Research

Education
Ph.D. in Mathematics, University of California, Davis, 2002.
B.A. in Mathematics, University of California, Berkeley, 1997.

Postdoctoral Experience
Applied Mathematics Department, University of Waterloo, Canada (2002-2003).
Mathematics Department, University of California, Los Angeles (2003-2006).
Signal and Image Processing Lab (ETIS), CNRS, France (2006-2007).

Research Interest
Applied Mathematics and Scientific Computing:
Numerical partial differential equations
Multilinear algebra, Numerical linear algebra
Nonlinear optimal control, Infinite-dimensional systems
Optimization
Inverse Problems
Applications: wireless communication, radio-frequency ablation of liver tumors, unmanned aircraft vehicles (UAVs) system formation, hysteresis of smart materials

Here's my current cv.

Publications

Book Chapters

(With A. Asatryan, V. Attarian, Y.R. Huang, K.K. Leung, A. Joshi, V. Voroninski, M. Aboulian, K. McBride) Implementations of control laws for motion camouflage in a pursuit-evasion system, Proceedings of IFIP Conference on Systems Modeling and Optimization, Cracow, July 2007, submitted. UCLA CAM Report (06-62).

(With A. J. Krener) Patchy Solution of the HJB PDE, In A. Chiuso, A. Ferrante and S. Pinzoni, eds, Modeling, Estimation and Control, Lecture Notes in Control and Information Sciences, 364, pp. 251-270, 2007.

(With K. Morris) Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations, In J. P. Zolesio and J. Cagnol, eds, Control and Boundary Analysis, Lecture Notes in Pure Appl. Math.;v. 240, CRC Press, Boca Raton 2005. UCLA CAM Report (04-25).

Journal Papers

(With L. De Lathauwer and S. Kindermann) Regularization methods in tensor decomposition, in preparation.

(With L. De Lathauwer) Tensor block term decomposition with Hankel structure, in preparation.

(With L. De Lathauwer) Decomposition of higher-order tensor using convex programming, submitted.

(With K. Morris) Approximation of low rank solutions for linear quadratic control of partial differential equations, to appear at Computational Optimization and Applications, 2008.

(With S. Kindermann) Optimal control as a regularization method for ill-posed problems, J. Inverse and Ill-Posed Problems, Volume 14, Number 7, 2006, pp. 685-703. UCLA CAM Report (05-14).

(With C.-Y. Kao and S. Osher) The Lax-Friedrichs Sweeping Method for Optimal Control Problem in Continuous and Hybrid Dynamics, J. Nonlinear Analysis, 63 (5-7):e1561-e1572, 2005. UCLA CAM Report (04-24).

Local Stable Manifold for the Bidirectional Discrete-Time Dynamics, submitted to SICON.

Refereed Conference Proceedings

(With A. J. Krener) Patchy cost and feedback for the Hamilton-Jacobi-Bellman PDE, to appear in the Proceedings of the Mathematical Theory of Networks and Systems, Blacksburg, Virginia, July 2008.

(With L. De Lathauwer and S. Kindermann) Swamp reducing technique for tensor decomposition, to appear in the Proceedings of the European Signal Processing Conference, Lausanne, August 2008.

(With K. Morris) Iterative solution of algebraic Riccati equations for damped systems, Proceedings of the IEEE Conference on Decision and Control, San Diego, December 2006. UCLA CAM Report (06-63).

(With K. Morris) Iterative Solution of Algebraic Riccati Equations using a Modified Newton-Klienman Method, Proceedings of the Mathematical Theory of Networks and Systems, Brussels, July 2004. UCLA CAM Report (05-15).

(With A. J. Krener) Solutions of Hamilton-Jacobi-Bellman Equations, Proceedings of the IEEE Conference on Decision and Control, Sydney, pp.570-574, December 2000.

