Stéphane Mallat

Stéphane G. Mallat
Stéphane G. Mallat
	Stéphane Mallat
Born	24 October 1962; Paris, France
Nationality	French
Alma mater	Ecole Polytechnique
Known for	Multiresolution Analysis, Wavelet methods in signal processing
Awards	Prix Blaise Pascal (1997) French Academy of Sciences
	Scientific career
Fields	Applied mathematics
Institutions	Ecole Polytechnique, Ecole Normale Superieure
Doctoral advisor	Ruzena Bajcsy

Stéphane Georges Mallat is a French applied mathematician, Professor at Collège de France and École normale supérieure. 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.[1] He is currently Professor of Data Science at College de France.[2]

In 1998 he was a plenary speaker at the International Congress of Mathematicians in Berlin.[3]

Publications

A wavelet tour of signal processing: the sparse way, Academic Press, 1998, 3rd edn. 2009
Mallat, S.G. (1989). "A theory for multiresolution signal decomposition: the wavelet representation" (PDF). IEEE Transactions on Pattern Recognition and Machine Intelligence. 11 (7): 674–693. doi:10.1109/34.192463.
Mallat, Stephane G. (1989). "Multiresolution approximations and wavelet orthonormal bases of $L^{2}(R)$ ". Transactions of the American Mathematical Society. 315: 69–87. doi:10.1090/s0002-9947-1989-1008470-5. MR 1008470.
Mallat, S. (1996). "Wavelets for a vision". Proceedings of the IEEE (in French). 84 (4): 604–614. doi:10.1109/5.488702.

gollark: By changes I mean the slightly different styling.

gollark: I'm not really a fan of the changes MBS makes to autocomplete, can those be turned off?

gollark: Unfortunately this turns out to be rather hard.

gollark: So you'd be able to pick any server peered to mine and still get skynet traffic on it.

gollark: <@184468521042968577> Actually, I had a cooler idea - inter-server connectivity.

References

Stéphane Mallat at the Ecole normale supérieure (Paris).
Stéphane Mallat: Science des Donnees
Mallat, Stéphane (1998). "Applied mathematics meets signal processing". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 319–338.

External links

Home page at College de France
Stéphane Mallat publications indexed by Google Scholar

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[1] Stéphane Mallat at the Ecole normale supérieure (Paris).

[2] Stéphane Mallat: Science des Donnees

[3] Mallat, Stéphane (1998). "Applied mathematics meets signal processing". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 319–338.