Ingrid Daubechies | Scholars@Duke

Ingrid Daubechies
James B. Duke Distinguished Professor of Mathematics and Electrical and Computer Engineering

Current Appointments & Affiliations

James B. Duke Distinguished 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 2011

Contact Information

Background
Education, Training, & Certifications
- Ph.D., Vrije Universiteit Brussel (Belgium) 1980
Previous Appointments & Affiliations
- James B. Duke Distinguished Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2011 - 2015
Leadership & Clinical Positions at Duke
- Alumni Liaison/External Relations. Duke Mathematics Department, August 2019
Recognition
In the News
- MAR 11, 2022
  
  Cookies for Pi Day
- NOV 9, 2021
  
  Art Installation Celebrates the Beauty and Whimsy of Math
- JAN 28, 2020
  
  Ingrid Daubechies, Making Waves
- JUN 13, 2019
  
  Harvard Presents Ingrid Daubechies With Honorary Degree
- MAY 28, 2019 Forbes
  
  Talking with Ingrid Daubechies: 8 Tips for Generating Creative Ideas
- FEB 12, 2019 Pratt School of Engineering
  
  Daubechies Named North American Laureate of L'Oréal-UNESCO International Award For Women in Science
- 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
Research
Selected Grants
- RTG: Training Tomorrow's Workforce in Analysis and Applications awarded by National Science Foundation 2021 - 2026
- Simons Foundation - Math + X Investigators awarded by Simons Foundation 2016 - 2026
- Collaborative Reseach: Transferable, Hierarchical, Expressive, Optimal, Robust, Interpretable NETworks (THEORINET) awarded by Simons Foundation 2020 - 2025
- Collaborative Reseach: Transferable, Hierarchical, Expressive, Optimal, Robust, Interpretable NETworks (THEORINET) awarded by National Science Foundation 2020 - 2025
- HDR TRIPODS: Innovations in Data Science: Integrating Stochastic Modeling, Data Representation, and Algorithms awarded by National Science Foundation 2019 - 2023
- New Approaches for Better Spatial Frequency Localization in 2 and 3-Dimensional Data Analysis awarded by National Science Foundation 2015 - 2020
- 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
External Relationships
- Simons Foundation
- the Edge Foundation (www.edgeforwomen.org)
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Daubechies, I., R. DeVore, S. Foucart, B. Hanin, and G. Petrova. “Nonlinear Approximation and (Deep) ReLU Networks.” Constructive Approximation 55, no. 1 (February 1, 2022): 127–72. https://doi.org/10.1007/s00365-021-09548-z.
    Full Text
  - Daubechies, I., R. DeVore, N. Dym, S. Faigenbaum-Golovin, S. Z. Kovalsky, K. C. Lin, J. Park, G. Petrova, and B. Sober. “Neural Network Approximation of Refinable Functions.” Ieee Transactions on Information Theory, January 1, 2022. https://doi.org/10.1109/TIT.2022.3199601.
    Full Text
  - Pu, Wei, Jun-Jie Huang, Barak Sober, Nathan Daly, Catherine Higgitt, Ingrid Daubechies, Pier Luigi Dragotti, and Miguel R. D. Rodrigues. “Mixed X-Ray Image Separation for Artworks With Concealed Designs.” Ieee Transactions on Image Processing : A Publication of the Ieee Signal Processing Society 31 (January 2022): 4458–73. https://doi.org/10.1109/tip.2022.3185488.
    Full Text
  - Fulwood, E. L., S. Shan, J. M. Winchester, T. Gao, H. Kirveslahti, I. Daubechies, and D. M. Boyer. “Reconstructing dietary ecology of extinct strepsirrhines (Primates, Mammalia) with new approaches for characterizing and analyzing tooth shape.” Paleobiology 47, no. 4 (November 27, 2021): 612–31. https://doi.org/10.1017/pab.2021.9.
    Full Text
  - Cheng, C., I. Daubechies, N. Dym, and J. Lu. “Stable phase retrieval from locally stable and conditionally connected measurements.” Applied and Computational Harmonic Analysis 55 (November 1, 2021): 440–65. https://doi.org/10.1016/j.acha.2021.07.001.
    Full Text Open Access Copy
  - Fornasier, M., J. Vybíral, and I. Daubechies. “Robust and resource efficient identification of shallow neural networks by fewest samples.” Information and Inference 10, no. 2 (June 1, 2021): 625–95. https://doi.org/10.1093/imaiai/iaaa036.
    Full Text
  - Fulwood, Ethan L., Shan Shan, Julia M. Winchester, Henry Kirveslahti, Robert Ravier, Shahar Kovalsky, Ingrid Daubechies, and Doug M. Boyer. “Insights from macroevolutionary modelling and ancestral state reconstruction into the radiation and historical dietary ecology of Lemuriformes (Primates, Mammalia).” Bmc Ecology and Evolution 21, no. 1 (April 2021): 60. https://doi.org/10.1186/s12862-021-01793-x.
    Full Text
  - Alaifari, R., I. Daubechies, P. Grohs, and R. Yin. “Stable Phase Retrieval in Infinite Dimensions.” Foundations of Computational Mathematics 19, no. 4 (August 15, 2019): 869–900. https://doi.org/10.1007/s10208-018-9399-7.
    Full Text
  - Sabetsarvestani, Z., B. Sober, C. Higgitt, I. Daubechies, and M. R. D. Rodrigues. “Artificial intelligence for art investigation: Meeting the challenge of separating x-ray images of the Ghent Altarpiece.” Science Advances 5, no. 8 (August 2019): eaaw7416. https://doi.org/10.1126/sciadv.aaw7416.
    Full Text Open Access Copy
  - Shan, S., S. Z. Kovalsky, J. M. Winchester, D. M. Boyer, and I. Daubechies. “ariaDNE: A robustly implemented algorithm for Dirichlet energy of the normal.” Methods in Ecology and Evolution 10, no. 4 (April 1, 2019): 541–52. https://doi.org/10.1111/2041-210X.13148.
    Full Text
