Pablo A. Parrilo
Pablo A. Parrilo
Professor of Electrical Engineering and Computer Science, Massachusetts Institute of Technology
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Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
B Recht, M Fazel, PA Parrilo
SIAM Review 52 (3), 471-501, 2010
Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
PA Parrilo
California Institute of Technology, 2000
Semidefinite programming relaxations for semialgebraic problems
PA Parrilo
Mathematical Programming 96 (2), 293-320, 2003
Constrained consensus and optimization in multi-agent networks
A Nedic, A Ozdaglar, PA Parrilo
IEEE Transactions on Automatic Control 55 (4), 922-938, 2010
The convex geometry of linear inverse problems
V Chandrasekaran, B Recht, PA Parrilo, AS Willsky
Foundations of Computational Mathematics 12 (6), 805-849, 2010
Rank-sparsity incoherence for matrix decomposition
V Chandrasekaran, S Sanghavi, PA Parrilo, AS Willsky
SIAM Journal on Optimization 21, 572, 2011
Introducing SOSTOOLS: A general purpose sum of squares programming solver
S Prajna, A Papachristodoulou, PA Parrilo
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on 1 …, 2002
SOSTOOLS: Sum of squares optimization toolbox for MATLAB
S Prajna, A Papachristodoulou, P Seiler, PA Parrilo
Users guide, 2004
Semidefinite Optimization and Convex Algebraic Geometry
G Blekherman, P Parrilo, R Thomas
SIAM 13, xix + 471, 2011
Latent variable graphical model selection via convex optimization
V Chandrasekaran, PA Parrilo, AS Willsky
Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton …, 2010
Minimizing polynomial functions
PA Parrilo, B Sturmfels
Algorithmic and quantitative real algebraic geometry, DIMACS Series in …, 2003
Distinguishing separable and entangled states
AC Doherty, PA Parrilo, FM Spedalieri
Physical Review Letters 88 (18), 187904, 2002
Symmetry groups, semidefinite programs, and sums of squares
K Gatermann, PA Parrilo
Journal of Pure and Applied Algebra 192 (1), 95-128, 2004
Complete family of separability criteria
AC Doherty, PA Parrilo, FM Spedalieri
Physical Review A 69 (2), 022308, 2004
Nonlinear control synthesis by convex optimization
S Prajna, PA Parrilo, A Rantzer
Automatic Control, IEEE Transactions on 49 (2), 310-314, 2004
Positive polynomials in control
D Henrion, A Garulli
Springer-Verlag New York Inc, 2005
Optimality of affine policies in multi-stage robust optimization
D Bertsimas, DA Iancu, PA Parrilo
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control …, 2009
ℋ2-optimal decentralized control over posets: A state space solution for state-feedback
P Shah, PA Parrilo
Decision and Control (CDC), 2010 49th IEEE Conference on, 6722-6727, 2010
The Lax conjecture is true
AS Lewis, PA Parrilo, MV Ramana
Proceedings of the American Mathematical Society 133 (9), 2495-2500, 2005
SOSTOOLS: Sum of squares optimization toolbox for MATLAB
A Papachristodoulou, J Anderson, G Valmorbida, S Prajna, P Seiler, ...
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