Chercheurs

Mathématiques / DAUBECHIES, INGRID

vmarino

Position

Professor, Princeton University
Department of Mathematics
and
Program in Applied and Computational Mathematics
Princeton, USA.

Thèmes de recherche

Her research interests focus on the mathematical aspects of time-frequency analysis, in particular wavelets, as well as applications.

Prix et récompenses

* Louis Empain Prize for Physics (Belgium, 1984)
* Fellow of the John D. and Catherine T. MacArthur Foundation (1992 to 1997)
* Member of the American Academy of Arts and Sciences (elected 1993)
* American Mathematical Society Steele Prize for Exposition (1994)
* American Mathematical Society Ruth Lyttle Satter Prize (1997)
* The International Society for Optical Engineering Recognition of Outstanding Achievement (1998)
* Member of the National Academy of Sciences (elected 1998)
* IEEE Information Theory Society Golden Jubilee Award for Technological Innovation (1998)
* Fellow of The Institute of Electrical and Electronics Engineers, Inc. (1998)
* Foreign Member of the Royal Netherlands Academy of Arts and Sciences (elected 1999)
* Doctor Honoris Causa, Université Libre de Bruxelles, Belgium (2000)
* National Academy of Sciences Medal in Mathematics (2000)
* Eduard Rhein Foundation 2000 Basic Research Award for the invention, the mathematical advancement and the application of wavelets (2000)
* Doctor Honoris Causa, Université Polytechnique Fédérale, Lausanne, Switzerland (2001)
* William R. Kenan, Jr. Professorship at Princeton University (2004-present)
* Doctor Honoris Causa, Université Pierre et Marie Curie, Paris, France (2005)
* Gold Medal (Gouden Penning) of the Flemish Royal Academy of Arts and Sciences, Belgium (2005)
* Doctor Honoris Causa, Universita degli Studi di Genova, Genoa, Italy (2006)
* Doctor Honoris Causa, Universiteit Hasselt, Belgium (2008)
* ICIAM Pioneer Prize (2008)

Publications

S. Takerkart, M. Benharrosh, J. Haxby and I. Daubechies, Estimating spatially distributed patterns of brain activity in fMRI datasets by using ICA, , to appear in NeuroImage.

I. Daubechies, C. Gunturk, Y. Wang and O. Yilmaz, The golden ratio encoder, submitted.

I. Daubechies, R. DeVore, M. Fornasier and S. Gunturk, Iteratively re-weighted least squares minimization for sparse recovery, Commun. Pure Appl. Math. 2009, to appear.

J. Brodie, I. Daubechies, C. De Mol, D. Giannone and I. Loris, Sparse and stable Markowitz portfolios, PNAS, 106 (2009) pp. 12267--12272.

I. Daubechies, E. Roussos, S. Takerkart, M. Benharrosh, C. Golden, K. D\'Ardenne, W. Richter, J.D. Cohen and J. Haxby, ICA Algorithms for fMRI do NOT select for independence, , PNAS, 106 (2009) pp. 10415--10422.

C. Richard Johnson, Jr., 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, Signal Processing Magazine 25 pp. 37-48, 2008.

I. Daubechies, M. Fornasier and I. Loris, Accelerated projected gradient method for linear inverse problems with sparsity constraints, Journal of Fourier Analysis and Applications 14, pp. 764-792, 2008.

I. Loris, G. Nolet, I. Daubechies and A. Dahlen, Tomographic inversion using $1$-norm regularization of wavelet coefficients, , Geophysical Journal International 170 (1), pp. 359-370, May 2007.

I. Daubechies, G. Teschke and L. Vese, Iteratively solving linear inverse problems with general convex constraints, Inverse Problems and Imaging, 1(1), 29-46, 1 (1) pp.29-46, 2007.

I. Daubechies, O. Runborg and J. Zou, A sparse spectral method for homogenization multiscale problems, Multiscale Model. Sim. 6 (3) pp. 711-740, 2007.

Z. Cvetkovic, I. Daubechies and B. Logan, Single-Bit Oversampled A/D Conversion with Exponential Accuracy in the Bit-Rate, IEEE Trans. Inf. Theory, 53 , No. 11, 2007.

C. Rudin, R. E. Schapire and I. Daubechies, Analysis of Boosting Algorithms using the Smooth Margin Function,, The Annals of Statistics, 35 (2007) pp. 2723—2768..

I. Daubechies, R. DeVore, C.S. Güntürk and V.A. Vaishampayan, A/D Conversion with Imperfect Quantizers, IEEE Trans. Inf. Theory, 52 (3), pp. 874-885, 2006.

J. Zou, A. Gilbert, M. Strauss and I. Daubechies, Theoretical and Experimental Analysis of a Randomized Algorithm for Sparse Fourier Transform Analysis, , J. Comp. Physics, 211 (2), pp. 572-595, 2006.

I. Daubechies, \"Correction d\'erreurs et compression\", Mathématique et Pédagogie, No. 157, pp. 5-33, 2006.

I. Daubechies and O. Yilmaz, Robust and practical analog-to-digital conversion with exponential precision, IEEE Transactions on Information Theory 52 (8) pp. 3533-3545, 2006.