  - Zhu, W., Q. Qiu, J. Huang, R. Calderbank, G. Sapiro, and I. Daubechies. “LDMNet: Low Dimensional Manifold Regularized Neural Networks.” Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition, December 14, 2018, 2743–51. https://doi.org/10.1109/CVPR.2018.00290.
    Full Text
  - Yin, R., and I. Daubechies. “Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling.” Journal of Fourier Analysis and Applications 24, no. 3 (June 1, 2018): 872–907. https://doi.org/10.1007/s00041-017-9540-z.
    Full Text
  - Gao, Tingran, Gabriel S. Yapuncich, Ingrid Daubechies, Sayan Mukherjee, and Doug M. Boyer. “Development and Assessment of Fully Automated and Globally Transitive Geometric Morphometric Methods, With Application to a Biological Comparative Dataset With High Interspecific Variation.” Anat Rec (Hoboken) 301, no. 4 (April 2018): 636–58. https://doi.org/10.1002/ar.23700.
    Full Text Open Access Copy Link to Item
  - Alaifari, R., I. Daubechies, P. Grohs, and G. Thakur. “Reconstructing Real-Valued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames.” Journal of Fourier Analysis and Applications 23, no. 6 (December 1, 2017): 1480–94. https://doi.org/10.1007/s00041-016-9513-7.
    Full Text
  - Fodor, G., B. Cornelis, R. Yin, A. Dooms, and I. Daubechies. “Cradle removal in X-ray images of panel paintings.” Image Processing on Line 7 (January 1, 2017): 23–42. https://doi.org/10.5201/ipol.2017.174.
    Full Text
  - Yin, R., T. Gao, Y. M. Lu, and I. Daubechies. “A tale of two bases: Local-nonlocal regularization on image patches with convolution framelets.” Siam Journal on Imaging Sciences 10, no. 2 (January 1, 2017): 711–50. https://doi.org/10.1137/16M1091447.
    Full Text
  - Wu, Hau-Tieng, Gregory F. Lewis, Maria I. Davila, Ingrid Daubechies, and Stephen W. Porges. “Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform.” Methods of Information in Medicine 55, no. 5 (October 2016): 463–72. https://doi.org/10.3414/me16-01-0026.
    Full Text
  - O’Neal, Wesley T., Yi Grace Wang, Hau-Tieng Wu, Zhu-Ming Zhang, Yabing Li, Larisa G. Tereshchenko, E Harvey Estes, Ingrid Daubechies, and Elsayed Z. Soliman. “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): 811–15. https://doi.org/10.1016/j.amjcard.2016.06.047.
    Full Text Open Access Copy
  - Yin, R., B. Cornelis, G. Fodor, N. Ocon, D. Dunson, and I. Daubechies. “Removing cradle artifacts in X-ray images of paintings.” Siam Journal on Imaging Sciences 9, no. 3 (August 30, 2016): 1247–72. https://doi.org/10.1137/15M1053554.
    Full Text
  - Daubechies, I., M. Defrise, and C. De Mol. “Sparsity-enforcing regularisation and ISTA revisited.” Inverse Problems 32, no. 10 (August 5, 2016). https://doi.org/10.1088/0266-5611/32/10/104001.
    Full Text
  - Daubechies, Ingrid, Yi Grace Wang, and Hau-tieng Wu. “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. https://doi.org/10.1098/rsta.2015.0193.
    Full Text
  - Huang, Norden E., Ingrid Daubechies, and Thomas Y. Hou. “Adaptive data analysis: theory and applications.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 374, no. 2065 (April 2016): 20150207. https://doi.org/10.1098/rsta.2015.0207.
    Full Text
  - Daubechies, I., and R. Saab. “A Deterministic Analysis of Decimation for Sigma-Delta Quantization of Bandlimited Functions.” Ieee Signal Processing Letters 22, no. 11 (November 1, 2015): 2093–96. https://doi.org/10.1109/LSP.2015.2459758.
    Full Text
  - Pizurica, A., L. Platisa, T. Ruzic, B. Cornelis, A. Dooms, M. Martens, H. Dubois, B. Devolder, M. De Mey, and I. Daubechies. “Digital image processing of the ghent altarpiece: Supporting the painting's study and conservation treatment.” Ieee Signal Processing Magazine 32, no. 4 (July 1, 2015): 112–22. https://doi.org/10.1109/MSP.2015.2411753.
    Full Text
  - Yang, Haizhao, Jianfeng Lu, W. P. Brown, I. Daubechies, and Lexing Ying. “Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation.” Signal Processing Magazine, Ieee 32 (July 2015): 55–63. https://doi.org/10.1109/MSP.2015.2406882.
    Full Text Open Access Copy
  - Polatkan, Gungor, Mingyuan Zhou, Lawrence Carin, David Blei, and Ingrid Daubechies. “A Bayesian Nonparametric Approach to Image Super-Resolution.” Ieee Transactions on Pattern Analysis and Machine Intelligence 37, no. 2 (February 2015): 346–58. https://doi.org/10.1109/tpami.2014.2321404.
    Full Text
  - Wang, Yi Grace, Hau-Tieng Wu, Ingrid Daubechies, Yabing Li, E Harvey Estes, and Elsayed Z. Soliman. “Automated J wave detection from digital 12-lead electrocardiogram.” Journal of Electrocardiology 48, no. 1 (January 2015): 21–28. https://doi.org/10.1016/j.jelectrocard.2014.10.006.
    Full Text
  - Boyer, Doug M., Jesus Puente, Justin T. Gladman, Chris Glynn, Sayan Mukherjee, Gabriel S. Yapuncich, and Ingrid Daubechies. “A new fully automated approach for aligning and comparing shapes.” Anat Rec (Hoboken) 298, no. 1 (January 2015): 249–76. https://doi.org/10.1002/ar.23084.
    Full Text Open Access Copy Link to Item
  - Wu, Hau-Tieng, Shu-Shua Hseu, Mauo-Ying Bien, Yu Ru Kou, and Ingrid Daubechies. “Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning.” Ieee Transactions on Bio Medical Engineering 61, no. 3 (March 2014): 736–44. https://doi.org/10.1109/tbme.2013.2288497.
    Full Text
  - Cornelis, B., Y. Yang, J. T. Vogelstein, A. Dooms, I. Daubechies, and D. Dunson. “Bayesian crack detection in ultra high resolution multimodal images of paintings.” 2013 18th International Conference on Digital Signal Processing, Dsp 2013, December 6, 2013. https://doi.org/10.1109/ICDSP.2013.6622710.
