Ingrid Daubechies
James B. Duke Professor of Mathematics and Electrical and Computer Engineering
Current Appointments & Affiliations
 James B. Duke Professor of Mathematics and Electrical and Computer Engineering, Mathematics, Trinity College of Arts & Sciences 2015
 Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2011
 Professor in the Department of Electrical and Computer Engineering, Electrical and Computer Engineering, Pratt School of Engineering 2015
Contact Information
 Background

Education, Training, & Certifications
 Ph.D., Vrije Universiteit Brussel (Belgium) 1980

Duke Appointment History
 Professor in the Department of Electrical and Computer Engineering, Electrical and Computer Engineering, Pratt School of Engineering 2011  2015
 Recognition

In the News

JUN 11, 2018 
SEP 30, 2016 Quanta Magazine 
AUG 3, 2016 The News & Observer 
JUL 29, 2016 
JUL 29, 2016 
JAN 26, 2016 
SEP 9, 2015 
JUN 17, 2015 
FEB 6, 2015 
AUG 14, 2014 
AUG 13, 2014 The New York Times 
JUN 16, 2014


Awards & Honors
 Elected Member. National Academy of Engineering. February 2015
 Highly Cited Researcher. Thomson Reuters. 2014
 American Academy of Arts & Sciences Fellow. American Academy of Arts & Sciences. September 2013
 BBVA Foundation Frontiers of Knowledge Award. BBVA Foundation Frontiers. September 2013
 Basic Research Award. German Eduard Rhein Foundation. September 2013
 Benjamin Franklin Medal in Electrical Engineering. Franklin Institute. September 2013
 Elected Member. National Academy of Sciences. September 2013
 Emily Noether Lecturer. Association for Women in Mathematics. September 2013
 Fellow. American Mathematical Society. September 2013
 Fellow. Institute of Electrical and Electronics Engineers. September 2013
 Fellow. MacArthur Foundation. September 2013
 Golden Jubilee Award for Technological Innovation. IEEE Information Theory Society. September 2013
 Guggenheim Fellow. Unknown. September 2013
 Jack S.Kilby Signal Processing Medal. Institute of Electrical and Electronics Engineers. September 2013
 Leroy P. Steele Prize for Seminal Contribution to Research. American Mathematical Society. September 2013
 Louis Empain Prize for Physics. Unknown. September 2013
 National Academy of Sciences Award in Mathematics. National Academy of Sciences. September 2013
 Nemmers Prize in Mathematics. Northwestern University. September 2013
 Pioneer Prize. International Council for Industrial and Applied Mathematics. September 2013
 Ruth Little Satter Prize in Mathematics. American Mathematical Society. September 2013
 Steele Prize for Mathematical Exposition. American Mathematical Society. September 2013
 AAAS Fellows. American Association for the Advancement of Science, The. 2011
 Benjamin Franklin Medal. Franklin Institute. 2011
 Jack S. Kilby Signal Processing Medal. Institute for Electrical and Electronics Engineers. 2011
 John von Neumann Lectureship. Society for Industrial and Applied Mathematics. 2011
 Leroy P. Steele Prize Seminal Contribution to Research. American Mathematical Society. 2011
 Fellowship. John Simon Guggenheim Memorial Foundation. 2010
 Fellow. Society for Industrial and Applied Mathematics. 2009
 Membership. American Philosophical Society. 2003
 Earle Raymond Hedrick Lectureship. Mathematical Association of America. 2001
 Highly Cited Researcher. Thomson Reuters. 2001
 NAS Award in Mathematics. National Academy of Science. 2000
 National Academy of Sciences Award in Mathematics. American Mathematical Society. 2000
 Fellows. Institute for Electrical and Electronics Engineers. 1999
 School of Mathematics/Members. Institute for Advanced Study. 1999
 Members/ Foreign Associates. National Academy of Science. 1998
 Ruth Lyttle Satter Prize in Mathematics. American Mathematical Society. 1997
 Leroy P. Steele Prize Mathematical Exposition. American Mathematical Society. 1994
 Fellows. American Academy of Arts and Sciences. 1993
 Fellows. MacArthur Foundation. 1992
 School of Mathematics/ Members. Institute for Advanced Study. 1990
 Research

Selected Grants
 Simons Foundation  Math + X Investigators awarded by Simons Foundation 2016  2021
 New Approaches for Better Spatial Frequency Localization in 2 and 3Dimensional Data Analysis awarded by National Science Foundation 2015  2018
 Structured Dictionary Models and Learning for High Resolution Images awarded by National Science Foundation 2013  2017
 Mathematics of Low Dimensional Represenations for Design awarded by Office of Naval Research 2011  2016
 Discovery of Empirical Components by Information Theory, Random Matrix Theory, and Computational Topology awarded by Princeton University 2013  2016
 Digital Removal of Cradle Artifacts from Xrays of Old Masterworks Painted on Wood Panel awarded by Samuel H. Kress Foundation 2014  2015
 Publications & Artistic Works

Selected Publications

Book Sections
 Voronin, S, and Daubechies, I. "An iteratively reweighted least squares algorithm for sparse regularization." In Contemporary Mathematics, 391411. January 1, 2017. Full Text
 Daubechies, I. "Foreword." xvxvi. January 10, 2009.

