Scholars@Duke

• 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

  • AUG 6, 2018

    Scientific American

    Ingrid Daubechies' Favorite Theorem: It Involves Graphs And Biologists Love It

  • JUL 30, 2018

    Duke Mathematician Awarded More Than $400000 for Her Contributions to Wavelet Theory

  • JUN 11, 2018

    Duke Professor Wins $100,000 Prize in Applied Mathematics

  • SEP 30, 2016

    Quanta Magazine

    Ingrid Daubechies: Using Mathematics to Repair a Masterpiece

  • AUG 3, 2016

    The News & Observer

    Duke math professor wins $1.5 million award

  • JUL 29, 2016

    Of Heartbeats, Bones and Brushstrokes

  • JUL 29, 2016

    Simons Foundation Awards Duke's Ingrid Daubechies $1.5M Grant

  • JAN 26, 2016

    Four Pratt Faculty Listed Among Most Highly Cited

  • SEP 9, 2015

    Software Helps Art Conservators Clear the Cradling

  • JUN 17, 2015

    Ingrid Daubechies on Breaking the Glass Ceiling

  • FEB 6, 2015

    Wiesner and Daubechies Named National Academy of Engineering Members

  • AUG 14, 2014

    Daubechies on the First Female Winner of the Fields Math Medal

  • AUG 13, 2014

    The New York Times

    Ingrid Daubechies comments: Top math prize has its first female winner

  • JUN 16, 2014

    Duke Faculty Head to DC to Talk to Policymakers About Math and Art
• 

  Awards & Honors

  • Fudan-Zhongzhi Science Award. Fudan University and Zhongzhi Enterprise Group. 2018
  • 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
• Expertise
• 

  Subject Headings

  • Art--Conservation and restoration
  • Inverse problems
  • Wavelets (Mathematics)
• Research
• 

  Selected Grants

  • Simons Foundation - Math + X Investigators awarded by Simons Foundation 2016 - 2021
  • New Approaches for Better Spatial Frequency Localization in 2 and 3-Dimensional Data Analysis awarded by  National Science Foundation 2015 - 2019
  • 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 X-rays 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, 391-411. January 1, 2017.  Full Text
    • Daubechies, I. "Foreword." xv-xvi. January 10, 2009.

  • Conference Papers

    • Deligiannis, N, Mota, JFC, Cornelis, B, Rodrigues, MRD, and Daubechies, I. "Multi-Modal 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. "X-ray 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 X-ray images of art paintingsDigital cradle removal in X-ray 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): 636-658.  Full Text
    • Xu, J, Yang, H, and Daubechies, I. "Recursive diffeomorphism-based regression for shape functions." SIAM Journal on Mathematical Analysis 50, no. 1 (January 1, 2018): 5-32.  Full Text  Open Access Copy
    • Alaifari, R, Daubechies, I, Grohs, P, and Thakur, G. "Reconstructing Real-Valued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames." Journal of Fourier Analysis and Applications 23, no. 6 (December 2017): 1480-1494.  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): 160-171.  Full Text  Open Access Copy
    • Fodor, G, Cornelis, B, Yin, R, Dooms, A, and Daubechies, I. "Cradle Removal in X-Ray Images of Panel Paintings." Image Processing On Line 7 (2017): 23-42.  Full Text
    • Yin, R, Gao, T, Lu, YM, and Daubechies, I. "A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets." SIAM Journal on Imaging Sciences 10, no. 2 (January 2017): 711-750.  Full Text
    • Daubechies, I, Defrise, M, and Mol, CD. "Sparsity-enforcing regularisation and ISTA revisited." Inverse Problems 32, no. 10 (October 1, 2016): 104001-104001.  Full Text
    • Wu, H-T, 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): 463-472.  Full Text
    • O'Neal, WT, Wang, YG, Wu, H-T, Zhang, Z-M, 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): 811-815.  Full Text  Open Access Copy
    • Daubechies, I, Wang, YG, and Wu, H-T. "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-null.  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 X-Ray Images of Paintings." SIAM Journal on Imaging Sciences 9, no. 3 (January 2016): 1247-1272.  Full Text
    • Daubechies, I, and Saab, R. "A Deterministic Analysis of Decimation for Sigma-Delta Quantization of Bandlimited Functions." IEEE Signal Processing Letters 22, no. 11 (November 2015): 2093-2096.  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): 112-122.  Full Text
    • Yang, H, Lu, J, Brown, WP, Daubechies, I, and Ying, L. "Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation." IEEE Signal Processing Magazine 32, no. 4 (July 2015): 55-63.  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): 249-276.  Full Text
    • Wang, YG, Wu, H-T, Daubechies, I, Li, Y, Estes, EH, and Soliman, EZ. "Automated J wave detection from digital 12-lead electrocardiogram." Journal of Electrocardiology 48, no. 1 (January 2015): 21-28.  Full Text
    • Wu, H-T, Hseu, S-S, Bien, M-Y, Kou, YR, and Daubechies, I. "Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning." Ieee Transactions on Bio Medical Engineering 61, no. 3 (March 2014): 736-744.  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): 3264-3268.  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): 4887-4899.  Full Text
    • Al-Aifari, R, Daubechies, I, and Lipman, Y. "Continuous Procrustes distance between two surfaces." Communications on Pure and Applied Mathematics 66, no. 6 (2013): 934-964.  Full Text
    • Anitha, A, Brasoveanu, A, Duarte, M, Hughes, S, Daubechies, I, Dik, J, Janssens, K, and Alfeld, M. "Restoration of X-ray fluorescence images of hidden paintings." Signal Processing 93, no. 3 (2013): 592-604.  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): 605-619.  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 (April 2012): 225-243.  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): 218-225.  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." Proceedings of the National Academy of Sciences of the United States of America 108, no. 45 (November 2011): 18221-18226.  Full Text
    • 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): 247-261.  Full Text  Link to Item
    • Dooms, A, and Daubechies, I. "Wavelets." (April 29, 2011): 135-154. (Chapter)  Full Text
    • WU, H-T, FLANDRIN, P, and DAUBECHIES, I. "ONE OR TWO FREQUENCIES? THE SYNCHROSQUEEZING ANSWERS." Advances in Adaptive Data Analysis 03, no. 01n02 (April 2011): 29-39.  Full Text
    • Daubechies, I, Lu, J, and Wu, H-T. "Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool." Applied and Computational Harmonic Analysis 30, no. 2 (March 2011): 243-261.  Full Text
    • Anitha, A, Brasoveanu, A, Duarte, MF, Hughes, SM, Daubechies, I, Dik, J, Janssens, K, and Alfeld, M. "Virtual underpainting reconstruction from X-ray fluorescence imaging data." European Signal Processing Conference (2011): 1239-1243.
    • Lipman, Y, Al-Aifari, 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): 1047-1077.  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): 801-804.  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): 417-428.  Full Text