    Full Text Open Access Copy
  - Charléty, J., S. Voronin, G. Nolet, I. Loris, F. J. Simons, K. Sigloch, and I. C. Daubechies. “Global seismic tomography with sparsity constraints: Comparison with smoothing and damping regularization.” Journal of Geophysical Research: Planets 118, no. 9 (September 1, 2013): 4887–99. https://doi.org/10.1002/jgrb.50326.
    Full Text
  - Anitha, A., A. Brasoveanu, M. Duarte, S. Hughes, I. Daubechies, J. Dik, K. Janssens, and M. Alfeld. “Restoration of X-ray fluorescence images of hidden paintings.” Signal Processing 93, no. 3 (March 1, 2013): 592–604. https://doi.org/10.1016/j.sigpro.2012.09.027.
    Full Text
  - Cornelis, B., T. Ružić, E. Gezels, A. Dooms, A. Pižurica, L. Platiša, J. Cornelis, M. Martens, M. De Mey, and I. Daubechies. “Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece.” Signal Processing 93, no. 3 (March 1, 2013): 605–19. https://doi.org/10.1016/j.sigpro.2012.07.022.
    Full Text
  - Lipman, Y., J. Puente, and I. Daubechies. “Conformal Wasserstein distance: II. Computational aspects and extensions.” Mathematics of Computation 82, no. 281 (January 17, 2013): 331–81. https://doi.org/10.1090/S0025-5718-2012-02569-5.
    Full Text
  - Wu, T., G. Polatkan, D. Steel, W. Brown, I. Daubechies, and R. Calderbank. “Painting analysis using wavelets and probabilistic topic models.” 2013 Ieee International Conference on Image Processing, Icip 2013 Proceedings, January 1, 2013, 3264–68. https://doi.org/10.1109/ICIP.2013.6738672.
    Full Text
  - Roussos, E., S. Roberts, and I. Daubechies. “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 (November 30, 2012): 218–25. https://doi.org/10.1007/978-3-642-34713-9_28.
    Full Text
  - Cohen, A., I. Daubechies, R. DeVore, G. Kerkyacharian, and D. Picard. “Capturing Ridge Functions in High Dimensions from Point Queries.” Constructive Approximation 35, no. 2 (April 1, 2012): 225–43. https://doi.org/10.1007/s00365-011-9147-6.
    Full Text
  - Anitha, A., A. Brasoveanu, M. F. Duarte, S. M. Hughes, I. Daubechies, J. Dik, K. Janssens, and M. Alfeld. “Virtual underpainting reconstruction from X-ray fluorescence imaging data.” European Signal Processing Conference, December 1, 2011, 1239–43.
  - Platiša, L., B. Cornells, T. Ružić, A. Pižurica, A. Dooms, M. Martens, M. De Mey, and I. Daubechies. “Spatiogram features to characterize pearls in paintings.” Proceedings International Conference on Image Processing, Icip, December 1, 2011, 801–4. https://doi.org/10.1109/ICIP.2011.6116677.
    Full Text
  - Simons, F. J., I. Loris, E. Brevdo, and I. C. Daubechies. “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 (November 2, 2011). https://doi.org/10.1117/12.892285.
    Full Text
  - Boyer, D., Y. Lipman, E St Clair, J. Puente, T. Funkhouser, B. Patel, J. Jernvall, and I. Daubechies. “Algorithms to automatically quantify the geometric similarity of anatomical surfaces.” Proceedings of the National Academy of Sciences 108, no. 45 (November 2011): 18221–26.
  - Simons, F. J., I. Loris, G. Nolet, I. C. Daubechies, S. Voronin, J. S. Judd, P. A. Vetter, J. Charléty, and C. Vonesch. “Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity.” Geophysical Journal International 187, no. 2 (November 1, 2011): 969–88. https://doi.org/10.1111/j.1365-246X.2011.05190.x.
    Full Text
  - Ružić, T., B. Cornelis, L. Platiša, A. Pižurica, A. Dooms, W. Philips, M. Martens, M. De Mey, and I. Daubechies. “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 (September 2, 2011): 417–28. https://doi.org/10.1007/978-3-642-23687-7_38.
    Full Text
  - Wolff, J., M. Martens, S. Jafarpour, I. Daubechies, and R. Calderbank. “Uncovering elements of style.” Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings, August 18, 2011, 1017–20. https://doi.org/10.1109/ICASSP.2011.5946579.
    Full Text
  - Lipman, Y., and I. Daubechies. “Conformal Wasserstein distances: Comparing surfaces in polynomial time.” Advances in Mathematics 227, no. 3 (June 20, 2011): 1047–77. https://doi.org/10.1016/j.aim.2011.01.020.
    Full Text
  - Bunn, Jonathan M., Doug M. Boyer, Yaron Lipman, Elizabeth M. St Clair, Jukka Jernvall, and Ingrid Daubechies. “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 145, no. 2 (June 2011): 247–61. https://doi.org/10.1002/ajpa.21489.
    Full Text
  - Dooms, A., and I. Daubechies. “Wavelets,” April 29, 2011, 135–54. https://doi.org/10.1002/9783527635245.ch7.
    Full Text
  - Wu, H. T., P. Flandrin, and I. Daubechies. “One or two frequencies? the synchrosqueezing answers.” Advances in Adaptive Data Analysis 3, no. 1–2 (April 1, 2011): 29–39. https://doi.org/10.1142/S179353691100074X.
    Full Text
  - Daubechies, Ingrid, Jianfeng Lu, and Hau-Tieng Wu. “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool.” Applied and Computational Harmonic Analysis 30, no. 2 (March 2011): 243–61. https://doi.org/10.1016/j.acha.2010.08.002.
    Full Text
  - Lipman, Yaron, Reema Al-Aifari, and Ingrid Daubechies. “The continuous Procrustes distance between two surfaces (Accepted).” Communications in Pure and Applied Mathematics, 2011.
  - Daubechies, I. “The work of Yves Meyer.” Proceedings of the International Congress of Mathematicians 2010, Icm 2010, December 1, 2010, 114–24.
  - Daubechies, I., C. S. Güntürk, Y. Wang, and O. Yilmaz. “The golden ratio encoder.” Ieee Transactions on Information Theory 56, no. 10 (October 1, 2010): 5097–5110. https://doi.org/10.1109/TIT.2010.2059750.