Conference Papers
 Deligiannis, N, Mota, JFC, Cornelis, B, Rodrigues, MRD, and Daubechies, I. "MultiModal Dictionary Learning for Image Separation With Application in Art Investigation." February 2017. Full Text
 Deligiannis, N, Mota, JFC, Cornelis, B, Rodrigues, MRD, and Daubechies, I. "Xray image separation via coupled dictionary learning." August 3, 2016. Full Text
 Yin, R, Monson, E, Honig, E, Daubechies, I, and Maggioni, M. "Object recognition in art drawings: Transfer of a neural network." May 18, 2016. Full Text
 Yin, R, Dunson, D, Cornelis, B, Brown, B, Ocon, N, Daubechies, I, Yin, R, Dunson, D, Cornelis, B, Brown, B, Ocon, N, and Daubechies, I. "Digital cradle removal in Xray images of art paintingsDigital cradle removal in Xray images of art paintings (PublishedPublished)." January 28, 2014. Full Text
 Puente, J, Boyer, DM, Gladman, JT, and Daubechies, IC. "Automated approaches to geometric morphometrics." 2013. Link to Item
 Rudin, C, Daubechies, I, and Schapire, RE. "On the Dynamics of Boosting." MIT Press, 2003.
 Cvetković, Z, Daubechies, I, and Logan, BF. "Interpolation of bandlimited functions from quantized irregular samples." January 1, 2002. Full Text
 Moayeri, N, Daubechies, I, Song, Q, and Wang, HS. "Wavelet transform image coding using trellis coded vector quantization." January 1, 1992. Full Text

