters in future cosmic microwave background experiments,
Monthly Notices of the Royal Astronomical Society, vol. 359 no. 1
(May, 2005),
pp. 261271, Oxford University Press (OUP) [doi] [abs]
 Daubechies, I; Teschke, G, Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising,
Applied and Computational Harmonic Analysis, vol. 19 no. 1
(July, 2005),
pp. 116, Elsevier BV [doi] [abs]
 Roussos, E; Roberts, S; Daubechies, I, Variational Bayesian learning for wavelet independent component analysis,
Aip Conference Proceedings, vol. 803
(November, 2005),
pp. 274281, AIP, ISSN 0094243X [doi] [abs]
 Zou, J; Gilbert, A; Strauss, M; Daubechies, I, Theoretical and experimental analysis of a randomized algorithm for Sparse Fourier transform analysis,
Journal of Computational Physics, vol. 211 no. 2
(January, 2006),
pp. 572595, Elsevier BV [doi] [abs]
 Daubechies, I; DeVore, RA; Güntürk, CS; Vaishampayan, VA, A/D conversion with imperfect quantizers,
Ieee Transactions on Information Theory, vol. 52 no. 3
(March, 2006),
pp. 874885, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Daubechies, I; Yilmaz, O, Robust and practical analogtodigital conversion with exponential precision,
Ieee Transactions on Information Theory, vol. 52 no. 8
(August, 2006),
pp. 35333545, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Hughes, SM; Daubechies, I, Simpler alternatives to information theoretic similarity metrics for multimodal image alignment,
Proceedings International Conference on Image Processing, Icip
(December, 2006),
pp. 365368, IEEE, ISSN 15224880 [doi] [abs]
 Daubechies, I; Teschke, G; Vese, L, Iteratively solving linear inverse problems under general convex constraints,
Inverse Problems and Imaging, vol. 1 no. 1
(January, 2007),
pp. 2946, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
 Daubechies, I; Lazarsfeld, R; Morgan, J; Okounkov, A; Tao, T, Reply to Davey, Henriksen, Marković and Pratt [4],
Notices of the American Mathematical Society, vol. 54 no. 6
(June, 2007),
pp. 694, ISSN 00029920
 Loris, I; Nolet, G; Daubechies, I; Dahlen, FA, Tomographic inversion using ℓ1norm regularization of wavelet coefficients,
Geophysical Journal International, vol. 170 no. 1
(July, 2007),
pp. 359370, Oxford University Press (OUP), ISSN 0956540X [doi] [abs]
 Daubechies, I; Runborg, O; Zou, J, A sparse spectral method for homogenization multiscale problems,
Multiscale Modeling & Simulation, vol. 6 no. 3
(August, 2007),
pp. 711740, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [doi] [abs]
 Cvetkovic, Z; Daubechies, I; Logan, BF, Singlebit oversampled A/D conversion with exponential accuracy in the bit rate,
Ieee Transactions on Information Theory, vol. 53 no. 11
(November, 2007),
pp. 39793989, ISSN 00189448 [doi] [abs]
 Rudin, C; Schapire, RE; Daubechies, I, Analysis of boosting algorithms using the smooth margin function,
The Annals of Statistics, vol. 35 no. 6
(December, 2007),
pp. 27232768, Institute of Mathematical Statistics, ISSN 00905364 [doi] [abs]
 Daubechies, I; Teschke, G; Vese, L, On some iterative concepts for image restoration,
Advances in Imaging and Electron Physics, vol. 150
(January, 2008),
pp. 151, Elsevier, ISSN 10765670 [doi] [abs]
 Johnson, CR; Hendriks, E; Berezhnoy, IJ; Brevdo, E; Hughes, SM; Daubechies, I; Li, J; Postma, E; Wang, JZ, Image processing for artist identification: Computerized analysis of Vincent van Gogh's painting brushstrokes,
Ieee Signal Processing Magazine, vol. 25 no. 4