    Full Text
  - Lipman, Y., X. Chen, I. Daubechies, and T. Funkhouser. “Symmetry factored embedding and distance.” Acm Siggraph 2010 Papers, Siggraph 2010, July 26, 2010. https://doi.org/10.1145/1778765.1778840.
    Full Text
  - Daubechies, I. “Wavelets and applications,” July 18, 2010, 848–62.
  - Loris, I., H. Douma, G. Nolet, I. Daubechies, and C. Regone. “Nonlinear regularization techniques for seismic tomography.” Journal of Computational Physics 229, no. 3 (February 1, 2010): 890–905. https://doi.org/10.1016/j.jcp.2009.10.020.
    Full Text
  - Daubechies, I., R. Devore, M. Fornasier, and C. S. Güntürk. “Iteratively reweighted least squares minimization for sparse recovery.” Communications on Pure and Applied Mathematics 63, no. 1 (January 1, 2010): 1–38. https://doi.org/10.1002/cpa.20303.
    Full Text
  - Kobiler, Oren, Yaron Lipman, Kate Therkelsen, Ingrid Daubechies, and Lynn W. Enquist. “Herpesviruses carrying a Brainbow cassette reveal replication and expression of limited numbers of incoming genomes.” Nature Communications 1 (January 2010): 146. https://doi.org/10.1038/ncomms1145.
    Full Text
  - Jafarpour, S., G. Polatkan, E. Brevdo, S. Hughes, A. Brasoveanu, and I. Daubechies. “Stylistic analysis of paintings using wavelets and machine learning.” European Signal Processing Conference, December 1, 2009, 1220–24.
  - Brodie, Joshua, Ingrid Daubechies, Christine De Mol, Domenico Giannone, and Ignace Loris. “Sparse and stable Markowitz portfolios.” Proceedings of the National Academy of Sciences of the United States of America 106, no. 30 (July 2009): 12267–72. https://doi.org/10.1073/pnas.0904287106.
    Full Text
  - Daubechies, I., E. Roussos, S. Takerkart, M. Benharrosh, C. Golden, K. D’Ardenne, W. Richter, J. D. Cohen, and J. Haxby. “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 2009): 10415–22. https://doi.org/10.1073/pnas.0903525106.
    Full Text
  - Daubechies, I. “The wavelet transform, time-frequency localization and signal analysis,” January 10, 2009, 442–86.
  - Daubechies, I., A. Grossmann, and Y. Meyer. “Painless nonorthogonal expansions,” January 10, 2009, 372–84.
  - Polatkan, G., S. Jafarpour, A. Brasoveanu, S. Hughes, and I. Daubechies. “Detection of forgery in paintings using supervised learning.” Proceedings International Conference on Image Processing, Icip, January 1, 2009, 2921–24. https://doi.org/10.1109/ICIP.2009.5413338.
    Full Text
  - Daubechies, I., M. Fornasier, and I. Loris. “Accelerated projected gradient method for linear inverse problems with sparsity constraints.” Journal of Fourier Analysis and Applications 14, no. 5–6 (December 1, 2008): 764–92. https://doi.org/10.1007/s00041-008-9039-8.
    Full Text
  - Daubechies, I., R. DeVore, M. Fornasier, and S. Güntürk. “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, September 24, 2008, 26–29. https://doi.org/10.1109/CISS.2008.4558489.
    Full Text
  - Daubechies, I., G. Teschke, and L. Vese. “On some iterative concepts for image restoration.” Advances in Imaging and Electron Physics 150 (January 1, 2008): 1–51. https://doi.org/10.1016/S1076-5670(07)00001-8.
    Full Text
  - Johnson, C. R., E. Hendriks, I. J. Berezhnoy, E. Brevdo, S. M. Hughes, I. Daubechies, J. Li, E. Postma, and J. Z. Wang. “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. https://doi.org/10.1109/MSP.2008.923513.
    Full Text
  - Rudin, C., R. E. Schapire, and I. Daubechies. “Analysis of boosting algorithms using the smooth margin function.” Annals of Statistics 35, no. 6 (December 1, 2007): 2723–68. https://doi.org/10.1214/009053607000000785.
    Full Text
  - Cvetkovic, Z., I. Daubechies, and B. F. Logan. “Single-bit oversampled A/D conversion with exponential accuracy in the bit rate.” Ieee Transactions on Information Theory 53, no. 11 (November 1, 2007): 3979–89. https://doi.org/10.1109/TIT.2007.907508.
    Full Text
  - Daubechies, I., O. Runborg, and J. Zou. “A sparse spectral method for homogenization multiscale problems.” Multiscale Modeling and Simulation 6, no. 3 (August 1, 2007): 711–40. https://doi.org/10.1137/060676258.
    Full Text
  - Loris, I., G. Nolet, I. Daubechies, and F. A. Dahlen. “Tomographic inversion using ℓ1-norm regularization of wavelet coefficients.” Geophysical Journal International 170, no. 1 (July 1, 2007): 359–70. https://doi.org/10.1111/j.1365-246X.2007.03409.x.
    Full Text
  - Daubechies, I., R. Lazarsfeld, J. Morgan, A. Okounkov, and T. Tao. “Reply to Davey, Henriksen, Marković and Pratt [4].” Notices of the American Mathematical Society 54, no. 6 (June 1, 2007): 694.
  - Daubechies, I., G. Teschke, and L. Vese. “Iteratively solving linear inverse problems under general convex constraints.” Inverse Problems and Imaging 1, no. 1 (January 1, 2007): 29–46. https://doi.org/10.3934/ipi.2007.1.29.
    Full Text
  - Hughes, S. M., and I. Daubechies. “Simpler alternatives to information theoretic similarity metrics for multimodal image alignment.” Proceedings International Conference on Image Processing, Icip, December 1, 2006, 365–68. https://doi.org/10.1109/ICIP.2006.313169.
    Full Text
  - Daubechies, I., and O. Yilmaz. “Robust and practical analog-to-digital conversion with exponential precision.” Ieee Transactions on Information Theory 52, no. 8 (August 1, 2006): 3533–45. https://doi.org/10.1109/TIT.2006.878220.
    Full Text