Journal Articles
 Gao, T, Yapuncich, GS, Daubechies, I, Mukherjee, S, and 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) 301, no. 4 (April 2018): 636658. Full Text
 Xu, J, Yang, H, and Daubechies, I. "Recursive diffeomorphismbased regression for shape functions." SIAM Journal on Mathematical Analysis 50, no. 1 (January 1, 2018): 532. Full Text Open Access Copy
 Alaifari, R, Daubechies, I, Grohs, P, and Thakur, G. "Reconstructing RealValued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames." Journal of Fourier Analysis and Applications 23, no. 6 (December 2017): 14801494. Full Text
 Cornelis, B, Yang, H, Goodfriend, A, Ocon, N, Lu, J, and Daubechies, I. "Removal of Canvas Patterns in Digital Acquisitions of Paintings." IEEE transactions on image processing : a publication of the IEEE Signal Processing Society 26, no. 1 (January 2017): 160171. Full Text Open Access Copy
 Fodor, G, Cornelis, B, Yin, R, Dooms, A, and Daubechies, I. "Cradle Removal in XRay Images of Panel Paintings." Image Processing On Line 7 (2017): 2342. Full Text
 Yin, R, Gao, T, Lu, YM, and Daubechies, I. "A Tale of Two Bases: LocalNonlocal Regularization on Image Patches with Convolution Framelets." SIAM Journal on Imaging Sciences 10, no. 2 (January 2017): 711750. Full Text
 Daubechies, I, Defrise, M, and Mol, CD. "Sparsityenforcing regularisation and ISTA revisited." Inverse Problems 32, no. 10 (October 1, 2016): 104001104001. Full Text
 Wu, HT, Lewis, GF, Davila, MI, Daubechies, I, and Porges, SW. "Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform." Methods of information in medicine 55, no. 5 (October 2016): 463472. Full Text
 O'Neal, WT, Wang, YG, Wu, HT, Zhang, ZM, Li, Y, Tereshchenko, LG, Estes, EH, Daubechies, I, and Soliman, EZ. "Electrocardiographic J Wave and Cardiovascular Outcomes in the General Population (from the Atherosclerosis Risk In Communities Study)." The American journal of cardiology 118, no. 6 (September 2016): 811815. Full Text Open Access Copy
 Daubechies, I, Wang, YG, and Wu, HT. "ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform." Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 374, no. 2065 (April 2016): 20150193. Full Text
 Huang, NE, Daubechies, I, and Hou, TY. "Adaptive data analysis: theory and applications." Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 374, no. 2065 (April 2016): 20150207. (introduction) Full Text
 Yin, R, Cornelis, B, Fodor, G, Ocon, N, Dunson, D, and Daubechies, I. "Removing Cradle Artifacts in XRay Images of Paintings." SIAM Journal on Imaging Sciences 9, no. 3 (January 2016): 12471272. Full Text
 Daubechies, I, and Saab, R. "A Deterministic Analysis of Decimation for SigmaDelta Quantization of Bandlimited Functions." IEEE Signal Processing Letters 22, no. 11 (November 2015): 20932096. Full Text
 Pizurica, A, Platisa, L, Ruzic, T, Cornelis, B, Dooms, A, Martens, M, Dubois, H, Devolder, B, De Mey, M, and Daubechies, I. "Digital Image Processing of The Ghent Altarpiece: Supporting the painting's study and conservation treatment." IEEE Signal Processing Magazine 32, no. 4 (July 2015): 112122. Full Text
 Yang, H, Lu, J, Brown, WP, Daubechies, I, and Ying, L. "Quantitative Canvas Weave Analysis Using 2D Synchrosqueezed Transforms: Application of timefrequency analysis to art investigation." IEEE Signal Processing Magazine 32, no. 4 (July 2015): 5563. Full Text Open Access Copy
 Boyer, DM, Puente, J, Gladman, JT, Glynn, C, Mukherjee, S, Yapuncich, GS, and Daubechies, I. "A new fully automated approach for aligning and comparing shapes." Anatomical record (Hoboken, N.J. : 2007) 298, no. 1 (January 2015): 249276. Full Text
 Wang, YG, Wu, HT, Daubechies, I, Li, Y, Estes, EH, and Soliman, EZ. "Automated J wave detection from digital 12lead electrocardiogram." Journal of electrocardiology 48, no. 1 (January 2015): 2128. Full Text
 Wu, HT, Hseu, SS, Bien, MY, Kou, YR, and Daubechies, I. "Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning." IEEE transactions on biomedical engineering 61, no. 3 (March 2014): 736744. Full Text
 Wu, T, Polatkan, G, Steel, D, Brown, W, Daubechies, I, and Calderbank, R. "Painting analysis using wavelets and probabilistic topic models." 2013 IEEE International Conference on Image Processing, ICIP 2013  Proceedings (December 1, 2013): 32643268. Full Text
 Charléty, J, Voronin, S, Nolet, G, Loris, I, Simons, FJ, Sigloch, K, and Daubechies, IC. "Global seismic tomography with sparsity constraints: Comparison with smoothing and damping regularization." Journal of Geophysical Research E: Planets 118, no. 9 (October 24, 2013): 48874899. Full Text
 AlAifari, R, Daubechies, I, and Lipman, Y. "Continuous Procrustes distance between two surfaces." Communications on Pure and Applied Mathematics 66, no. 6 (2013): 934964. Full Text
 Anitha, A, Brasoveanu, A, Duarte, M, Hughes, S, Daubechies, I, Dik, J, Janssens, K, and Alfeld, M. "Restoration of Xray fluorescence images of hidden paintings." Signal Processing 93, no. 3 (2013): 592604. Full Text
 Cornelis, B, Ružić, T, Gezels, E, Dooms, A, Pižurica, A, Platiša, L, Cornelis, J, Martens, M, Mey, MD, and Daubechies, I. "Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece." Signal Processing 93, no. 3 (2013): 605619. Full Text