    • Simons, FJ, Loris, I, Brevdo, E, and Daubechies, IC. "Wavelets and wavelet-like 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): 969-988.  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): 1017-1020.  Full Text
    • Daubechies, I. "Wavelets and applications." (July 18, 2010): 848-862. (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 (January 2010): 1-38.  Full Text
    • Daubechies, I, Güntürk, CS, Wang, Y, and Yilmaz, Ö. "The golden ratio encoder." IEEE Transactions on Information Theory 56, no. 10 (2010): 5097-5110.  Full Text
    • Daubechies, I. "The work of Yves Meyer." Proceedings of the International Congress of Mathematicians 2010, ICM 2010 (2010): 114-124.
    • 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." Nature Communications 1 (January 2010): 146-null.  Full Text
    • 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): 890-905.  Full Text
    • 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 (December 1, 2009): 1220-1224.
    • Brodie, J, Daubechies, I, De Mol, C, Giannone, D, and Loris, I. "Sparse and stable Markowitz portfolios." Proceedings of the National Academy of Sciences of the United States of America 106, no. 30 (July 15, 2009): 12267-12272.  Full Text
    • 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." Proceedings of the National Academy of Sciences of the United States of America 106, no. 26 (June 25, 2009): 10415-10422.  Full Text
    • Daubechies, I, Grossmann, A, and Meyer, Y. "Painless nonorthogonal expansions." (January 10, 2009): 372-384. (Chapter)
    • Daubechies, I. "The wavelet transform, time-frequency localization and signal analysis." (January 10, 2009): 442-486. (Chapter)
    • 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 (January 1, 2009): 2921-2924.  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. 5-6 (December 2008): 764-792.  Full Text
    • Daubechies, I, DeVore, R, Fornasier, M, and Güntürk, S. "Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery." CISS 2008, The 42nd Annual Conference on Information Sciences and Systems (2008): 26-29.  Full Text
    • Daubechies, I, Teschke, G, and Vese, L. "On some iterative concepts for image restoration." Advances in Imaging and Electron Physics 150 (2008): 1-51.  Full Text
    • Johnson, CR, 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 (January 1, 2008): 37-48.  Full Text
    • Cvetkovic, Z, Daubechies, I, and Logan, BF. "Single-Bit Oversampled A/D Conversion With Exponential Accuracy in the Bit Rate." Ieee Transactions on Information Theory 53, no. 11 (November 2007): 3979-3989.  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 (June 1, 2007): 694-null. (Letter)
    • Daubechies, I, Runborg, O, and Zou, J. "A sparse spectral method for homogenization multiscale problems." Multiscale Modeling and Simulation 6, no. 3 (2007): 711-740.  Full Text
    • Daubechies, I, Teschke, G, and Vese, L. "Iteratively solving linear inverse problems under general convex constraints." Inverse Problems and Imaging 1, no. 1 (January 2007): 29-46.  Full Text
    • Loris, I, Nolet, G, Daubechies, I, and Dahlen, FA. "Tomographic inversion using ℓ₁-norm regularization of wavelet coefficients." Geophysical Journal International 170, no. 1 (2007): 359-370.  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): 2723-2768.  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): 874-885.  Full Text
    • Daubechies, I, and Yilmaz, Ö. "Robust and practical analog-to-digital conversion with exponential precision." IEEE Transactions on Information Theory 52, no. 8 (2006): 3533-3545.  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): 365-368.  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): 572-595.  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): 185-246.
    • Daubechies, I, and Lieb, EH. "One-electron relativistic molecules with coulomb interaction." (January 1, 2005): 471-484. (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): 1-16.  Full Text
    • Pierpaoli, E, Anthoine, S, Huffenberger, K, and Daubechies, I. "Reconstructing Sunyaev-Zel'dovich clusters in future cosmic microwave background experiments." Monthly Notices of the Royal Astronomical Society 359, no. 1 (2005): 261-271.  Full Text
    • Roussos, E, Roberts, S, and Daubechies, I. "Variational Bayesian learning for wavelet independent component analysis." AIP Conference Proceedings 803 (2005): 274-281.  Full Text
    • Daubechies, I, Defrise, M, and De Mol, C. "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint." Communications on Pure and Applied Mathematics 57, no. 11 (November 2004): 1413-1457.  Full Text
    • Daubechies, I, Runborg, O, and Sweldens, W. "Normal multiresolution approximation of curves." Constructive Approximation 20, no. 3 (2004): 399-463.  Full Text
    • Daubechies, I, and Han, B. "Pairs of dual wavelet frames from any two refinable functions." Constructive Approximation 20, no. 3 (2004): 325-352.  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): 94-105.  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): 1557-1595.