  - Daubechies, I., R. A. DeVore, C. S. Güntürk, and V. A. Vaishampayan. “A/D conversion with imperfect quantizers.” Ieee Transactions on Information Theory 52, no. 3 (March 1, 2006): 874–85. https://doi.org/10.1109/TIT.2005.864430.
    Full Text
  - Zou, J., A. Gilbert, M. Strauss, and I. Daubechies. “Theoretical and experimental analysis of a randomized algorithm for Sparse Fourier transform analysis.” Journal of Computational Physics 211, no. 2 (January 20, 2006): 572–95. https://doi.org/10.1016/j.jcp.2005.06.005.
    Full Text
  - Roussos, E., S. Roberts, and I. Daubechies. “Variational Bayesian learning for wavelet independent component analysis.” Aip Conference Proceedings 803 (November 23, 2005): 274–81. https://doi.org/10.1063/1.2149805.
    Full Text
  - Daubechies, I., and G. Teschke. “Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising.” Applied and Computational Harmonic Analysis 19, no. 1 (July 1, 2005): 1–16. https://doi.org/10.1016/j.acha.2004.12.004.
    Full Text
  - Pierpaoli, E., S. Anthoine, K. Huffenberger, and I. Daubechies. “Reconstructing Sunyaev-Zel'dovich clusters in future cosmic microwave background experiments.” Monthly Notices of the Royal Astronomical Society 359, no. 1 (May 1, 2005): 261–71. https://doi.org/10.1111/j.1365-2966.2005.08896.x.
    Full Text
  - Daubechies, I., K. Drakakis, and T. Khovanova. “A detailed study of the attachment strategies of new autonomous systems in the as connectivity graph.” Internet Mathematics 2, no. 2 (January 1, 2005): 185–246. https://doi.org/10.1080/15427951.2005.10129103.
    Full Text
  - Daubechies, I., and E. H. Lieb. “One-electron relativistic molecules with coulomb interaction,” January 1, 2005, 471–84. https://doi.org/10.1007/3-540-27056-6_33.
    Full Text
  - Rudin, C., I. Daubechies, and R. E. Schapire. “The dynamics of AdaBoost: Cyclic behavior and convergence of margins.” Journal of Machine Learning Research 5 (December 1, 2004): 1557–95.
  - Daubechies, I., M. Defrise, and C. De Mol. “An iterative thresholding algorithm for linear inverse problems with a sparsity constraint.” Communications on Pure and Applied Mathematics 57, no. 11 (November 1, 2004): 1413–57. https://doi.org/10.1002/cpa.20042.
    Full Text
  - Daubechies, I., and G. Teschke. “Wavelet based image decomposition by variational functionals.” Proceedings of Spie the International Society for Optical Engineering 5266 (May 10, 2004): 94–105. https://doi.org/10.1117/12.516051.
    Full Text
  - Daubechies, I., O. Runborg, and W. Sweldens. “Normal multiresolution approximation of curves.” Constructive Approximation 20, no. 3 (January 1, 2004): 399–463. https://doi.org/10.1007/s00365-003-0543-4.
    Full Text
  - Daubechies, I., and B. Han. “Pairs of dual wavelet frames from any two refinable functions.” Constructive Approximation 20, no. 3 (January 1, 2004): 325–52. https://doi.org/10.1007/s00365-004-0567-4.
    Full Text
  - Rudin, C., R. E. Schapire, and I. Daubechies. “Boosting based on a smooth margin.” Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) 3120 (January 1, 2004): 502–17. https://doi.org/10.1007/978-3-540-27819-1_35.
    Full Text
  - Cohen, A., W. Dahmen, I. Daubechies, and R. DeVore. “Harmonic analysis of the space BV.” Revista Matematica Iberoamericana 19, no. 1 (January 1, 2003): 235–63. https://doi.org/10.4171/RMI/345.
    Full Text
  - Daubechies, I., B. Han, A. Ron, and Z. Shen. “Framelets: MRA-based constructions of wavelet frames.” Applied and Computational Harmonic Analysis 14, no. 1 (January 1, 2003): 1–46. https://doi.org/10.1016/S1063-5203(02)00511-0.
    Full Text
  - Daubechies, I., and R. Devore. “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 (January 1, 2003): 679–710. https://doi.org/10.4007/annals.2003.158.679.
    Full Text
  - Cohen, A., I. Daubechies, O. G. Guleryuz, and M. T. Orchard. “On the importance of combining wavelet-based nonlinear approximation with coding strategies.” Ieee Transactions on Information Theory 48, no. 7 (July 1, 2002): 1895–1921. https://doi.org/10.1109/TIT.2002.1013132.
    Full Text
  - Daubechies, I., and F. Planchon. “Adaptive Gabor transforms.” Applied and Computational Harmonic Analysis 13, no. 1 (July 1, 2002): 1–21. https://doi.org/10.1016/S1063-5203(02)00003-9.
    Full Text
  - Calderbank, A. R., and I. Daubechies. “The pros and cons of democracy.” Ieee Transactions on Information Theory 48, no. 6 (June 1, 2002): 1721–25. https://doi.org/10.1109/TIT.2002.1003852.
    Full Text
  - Daubechies, I., and B. Han. “The canonical dual frame of a wavelet frame.” Applied and Computational Harmonic Analysis 12, no. 3 (May 1, 2002): 269–85. https://doi.org/10.1006/acha.2002.0381.
    Full Text
  - Daubechies, I., R. DeVore, C. S. Güntürk, and V. A. Vaishampayan. “Beta expansions: A new approach to digitally corrected A/D conversion.” Proceedings Ieee International Symposium on Circuits and Systems 2 (January 1, 2002): 784–87. https://doi.org/10.1109/ISCAS.2002.1011470.
    Full Text
  - Daubechies, I., I. Guskov, and W. Sweldens. “Commutation for irregular subdivision.” Constructive Approximation 17, no. 4 (December 1, 2001): 479–513. https://doi.org/10.1007/s00365-001-0001-0.
    Full Text
  - Cohen, A., W. Dahmen, I. Daubechies, and R. Devore. “Tree Approximation and Optimal Encoding.” Applied and Computational Harmonic Analysis 11, no. 2 (September 1, 2001): 192–226. https://doi.org/10.1006/acha.2001.0336.
    Full Text