 Cohen, A, Daubechies, I, DeVore, R, Kerkyacharian, G, and Picard, D. "Capturing Ridge Functions in High Dimensions from Point Queries." Constructive Approximation 35, no. 2 (2012): 225243. Full Text
 Roussos, E, Roberts, S, and 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) 7263 LNAI (2012): 218225. Full Text
 Boyer, DM, Lipman, Y, St Clair, E, Puente, J, Patel, BA, Funkhouser, T, Jernvall, J, and Daubechies, I. "Algorithms to automatically quantify the geometric similarity of anatomical surfaces." Proc Natl Acad Sci U S A 108, no. 45 (November 8, 2011): 1822118226. Full Text Link to Item
 Bunn, JM, Boyer, DM, Lipman, Y, St Clair, EM, Jernvall, J, and 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." Am J Phys Anthropol 145, no. 2 (June 2011): 247261. Full Text Link to Item
 Dooms, A, and Daubechies, I. "Wavelets." (April 29, 2011): 135154. (Chapter) Full Text
 WU, HT, FLANDRIN, P, and DAUBECHIES, I. "ONE OR TWO FREQUENCIES? THE SYNCHROSQUEEZING ANSWERS." Advances in Adaptive Data Analysis 03, no. 01n02 (April 2011): 2939. Full Text
 Daubechies, I, Lu, J, and Wu, HT. "Synchrosqueezed wavelet transforms: An empirical mode decompositionlike tool." Applied and Computational Harmonic Analysis 30, no. 2 (March 2011): 243261. Full Text
 Anitha, A, Brasoveanu, A, Duarte, MF, Hughes, SM, Daubechies, I, Dik, J, Janssens, K, and Alfeld, M. "Virtual underpainting reconstruction from Xray fluorescence imaging data." European Signal Processing Conference (2011): 12391243.
 Lipman, Y, AlAifari, R, and Daubechies, I. "The continuous Procrustes distance between two surfaces (Accepted)." Communications in Pure and Applied Mathematics (2011). (Academic Article)
 Lipman, Y, and Daubechies, I. "Conformal Wasserstein distances: Comparing surfaces in polynomial time." Advances in Mathematics 227, no. 3 (2011): 10471077. Full Text
 Platiša, L, Cornells, B, Ružić, T, Pižurica, A, Dooms, A, Martens, M, Mey, MD, and Daubechies, I. "Spatiogram features to characterize pearls in paintings." Proceedings  International Conference on Image Processing, ICIP (2011): 801804. Full Text
 Ružić, T, Cornelis, B, Platiša, L, Pižurica, A, Dooms, A, Philips, W, Martens, M, Mey, MD, and 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) 6915 LNCS (2011): 417428. Full Text
 Simons, FJ, Loris, I, Brevdo, E, and Daubechies, IC. "Wavelets and waveletlike transforms on the sphere and their application to geophysical data inversion." Proceedings of SPIE  The International Society for Optical Engineering 8138 (2011). Full Text
 Simons, FJ, Loris, I, Nolet, G, Daubechies, IC, Voronin, S, Judd, JS, Vetter, PA, Charléty, J, and Vonesch, C. "Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity." Geophysical Journal International 187, no. 2 (2011): 969988. Full Text
 Wolff, J, Martens, M, Jafarpour, S, Daubechies, I, and Calderbank, R. "Uncovering elements of style." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing  Proceedings (2011): 10171020. Full Text
 Daubechies, I. "Wavelets and applications." (July 18, 2010): 848862. (Chapter)
 Daubechies, I, Devore, R, Fornasier, M, and Güntürk, CS. "Iteratively reweighted least squares minimization for sparse recovery." Communications on Pure and Applied Mathematics 63, no. 1 (2010): 138. Full Text
 Daubechies, I, Güntürk, CS, Wang, Y, and Yilmaz, Ö. "The golden ratio encoder." IEEE Transactions on Information Theory 56, no. 10 (2010): 50975110. Full Text
 Daubechies, I. "The work of Yves Meyer." Proceedings of the International Congress of Mathematicians 2010, ICM 2010 (2010): 114124.
 Kobiler, O, Lipman, Y, Therkelsen, K, Daubechies, I, and Enquist, LW. "Herpesviruses carrying a Brainbow cassette reveal replication and expression of limited numbers of incoming genomes." Nat Commun 1 (2010): 146. Full Text Link to Item
 Lipman, Y, Chen, X, Daubechies, I, and Funkhouser, T. "Symmetry Factored Embedding and distance." ACM Transactions on Graphics 29, no. 4 (2010). Full Text
 Loris, I, Douma, H, Nolet, G, Daubechies, I, and Regone, C. "Nonlinear regularization techniques for seismic tomography." Journal of Computational Physics 229, no. 3 (2010): 890905. Full Text
 Brodie, J, Daubechies, I, De Mol, C, Giannone, D, and Loris, I. "Sparse and stable Markowitz portfolios." Proc Natl Acad Sci U S A 106, no. 30 (July 28, 2009): 1226712272. Full Text Link to Item
 Daubechies, I, Roussos, E, Takerkart, S, Benharrosh, M, Golden, C, D'Ardenne, K, Richter, W, Cohen, JD, and Haxby, J. "Independent component analysis for brain fMRI does not select for independence." Proc Natl Acad Sci U S A 106, no. 26 (June 30, 2009): 1041510422. Full Text Link to Item
 Daubechies, I, Grossmann, A, and Meyer, Y. "Painless nonorthogonal expansions." (January 10, 2009): 372384. (Chapter)
 Daubechies, I. "The wavelet transform, timefrequency localization and signal analysis." (January 10, 2009): 442486. (Chapter)
 Jafarpour, S, Polatkan, G, Brevdo, E, Hughes, S, Brasoveanu, A, and Daubechies, I. "Stylistic analysis of paintings using wavelets and machine learning." European Signal Processing Conference (2009): 12201224.
 Polatkan, G, Jafarpour, S, Brasoveanu, A, Hughes, S, and Daubechies, I. "Detection of forgery in paintings using supervised learning." Proceedings  International Conference on Image Processing, ICIP (2009): 29212924. Full Text
 Daubechies, I, DeVore, R, Fornasier, M, and 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 (2008): 2629. Full Text
 Daubechies, I, Fornasier, M, and Loris, I. "Accelerated projected gradient method for linear inverse problems with sparsity constraints." Journal of Fourier Analysis and Applications 14, no. 56 (2008): 764792. Full Text
 Daubechies, I, Teschke, G, and Vese, L. "On some iterative concepts for image restoration." Advances in Imaging and Electron Physics 150 (2008): 151. Full Text
 Jr, CRJ, Hendriks, E, Berezhnoy, IJ, Brevdo, E, Hughes, SM, Daubechies, I, Li, J, Postma, E, and Wang, JZ. "Image processing for artist identification: Computerized analysis of Vincent van Gogh's painting brushstrokes." IEEE Signal Processing Magazine 25, no. 4 (2008): 3748. Full Text
 Cvetkovic, Z, Daubechies, I, and Jr, BFL. "Singlebit oversampled A/D conversion with exponential accuracy in the bit rate." IEEE Transactions on Information Theory 53, no. 11 (2007): 39793989. Full Text
 Daubechies, I, Lazarsfeld, R, Morgan, J, Okounkov, A, and Tao, T. "Reply to Davey, Henriksen, Marković and Pratt [4]." Notices of the American Mathematical Society 54, no. 6 (2007): 694.
 Daubechies, I, Runborg, O, and Zou, J. "A sparse spectral method for homogenization multiscale problems." Multiscale Modeling and Simulation 6, no. 3 (2007): 711740. Full Text
 Loris, I, Nolet, G, Daubechies, I, and Dahlen, FA. "Tomographic inversion using ℓ_{1}norm regularization of wavelet coefficients." Geophysical Journal International 170, no. 1 (2007): 359370. Full Text
 Rudin, C, Schapire, RE, and Daubechies, I. "Analysis of boosting algorithms using the smooth margin function." Annals of Statistics 35, no. 6 (2007): 27232768. Full Text
 Daubechies, I, DeVore, RA, Güntürk, CS, and Vaishampayan, VA. "A/D conversion with imperfect quantizers." IEEE Transactions on Information Theory 52, no. 3 (2006): 874885. Full Text
 Daubechies, I, and Yilmaz, Ö. "Robust and practical analogtodigital conversion with exponential precision." IEEE Transactions on Information Theory 52, no. 8 (2006): 35333545. Full Text
 Hughes, SM, and Daubechies, I. "Simpler alternatives to information theoretic similarity metrics for multimodal image alignment." Proceedings  International Conference on Image Processing, ICIP (2006): 365368. Full Text
 Zou, J, Gilbert, A, Strauss, M, and Daubechies, I. "Theoretical and experimental analysis of a randomized algorithm for Sparse Fourier transform analysis." Journal of Computational Physics 211, no. 2 (2006): 572595. Full Text
 Daubechies, I, Drakakis, K, and Khovanova, T. "A Detailed Study of the Attachment Strategies of New Autonomous Systems in the AS Connectivity Graph." Internet Mathematics 2 (2005): 185246.
 Daubechies, I, and Lieb, EH. "Oneelectron relativistic molecules with coulomb interaction." (January 1, 2005): 471484. (Chapter) Full Text
 Daubechies, I, and Teschke, G. "Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising." Applied and Computational Harmonic Analysis 19, no. 1 (2005): 116. Full Text
 Pierpaoli, E, Anthoine, S, Huffenberger, K, and Daubechies, I. "Reconstructing SunyaevZel'dovich clusters in future cosmic microwave background experiments." Monthly Notices of the Royal Astronomical Society 359, no. 1 (2005): 261271. Full Text
 Roussos, E, Roberts, S, and Daubechies, I. "Variational Bayesian learning for wavelet independent component analysis." AIP Conference Proceedings 803 (2005): 274281. Full Text
 Daubechies, I, Defrise, M, and Mol, CD. "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint." Communications on Pure and Applied Mathematics 57, no. 11 (2004): 14131457. Full Text
 Daubechies, I, Runborg, O, and Sweldens, W. "Normal multiresolution approximation of curves." Constructive Approximation 20, no. 3 (2004): 399463. Full Text
 Daubechies, I, and Han, B. "Pairs of dual wavelet frames from any two refinable functions." Constructive Approximation 20, no. 3 (2004): 325352. Full Text
 Daubechies, I, and Teschke, G. "Wavelet based image decomposition by variational functionals." Proceedings of SPIE  The International Society for Optical Engineering 5266 (2004): 94105. Full Text
 Rudin, C, Daubechies, I, and Schapire, RE. "The Dynamics of AdaBoost: Cyclic Behavior and Convergence of Margins." Journal of Machine Learning Research 5 (2004): 15571595.
 Rudin, C, Schapire, RE, and Daubechies, I. "Boosting based on a smooth margin." Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) 3120 (2004): 502517.
 Cohen, A, Dahmen, W, Daubechies, I, and DeVore, R. "Harmonic analysis of the space BV." Revista Matematica Iberoamericana 19, no. 1 (2003): 235263.
 Daubechies, I, Han, B, Ron, A, and Shen, Z. "Framelets: MRAbased constructions of wavelet frames." Applied and Computational Harmonic Analysis 14, no. 1 (2003): 146. Full Text
 Daubechies, I, and Devore, R. "Approximating a bandlimited function using very coarsely quantized data: A family of stable sigmadelta modulators of arbitrary order." Annals of Mathematics 158, no. 2 (2003): 679710.
 Calderbank, AR, and Daubechies, I. "The pros and cons of democracy." IEEE Transactions on Information Theory 48, no. 6 (2002): 17211725. Full Text