(January, 2008),
pp. 3748, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10535888 [doi] [abs]
 Daubechies, I; DeVore, R; Fornasier, M; Güntürk, S, Iteratively Reweighted Least Squares minimization: Proof of faster than linear rate for sparse recovery,
Ciss 2008, the 42nd Annual Conference on Information Sciences and Systems
(September, 2008),
pp. 2629, IEEE [doi] [abs]
 Daubechies, I; Fornasier, M; Loris, I, Accelerated projected gradient method for linear inverse problems with sparsity constraints,
Journal of Fourier Analysis and Applications, vol. 14 no. 56
(December, 2008),
pp. 764792, Springer Nature, ISSN 10695869 [doi] [abs]
 Polatkan, G; Jafarpour, S; Brasoveanu, A; Hughes, S; Daubechies, I, Detection of forgery in paintings using supervised learning,
Proceedings International Conference on Image Processing, Icip
(January, 2009),
pp. 29212924, IEEE, ISSN 15224880 [doi] [abs]
 Daubechies, I, The wavelet transform, timefrequency localization and signal analysis
(January, 2009),
pp. 442486 [abs]
 Daubechies, I; Grossmann, A; Meyer, Y, Painless nonorthogonal expansions
(January, 2009),
pp. 372384 [abs]
 Daubechies, I, Foreword
(January, 2009),
pp. xvxvi, ISBN 0691114536
 Daubechies, I; Roussos, E; Takerkart, S; Benharrosh, M; Golden, C; D'Ardenne, K; Richter, W; Cohen, JD; Haxby, J, Independent component analysis for brain fMRI does not select for independence.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 106 no. 26
(June, 2009),
pp. 1041510422 [19556548], [doi] [abs]
 Brodie, J; Daubechies, I; De Mol, C; Giannone, D; Loris, I, Sparse and stable Markowitz portfolios.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 106 no. 30
(July, 2009),
pp. 1226712272 [19617537], [doi] [abs]
 Jafarpour, S; Polatkan, G; Brevdo, E; Hughes, S; Brasoveanu, A; Daubechies, I, Stylistic analysis of paintings using wavelets and machine learning,
European Signal Processing Conference
(December, 2009),
pp. 12201224, ISSN 22195491 [abs]
 Daubechies, I; Devore, R; Fornasier, M; Güntürk, CS, Iteratively reweighted least squares minimization for sparse recovery,
Communications on Pure and Applied Mathematics, vol. 63 no. 1
(January, 2010),
pp. 138, WILEY, ISSN 00103640 [doi] [abs]
 Kobiler, O; Lipman, Y; Therkelsen, K; Daubechies, I; Enquist, LW, Herpesviruses carrying a Brainbow cassette reveal replication and expression of limited numbers of incoming genomes.,
Nature Communications, vol. 1
(January, 2010),
pp. 146 [21266996], [doi] [abs]
 Loris, I; Douma, H; Nolet, G; Daubechies, I; Regone, C, Nonlinear regularization techniques for seismic tomography,
Journal of Computational Physics, vol. 229 no. 3
(February, 2010),
pp. 890905, Elsevier BV, ISSN 00219991 [doi] [abs]
 Daubechies, I, Wavelets and applications
(July, 2010),
pp. 848862
 Lipman, Y; Chen, X; Daubechies, I; Funkhouser, T, Symmetry factored embedding and distance,
Acm Siggraph 2010 Papers, Siggraph 2010, vol. 29 no. 4
(July, 2010),
pp. 11, Association for Computing Machinery (ACM), ISSN 07300301 [doi] [abs]
 Daubechies, I; Güntürk, CS; Wang, Y; Yilmaz, O, The golden ratio encoder,
Ieee Transactions on Information Theory, vol. 56 no. 10
(October, 2010),
pp. 50975110, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189448 [doi] [abs]
 Daubechies, I, The work of Yves Meyer,
Proceedings of the International Congress of Mathematicians 2010, Icm 2010
(December, 2010),
pp. 114124 [abs]
