1. A. Zare. Low-complexity stochastic modeling of wall-bounded shear flows. PhD thesis, University of Minnesota, 2016. Keyword(s): Alternating minimization algorithm, Colored noise, Convex optimization, Disturbance dynamics, Flow modeling and control, Low-complexity modeling, Low-rank approximation, Matrix completion problem, Nuclear norm regularization, Structured covariances, Turbulence modeling. [bibtex-entry]

1. A. Zare, Y. Chen, M. R. Jovanovic, and T. T. Georgiou. Low-complexity modeling of partially available second-order statistics: theory and an efficient matrix completion algorithm. IEEE Trans. Automat. Control, 2017. Note: Doi:10.1109/TAC.2016.2595761; also arXiv:1412.3399. Keyword(s): Alternating minimization algorithm, Convex optimization, Disturbance dynamics, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



2. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Colour of turbulence. J. Fluid Mech., 812:636-680, February 2017. Keyword(s): Colored noise, Convex optimization, Disturbance dynamics, Flow modeling and control, Low-complexity modeling, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances, Turbulence modeling. [bibtex-entry]

1. C. Grussler, A. Zare, M. R. Jovanovic, and A. Rantzer. The use of the $r*$ heuristic in covariance completion problems. In Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, NV, pages 1978-1983, 2016. Keyword(s): Convex optimization, $k$-support-norm, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



2. A. Zare, Y. Chen, M. R. Jovanovic, and T. T. Georgiou. An alternating minimization algorithm for structured covariance completion problems. In Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems, Minneapolis, MN, pages 117-119, 2016. Keyword(s): Alternating minimization algorithm, Convex optimization, Disturbance dynamics, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



3. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Alternating direction optimization algorithms for covariance completion problems. In Proceedings of the 2015 American Control Conference, Chicago, IL, pages 515-520, 2015. Keyword(s): Alternating direction method of multipliers, Alternating minimization algorithm, Convex optimization, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



4. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Completion of partially known turbulent flow statistics. In Proceedings of the 2014 American Control Conference, Portland, OR, pages 1680-1685, 2014. Note: (Invited paper; Finalist, Best Student Paper Award). Keyword(s): Alternating direction method of multipliers, Convex optimization, Flow modeling and control, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



5. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Completion of partially known turbulent flow statistics via convex optimization. In Proceedings of the 2014 Summer Program, Center for Turbulence Research, Stanford University/NASA, pages 345-354, 2014. Keyword(s): Convex optimization, Flow modeling and control, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



6. Y. Chen, M. R. Jovanovic, and T. T. Georgiou. State covariances and the matrix completion problem. In Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, pages 1702-1707, 2013. Keyword(s): Convex optimization, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]



7. F. Lin, M. R. Jovanovic, and T. T. Georgiou. An ADMM algorithm for matrix completion of partially known state covariances. In Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, pages 1684-1689, 2013. Keyword(s): Alternating direction method of multipliers, Convex optimization, Low-rank approximation, Matrix completion problems, Nuclear norm regularization, Structured covariances. [bibtex-entry]

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