 Cohen, A, Daubechies, I, Guleryuz, OG, and Orchard, MT. "On the importance of combining waveletbased nonlinear approximation with coding strategies." IEEE Transactions on Information Theory 48, no. 7 (2002): 18951921. Full Text
 Daubechies, I, DeVore, R, Güntürk, CS, and Vaishampayan, VA. "Beta expansions: A new approach to digitally corrected A/D conversion." Proceedings  IEEE International Symposium on Circuits and Systems 2 (2002): II/784II/787.
 Daubechies, I, and Han, B. "The canonical dual frame of a wavelet frame." Applied and Computational Harmonic Analysis 12, no. 3 (2002): 269285. Full Text
 Daubechies, I, and Planchon, F. "Adaptive Gabor transforms." Applied and Computational Harmonic Analysis 13, no. 1 (2002): 121. Full Text
 Cohen, A, Dahmen, W, Daubechies, I, and Devore, R. "Tree Approximation and Optimal Encoding." Applied and Computational Harmonic Analysis 11, no. 2 (2001): 192226. Full Text
 Daubechies, I, Guskov, I, and Sweldens, W. "Commutation for irregular subdivision." Constructive Approximation 17, no. 4 (2001): 479513. Full Text
 Balan, R, Daubechies, I, and Vaishampayan, V. "The analysis and design of windowed fourier frame based multiple description source coding schemes." IEEE Transactions on Information Theory 46, no. 7 (2000): 24912536. Full Text
 Cvetkovic, Z, and Daubechies, I. "Singlebit oversampled A/D conversion with exponential accuracy in the bitrate." Data Compression Conference Proceedings (2000): 343352.
 Daubechies, I, Guskov, I, Schröder, P, and Sweldens, W. "Wavelets on irregular point sets." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 357, no. 1760 (1999): 23972413.
 Daubechies, I, Guskov, I, and Sweldens, W. "Regularity of irregular subdivision." Constructive Approximation 15, no. 3 (1999): 381426.
 Calderbank, AR, Daubechies, I, Sweldens, W, and Yeo, BL. "Wavelet Transforms That Map Integers to Integers." Applied and Computational Harmonic Analysis 5, no. 3 (1998): 332369.
 Daubechies, I, and Sweldens, W. "Factoring Wavelet Transforms into Lifting Steps." Journal of Fourier Analysis and Applications 4, no. 3 (1998): x1268.
 Daubechies, I. "Recent results in wavelet applications." Journal of Electronic Imaging 7, no. 4 (1998): 719724.
 Daubechies, I. "Preface." Wavelet Analysis and Its Applications 9, no. C (1998): 5. Full Text
 Donoho, DL, Vetterli, M, Devore, RA, and Daubechies, I. "Data compression and harmonic analysis." IEEE Transactions on Information Theory 44, no. 6 (1998): 24352476. Full Text
 Calderbank, AR, Daubechies, I, Sweldens, W, and Yeo, BL. "Lossless image compression using integer to integer wavelet transforms." IEEE International Conference on Image Processing 1 (1997): 596599.
 ChassandeMottin, E, Daubechies, I, Auger, F, and Flandrin, P. "Differential reassignment." IEEE Signal Processing Letters 4, no. 10 (1997): 293294. Full Text
 Cohen, A, Daubechies, I, and Plonka, G. "Regularity of Refinable Function Vectors." Journal of Fourier Analysis and Applications 3, no. 3 (1997): x4323.
 Daubechies, I. "From the Original Framer to PresentDay TimeFreuency and TimeScale Frames." Journal of Fourier Analysis and Applications 3, no. 5 (1997): x1486.
 Unser, M, and Daubechies, I. "On the approximation power of convolutionbased least squares versus interpolation." IEEE Transactions on Signal Processing 45, no. 7 (1997): 16971711. Full Text
 Cohen, A, Daubechies, I, and Ron, A. "How smooth is the smoothest function in a given refinable space?." Applied and Computational Harmonic Analysis 3, no. 1 (1996): 8789. Full Text
 Cohen, A, and Daubechies, I. "A new technique to estimate the regularity of refinable functions." Revista Matematica Iberoamericana 12, no. 2 (1996): 527591.
 Daubechies, I. "Where do wavelets come from?  a personal point of view." Proceedings of the IEEE 84, no. 4 (1996): 510513. Full Text
 Daubechies, I, and Huang, Y. "How does truncation of the mask affect a refinable function?." Constructive Approximation 11, no. 3 (1995): 365380. Full Text
 Friedlander, S, Birman, JS, and Daubechies, I. "A celebration or women in mathematics." Notices of the American Mathematical Society 42, no. 1 (January 1, 1995): 3242.
 Daubechies, I, Landau, H, and Landau, Z. "Gabor TimeFrequency Lattices and the WexlerRaz Identity." Journal of Fourier Analysis and Applications 1, no. 4 (November 1994): 437478. Full Text
 Daubechies, I, and Huang, Y. "A decay theorem for refinable functions." Applied Mathematics Letters 7, no. 4 (1994): 14.
 Daubechies, I. "Two Recent Results on Wavelets: Wavelet Bases for the Interval, and Biorthogonal Wavelets Diagonalizing the Derivative Operator." Wavelet Analysis and Its Applications 3, no. C (January 1, 1994): 237257. Full Text
 Cohen, A, Daubechies, I, and Vial, P. "Wavelets on the interval and fast wavelet transforms." Applied and Computational Harmonic Analysis 1, no. 1 (1993): 5481. Full Text
 Daubechies, I, and Janssen, AJEM. "Two theorems on lattice expansions." IEEE Transactions on Information Theory 39, no. 1 (1993): 36. Full Text
 Cohen, A, Daubechies, I, and Feauveau, JC. "Biorthogonal bases of compactly supported wavelets." Communications on Pure and Applied Mathematics 45, no. 5 (June 1992): 485560. Full Text