 B. Cornelis, A. Dooms, I. Daubechies and P. Schelkens, Report on Digital Image Processing for Art Historians,
Sampling Theory and Applications, SampTA '09, Marseille France, May 1822, 2009
(2011)
 Daubechies, I; Lu, J; Wu, HT, Synchrosqueezed wavelet transforms: An empirical mode decompositionlike tool,
Applied and Computational Harmonic Analysis, vol. 30 no. 2
(March, 2011),
pp. 243261, Elsevier BV [0912.2437v1], [doi] [abs]
 Wu, HT; Flandrin, P; Daubechies, I, One or two frequencies? the synchrosqueezing answers,
Advances in Adaptive Data Analysis, vol. 3 no. 12
(April, 2011),
pp. 2939, World Scientific Pub Co Pte Lt, ISSN 17935369 [doi] [abs]
 Dooms, A; Daubechies, I, Wavelets
(April, 2011),
pp. 135154, WileyVCH Verlag GmbH & Co. KGaA [doi]
 Bunn, JM; Boyer, DM; Lipman, Y; St Clair, EM; Jernvall, J; Daubechies, I, Comparing Dirichlet normal surface energy of tooth crowns, a new technique of molar shape quantification for dietary inference, with previous methods in isolation and in combination.,
American Journal of Physical Anthropology, vol. 145 no. 2
(June, 2011),
pp. 247261 [21469070], [doi] [abs]
 Lipman, Y; Daubechies, I, Conformal Wasserstein distances: Comparing surfaces in polynomial time,
Advances in Mathematics, vol. 227 no. 3
(June, 2011),
pp. 10471077, Elsevier BV, ISSN 00018708 [arXiv:1103.4408v1 [math.DG]], [doi] [abs]
 Wolff, J; Martens, M; Jafarpour, S; Daubechies, I; Calderbank, R, Uncovering elements of style,
2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp)
(August, 2011),
pp. 10171020, IEEE, ISSN 15206149 [doi] [abs]
 Ružić, T; Cornelis, B; Platiša, L; Pižurica, A; Dooms, A; Philips, W; Martens, M; De Mey, M; Daubechies, I, Virtual restoration of the Ghent altarpiece using crack detection and inpainting,
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6915 LNCS
(September, 2011),
pp. 417428, Springer Berlin Heidelberg, ISSN 03029743 [doi] [abs]
 Simons, FJ; Loris, I; Nolet, G; Daubechies, IC; Voronin, S; Judd, JS; Vetter, PA; Charléty, J; Vonesch, C, Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity,
Geophysical Journal International, vol. 187 no. 2
(November, 2011),
pp. 969988, ISSN 0956540X (doi: 10.1111/j.1365246X.2011.05190.x.) [doi] [abs]
 Boyer, DM; Lipman, Y; St Clair, E; Puente, J; Patel, BA; Funkhouser, T; Jernvall, J; Daubechies, I, Algorithms to automatically quantify the geometric similarity of anatomical surfaces.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 108 no. 45
(November, 2011),
pp. 1822118226, ISSN 10916490 [arXiv:1110.3649 [math.NA]], [22025685], [doi] [abs]
 Simons, FJ; Loris, I; Brevdo, E; Daubechies, IC, Wavelets and waveletlike transforms on the sphere and their application to geophysical data inversion,
Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, vol. 8138
(November, 2011), SPIE, ISSN 0277786X [doi] [abs]
 Platiša, L; Cornells, B; Ružić, T; Pižurica, A; Dooms, A; Martens, M; De Mey, M; Daubechies, I, Spatiogram features to characterize pearls in paintings,
Proceedings International Conference on Image Processing, Icip
(December, 2011),
pp. 801804, IEEE, ISSN 15224880 [doi] [abs]
 Anitha, A; Brasoveanu, A; Duarte, MF; Hughes, SM; Daubechies, I; Dik, J; Janssens, K; Alfeld, M, Virtual underpainting reconstruction from Xray fluorescence imaging data,
European Signal Processing Conference
(December, 2011),
pp. 12391243, ISSN 22195491 [abs]
 I. Daubechies, Developing Mathematical Tools to Investigate Art,