Technical Reports

(With A. King et al.) Web Hosting Service Level Agreements, IBM Research Report, RC22031, January 2002. Also in Proceedings of the 5th Pacific Institute for Mathematical Sciences 2001 Industrial Problem Solving Workshop, University of Washington, Seattle, 2001.

Thesis
Local Solutions of the Dynamic Programming Equations and the Hamilton- Jacobi-Bellman PDE, PhD Thesis, University of California, Davis, August 2002. ArXiv: math.OC/ 0208240.

Conferences

2009
SIAM Conference Control and Its Applications, July 6-8, Denver, Colorado. (Joint with 2009 SIAM Annual Meeting)
Conference on Applied Inverse Problems, July 20-24, Vienna, Austria.
24th IFIP TC 7 Conference on System Modeling and Optimization, July 27-31, Buenos Aires, Argentina.
European Control Conference, August 23-26, Budapest, Hungary.
17th European Signal Processing Conference, August 24-28, Glasgow, Scotland.

2008
3rd Biennual Regional Meeting on Nonlinear Control and its Applications, May 8-9, Waterloo, Ontario, Canada.
SIAM Conference on Optimization, May 10-13, Boston, Massachusetts.
2008 World Congress of Nonlinear Analysts , July 2-July 9, Orlando, Florida.
2008 SIAM Annual Meeting, July 7-11, San Diego, California. (joint with SIAM Conference on Imaging Science)
Mathematical Theory of Networks and Systems, July 27-August 1, Virginia Tech.
16th European Signal Processing Conference, August 25-29, Lausanne, Switzerland.
Hot Topics Workshop: Multi-Manifold Data Modeling and Applications, October 27-30, IMA, Minneapolis, Minnesota.

2007
Short Course at IMA: Compressive Sampling and Frontiers in Signal Processing, June 4-15, IMA, Minneapolis, Minnesota.
SIAM Conference Control and Its Applications, June 29-July 1, San Francisco, California.
SciCADE 2007, International Conference on SCIentific Computation And Differential Equations, July 9-July 13, Saint-Malo, France.
2007 American Control Conference , July 11-13, New York City, New York.
6th International Congress on Industrial and Applied Mathematics (ICIAM 07), July 16-20, Zurich, Switzerland.
23rd IFIP TC 7 Conference on System Modeling and Optimization, July 23-27, Cracow, Poland.
Cemracs 2007: Summer School on Scientific Computing, July 23 - August 31, Marseille, France.
International Conference on Modeling, Estimation and Control, October 4-5, Venice, Italy.
Workshops II: Numerical Tools and Fast Algorithms for Massive Data Mining, Search Engines and Applications, October 22-26, IPAM, Los Angeles, California.


2006
Workshop on Learning and Information in Games and Control, March 22-23, Caltech.
45th IEEE Conference on Decision and Control, December 13-15, San Diego, California.


2005
10th Southern California Nonlinear Control Workshop, May 13-14, UC San Diego.
6th SIAM Conference on Control and Its Applications, July 11-14, New Orleans, Louisiana. (Joint with 2005 SIAM Annual Meeting)
22nd IFIP TC 7 Conference on System Modeling and Optimization, July 18-22, Turin, Italy.
Summer School: Principles and Applications of Control in Quantum Systems, August 8-14, Caltech.
44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, December 12-15, Seville, Spain.

Old Slides

IFIP, Turin, Italy (pdf)
SIAM Control, New Orleans, Louisiana, (talk1) and (talk2)
Graduate Student Outreach, UCLA, (pdf)
Southern California Nonlinear Control Workshop, UC San Diego (pdf) (Also given at UCLA Systems and Controls Symposium)
CPPP, Orlando, Florida (pdf) (I made these slides using ppower4.)
Applied Math Colloquium, UCLA and USC (pdf)
IFIP, Sophia Antipolis, France (ps, pdf)
WIM, University of Waterloo, Canada (ps, pdf)
Applied Math Colloquium, Rice University (ps, pdf)
INRIA, Rocquencourt, France (ps, pdf)