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Publications about 'Nuclear norm regularization'


A. Zare.
Lowcomplexity stochastic modeling of wallbounded shear flows.
PhD thesis,
University of Minnesota,
2016.
Keyword(s): Alternating minimization algorithm,
Colored noise,
Convex optimization,
Disturbance dynamics,
Flow modeling and control,
Lowcomplexity modeling,
Lowrank approximation,
Matrix completion problem,
Nuclear norm regularization,
Structured covariances,
Turbulence modeling.
[bibtexentry]

M. R. Jovanovic.
From bypass transition to flow control and datadriven turbulence modeling: An inputoutput viewpoint.
Annu. Rev. Fluid Mech.,
53(1):311345,
January 2021.
Keyword(s): Colored noise,
Convex optimization,
Drag reduction,
Energy amplification,
Flow modeling and control,
Inputoutput analysis,
Lowcomplexity modeling,
Lowrank approximation,
Matrix completion problems,
NavierStokes equations,
Nuclear norm regularization,
Simulationfree design,
Structured covariances,
Transition to turbulence,
Turbulence modeling.
[bibtexentry]

A. Zare,
T. T. Georgiou,
and M. R. Jovanovic.
Stochastic dynamical modeling of turbulent flows.
Annu. Rev. Control Robot. Auton. Syst.,
3:195219,
May 2020.
Keyword(s): Colored noise,
Convex optimization,
Disturbance dynamics,
Flow modeling and control,
Lowcomplexity modeling,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances,
Turbulence modeling.
[bibtexentry]

A. Zare,
Y. Chen,
M. R. Jovanovic,
and T. T. Georgiou.
Lowcomplexity modeling of partially available secondorder statistics: theory and an efficient matrix completion algorithm.
IEEE Trans. Automat. Control,
62(3):13681383,
March 2017.
Keyword(s): Alternating minimization algorithm,
Convex optimization,
Disturbance dynamics,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

A. Zare,
M. R. Jovanovic,
and T. T. Georgiou.
Colour of turbulence.
J. Fluid Mech.,
812:636680,
February 2017.
Keyword(s): Colored noise,
Convex optimization,
Disturbance dynamics,
Flow modeling and control,
Lowcomplexity modeling,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances,
Turbulence modeling.
[bibtexentry]

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 19781983,
2016.
Keyword(s): Convex optimization,
$k$supportnorm,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

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 117119,
2016.
Keyword(s): Alternating minimization algorithm,
Convex optimization,
Disturbance dynamics,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

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 515520,
2015.
Keyword(s): Alternating direction method of multipliers,
Alternating minimization algorithm,
Convex optimization,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

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 16801685,
2014.
Note: (Invited paper; Finalist, Best Student Paper Award).
Keyword(s): Alternating direction method of multipliers,
Convex optimization,
Flow modeling and control,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

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 345354,
2014.
Keyword(s): Convex optimization,
Flow modeling and control,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

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 17021707,
2013.
Keyword(s): Convex optimization,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]

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 16841689,
2013.
Keyword(s): Alternating direction method of multipliers,
Convex optimization,
Lowrank approximation,
Matrix completion problems,
Nuclear norm regularization,
Structured covariances.
[bibtexentry]
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