in Bridges 2012 Proceedings, edited by Robert Bosch, Douglas McKenna, and Reza Sarhangi
(2012), Jacobs Publishing, http://www.mathartfun.com [abs]
 Cohen, A; Daubechies, I; DeVore, R; Kerkyacharian, G; Picard, D, Capturing Ridge Functions in High Dimensions from Point Queries,
Constructive Approximation, vol. 35 no. 2
(April, 2012),
pp. 225243, Springer Nature, ISSN 01764276 [doi] [abs]
 Roussos, E; Roberts, S; Daubechies, I, Variational Bayesian learning of sparse representations and its application in functional neuroimaging,
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7263 LNAI
(November, 2012),
pp. 218225, Springer Berlin Heidelberg, ISSN 03029743 [doi] [abs]
 Puente, J; Boyer, DM; Gladman, JT; Daubechies, IC, Automated approaches to geometric morphometrics.,
American Journal of Physical Anthropology, vol. 150
(January, 2013),
pp. 226226, WILEYBLACKWELL
 Lipman, Y; Puente, J; Daubechies, I, Conformal Wasserstein distance: II. Computational aspects and extensions,
Mathematics of Computation, vol. 82 no. 281
(January, 2013),
pp. 331381, American Mathematical Society (AMS) [arXiv:1103.4681v2 [math.NA]], [1103.4681v2], [doi] [abs]
 Cornelis, B; Ružić, T; Gezels, E; Dooms, A; Pižurica, A; Platiša, L; Cornelis, J; Martens, M; De Mey, M; Daubechies, I, Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece,
Signal Processing, vol. 93 no. 3
(March, 2013),
pp. 605619, Elsevier BV, ISSN 01651684 [S0165168412002526], [doi] [abs]
 Anitha, A; Brasoveanu, A; Duarte, M; Hughes, S; Daubechies, I; Dik, J; Janssens, K; Alfeld, M, Restoration of Xray fluorescence images of hidden paintings,
Signal Processing, vol. 93 no. 3
(March, 2013),
pp. 592604, Elsevier BV, ISSN 01651684 [doi] [abs]
 AlAifari, R; Daubechies, I; Lipman, Y, Continuous Procrustes distance between two surfaces,
Communications on Pure and Applied Mathematics, vol. 66 no. 6
(June, 2013),
pp. 934964, WILEY (accepted for publication.) [arXiv:1106.4588v2 [math.DG]], [doi] [abs]
 Charléty, J; Voronin, S; Nolet, G; Loris, I; Simons, FJ; Sigloch, K; Daubechies, IC, Global seismic tomography with sparsity constraints: Comparison with smoothing and damping regularization,
Journal of Geophysical Research, vol. 118 no. 9
(October, 2013),
pp. 48874899, American Geophysical Union (AGU), ISSN 01480227 [doi] [abs]
 Wu, T; Polatkan, G; Steel, D; Brown, W; Daubechies, I; Calderbank, R, Painting analysis using wavelets and probabilistic topic models,
2013 Ieee International Conference on Image Processing, Icip 2013 Proceedings
(December, 2013),
pp. 32643268, IEEE [doi] [abs]
 Cornelis, B; Yang, Y; Vogelstein, JT; Dooms, A; Daubechies, I; Dunson, D, Bayesian crack detection in ultra high resolution multimodal images of paintings,
2013 18th International Conference on Digital Signal Processing, Dsp 2013
(December, 2013) [1304.5894v2], [doi] [abs]
 Yin, R; Dunson, D; Cornelis, B; Brown, B; Ocon, N; Daubechies, I, Digital cradle removal in Xray images of art paintings,
2014 Ieee International Conference on Image Processing, Icip 2014
(January, 2014),
pp. 42994303, IEEE, ISBN 9781479957514 [doi] [abs]
 Wu, HT; Hseu, SS; Bien, MY; Kou, YR; Daubechies, I, Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning.,
Ieee Transactions on Bio Medical Engineering, vol. 61 no. 3
(March, 2014),
pp. 736744, ISSN 00189294 [doi] [abs]
 A. Pizurica, L. Platisa, T. Ruzic, B. Cornelis, A. Dooms, M. Martens, H. Dubois, B. Devolder, M. De Mey, I. Daubechies, Digital Image Processing of The Ghent Altarpiece: Supporting the painting's study and conservation treatment,
