Refereed Publications

  1. Rank Approximation of a Tensor with Applications in Color Image and Video Processing (With Ramin Goudarzi Karim and Da Yan), submitted [PDF] (https://arxiv.org/abs/1904.12375)

  2. Tensor Decompositions and Tensor Equations over Quaternion Algebra (With Zhuo-Heng and Qing-Wen), submitted [PDF] (https://arxiv.org/abs/1710.07552)

  3. Tensor Completion via the CP Decomposition (With Fatoumata Sanogo), Proceedings of the IEEE Asilomar Conference on Signals, Systems and Computers, Pacific Grove, October 2018 [PDF]

  4. On Accelerating the Regularized Alternating Least Squares Algorithm for Tensors (With Xiaofei Wang and Stefan Kindermann), Electronic Transactions on Numerical Analysis, 48, pp. 1-14, 2018. [PDF] (http://arxiv.org/abs/1507.04721)

  5. Low Rank Approximation of Tensors via Sparse Optimization (With Xiaofei Wang), Numerical Linear Algebra Appl., 25 (2), 2018 [PDF] (http://arxiv.org/abs/1504.05273)

  6. Adaptive Low Rank Approximation of Tensors (With Xiaofei Wang), 2015 IEEE International Conference on Computer Vision Workshop (ICCVW), pp. 939-945, Santiago, Chile, 2015 [PDF]

  7. Higher Order Orthogonal Iteration with Random Projections for Low Multilinear Rank Tensors (With Deonnia N. Pompey), in I. Hotz, T. Schultz (eds.), Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, Mathematics and Visualization, pp. 93-106, Springer International Publishing Switzerland, 2015. [PDF]

  8. Iterative Methods for Symmetric Outer Product Tensor Decompositions (With Na Li and Christina Glenn), Electronic Transactions on Numerical Analysis, 44, pp. 124-139, 2015. [PDF] (http://arxiv.org/abs/1312.7629)

  9. Tensor Restricted Isometry Property for Multilinear Sparse System for Gene Interactions (With Alexandra Fry), in the Proceedings of the IEEE Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, November 2014. [PDF]

  10. New Algorithms for Tensor Decomposition based on a Reduced Functional. (With Stefan Kindermann), Numerical Linear Algebra and Applications, 21 (3), pp. 542-570, 2014. [PDF] (http://arxiv.org/abs/1109.3832)

  11. Source Apportionment of Time and Size Resolved Ambient Particulate Matter. (With Philip Hopke, Na Li, Kumar Pramod and Steven Smith), J. Chemometrics and Intelligent Laboratory Systems, 129, pp. 15-20, 2013. [PDF] [PDF]

  12. Some Convergent Results of the Regularized Alternating Least-Squares for Tensor Decomposition. (With Stefan Kindermann and Na Li), Linear Algebra and Applications, 438 (2), pp. 796-812, 2013. [PDF] (http://arxiv.org/abs/1109.3831)

  13. Solving Multilinear Systems via Tensor Inversion. (With Michael Brazell, Na Li and Christino Tamon), SIAM Matrix Analysis, 34-2 (2013), pp. 542-570. [PDF] (http://arxiv.org/abs/1109.3830) or (simax)

  14. Video Detection Anomaly via Low-Rank and Sparse Decompositions. (With Jiebo Luo and Lam Tran), in the Proceedings of the IEEE New York Image Processing Workshop, Rochester, November 2012. [PDF]

  15. Randomized tensor-based algorithm for image classification. (With Ryan Sigurdson), in the Proceedings of the IEEE Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, November 2012. [PDF]

  16. Sparseness Constraints on Nonnegative Tensor Decomposition. (With Na Li), in the Proceedings of the IEEE Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, November 2010. [PDF]

  17. Approximation of low rank solutions for linear quadratic control of partial differential equations. (With Kirsten Morris) Computational Optimization and Applications, 46 (1) (2010), pp. 93-111. [PDF]

  18. Recovery of Tensor Data from Incomplete Measurement via Compressed Sampling. (With Jason Holloway), in the 43rd IEEE Asilomar Conference on Signals, Systems, and Computers, pp. 1310-1314, Pacific Grove, November 2009. [PDF]

  19. Low Multilinear Rank Tensor Decomposition via Semidefinite Programming. (With Lieven De Lathauwer), in the 17th Proceedings of the European Signal Processing Conference, Glasgow, August 2009. [PDF]

  20. Swamp reducing technique for tensor decomposition. (With Lieven De Lathauwer and Stefan Kindermann) in the 16th Proceedings of the European Signal Processing Conference, Lausanne, August 2008. [PDF]

  21. Patchy cost and feedback for the Hamilton-Jacobi-Bellman PDE. (With A. J. Krener), in the 18th Proceedings of the Mathematical Theory of Networks and Systems, Blacksburg, Virginia, July 2008. [PDF]

  22. Patchy Solution of the HJB PDE. (With Arthur J. Krener), 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. [PDF]

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

  24. Iterative solution of algebraic Riccati equations for damped systems. (With Kirsten Morris), in the 45th Proceedings of the IEEE Conference on Decision and Control, San Diego, December 2006. [PDF]

  25. Optimal control as a regularization method for ill-posed problems. (With Stefan Kindermann), J. Inverse and Ill-Posed Problems, 14 (7), 2006, pp. 685-703. [PDF]

  26. Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations. (With Kirsten Morris), 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. [PDF]

  27. The Lax-Friedrichs Sweeping Method for Optimal Control Problem in Continuous and Hybrid Dynamics. (With Chiu-Yen Kao and Stanley Osher), J. Nonlinear Analysis, 63 (5-7), pp. 1561-1572, 2005. [PDF]

  28. Iterative Solution of Algebraic Riccati Equations using a Modified Newton-Klienman Method. (With Kirsten Morris) in the 16th Proceedings of the Mathematical Theory of Networks and Systems, Brussels, July 2004. [PDF]

  29. Solutions of Hamilton-Jacobi-Bellman Equations. (With Arthur Krener), in the 39th Proceedings of the IEEE Conference on Decision and Control, Sydney, pp.570-574, December 2000. [PDF]

Thesis

  1. Local Solutions of the Dynamic Programming Equations and the Hamilton- Jacobi-Bellman PDE. PhD Thesis, University of California, Davis, August 2002. (http://front.math.ucdavis.edu/math.OC/0208240).

Other Manuscripts

  1. Block Tensor Decomposition for Source Apportionment of Air Pollution. (With P. Hopke, M. Leung, N. Li) (http://arxiv.org/abs/1110.4133)

  2. Tensors as Module Homomorphisms over Group Rings. (With M. Opperman, T. Penderghest, C. Tamon) (http://arxiv.org/abs/1005.1894)

  3. Parameter Identification in Radio-Frequency Ablation. (With H. Tiesler and C. Bueskens), International Association of Applied Mathematics and Mechanics (Gesellschaft fur Angewandte Mathematik und Mechanik) March 2008

  4. Local Stable Manifold for the Bidirectional Discrete-Time Dynamics. (http://arxiv.org/abs/math/0309026)

  5. Web Hosting Service Level Agreements. (With A. King et al) 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. [PDF]