Stéphane G. Mallat
|Born||24 October 1962|
|Alma mater||Ecole Polytechnique|
|Known for||Multiresolution Analysis, Wavelet methods in signal processing|
|Awards||Prix Blaise Pascal (1997) French Academy of Sciences|
|Institutions||Ecole Polytechnique, Ecole Normale Superieure|
|Doctoral advisor||Ruzena Bajcsy|
Stéphane Georges Mallat is a French applied mathematician, Professor at College de France and Ecole Normale Superieure. He has made some fundamental contributions to the development of wavelet theory in the late 1980s and early 1990s. He has also done work in applied mathematics, signal processing, music synthesis and image segmentation.
With Yves Meyer, he developed the Multiresolution Analysis (MRA) construction for compactly supported wavelets, which made the implementation of wavelets practical for engineering applications by demonstrating the equivalence of wavelet bases and conjugate mirror filters used in discrete, multirate filter banks in signal processing. He also developed (with Sifen Zhong) the Wavelet transform modulus maxima method for image characterization, a method that uses the local maxima of the wavelet coefficients at various scales to reconstruct images.
He introduced the scattering transform that constructs invariance for object recognition purposes. Mallat is the author of A Wavelet Tour of Signal Processing (ISBN 012466606X), a text widely used in applied mathematics and engineering courses.
He has held teaching positions at New York University, Massachusetts Institute of Technology, École polytechnique and at the Ecole normale supérieure. He is currently Professor of Data Science at College de France.
- A wavelet tour of signal processing: the sparse way, Academic Press, 1998, 3rd edn. 2009
- "A theory for multiresolution signal decomposition: the wavelet representation" (PDF). IEEE Transactions on Pattern Recognition and Machine Intelligence. 11 (7): 674–693. 1989. doi:10.1109/34.192463.
- "Multiresolution approximations and wavelet orthonormal bases of ". Transactions of the American Mathematical Society. 315: 69–87. 1989. doi:10.1090/s0002-9947-1989-1008470-5. MR 1008470.
- "Wavelets for a vision". Proceedings of the IEEE (in French). 84 (4): 604–614. 1996. doi:10.1109/5.488702.