E. Pierpaoli, S. Anthoine, K. Huffenberger and I. Daubechies, Reconstructing Sunyaev-Zeldovich clusters in future CMB experiments, , Mon. Not. R. Astron. Soc. 359 (1), pp. 261-271, May 2005.

I. Daubechies and G. Teschke, Variational image restoration by means of wavelets: simultaneous decomposition, deblurring and denoising, Applied and Computational Harmonic Analysis, 19(1), 1-16, 2005. Journal 19 (1) pp. 1-16, 2005.

I. Daubechies and G. Teschke, Varitional image restoration by means of wavelets: simultaneous decomposition, deblurring and denoising, Appl. Comp. Harm. Anal., 19 (1), pp. 1-16, 2005.

I. Daubechies, K. Drakakis and T. Kovanova, A detailed study of the Attachment Strategies of New Autonomous Systems in the AS Connectivity Graph, Internet Mathematics, 2 (2), pp. 185-246, 2005.

I. Daubechies, M. Defrise and C. De Mol, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Comm. Pure Appl. Math, 57 (11), pp.1413-1457, 2004.

C. Rudin, I. Daubechies and R. Schapire, \"On the Dynamics of Boosting,\" in Advances in Neural Information Processing Systems 16, S. Thrun, L. Saul, B. Schölkopf (Eds.), MIT Press, Cambridge, MA, 2004.

C. Rudin, R. E. Schapire and I. Daubechies \"Boosting Based on a Smooth Margin,\" in Learning Theory 3120, J. Shawe-Taylor Y. Singer (Eds.), pp. 502-517, Springer Berlin / Heidelberg, 2004.

C. Rudin, I. Daubechies and R. E. Schapire, The Dynamics of AdaBoost: Cyclic Behavior and Convergence of Margins, J. Machine Learning Research, 5 (Dec), pp. 1557-1595, 2004.

I. Daubechies, O. Runborg and W. Sweldens, Normal Multiresolution Approximation of Curves, Const. Approx., 20 (3), pp. 399-463, 2004.

I. Daubechies and B. Han, Pairs of Dual Wavelet Frames From Any Two Refinable Functions, Const. Approx., 20 (3), pp. 325-352, 2004.

I. Daubechies and R. DeVore, Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order, Annals of Math., 158 (2), pp.679-710, 2003.

A. Cohen, W. Dahmen, I. Daubechies and R. DeVore, Harmonic analysis of the space BV, Rev. Mat. Iberoamericana, 19, pp. 235-262, 2003.

I. Daubechies, B. Han, A. Ron and Z. Shen, Framelets: MRA-Based constructions of Wavelet Frames, Appl. Comp. Harm. Anal., 14 (1), pp. 1-46, 2003.

R.V. Balan and I. Daubechies, Optimal Stochastic Encoding and Approximation Schemes Using Weyl-Heisenberg Sets, in Advances in Gabor Analysis, H.G. Feichtinger and T. Strohmer (Eds.), Birkhaeuser, Boston, pp. 259 - 320, 2003.

A.R. Calderbank and I. Daubechies, The Pros and Cons of Democracy, IEEE Trans. Inf. Theory, 48 (6), pp.1721-1725, 2002.

I. Daubechies and B. Han, The Canonical Dual Frame of a Wavelet Frame, Appl. Comp. Harm. Anal., 12 (3), pp. 269-285, 2002.

I. Daubechies and F. Planchon, Adaptive Gabor Transforms, Appl. Comp. Harm. Anal., 13 (1), pp. 1-21, 2002.

I. Daubechies, R. DeVore, C.S. Güntürk and V.A. Vaishampayan, \"Beta Expansions: A New Approach to Digitally Correct A/D Conversion\", in Proc. IEEE Int. Symp. Circuits and Systems (ISCAS) 2002, Phoenix, AZ, May 2002, vol.2, pp. II-784 - II-787, 2002.

I. Daubechies, I. Guskov and W. Sweldens, Commutation for Irregular Subdivision, Const. Approx., 17 (4), pp. 479 - 514, 2001.

A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore, Tree approximation and optimal encoding, Appl. Comp. Harm. Anal., 11 (2), pp. 192-226, 2001.

I. Daubechies, I. Guskov, P. Schröder, and W. Sweldens, Wavelets on Irregular Point Sets, Phil. Trans R. Soc. A, 357 (1760), pp. 2397-2413, 1999. Also as part of book entitled Wavelets: The Key to Intermittent Information?, B.W. Silverman and J.C. Vassilicos (Eds.), Oxford Univ. Press, USA, 2000.

R.V. Balan, I. Daubechies, and V. Vaishampayan, The Analysis and Design of Windowed Fourier Frame based Multiple Description Source Coding Schemes, IEEE Trans. Inf. Theory, 46 (7), pp. 2491-2536, 2000.

Z. Cvetkovic, I. Daubechies, Single-bit oversampled A/D conversion with exponential accuracy in the bit-rate, in Proc. Data Compression Conference (DCC) 2000, Snowbird, UT, Mar 2000, pp. 343-352, 2000.

D.L. Donoho, M. Vetterli, R.A. DeVore, I. Daubechies, Data compression and harmonic analysis, IEEE Trans. Inf. Theory, 44 (6), pp. 2435-2476, 1998.