IEEE Signal Processing Magazine, vol. 32
(2015),
pp. 112122, IEEE
 Boyer, DM; Puente, J; Gladman, JT; Glynn, C; Mukherjee, S; Yapuncich, GS; Daubechies, I, A new fully automated approach for aligning and comparing shapes.,
Anatomical Record (Hoboken, N.J. : 2007), vol. 298 no. 1
(January, 2015),
pp. 249276, ISSN 19328486 [doi] [abs]
 Wang, YG; Wu, HT; Daubechies, I; Li, Y; Estes, EH; Soliman, EZ, Automated J wave detection from digital 12lead electrocardiogram.,
Journal of Electrocardiology, vol. 48 no. 1
(January, 2015),
pp. 2128, ISSN 00220736 [doi] [abs]
 Polatkan, G; Zhou, M; Carin, L; Blei, D; Daubechies, I, A Bayesian Nonparametric Approach to Image SuperResolution.,
Ieee Transactions on Pattern Analysis and Machine Intelligence, vol. 37 no. 2
(February, 2015),
pp. 346358 [1209.5019v1], [doi] [abs]
 Yang, H; Lu, J; Brown, WP; Daubechies, I; Ying, L, Quantitative canvas weave analysis using 2D synchrosqueezed transforms: Application of timefrequency analysis to art investigation,
Ieee Signal Processing Magazine, vol. 32 no. 4
(July, 2015),
pp. 5563, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10535888 [repository], [doi] [abs]
 Pizurica, A; Platisa, L; Ruzic, T; Cornelis, B; Dooms, A; Martens, M; Dubois, H; Devolder, B; De Mey, M; Daubechies, I, Digital image processing of the ghent altarpiece: Supporting the painting's study and conservation treatment,
Ieee Signal Processing Magazine, vol. 32 no. 4
(July, 2015),
pp. 112122, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10535888 [doi] [abs]
 Daubechies, I; Saab, R, A Deterministic Analysis of Decimation for SigmaDelta Quantization of Bandlimited Functions,
Ieee Signal Processing Letters, vol. 22 no. 11
(November, 2015),
pp. 20932096, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10709908 [doi] [abs]
 Daubechies, I; Wang, YG; Wu, HT, ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform.,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 374 no. 2065
(April, 2016),
pp. 20150193, ISSN 1364503X [doi] [abs]
 Huang, NE; Daubechies, I; Hou, TY, Adaptive data analysis: theory and applications.,
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences, vol. 374 no. 2065
(April, 2016),
pp. 20150207, ISSN 1364503X [doi]
 Yin, R; Monson, E; Honig, E; Daubechies, I; Maggioni, M, Object recognition in art drawings: Transfer of a neural network,
2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), vol. 2016May
(May, 2016),
pp. 22992303, IEEE, ISSN 15206149, ISBN 9781479999880 [doi] [abs]
 Deligiannis, N; Mota, JFC; Cornelis, B; Rodrigues, MRD; Daubechies, I, Xray image separation via coupled dictionary learning,
Proceedings International Conference on Image Processing, Icip, vol. 2016August
(August, 2016),
pp. 35333537, IEEE, ISBN 9781467399616 [doi] [abs]
 Daubechies, I; Defrise, M; De Mol, C, Sparsityenforcing regularisation and ISTA revisited,
Inverse Problems, vol. 32 no. 10
(August, 2016),
pp. 104001104001, IOP Publishing [doi] [abs]
 Yin, R; Cornelis, B; Fodor, G; Ocon, N; Dunson, D; Daubechies, I, Removing cradle artifacts in Xray images of paintings,
Siam Journal on Imaging Sciences, vol. 9 no. 3
(August, 2016),
pp. 12471272, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 O'Neal, WT; Wang, YG; Wu, HT; Zhang, ZM; Li, Y; Tereshchenko, LG; Estes, EH; Daubechies, I; Soliman, EZ, Electrocardiographic J Wave and Cardiovascular Outcomes in the General Population (from the Atherosclerosis Risk In Communities Study).,
