Mohamed-Ali
Belabbas
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Postdoctoral Fellow in
Applied Mathematics
Harvard University |
| Office: |
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|
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| 338 Maxwell
Dworkin |
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Phone: |
(617) 495-7871 |
| 33
Oxford Street |
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Fax: |
(617) 496-6404 |
| Cambridge, MA 02138
USA |
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Email: |
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I am a postdoctoral fellow in applied mathematics at
Harvard University and my current research interests are in control theory,
complex networks and systems and nonlinear dynamics. My academic
employment history is as follows:
Postdoctoral Fellow -- Harvard
University, Cambridge, MA
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Nov. 2006 to
Present
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Visiting Fellow -- Newton
Institute for Mathematical Sciences, Cambridge,
UK
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Spring
2008
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Research Assistant -- Harvard
University, Cambridge, MA
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Sep. 2001 to
Nov 2006
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I majored applied mathematics and engineering, and had a strong interest in computer science, statistics and theoretical
neuroscience.
PhD in applied
mathematics, Harvard University
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June 2003 -
Nov. 2006
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MSc in applied
mathematics, Harvard University
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Sep. 2001 -
June 2003
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Ingénieur Centralien, École
Centrale Paris
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June 2001
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Ingénieur Civil Électricien,
Université Catholique de Louvain
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June 2001
|
My research interests cover different areas of engineering and applied
mathematics. Here
are some teasers, aka keywords:
- Control theory: Nonlinear and geometric
control, control of decentralized and networked
systems, autonomous systems, high-dimensional systems,
control and navigation.
- Dynamical systems: Completely integrable
systems, hamiltonian dynamics, stochastic dynamics, applications to theoretical neuroscience and analog computation.
- Computational methods in control and
estimation: Control and estimation of networked systems, adhoc
networks, analysis of large networks and datasets.
I am not teaching this semester. The courses I have taught
in the past include:
- ES 255 Estimation and detection of
signals
- ES 201 Decision Theory
- ES 203 Stochastic Control
- ES 209 Nonlinear Control
Please let me know if you have
trouble getting any of them, and I will send you a copy via
email.
- M.-A. Belabbas.
Networks of hamiltonian systems and feedback,
Systems & Control Letters 58 (2009), pp.
217-224
- M.-A.
Belabbas and P. J. Wolfe. Spectral methods in
machine learning: New strategies for very large
datasets, Proceedings of the National Academy of
Sciences of the USA, 2009 106:369-374
- M.-A. Belabbas.
Gradient flows on Kac-Moody algebras and the
periodic Toda lattice, in Communications in
Information and Systems, 8 (2008),pp. 107--126. Special Issue on the
Legacy of R. Brockett.
- M.-A.
Belabbas and P. J. Wolfe. High-dimensional
matrix-variate data: Algorithms and applications,
2009. Submitted to the Philosophical Transactions,
Series A, of the Royal Society.
- M.-A.
Belabbas and P. J. Wolfe. On the approximation of
matrix products and positive definite matrices, to
be submitted to Linear Algebra and its
Applications, 2008. Preprint available.
- M.-A. Belabbas
and P. J Wolfe. On sparse representations of linear
operators and the approximation of matrix products,
In Proceedings of the 42nd Annual Conference on
Information Sciences and Systems, pages 258-263,
2008.
- M.-A.
Belabbas and P. J. Wolfe. Fast low-rank
approximation for covariance matrices, In
Proceedings of the 2nd IEEE International Workshop
on Computational Advances in Multi-Sensor Adaptive
Processing, pages 293-296, 2007.
- M.-A. Belabbas and R.W.
Brockett. Input-output hamiltonian systems and
neural signal processing, In Proceedings of the
45th IEEE Conference onthe Decision and Control,
pages 3351-3356, 2006.
- M.-A. Belabbas.
Hamiltonian Systems for Computation, 2006, PhD
Thesis, Harvard University
- M.-A. Belabbas.
Joint Channel Estimation and Equalization for
Convolutional Turbo- Codes, 2001, UCLouvain/Auto
Technical report (in French)
An incomplete list of soon to be submitted papers:
- M.-A.
Belabbas. Non-commutative leaky integrate and fire
models, 2009. To be submitted.
- M.-A.
Belabbas. Inputs, outputs and integrable systems,
2009. Working paper.
- M.-A.
Belabbas. On optimal linear observers, 2009.
Working paper.
- M.-A.
Belabbas. A new algebraic model for
subitization, 2009. Working paper.
An expository paper I wrote a while ago about the Lefschetz
fixed point theorem and its applications, it may be of
interest to some: