Publications

Published Papers and Preprints


1. (With P. Hopke, M. Leung, N. Li) Block Tensor Decomposition for Source Apportionment of Air Pollution, submitted (http://arxiv.org/abs/1110.4133)
   
   
2. (With S. Kindermann) Analysis and Approximation of the Canonical Polyadic Tensor Decomposition, submitted (http://arxiv.org/abs/1109.3832)
   
   
3. (With N. Li, S. Kindermann) Some Convergence Results of a Regularized Alternating Least-Squares Method for Tensor Decomposition, submitted (http://arxiv.org/abs/1109.3831)
   
   
4. (With M. Brazell, N. Li, C. Tamon) Tensor and Matrix Inversions with Applications, submitted (http://arxiv.org/abs/1109.3830)
   
   
5. (With M. Opperman, T. Penderghest, C. Tamon) Tensors as Module Homomorphisms over Group Rings, submitted
   
   
6. (With N. Li) Sparseness Contraints on Nonnegative Tensor Decomposition, in the 44th IEEE Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, November 2010.
   
   
7. (With K. Morris) Approximation of low rank solutions for linear quadratic control of partial differential equations, Computational Optimization and Applications, 46 (1) (2010), pp. 93-111.
   
   
8. (With J. Holloway) Recovery of Tensor Data from Incomplete Measurement via Compressed Sampling, in the 43rd IEEE Asilomar Conference on Signals, Systems, and Computers, pp. 1310-1314, Pacific Grove, November 2009.
   
   
9. (With L. De Lathauwer) Low Multilinear Rank Tensor Decomposition via Semidefinite Programming, in the 17th Proceedings of the European Signal Processing Conference, Glasgow, August 2009.
   
   
10. (With L. De Lathauwer and S. Kindermann) Swamp reducing technique for tensor decomposition, in the 16th Proceedings of the European Signal Processing Conference, Lausanne, August 2008.
    
    
11. (With A. J. Krener) Patchy cost and feedback for the Hamilton-Jacobi-Bellman PDE, in the 18th Proceedings of the Mathematical Theory of Networks and Systems, Blacksburg, Virginia, July 2008.
    
    
12. (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.
    
    
13. (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. UCLA CAM Report (06-62).
    
    
14. (With K. Morris) Iterative solution of algebraic Riccati equations for damped systems, in the 45th Proceedings of the IEEE Conference on Decision and Control, San Diego, December 2006. UCLA CAM Report (06-63).
    
    
15. (With S. Kindermann) Optimal control as a regularization method for ill-posed problems, J. Inverse and Ill-Posed Problems, 14 (7), 2006, pp. 685-703. UCLA CAM Report (05-14).
    
    
16. (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).
    
    
17. (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):pp. 1561-1572, 2005. UCLA CAM Report (04-24).
    
    
18. Local Stable Manifold for the Bidirectional Discrete-Time Dynamics, Preprint.
    
    
19. (With K. Morris) Iterative Solution of Algebraic Riccati Equations using a Modified Newton-Klienman Method, in the 16th Proceedings of the Mathematical Theory of Networks and Systems, Brussels, July 2004. UCLA CAM Report (05-15).
    
    
20. (With A. J. Krener) Solutions of Hamilton-Jacobi-Bellman Equations, in the 39th Proceedings of the IEEE Conference on Decision and Control, Sydney, pp.570-574, December 2000.
    
    Thesis
    
    
21. 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.
    
    Technical Reports and Other Preprints
    
    
22. (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.
    
    
23. (With H. Tiesler and C. Bueskens) Parameter Identification in Radio-Frequency Ablation, International Association of Applied Mathematics and Mechanics (Gesellschaft fur Angewandte Mathematik und Mechanik) March 2008