 Antonini, M, Barlaud, M, Mathieu, P, and Daubechies, I. "Image coding using wavelet transform." IEEE Trans Image Process 1, no. 2 (1992): 205220. Full Text Link to Item
 Cohen, A, and Daubechies, I. "A stability criterion for biorthogonal wavelet bases and their related subband coding scheme." Duke Mathematical Journal 68, no. 2 (January 1, 1992): 313335. Full Text
 Daubechies, I, and Lagarias, JC. "Sets of matrices all infinite products of which converge." Linear Algebra and Its Applications 161, no. C (1992): 227263.
 Antonini, M, Barlaud, M, Mathieu, P, and Daubechies, I. "Image coding using vector quantization in the wavelet transform domain." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing  Proceedings 4 (1990): 22972300.
 Daubechies, I. "Wavelet transform, timefrequency localization and signal analysis." IEEE Transactions on Information Theory 36, no. 5 (1990): 9611005. Full Text
 Daubechies, I. "Wavelets: A tool for timefrequency analysis." (1989): 98.
 Daubechies, I. "Orthonormal bases of compactly supported wavelets." Communications on Pure and Applied Mathematics 41, no. 7 (October 1988): 909996. Full Text
 Daubechies, I, and Grossmann, A. "Frames in the bargmann space of entire functions." Communications on Pure and Applied Mathematics 41, no. 2 (March 1988): 151164. Full Text
 Daubechies, I, and Paul, T. "Timefrequency localisation operatorsa geometric phase space approach: II. The use of dilations." Inverse Problems 4, no. 3 (1988): 661680. Full Text
 Daubechies, I. "Timefrequency localization operators: A geometric phase space approach." IEEE Transactions on Information Theory 34, no. 4 (1988): 605612. Full Text
 Daubechies, I. "Wavelet transform, timefrequency localization and signal analysis." 25 n 13 (1988): 42.
 Daubechies, I, Klauder, JR, and Paul, T. "Wiener measures for path integrals with affine kinematic variables." Journal of Mathematical Physics 28, no. 1 (1987): 85102.
 Daubechies, I, Grossmann, A, and Meyer, Y. "Painless nonorthogonal expansions." Journal of Mathematical Physics 27, no. 5 (1986): 12711283.
 Daubechies, I, and Klauder, JR. "Quantummechanical path integrals with Wiener measure for all polynomial Hamiltonians. II." Journal of Mathematical Physics 26, no. 9 (1985): 22392256.
 Daubechies, I, and Lieb, EH. "Relativistic Molecules with Coulomb Interaction." NorthHolland Mathematics Studies 92, no. C (1984): 143148. Full Text
 Daubechies, I. "One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum." Communications in Mathematical Physics 94, no. 4 (1984): 523535. Full Text
 Klauder, JR, and Daubechies, I. "Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians." Physical Review Letters 52, no. 14 (1984): 11611164. Full Text
 Daubechies, I, and Klauder, JR. "Measures for more quadratic path integrals." Letters in Mathematical Physics 7, no. 3 (1983): 229234. Full Text
 Daubechies, I, and Lieb, EH. "Oneelectron relativistic molecules with Coulomb interaction." Communications in Mathematical Physics 90, no. 4 (1983): 497510. Full Text
 Daubechies, I. "An uncertainty principle for fermions with generalized kinetic energy." Communications in Mathematical Physics 90, no. 4 (1983): 511520. Full Text
 Daubechies, I, Grossmann, A, and Reignier, J. "An integral transform related to quantization. II. Some mathematical properties." Journal of Mathematical Physics 24, no. 2 (1982): 239254.
 Daubechies, I. "Continuity statements and counterintuitive examples in connection with Weyl quantization." Journal of Mathematical Physics 24, no. 6 (1982): 14531461.
 Klauder, JR, and Daubechies, I. "Measures for path integrals." Physical Review Letters 48, no. 3 (1982): 117120. Full Text
 Daubechies, I, and Klauder, JR. "Constructing measures for path integrals." Journal of Mathematical Physics 23, no. 10 (1981): 18061822.
 Daubechies, I. "On the distributions corresponding to bounded operators in the Weyl quantization." Communications in Mathematical Physics 75, no. 3 (1980): 229238. Full Text
 Aerts, D, and 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 3, no. 1 (1979): 1927. Full Text
 Aerts, D, and Daubechies, I. "A characterization of subsystems in physics." Letters in Mathematical Physics 3, no. 1 (1979): 1117. Full Text
 Daubechies, I, and Grossmann, A. "An integral transform related to quantization." Journal of Mathematical Physics 21, no. 8 (1979): 20802090.
 Daubechies, I. "An application of hyperdifferential operators to holomorphic quantization." Letters in Mathematical Physics 2, no. 6 (1978): 459469. Full Text
 Cornelis, B, Yang, Y, Vogelstein, JT, Dooms, A, Daubechies, I, and Dunson, D. "Bayesian crack detection in ultra high resolution multimodal images of paintings." Open Access Copy Link to Item
 Lipman, Y, Puente, J, and Daubechies, I. "Conformal Wasserstein Distance: II. Computational Aspects and Extensions." Math. Comp. 82 (2013), 331381 . Link to Item
 Polatkan, G, Zhou, M, Carin, L, Blei, D, and Daubechies, I. "A Bayesian Nonparametric Approach to Image Superresolution." Link to Item
 Yin, R, and Daubechies, I. "Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling (Published online)." Journal of Fourier Analysis and Applications . Full Text