    • 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): 502-517.
    • Cohen, A, Dahmen, W, Daubechies, I, and DeVore, R. "Harmonic analysis of the space BV." Revista Matematica Iberoamericana 19, no. 1 (2003): 235-263.
    • Daubechies, I, Han, B, Ron, A, and Shen, Z. "Framelets: MRA-based constructions of wavelet frames." Applied and Computational Harmonic Analysis 14, no. 1 (January 2003): 1-46.  Full Text
    • Daubechies, I, and Devore, R. "Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order." Annals of Mathematics 158, no. 2 (2003): 679-710.
    • Cohen, A, Daubechies, I, Guleryuz, OG, and Orchard, MT. "On the importance of combining wavelet-based nonlinear approximation with coding strategies." Ieee Transactions on Information Theory 48, no. 7 (July 2002): 1895-1921.  Full Text
    • Calderbank, AR, and Daubechies, I. "The pros and cons of democracy." IEEE Transactions on Information Theory 48, no. 6 (2002): 1721-1725.  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/784-II/787.
    • Daubechies, I, and Han, B. "The canonical dual frame of a wavelet frame." Applied and Computational Harmonic Analysis 12, no. 3 (2002): 269-285.  Full Text
    • Daubechies, I, and Planchon, F. "Adaptive Gabor transforms." Applied and Computational Harmonic Analysis 13, no. 1 (2002): 1-21.  Full Text
    • Cohen, A, Dahmen, W, Daubechies, I, and DeVore, R. "Tree Approximation and Optimal Encoding." Applied and Computational Harmonic Analysis 11, no. 2 (September 2001): 192-226.  Full Text
    • Daubechies, I, Guskov, I, and Sweldens, W. "Commutation for irregular subdivision." Constructive Approximation 17, no. 4 (2001): 479-513.  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): 2491-2536.  Full Text
    • Cvetkovic, Z, and Daubechies, I. "Single-bit oversampled A/D conversion with exponential accuracy in the bit-rate." Data Compression Conference Proceedings (2000): 343-352.
    • Daubechies, I, Guskov, I, Schroder, P, and Sweldens, W. "Wavelets on irregular point sets." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 357, no. 1760 (September 1, 1999): 2397-2413.  Full Text
    • Daubechies, I, Guskov, I, and Sweldens, W. "Regularity of irregular subdivision." Constructive Approximation 15, no. 3 (1999): 381-426.
    • Daubechies, I, and Sweldens, W. "Factoring Wavelet Transforms into Lifting Steps." Journal of Fourier Analysis and Applications 4, no. 3 (December 1, 1998).
    • Calderbank, AR, Daubechies, I, Sweldens, W, and Yeo, B-L. "Wavelet Transforms That Map Integers to Integers." Applied and Computational Harmonic Analysis 5, no. 3 (July 1998): 332-369.  Full Text
    • Daubechies, I. "Recent results in wavelet applications." Journal of Electronic Imaging 7, no. 4 (1998): 719-724.
    • 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): 2435-2476.  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 (December 1, 1997): 596-599.
    • Chassande-Mottin, E, Daubechies, I, Auger, F, and Flandrin, P. "Differential reassignment." Ieee Signal Processing Letters 4, no. 10 (October 1997): 293-294.  Full Text
    • Unser, M, and Daubechies, I. "On the approximation power of convolution-based least squares versus interpolation." Ieee Transactions on Signal Processing 45, no. 7 (July 1997): 1697-1711.  Full Text
    • Cohen, A, Daubechies, I, and Plonka, G. "Regularity of Refinable Function Vectors." Journal of Fourier Analysis and Applications 3, no. 3 (1997): x4-323.
    • Daubechies, I. "From the Original Framer to Present-Day Time-Freuency and Time-Scale Frames." Journal of Fourier Analysis and Applications 3, no. 5 (1997): x1-486.
    • Daubechies, I. "Where do wavelets come from? A personal point of view." Proceedings of the Ieee 84, no. 4 (April 1996): 510-513.  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): 87-89.  Full Text
    • Cohen, A, and Daubechies, I. "A new technique to estimate the regularity of refinable functions." Revista Matematica Iberoamericana 12, no. 2 (1996): 527-591.
    • Daubechies, I, and Huang, Y. "How does truncation of the mask affect a refinable function?." Constructive Approximation 11, no. 3 (1995): 365-380.  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): 32-42.
    • Daubechies, I, Landau, HJ, and Landau, Z. "Gabor Time-Frequency Lattices and the Wexler-Raz Identity." Journal of Fourier Analysis and Applications 1, no. 4 (November 1994): 437-478.  Full Text
    • Daubechies, I, and Huang, Y. "A decay theorem for refinable functions." Applied Mathematics Letters 7, no. 4 (1994): 1-4.
    • 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): 237-257.  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 (December 1993): 54-81.  Full Text
    • Daubechies, I, and Janssen, AJEM. "Two theorems on lattice expansions." IEEE Transactions on Information Theory 39, no. 1 (1993): 3-6.  Full Text