  - Balan, R., I. Daubechies, and V. Vaishampayan. “The analysis and design of windowed fourier frame based multiple description source coding schemes.” Ieee Transactions on Information Theory 46, no. 7 (December 1, 2000): 2491–2536. https://doi.org/10.1109/18.887860.
    Full Text
  - Cvetkovic, Z., and I. Daubechies. “Single-bit oversampled A/D conversion with exponential accuracy in the bit-rate.” Data Compression Conference Proceedings, January 1, 2000, 343–52.
  - Daubechies, I., I. Guskov, P. Schröder, and W. Sweldens. “Wavelets on irregular point sets.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 357, no. 1760 (January 1, 1999): 2397–2413. https://doi.org/10.1098/rsta.1999.0439.
    Full Text
  - Daubechies, I., I. Guskov, and W. Sweldens. “Regularity of irregular subdivision.” Constructive Approximation 15, no. 3 (January 1, 1999): 381–426. https://doi.org/10.1007/s003659900114.
    Full Text
  - Daubechies, I. “Preface.” Wavelet Analysis and Its Applications 9, no. C (December 1, 1998): 5. https://doi.org/10.1016/S1874-608X(98)80024-1.
    Full Text
  - Donoho, D. L., M. Vetterli, R. A. Devore, and I. Daubechies. “Data compression and harmonic analysis.” Ieee Transactions on Information Theory 44, no. 6 (December 1, 1998): 2435–76. https://doi.org/10.1109/18.720544.
    Full Text
  - Calderbank, A. R., I. Daubechies, W. Sweldens, and B. L. Yeo. “Wavelet Transforms That Map Integers to Integers.” Applied and Computational Harmonic Analysis 5, no. 3 (January 1, 1998): 332–69. https://doi.org/10.1006/acha.1997.0238.
    Full Text
  - Daubechies, I. “Recent results in wavelet applications.” Journal of Electronic Imaging 7, no. 4 (January 1, 1998): 719–24. https://doi.org/10.1117/1.482659.
    Full Text
  - Daubechies, I., and W. Sweldens. “Factoring Wavelet Transforms into Lifting Steps.” Journal of Fourier Analysis and Applications 4, no. 3 (January 1, 1998). https://doi.org/10.1007/bf02476026.
    Full Text
  - Calderbank, A. R., I. Daubechies, W. Sweldens, and B. L. Yeo. “Lossless image compression using integer to integer wavelet transforms.” Ieee International Conference on Image Processing 1 (December 1, 1997): 596–99.
  - Chassande-Mottin, E., I. Daubechies, F. Auger, and P. Flandrin. “Differential reassignment.” Ieee Signal Processing Letters 4, no. 10 (December 1, 1997): 293–94. https://doi.org/10.1109/97.633772.
    Full Text
  - Daubechies, I. “From the Original Framer to Present-Day Time-Freuency and Time-Scale Frames.” Journal of Fourier Analysis and Applications 3, no. 5 (December 1, 1997).
  - Unser, M., and I. Daubechies. “On the approximation power of convolution-based least squares versus interpolation.” Ieee Transactions on Signal Processing 45, no. 7 (December 1, 1997): 1697–1711. https://doi.org/10.1109/78.599940.
    Full Text
  - Cohen, A., I. Daubechies, and G. Plonka. “Regularity of Refinable Function Vectors.” Journal of Fourier Analysis and Applications 3, no. 3 (January 1, 1997). https://doi.org/10.1007/bf02649113.
    Full Text
  - Daubechies, I. “Where do wavelets come from? - a personal point of view.” Proceedings of the Ieee 84, no. 4 (April 1, 1996): 510–13. https://doi.org/10.1109/5.488696.
    Full Text
  - Cohen, A., I. Daubechies, and A. Ron. “How smooth is the smoothest function in a given refinable space?” Applied and Computational Harmonic Analysis 3, no. 1 (January 1, 1996): 87–89. https://doi.org/10.1006/acha.1996.0008.
    Full Text
  - Cohen, A., and I. Daubechies. “A new technique to estimate the regularity of refinable functions.” Revista Matematica Iberoamericana 12, no. 2 (January 1, 1996): 527–91. https://doi.org/10.4171/RMI/207.
    Full Text
  - Daubechies, I., and Y. Huang. “How does truncation of the mask affect a refinable function?” Constructive Approximation 11, no. 3 (September 1, 1995): 365–80. https://doi.org/10.1007/BF01208560.
    Full Text
  - Friedlander, S., J. S. Birman, and I. Daubechies. “A celebration or women in mathematics.” Notices of the American Mathematical Society 42, no. 1 (January 1, 1995): 32–42.
  - 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): 237–57. https://doi.org/10.1016/B978-0-12-632370-2.50013-1.
    Full Text
  - Daubechies, I., H. J. Landau, and Z. Landau. “Gabor Time-Frequency Lattices and the Wexler-Raz Identity.” Journal of Fourier Analysis and Applications 1, no. 4 (January 1, 1994): 437–78. https://doi.org/10.1007/s00041-001-4018-3.
    Full Text
  - Daubechies, I., and Y. Huang. “A decay theorem for refinable functions.” Applied Mathematics Letters 7, no. 4 (January 1, 1994): 1–4. https://doi.org/10.1016/0893-9659(94)90001-9.
    Full Text
  - Cohen, A., I. Daubechies, and P. Vial. “Wavelets on the interval and fast wavelet transforms.” Applied and Computational Harmonic Analysis 1, no. 1 (January 1, 1993): 54–81. https://doi.org/10.1006/acha.1993.1005.
    Full Text
  - Daubechies, I. “Two Theorems on Lattice Expansions.” Ieee Transactions on Information Theory 39, no. 1 (January 1, 1993): 3–6. https://doi.org/10.1109/18.179336.
    Full Text
  - Daubechies, I., and J. C. Lagarias. “Sets of matrices all infinite products of which converge.” Linear Algebra and Its Applications 161, no. C (January 15, 1992): 227–63. https://doi.org/10.1016/0024-3795(92)90012-Y.
    Full Text
  - Antonini, M., M. Barlaud, P. Mathieu, and I. Daubechies. “Image coding using wavelet transform.” Ieee Transactions on Image Processing : A Publication of the Ieee Signal Processing Society 1, no. 2 (January 1992): 205–20. https://doi.org/10.1109/83.136597.
    Full Text