 Teaching & Mentoring

Recent Courses
 BME 590: Special Topics in Biomedical Engineering 2017
 ECE 590: Advanced Topics in Electrical and Computer Engineering 2017
 MATH 181: Math Everywhere: Mathematical Concepts and Reasoning in our Modern World 2017
 MATH 240: Introduction to Applied Mathematics: Modeling, Equations and Proofs 2017
 MATH 635: Functional Analysis 2017
 MATH 79090: Minicourse in Advanced Topics 2017
 ECE 392: Projects in Electrical and Computer Engineering 2016
 MATH 393: Research Independent Study 2016
 Scholarly, Clinical, & Service Activities

Presentations & Appearances
 Animation, Skeletons and Teeth. October 24, 2012 2012
 Iterated Least Squares method for Inverse Problems with a Sparsity Constraint. August 23, 2012 2012
 Dicsrete Differential Geometry with Applications to Biology. April 12, 2012 2012
 4th Honorary Lytle Lecturer. April 1, 2012 2012
 Keynote speaker at Nebraska Conference for Undergraduate Women in Mathematics. January 27, 2012 2012
 Iterated Least Squares method for Inverse Problems with a Sparsity Constraint. January 22, 2012 2012
 von Neumann lecture. July 18, 2011 2011

Outreach & Engaged Scholarship

Service to the Profession
Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.