- James B. Duke Professor of Mathematics and Electrical and Computer Engineering
- Professor in the Department of Mathematics
- Professor in the Department of Electrical and Computer Engineering (Joint)
Research Areas and Keywords
Geometry: Differential & Algebraic
Signals, Images & Data
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 57.11 (November 2004): 1413-1457. Full Text
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.
Daubechies, I, and Han, B. "Pairs of dual wavelet frames from any two refinable functions." Constructive Approximation 20.3 (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.
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 158.2 (2003): 679-710.
Cohen, A, Dahmen, W, Daubechies, I, and DeVore, R. "Harmonic analysis of the space BV." Revista Matematica Iberoamericana 19.1 (2003): 235-263.
Daubechies, I, Han, B, Ron, A, and Shen, Z. "Framelets: MRA-based constructions of wavelet frames." Applied and Computational Harmonic Analysis 14.1 (2003): 1-46. Full Text
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 48.7 (July 2002): 1895-1921. Full Text