  - Cohen, A., I. Daubechies, and J. ‐. Feauveau. “Biorthogonal bases of compactly supported wavelets.” Communications on Pure and Applied Mathematics 45, no. 5 (January 1, 1992): 485–560. https://doi.org/10.1002/cpa.3160450502.
    Full Text
  - Cohen, A., and I. Daubechies. “A stability criterion for biorthogonal wavelet bases and their related subband coding scheme.” Duke Mathematical Journal 68, no. 2 (January 1, 1992): 313–35. https://doi.org/10.1215/S0012-7094-92-06814-1.
    Full Text
  - Antonini, M., M. Barlaud, P. Mathieu, and I. Daubechies. “Image coding using vector quantization in the wavelet transform domain.” Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings 4 (December 1, 1990): 2297–2300.
  - Daubechies, I. “The Wavelet Transform, Time-Frequency Localization and Signal Analysis.” Ieee Transactions on Information Theory 36, no. 5 (January 1, 1990): 961–1005. https://doi.org/10.1109/18.57199.
    Full Text
  - Daubechies, I. “Wavelets: A tool for time-frequency analysis,” December 1, 1989, 98.
  - Daubechies, I. “Wavelet transform, time-frequency localization and signal analysis” 25 n 13 (December 1, 1988): 42.
  - Daubechies, I., and T. Paul. “Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations.” Inverse Problems 4, no. 3 (December 1, 1988): 661–80. https://doi.org/10.1088/0266-5611/4/3/009.
    Full Text
  - Daubechies, I. “Orthonormal bases of compactly supported wavelets.” Communications on Pure and Applied Mathematics 41, no. 7 (January 1, 1988): 909–96. https://doi.org/10.1002/cpa.3160410705.
    Full Text
  - Daubechies, I. “Time-Frequency Localization Operators: A Geometric Phase Space Approach.” Ieee Transactions on Information Theory 34, no. 4 (January 1, 1988): 605–12. https://doi.org/10.1109/18.9761.
    Full Text
  - Daubechies, I., and A. Grossmann. “Frames in the bargmann space of entire functions.” Communications on Pure and Applied Mathematics 41, no. 2 (January 1, 1988): 151–64. https://doi.org/10.1002/cpa.3160410203.
    Full Text
  - Daubechies, I., J. R. Klauder, and T. Paul. “Wiener measures for path integrals with affine kinematic variables.” Journal of Mathematical Physics 28, no. 1 (January 1, 1987): 85–102. https://doi.org/10.1063/1.527812.
    Full Text
  - Daubechies, I., A. Grossmann, and Y. Meyer. “Painless nonorthogonal expansions.” Journal of Mathematical Physics 27, no. 5 (January 1, 1986): 1271–83. https://doi.org/10.1063/1.527388.
    Full Text
  - Daubechies, I., and J. R. Klauder. “Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II.” Journal of Mathematical Physics 26, no. 9 (January 1, 1985): 2239–56. https://doi.org/10.1063/1.526803.
    Full Text
  - Daubechies, I. “One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum.” Communications in Mathematical Physics 94, no. 4 (December 1, 1984): 523–35. https://doi.org/10.1007/BF01403885.
    Full Text
  - Daubechies, I., and E. H. Lieb. “Relativistic Molecules with Coulomb Interaction.” North Holland Mathematics Studies 92, no. C (January 1, 1984): 143–48. https://doi.org/10.1016/S0304-0208(08)73689-2.
    Full Text
  - Klauder, J. R., and I. Daubechies. “Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians.” Physical Review Letters 52, no. 14 (January 1, 1984): 1161–64. https://doi.org/10.1103/PhysRevLett.52.1161.
    Full Text
  - Daubechies, I. “An uncertainty principle for fermions with generalized kinetic energy.” Communications in Mathematical Physics 90, no. 4 (December 1, 1983): 511–20. https://doi.org/10.1007/BF01216182.
    Full Text
  - Daubechies, I., and E. H. Lieb. “One-electron relativistic molecules with Coulomb interaction.” Communications in Mathematical Physics 90, no. 4 (December 1, 1983): 497–510. https://doi.org/10.1007/BF01216181.
    Full Text
  - Daubechies, I., and J. R. Klauder. “Measures for more quadratic path integrals.” Letters in Mathematical Physics 7, no. 3 (May 1, 1983): 229–34. https://doi.org/10.1007/BF00400438.
    Full Text
  - Daubechies, I. “Continuity statements and counterintuitive examples in connection with Weyl quantization.” Journal of Mathematical Physics 24, no. 6 (January 1, 1982): 1453–61. https://doi.org/10.1063/1.525882.
    Full Text
  - Daubechies, I., A. Grossmann, and J. Reignier. “An integral transform related to quantization. II. Some mathematical properties.” Journal of Mathematical Physics 24, no. 2 (January 1, 1982): 239–54. https://doi.org/10.1063/1.525699.
    Full Text
  - Klauder, J. R., and I. Daubechies. “Measures for path integrals.” Physical Review Letters 48, no. 3 (January 1, 1982): 117–20. https://doi.org/10.1103/PhysRevLett.48.117.
    Full Text
  - Daubechies, I., and J. R. Klauder. “Constructing measures for path integrals.” Journal of Mathematical Physics 23, no. 10 (January 1, 1981): 1806–22. https://doi.org/10.1063/1.525234.
    Full Text
  - Daubechies, I. “On the distributions corresponding to bounded operators in the Weyl quantization.” Communications in Mathematical Physics 75, no. 3 (October 1, 1980): 229–38. https://doi.org/10.1007/BF01212710.
    Full Text
  - Aerts, D., and I. Daubechies. “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 (January 1, 1979): 19–27. https://doi.org/10.1007/BF00959534.
    Full Text
  - Aerts, D., and I. Daubechies. “A characterization of subsystems in physics.” Letters in Mathematical Physics 3, no. 1 (January 1, 1979): 11–17. https://doi.org/10.1007/BF00959533.
    Full Text
