Professor Simon Foucart
After earning a Masters of Engineering from Ecole Centrale Paris, Simon Foucart received his PhD in Mathematics from the University of Cambridge in 2006.
He took two postdoctoral positions, at Vanderbilt University and at Paris 6 University, before joining Drexel University in 2010 and moving to the University of Georgia in 2013. Since 2015, he has been with Texas A&M University, where he became Professor and Presidential Impact Fellow in 2019. He also held short visiting appointments at University of Bonn, University of South Florida, Hong Kong University of Science and Technology, CNRS Toulouse, University of Wisconsin-Madison, Los Alamos National Laboratory, and Isaac Newton Institute.
Dr. Foucart’s most influential work to-date revolves around the field of Compressive Sensing. His contribution was recognized by the 2010 Best Paper Award from the Journal of Complexity. His current interests include the mathematical aspects of Metagenomics, Optimization, Deep Learning, and Data Science at large. He serves on the editorial boards for five journals and is an editor for one book series.
Aside from 65+ peer-reviewed research articles, Dr. Foucart has written two graduate-level textbooks: ‘A Mathematical Introduction to Compressive Sensing’ (with Holger Rauhut, Birkhauser, 2013) and ‘Mathematical Pictures at a Data Science Exhibition’ (Cambridge University Press, 2022).
Select publications
- I. Daubechies, R. DeVore, S. Foucart, B. Hanin, G. Petrova, Nonlinear approximation and (deep) ReLU networks.
Constructive Approximation, 55, 127–172, 2022. - S. F.oucart, J. B. Lasserre, Determining projection constants of univariate polynomial spaces.
Journal of Approximation Theory, 235, 74–91, 2018. - R. Baraniuk, S. Foucart, D. Needell, Y. Plan, M. Wootters, Exponential decay of reconstruction error from binary measurements of sparse signals.
IEEE Transactions on Information Theory, 63/6, 3368–3385, 2017. - S. Foucart, Stability and robustness of $\ell_1$-minimizations with Weibull matrices and redundant dictionaries.
Linear Algebra and its Applications, 441, 4–21, 2014. - D. Koslicki, S. Foucart, G. Rosen, Quikr: a method for rapid reconstruction of bacterial communities via compressive sensing.
Bioinformatics, 29/17, 2096–2102, 2013. - S. Foucart, Hard thresholding pursuit: an algorithm for compressive sensing.
SIAM Journal on Numerical Analysis, 49/6, 2543–2563, 2011. - S. Foucart, A. Pajor, H. Rauhut, T. Ullrich, The Gelfand widths of $\ell_p$-balls for $0 < p \le 1$.
Journal of Complexity, 26/6, 629–640, 2010. - S. Foucart, M.-J. Lai, Sparsest solutions of underdetermined linear systems via $\ell_q$-minimization for $0 < q \le 1$.
Applied and Computational Harmonic Analysis, 26/3, 395–407, 2009.
Select awards
- 2024: Heilbronn Distinguished Visiting Fellow, Isaac Newton Institute, Cambridge, U.K.
- 2019: Presidential Impact Fellow, Texas A&M University
- 2012: Antelo Devereux Award for Young Faculty, Drexel University
- 2010: Journal of Complexity Best Paper Award