    • Cohen, A, Daubechies, I, and Feauveau, J-C. "Biorthogonal bases of compactly supported wavelets." Communications on Pure and Applied Mathematics 45, no. 5 (June 1992): 485-560.  Full Text
    • Antonini, M, Barlaud, M, Mathieu, P, and Daubechies, I. "Image coding using wavelet transform." IEEE Trans Image Process 1, no. 2 (1992): 205-220.  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): 313-335.  Full Text
    • Daubechies, I, and Lagarias, JC. "Sets of matrices all infinite products of which converge." Linear Algebra and Its Applications 161 (January 1992): 227-263.  Full Text
    • 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): 2297-2300.
    • Daubechies, I. "The wavelet transform, time-frequency localization and signal analysis." Ieee Transactions on Information Theory 36, no. 5 (1990): 961-1005.  Full Text
    • Daubechies, I. "Wavelets: A tool for time-frequency analysis." (1989): 98--.
    • Daubechies, I. "Orthonormal bases of compactly supported wavelets." Communications on Pure and Applied Mathematics 41, no. 7 (October 1988): 909-996.  Full Text
    • Daubechies, I, and Paul, T. "Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations." Inverse Problems 4, no. 3 (August 1, 1988): 661-680.  Full Text
    • Daubechies, I. "Time-frequency localization operators: a geometric phase space approach." Ieee Transactions on Information Theory 34, no. 4 (July 1988): 605-612.  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): 151-164.  Full Text
    • Daubechies, I. "Wavelet transform, time-frequency 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): 85-102.
    • Daubechies, I, Grossmann, A, and Meyer, Y. "Painless nonorthogonal expansions." Journal of Mathematical Physics 27, no. 5 (May 1986): 1271-1283.  Full Text
    • Daubechies, I, and Klauder, JR. "Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II." Journal of Mathematical Physics 26, no. 9 (1985): 2239-2256.
    • Daubechies, I, and Lieb, EH. "Relativistic Molecules with Coulomb Interaction." North-Holland Mathematics Studies 92, no. C (1984): 143-148.  Full Text
    • Daubechies, I. "One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum." Communications in Mathematical Physics 94, no. 4 (1984): 523-535.  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): 1161-1164.  Full Text
    • Daubechies, I. "An uncertainty principle for fermions with generalized kinetic energy." Communications in Mathematical Physics 90, no. 4 (December 1983): 511-520.  Full Text
    • Daubechies, I, and Klauder, JR. "Measures for more quadratic path integrals." Letters in Mathematical Physics 7, no. 3 (1983): 229-234.  Full Text
    • Daubechies, I, and Lieb, EH. "One-electron relativistic molecules with Coulomb interaction." Communications in Mathematical Physics 90, no. 4 (1983): 497-510.  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): 239-254.
    • Daubechies, I. "Continuity statements and counterintuitive examples in connection with Weyl quantization." Journal of Mathematical Physics 24, no. 6 (1982): 1453-1461.
    • Klauder, JR, and Daubechies, I. "Measures for path integrals." Physical Review Letters 48, no. 3 (1982): 117-120.  Full Text
    • Daubechies, I, and Klauder, JR. "Constructing measures for path integrals." Journal of Mathematical Physics 23, no. 10 (1981): 1806-1822.
    • Daubechies, I. "On the distributions corresponding to bounded operators in the Weyl quantization." Communications in Mathematical Physics 75, no. 3 (1980): 229-238.  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): 19-27.  Full Text
    • Aerts, D, and Daubechies, I. "A characterization of subsystems in physics." Letters in Mathematical Physics 3, no. 1 (1979): 11-17.  Full Text
    • Daubechies, I, and Grossmann, A. "An integral transform related to quantization." Journal of Mathematical Physics 21, no. 8 (1979): 2080-2090.
    • Daubechies, I. "An application of hyperdifferential operators to holomorphic quantization." Letters in Mathematical Physics 2, no. 6 (1978): 459-469.  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), 331-381 .  Link to Item
    • Polatkan, G, Zhou, M, Carin, L, Blei, D, and Daubechies, I. "A Bayesian Nonparametric Approach to Image Super-resolution."  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

  • MATH 393: Research Independent Study 2018
  • 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 790-90: Minicourse in Advanced Topics 2017
  • ECE 392: Projects in Electrical and Computer Engineering 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

  • Bass Connections Faculty Team Member. Image Processing Algorithms for Art Conservation. August 2016 - May 2017  2016 - 2017
  • Bass Connections Faculty Team Member . Data+. June 2015 - August 2015  2015
• 

  Service to the Profession

  • Chair : NRC Panel on World Digital Library in Mathematics. January 22, 2012  2012
  • President : International Mathematical Union. January 22, 2012  2012

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