  - Daubechies, I., and A. Grossmann. “An integral transform related to quantization.” Journal of Mathematical Physics 21, no. 8 (January 1, 1979): 2080–90. https://doi.org/10.1063/1.524702.
    Full Text
  - Daubechies, I. “An application of hyperdifferential operators to holomorphic quantization.” Letters in Mathematical Physics 2, no. 6 (November 1, 1978): 459–69. https://doi.org/10.1007/BF00398498.
    Full Text
  - Cornelis, B., H. Yang, A. Goodfriend, N. Ocon, J. Lu, and I. Daubechies. “Removal of Canvas Patterns in Digital Acquisitions of Paintings (Accepted).” Ieee Transactions on Image Processing, n.d.
    Open Access Copy
  - Xu, J. X., H. Y. Yang, and I. D. Daubechies. “Recursive Diffeomorphism-Based Regression for Shape Functions (Submitted),” n.d.
    Open Access Copy
- Book Sections
  - Daubechies, I. “Wavelets at your service.” In The Art And Practice Of Mathematics: Interviews At The Institute For Mathematical Sciences, National University Of Singapore, 2010-2020, 48–57, 2021.
  - Daubechies, I., and S. Maes. “A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models.” In Wavelets in Medicine and Biology, 527–46, 2017.
  - Voronin, S., and I. Daubechies. “An iteratively reweighted least squares algorithm for sparse regularization.” In Contemporary Mathematics, 693:391–411, 2017. https://doi.org/10.1090/conm/693/13941.
    Full Text
  - Brown, K., and M. Cartmill. “Foreword (In preparation).” In The Scientific Bases of Human Anatomy by C.O. Oxnard. Hoboken, NJ: Wiley-Blackwell, n.d.
- Conference Papers
  - Pu, W., J. Huang, B. Sober, N. Daly, C. Higgitt, P. L. Dragotti, I. Daubechies, and M. R. D. Rodrigues. “A Learning Based Approach to Separate Mixed X-Ray Images Associated with Artwork with Concealed Designs.” In European Signal Processing Conference, 2021-August:1491–95, 2021. https://doi.org/10.23919/EUSIPCO54536.2021.9616096.
    Full Text
  - Pu, W., B. Sober, N. Daly, C. Higgitt, I. Daubechies, and M. R. D. Rodrigues. “A connected auto-encoders based approach for image separation with side information: With applications to art investigation.” In Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings, 2020-May:2213–17, 2020. https://doi.org/10.1109/ICASSP40776.2020.9054651.
    Full Text
  - Deligiannis, Nikos, João F. C. Mota, Bruno Cornelis, Miguel R. D. Rodrigues, and Ingrid Daubechies. “Multi-Modal Dictionary Learning for Image Separation With Application in Art Investigation.” In Ieee Transactions on Image Processing : A Publication of the Ieee Signal Processing Society, 26:751–64, 2017. https://doi.org/10.1109/tip.2016.2623484.
    Full Text
  - Deligiannis, N., J. F. C. Mota, B. Cornelis, M. R. D. Rodrigues, and I. Daubechies. “X-ray image separation via coupled dictionary learning.” In Proceedings International Conference on Image Processing, Icip, 2016-August:3533–37, 2016. https://doi.org/10.1109/ICIP.2016.7533017.
    Full Text
  - Yin, R., E. Monson, E. Honig, I. Daubechies, and M. Maggioni. “Object recognition in art drawings: Transfer of a neural network.” In Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings, 2016-May:2299–2303, 2016. https://doi.org/10.1109/ICASSP.2016.7472087.
    Full Text
  - Yin, R., D. Dunson, B. Cornelis, B. Brown, N. Ocon, and I. Daubechies. “Digital cradle removal in X-ray images of art paintings.” In 2014 Ieee International Conference on Image Processing, Icip 2014, 4299–4303, 2014. https://doi.org/10.1109/ICIP.2014.7025873.
    Full Text
  - Bourguignon, J. P., I. Daubechies, M. H. Kim, and Y. Park. “Why STEM (science, technology, engineering and mathematics)?” In Proceeding of the International Congress of Mathematicans, Icm 2014, 1:787–97, 2014.
  - Puente, Jesus, Douglas M. Boyer, Justin T. Gladman, and Ingrid C. Daubechies. “Automated approaches to geometric morphometrics.” In American Journal of Physical Anthropology, 150:226–226. WILEY-BLACKWELL, 2013.
    Link to Item
  - Rudin, C., I. Daubechies, and R. E. Schapire. “On the dynamics of boosting.” In Advances in Neural Information Processing Systems, 2004.
  - Cvetković, Z., I. Daubechies, and B. F. Logan. “Interpolation of bandlimited functions from quantized irregular samples.” In Data Compression Conference Proceedings, 2002-January:412–21, 2002. https://doi.org/10.1109/DCC.2002.999981.
    Full Text
  - Daubechies, I. “Recent results in wavelet applications.” In Proceedings of Spie the International Society for Optical Engineering, 3391:2–9, 1998. https://doi.org/10.1117/12.304919.
    Full Text
  - Moayeri, N., I. Daubechies, Q. Song, and H. S. Wang. “Wavelet transform image coding using trellis coded vector quantization.” In Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings, 4:405–8, 1992. https://doi.org/10.1109/ICASSP.1992.226350.
    Full Text
Teaching & Mentoring
Recent Courses
Scholarly, Clinical, & Service Activities
Presentations & Appearances
Outreach & Engaged Scholarship
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
Service to Duke
- Alumni Liaison/External Relations. Duke Mathematics Department. August 2019 2019

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.

Education, Training, & Certifications

Previous Appointments & Affiliations

Leadership & Clinical Positions at Duke

In the News

Awards & Honors

Subject Headings

Selected Grants

External Relationships

Selected Publications

Academic Articles

Book Sections

Conference Papers

Recent Courses

Presentations & Appearances

Outreach & Engaged Scholarship

Service to the Profession

Service to Duke