The American Journal of Cardiology, vol. 118 no. 6
(September, 2016),
pp. 811815 [doi] [abs]
 Wu, HT; Lewis, GF; Davila, MI; Daubechies, I; Porges, SW, Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform.,
Methods of Information in Medicine, vol. 55 no. 5
(October, 2016),
pp. 463472 [doi] [abs]
 Fodor, G; Cornelis, B; Yin, R; Dooms, A; Daubechies, I, Cradle removal in Xray images of panel paintings,
Image Processing on Line, vol. 7
(January, 2017),
pp. 2342, Image Processing On Line [doi] [abs]
 Cornelis, B; Yang, H; Goodfriend, A; Ocon, N; Lu, J; Daubechies, I, Removal of Canvas Patterns in Digital Acquisitions of Paintings.,
Ieee Transactions on Image Processing : a Publication of the Ieee Signal Processing Society, vol. 26 no. 1
(January, 2017),
pp. 160171 [doi] [abs]
 Voronin, S; Daubechies, I, An iteratively reweighted least squares algorithm for sparse regularization,
in Contemporary Mathematics, vol. 693
(January, 2017),
pp. 391411, American Mathematical Society, ISBN 9781470428365 [doi] [abs]
 Yin, R; Gao, T; Lu, YM; Daubechies, I, A tale of two bases: Localnonlocal regularization on image patches with convolution framelets,
Siam Journal on Imaging Sciences, vol. 10 no. 2
(January, 2017),
pp. 711750, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Deligiannis, N; Mota, JFC; Cornelis, B; Rodrigues, MRD; Daubechies, I, MultiModal Dictionary Learning for Image Separation With Application in Art Investigation.,
Ieee Transactions on Image Processing : a Publication of the Ieee Signal Processing Society, vol. 26 no. 2
(February, 2017),
pp. 751764 [doi] [abs]
 Alaifari, R; Daubechies, I; Grohs, P; Thakur, G, Reconstructing RealValued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames,
Journal of Fourier Analysis and Applications, vol. 23 no. 6
(December, 2017),
pp. 14801494 [doi] [abs]
 Xu, J; Yang, H; Daubechies, I, Recursive diffeomorphismbased regression for shape functions,
Siam Journal on Mathematical Analysis, vol. 50 no. 1
(January, 2018),
pp. 532, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Alaifari, R; Daubechies, I; Grohs, P; Yin, R, Stable Phase Retrieval in Infinite Dimensions,
Foundations of Computational Mathematics
(January, 2018), Springer Nature America, Inc [doi] [abs]
 Gao, T; Yapuncich, GS; Daubechies, I; Mukherjee, S; Boyer, DM, Development and Assessment of Fully Automated and Globally Transitive Geometric Morphometric Methods, With Application to a Biological Comparative Dataset With High Interspecific Variation.,
Anatomical Record (Hoboken, N.J. : 2007), vol. 301 no. 4
(April, 2018),
pp. 636658 [doi] [abs]
 Yin, R; Daubechies, I, Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling,
Journal of Fourier Analysis and Applications, vol. 24 no. 3
(June, 2018),
pp. 872907, Springer Nature [doi] [abs]
 Zhu, W; Qiu, Q; Huang, J; Calderbank, R; Sapiro, G; Daubechies, I, LDMNet: Low Dimensional Manifold Regularized Neural Networks,
Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition
(December, 2018),
pp. 27432751 [doi] [abs]
 Shan, S; Kovalsky, SZ; Winchester, JM; Boyer, DM; Daubechies, I, ariaDNE: A robustly implemented algorithm for Dirichlet energy of the normal,
Methods in Ecology and Evolution, vol. 10 no. 4
(April, 2019),
pp. 541552 [doi] [abs]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
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