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ORCIDPablo A. Parrilo
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- affiliation: Dept. of Electrical Engineering and Computer Science, MIT, USA
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2020 – today
- 2024
[j81]Tobia Marcucci
, Jack Umenberger, Pablo A. Parrilo, Russ Tedrake:
Shortest Paths in Graphs of Convex Sets. SIAM J. Optim. 34(1): 507-532 (2024)- [c70]Kihyun Kim, Jiawei Zhang, Asuman E. Ozdaglar, Pablo A. Parrilo:
A Unified Linear Programming Framework for Offline Reward Learning from Human Demonstrations and Feedback. ICML 2024 - [i38]Bernhard P. Graesdal, Shao Y. C. Chia, Tobia Marcucci, Savva Morozov, Alexandre Amice, Pablo A. Parrilo, Russ Tedrake:
Towards Tight Convex Relaxations for Contact-Rich Manipulation. CoRR abs/2402.10312 (2024) - [i37]Kihyun Kim, Jiawei Zhang, Asuman E. Ozdaglar, Pablo A. Parrilo:
A Unified Linear Programming Framework for Offline Reward Learning from Human Demonstrations and Feedback. CoRR abs/2405.12421 (2024) - [i36]Savva Morozov, Tobia Marcucci, Alexandre Amice, Bernhard P. Graesdal, Rohan Bosworth, Pablo A. Parrilo, Russ Tedrake:
Multi-Query Shortest-Path Problem in Graphs of Convex Sets. CoRR abs/2409.19543 (2024) - 2023
- [j80]Jason M. Altschuler, Pablo A. Parrilo:
Near-linear convergence of the Random Osborne algorithm for Matrix Balancing. Math. Program. 198(1): 363-397 (2023) - [j79]Dogyoon Song, Pablo A. Parrilo:
On approximations of the PSD cone by a polynomial number of smaller-sized PSD cones. Math. Program. 198(1): 733-785 (2023) - [j78]Jason M. Altschuler, Pablo A. Parrilo:
Kernel Approximation on Algebraic Varieties. SIAM J. Appl. Algebra Geom. 7(1): 1-28 (2023) - [j77]Benoît Legat, Chenyang Yuan, Pablo A. Parrilo:
Low-Rank Univariate Sum of Squares Has No Spurious Local Minima. SIAM J. Optim. 33(3): 2041-2061 (2023) - [i35]Jason M. Altschuler, Pablo A. Parrilo:
Acceleration by Stepsize Hedging I: Multi-Step Descent and the Silver Stepsize Schedule. CoRR abs/2309.07879 (2023) - 2022
- [j76]Chenyang Yuan, Pablo A. Parrilo:
Maximizing products of linear forms, and the permanent of positive semidefinite matrices. Math. Program. 193(1): 499-510 (2022) - [j75]Diego Cifuentes, Sameer Agarwal, Pablo A. Parrilo, Rekha R. Thomas:
On the local stability of semidefinite relaxations. Math. Program. 193(2): 629-663 (2022) - [j74]Murat A. Erdogdu, Asuman E. Ozdaglar, Pablo A. Parrilo, Nuri Denizcan Vanli:
Convergence rate of block-coordinate maximization Burer-Monteiro method for solving large SDPs. Math. Program. 195(1): 243-281 (2022) - [j73]Jason M. Altschuler, Pablo A. Parrilo:
Approximating Min-Mean-Cycle for Low-Diameter Graphs in Near-Optimal Time and Memory. SIAM J. Optim. 32(3): 1791-1816 (2022) - [j72]Hamza Fawzi, João Gouveia, Pablo A. Parrilo, James Saunderson, Rekha R. Thomas:
Lifting for Simplicity: Concise Descriptions of Convex Sets. SIAM Rev. 64(4): 866-918 (2022) - [c69]Alexandre Amice, Pablo A. Parrilo:
Solving Least Squares Problems on Partially Ordered Sets. CDC 2022: 5014-5021 - [i34]Benoît Legat, Chenyang Yuan, Pablo A. Parrilo:
Low-Rank Univariate Sum of Squares Has No Spurious Local Minima. CoRR abs/2205.11466 (2022) - 2021
- [j71]Mert Gürbüzbalaban, Asuman E. Ozdaglar, Pablo A. Parrilo:
Why random reshuffling beats stochastic gradient descent. Math. Program. 186(1): 49-84 (2021) - [c68]Ali Jadbabaie, John Lygeros, George J. Pappas, Pablo A. Parrilo, Benjamin Recht, Claire J. Tomlin, Melanie N. Zeilinger:
Preface. L4DC 2021: 1-5 - [e2]Ali Jadbabaie, John Lygeros, George J. Pappas, Pablo A. Parrilo, Benjamin Recht, Claire J. Tomlin, Melanie N. Zeilinger:
Proceedings of the 3rd Annual Conference on Learning for Dynamics and Control, L4DC 2021, 7-8 June 2021, Virtual Event, Switzerland. Proceedings of Machine Learning Research 144, PMLR 2021 [contents] - [i33]Tobia Marcucci, Jack Umenberger, Pablo A. Parrilo, Russ Tedrake:
Shortest Paths in Graphs of Convex Sets. CoRR abs/2101.11565 (2021) - [i32]Chenyang Yuan, Pablo A. Parrilo:
Semidefinite Relaxations of Products of Nonnegative Forms on the Sphere. CoRR abs/2102.13220 (2021) - [i31]Jason M. Altschuler, Pablo A. Parrilo:
Kernel approximation on algebraic varieties. CoRR abs/2106.02755 (2021) - 2020
- [j70]Frank Permenter, Pablo A. Parrilo:
Dimension reduction for semidefinite programs via Jordan algebras. Math. Program. 181(1): 51-84 (2020) - [j69]Jason M. Altschuler, Pablo A. Parrilo:
Lyapunov Exponent of Rank-One Matrices: Ergodic Formula and Inapproximability of the Optimal Distribution. SIAM J. Control. Optim. 58(1): 510-528 (2020) - [j68]Benoît Legat, Pablo A. Parrilo, Raphaël M. Jungers:
Certifying Unstability of Switched Systems Using Sum of Squares Programming. SIAM J. Control. Optim. 58(4): 2616-2638 (2020) - [e1]Alexandre M. Bayen, Ali Jadbabaie, George J. Pappas, Pablo A. Parrilo, Benjamin Recht, Claire J. Tomlin, Melanie N. Zeilinger:
Proceedings of the 2nd Annual Conference on Learning for Dynamics and Control, L4DC 2020, Online Event, Berkeley, CA, USA, 11-12 June 2020. Proceedings of Machine Learning Research 120, PMLR 2020 [contents] - [i30]Chenyang Yuan, Pablo A. Parrilo:
Maximizing Products of Linear Forms, and The Permanent of Positive Semidefinite Matrices. CoRR abs/2002.04149 (2020) - [i29]Jason M. Altschuler, Pablo A. Parrilo:
Random Osborne: a simple, practical algorithm for Matrix Balancing in near-linear time. CoRR abs/2004.02837 (2020) - [i28]Jason M. Altschuler, Pablo A. Parrilo:
Approximating Min-Mean-Cycle for low-diameter graphs in near-optimal time and memory. CoRR abs/2004.03114 (2020)
2010 – 2019
- 2019
- [j67]Hamza Fawzi, James Saunderson, Pablo A. Parrilo:
Semidefinite Approximations of the Matrix Logarithm. Found. Comput. Math. 19(2): 259-296 (2019) - [j66]Mert Gürbüzbalaban, Asuman E. Ozdaglar, Pablo A. Parrilo:
Convergence Rate of Incremental Gradient and Incremental Newton Methods. SIAM J. Optim. 29(4): 2542-2565 (2019) - [j65]Benoît Legat, Pablo A. Parrilo, Raphaël M. Jungers:
An Entropy-Based Bound for the Computational Complexity of a Switched System. IEEE Trans. Autom. Control. 64(11): 4623-4628 (2019) - [c67]Jason M. Altschuler, Pablo A. Parrilo:
Lyapunov Exponent of Rank One Matrices: Ergodic Formula and Inapproximability of the Optimal Distribution. CDC 2019: 4439-4445 - 2018
- [j64]Frank Permenter, Pablo A. Parrilo:
Partial facial reduction: simplified, equivalent SDPs via approximations of the PSD cone. Math. Program. 171(1-2): 1-54 (2018) - [j63]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
Pricing Equilibria and Graphical Valuations. ACM Trans. Economics and Comput. 6(1): 2:1-2:26 (2018) - [i27]Amir Ali Ahmadi, Pablo A. Parrilo:
Sum of squares certificates for stability of planar, homogeneous, and switched systems. CoRR abs/1801.00070 (2018) - [i26]Murat A. Erdogdu, Asuman E. Ozdaglar, Pablo A. Parrilo, Nuri Denizcan Vanli:
Convergence Rate of Block-Coordinate Maximization Burer-Monteiro Method for Solving Large SDPs. CoRR abs/1807.04428 (2018) - 2017
- [j62]Hamza Fawzi, James Saunderson, Pablo A. Parrilo:
Equivariant Semidefinite Lifts of Regular Polygons. Math. Oper. Res. 42(2): 472-494 (2017) - [j61]Diego Cifuentes, Pablo A. Parrilo:
Chordal Networks of Polynomial Ideals. SIAM J. Appl. Algebra Geom. 1(1): 73-110 (2017) - [j60]Mert Gürbüzbalaban, Asuman E. Ozdaglar, Pablo A. Parrilo:
On the Convergence Rate of Incremental Aggregated Gradient Algorithms. SIAM J. Optim. 27(2): 1035-1048 (2017) - [j59]Diego Cifuentes, Pablo A. Parrilo:
Sampling Algebraic Varieties for Sum of Squares Programs. SIAM J. Optim. 27(4): 2381-2404 (2017) - [j58]Takashi Tanaka, Kwang-Ki K. Kim, Pablo A. Parrilo, Sanjoy K. Mitter:
Semidefinite Programming Approach to Gaussian Sequential Rate-Distortion Trade-Offs. IEEE Trans. Autom. Control. 62(4): 1896-1910 (2017) - [j57]Raphaël M. Jungers, Amir Ali Ahmadi, Pablo A. Parrilo, Mardavij Roozbehani:
A Characterization of Lyapunov Inequalities for Stability of Switched Systems. IEEE Trans. Autom. Control. 62(6): 3062-3067 (2017) - [j56]Amir Ali Ahmadi, Pablo A. Parrilo:
Sum of Squares Certificates for Stability of Planar, Homogeneous, and Switched Systems. IEEE Trans. Autom. Control. 62(10): 5269-5274 (2017) - [c66]Mert Gürbüzbalaban, Asuman E. Ozdaglar, Pablo A. Parrilo, Nuri Denizcan Vanli:
When Cyclic Coordinate Descent Outperforms Randomized Coordinate Descent. NIPS 2017: 6999-7007 - [p1]Amir Ali Ahmadi, Pablo A. Parrilo:
Some Recent Directions in Algebraic Methods for Optimization and Lyapunov Analysis. Geometric and Numerical Foundations of Movements 2017: 89-112 - 2016
- [j55]Hamza Fawzi, Pablo A. Parrilo:
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank. Math. Program. 158(1-2): 417-465 (2016) - [j54]Hamza Fawzi, James Saunderson, Pablo A. Parrilo:
Sparse sums of squares on finite abelian groups and improved semidefinite lifts. Math. Program. 160(1-2): 149-191 (2016) - [j53]Diego Cifuentes, Pablo A. Parrilo:
Exploiting Chordal Structure in Polynomial Ideals: A Gröbner Bases Approach. SIAM J. Discret. Math. 30(3): 1534-1570 (2016) - [c65]Benoît Legat, Raphaël M. Jungers, Pablo A. Parrilo:
Generating Unstable Trajectories for Switched Systems via Dual Sum-Of-Squares Techniques. HSCC 2016: 51-60 - [i25]Diego Cifuentes, Pablo A. Parrilo:
Chordal networks of polynomial ideals. CoRR abs/1604.02618 (2016) - 2015
- [j52]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
Iterative Auction Design for Tree Valuations. Oper. Res. 63(4): 751-771 (2015) - [j51]Mert Gürbüzbalaban, Asuman E. Ozdaglar, Pablo A. Parrilo:
A globally convergent incremental Newton method. Math. Program. 151(1): 283-313 (2015) - [j50]Adam N. Letchford, Jean B. Lasserre, Pablo A. Parrilo, David Steurer:
The 2013 Newton Institute Programme on polynomial optimization. Math. Program. 151(2): 375-377 (2015) - [j49]João Gouveia, Pablo A. Parrilo, Rekha R. Thomas:
Approximate cone factorizations and lifts of polytopes. Math. Program. 151(2): 613-637 (2015) - [j48]Hamza Fawzi, Pablo A. Parrilo:
Lower bounds on nonnegative rank via nonnegative nuclear norms. Math. Program. 153(1): 41-66 (2015) - [j47]Hamza Fawzi, João Gouveia, Pablo A. Parrilo, Richard Z. Robinson, Rekha R. Thomas:
Positive semidefinite rank. Math. Program. 153(1): 133-177 (2015) - [j46]James Saunderson, Pablo A. Parrilo:
Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones. Math. Program. 153(2): 309-331 (2015) - [j45]James Saunderson, Pablo A. Parrilo, Alan S. Willsky:
Semidefinite Descriptions of the Convex Hull of Rotation Matrices. SIAM J. Optim. 25(3): 1314-1343 (2015) - [j44]Hamza Fawzi, James Saunderson, Pablo A. Parrilo:
Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies. SIAM J. Optim. 25(4): 2212-2243 (2015) - [j43]Sidhant Misra, Pablo A. Parrilo:
Weighted ℓ1-Minimization for Generalized Non-Uniform Sparse Model. IEEE Trans. Inf. Theory 61(8): 4424-4439 (2015) - [c64]Hamza Fawzi, James Saunderson, Pablo A. Parrilo:
Sparse sum-of-squares certificates on finite abelian groups. CDC 2015: 5909-5914 - [c63]Frank Permenter, Pablo A. Parrilo:
Finding sparse, equivalent SDPs using minimal coordinate projections. CDC 2015: 7274-7279 - [i24]Diego Cifuentes, Pablo A. Parrilo:
An efficient tree decomposition method for permanents and mixed discriminants. CoRR abs/1507.03046 (2015) - 2014
- [j42]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
Joint Spectral Radius and Path-Complete Graph Lyapunov Functions. SIAM J. Control. Optim. 52(1): 687-717 (2014) - [c62]Takashi Tanaka, Pablo A. Parrilo:
Optimal output feedback architecture for triangular LQG problems. ACC 2014: 5730-5735 - [c61]James Saunderson, Pablo A. Parrilo, Alan S. Willsky:
Semidefinite relaxations for optimization problems over rotation matrices. CDC 2014: 160-166 - [c60]Amir Ali Ahmadi, Pablo A. Parrilo:
Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization. CDC 2014: 2272-2281 - [c59]Frank Permenter, Pablo A. Parrilo:
Basis selection for SOS programs via facial reduction and polyhedral approximations. CDC 2014: 6615-6620 - [i23]Hamza Fawzi, João Gouveia, Pablo A. Parrilo, Richard Z. Robinson, Rekha R. Thomas:
Positive semidefinite rank. CoRR abs/1407.4095 (2014) - [i22]Hamza Fawzi, James Saunderson, Pablo A. Parrilo:
Equivariant semidefinite lifts of regular polygons. CoRR abs/1409.4379 (2014) - [i21]Diego Cifuentes, Pablo A. Parrilo:
Exploiting chordal structure in polynomial ideals: a Gröbner bases approach. CoRR abs/1411.1745 (2014) - [i20]Takashi Tanaka, Kwang-Ki K. Kim, Pablo A. Parrilo, Sanjoy K. Mitter:
Semidefinite Programming Approach to Gaussian Sequential Rate-Distortion Trade-offs. CoRR abs/1411.7632 (2014) - 2013
- [j41]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
Dynamics in near-potential games. Games Econ. Behav. 82: 66-90 (2013) - [j40]João Gouveia, Pablo A. Parrilo, Rekha R. Thomas:
Lifts of Convex Sets and Cone Factorizations. Math. Oper. Res. 38(2): 248-264 (2013) - [j39]Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Parrilo, John N. Tsitsiklis:
NP-hardness of deciding convexity of quartic polynomials and related problems. Math. Program. 137(1-2): 453-476 (2013) - [j38]Amir Ali Ahmadi, Pablo A. Parrilo:
A Complete Characterization of the Gap between Convexity and SOS-Convexity. SIAM J. Optim. 23(2): 811-833 (2013) - [j37]Parikshit Shah, Pablo A. Parrilo:
H2 -Optimal Decentralized Control Over Posets: A State-Space Solution for State-Feedback. IEEE Trans. Autom. Control. 58(12): 3084-3096 (2013) - [j36]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
Near-Potential Games: Geometry and Dynamics. ACM Trans. Economics and Comput. 1(2): 11:1-11:32 (2013) - [c58]James Saunderson, Pablo A. Parrilo, Alan S. Willsky:
Diagonal and low-rank decompositions and fitting ellipsoids to random points. CDC 2013: 6031-6036 - [c57]Pablo A. Parrilo:
Convex algebraic geometry and semidefinite optimization. ISSAC 2013: 9-10 - [i19]Sidhant Misra, Pablo A. Parrilo:
Analysis of weighted ℓ1-minimization for model based compressed sensing. CoRR abs/1301.1327 (2013) - [i18]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Exchangeable Equilibria, Part I: Symmetric Bimatrix Games. CoRR abs/1307.3586 (2013) - [i17]Amir Ali Ahmadi, Pablo A. Parrilo:
Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions. CoRR abs/1308.6833 (2013) - [i16]Antonis Papachristodoulou, James Anderson, Giorgio Valmorbida, Stephen Prajna, Pete Seiler, Pablo A. Parrilo:
SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB. CoRR abs/1310.4716 (2013) - [i15]Hamza Fawzi, Pablo A. Parrilo:
Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity. CoRR abs/1311.2571 (2013) - 2012
- [j35]Pablo A. Parrilo:
Reconstructing the unknown, balancing structure and uncertainty: technical perspective. Commun. ACM 55(6): 110 (2012) - [j34]Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, Alan S. Willsky:
The Convex Geometry of Linear Inverse Problems. Found. Comput. Math. 12(6): 805-849 (2012) - [j33]João Gouveia, Monique Laurent, Pablo A. Parrilo, Rekha R. Thomas:
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs. Math. Program. 133(1-2): 203-225 (2012) - [j32]Amir Ali Ahmadi, Pablo A. Parrilo:
A convex polynomial that is not sos-convex. Math. Program. 135(1-2): 275-292 (2012) - [j31]James Saunderson, Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Diagonal and Low-Rank Matrix Decompositions, Correlation Matrices, and Ellipsoid Fitting. SIAM J. Matrix Anal. Appl. 33(4): 1395-1416 (2012) - [j30]Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Convex Graph Invariants. SIAM Rev. 54(3): 513-541 (2012) - [c56]Amir Ali Ahmadi, Pablo A. Parrilo:
Joint spectral radius of rank one matrices and the maximum cycle mean problem. CDC 2012: 731-733 - [c55]Frank Permenter, Pablo A. Parrilo:
Selecting a monomial basis for sums of squares programming over a quotient ring. CDC 2012: 1871-1876 - [c54]Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Convex graph invariants. CISS 2012: 1-6 - [c53]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
When Is a Set of LMIs a Sufficient Condition for Stability? ROCOND 2012: 313-318 - [i14]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
When is a set of LMIs a sufficient condition for stability? CoRR abs/1201.3227 (2012) - [i13]Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Rejoinder: Latent variable graphical model selection via convex optimization. CoRR abs/1211.0835 (2012) - 2011
- [j29]Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdaglar:
Correlated equilibria in continuous games: Characterization and computation. Games Econ. Behav. 71(2): 436-455 (2011) - [j28]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Structure of extreme correlated equilibria: a zero-sum example and its implications. Int. J. Game Theory 40(4): 749-767 (2011) - [j27]Ozan Candogan, Ishai Menache, Asuman E. Ozdaglar, Pablo A. Parrilo:
Flows and Decompositions of Games: Harmonic and Potential Games. Math. Oper. Res. 36(3): 474-503 (2011) - [j26]Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Parrilo, Alan S. Willsky:
Rank-Sparsity Incoherence for Matrix Decomposition. SIAM J. Optim. 21(2): 572-596 (2011) - [j25]Dimitris Bertsimas, Dan Andrei Iancu, Pablo A. Parrilo:
A Hierarchy of Near-Optimal Policies for Multistage Adaptive Optimization. IEEE Trans. Autom. Control. 56(12): 2809-2824 (2011) - [c52]Amir Ali Ahmadi, Pablo A. Parrilo:
On higher order derivatives of Lyapunov functions. ACC 2011: 1313-1314 - [c51]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
Learning in near-potential games. CDC/ECC 2011: 2428-2433 - [c50]James Saunderson, Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Tree-structured statistical modeling via convex optimization. CDC/ECC 2011: 2883-2888 - [c49]Parikshit Shah, Pablo A. Parrilo:
An optimal controller architecture for poset-causal systems. CDC/ECC 2011: 5522-5528 - [c48]Amir Ali Ahmadi, Pablo A. Parrilo:
Converse results on existence of sum of squares Lyapunov functions. CDC/ECC 2011: 6516-6521 - [c47]Amir Ali Ahmadi, Miroslav Krstic, Pablo A. Parrilo:
A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function. CDC/ECC 2011: 7579-7580 - [c46]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
Analysis of the joint spectral radius via Lyapunov functions on path-complete graphs. HSCC 2011: 13-22 - [i12]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
Dynamics in Near-Potential Games. CoRR abs/1107.4386 (2011) - [i11]Parikshit Shah, Pablo A. Parrilo:
H_2-Optimal Decentralized Control over Posets: A State-Space Solution for State-Feedback. CoRR abs/1111.1498 (2011) - [i10]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
Joint Spectral Radius and Path-Complete Graph Lyapunov Functions. CoRR abs/1111.3427 (2011) - [i9]Parikshit Shah, Pablo A. Parrilo:
An Optimal Controller Architecture for Poset-Causal Systems. CoRR abs/1111.7221 (2011) - 2010
- [j24]Han Men, Ngoc Cuong Nguyen, Robert M. Freund, Pablo A. Parrilo, Jaume Peraire:
Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. J. Comput. Phys. 229(10): 3706-3725 (2010) - [j23]Dimitris Bertsimas, Dan Andrei Iancu, Pablo A. Parrilo:
Optimality of Affine Policies in Multistage Robust Optimization. Math. Oper. Res. 35(2): 363-394 (2010) - [j22]João Gouveia, Pablo A. Parrilo, Rekha R. Thomas:
Theta Bodies for Polynomial Ideals. SIAM J. Optim. 20(4): 2097-2118 (2010) - [j21]Benjamin Recht, Maryam Fazel, Pablo A. Parrilo:
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization. SIAM Rev. 52(3): 471-501 (2010) - [j20]Angelia Nedic, Asuman E. Ozdaglar, Pablo A. Parrilo:
Constrained Consensus and Optimization in Multi-Agent Networks. IEEE Trans. Autom. Control. 55(4): 922-938 (2010) - [c45]Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, Alan S. Willsky:
The Convex algebraic geometry of linear inverse problems. Allerton 2010: 699-703 - [c44]Ozan Candogan, Ishai Menache, Asuman E. Ozdaglar, Pablo A. Parrilo:
Dynamics in near-potential games. Allerton 2010: 1173 - [c43]Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Latent variable graphical model selection via convex optimization. Allerton 2010: 1610-1613 - [c42]Ozan Candogan, Asuman E. Ozdaglar, Pablo A. Parrilo:
A projection framework for near-potential games. CDC 2010: 244-249 - [c41]Amir Ali Ahmadi, Pablo A. Parrilo:
On the equivalence of algebraic conditions for convexity and quasiconvexity of polynomials. CDC 2010: 3343-3348 - [c40]Parikshit Shah, Pablo A. Parrilo:
ℋ2-optimal decentralized control over posets: A state space solution for state-feedback. CDC 2010: 6722-6727 - [c39]Ozan Candogan, Ishai Menache, Asuman E. Ozdaglar, Pablo A. Parrilo:
Near-Optimal Power Control in Wireless Networks: A Potential Game Approach. INFOCOM 2010: 1954-1962 - [i8]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Structure of Extreme Correlated Equilibria. CoRR abs/1002.0035 (2010) - [i7]Ozan Candogan, Ishai Menache, Asuman E. Ozdaglar, Pablo A. Parrilo:
Flows and Decompositions of Games: Harmonic and Potential Games. CoRR abs/1005.2405 (2010) - [i6]Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdaglar:
A new proof of Nash's Theorem via exchangeable equilibria. CoRR abs/1005.3045 (2010) - [i5]Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. Willsky:
Convex Graph Invariants. CoRR abs/1012.0623 (2010) - [i4]Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Parrilo, John N. Tsitsiklis:
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems. CoRR abs/1012.1908 (2010)
2000 – 2009
- 2009
- [j19]Stephen P. Boyd, Persi Diaconis, Pablo A. Parrilo, Lin Xiao:
Fastest Mixing Markov Chain on Graphs with Symmetries. SIAM J. Optim. 20(2): 792-819 (2009) - [c38]Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Parrilo, Alan S. Willsky:
Sparse and low-rank matrix decompositions. Allerton 2009: 962-967 - [c37]Parikshit Shah, Pablo A. Parrilo:
A poset framework to model decentralized control problems. CDC 2009: 972-977 - [c36]Dimitris Bertsimas, Dan Andrei Iancu, Pablo A. Parrilo:
Optimality of affine policies in multi-stage robust optimization. CDC 2009: 1131-1138 - [c35]Amir Ali Ahmadi, Pablo A. Parrilo:
A positive definite polynomial Hessian that does not factor. CDC 2009: 1195-1200 - [c34]Ozan Candogan, Ishai Menache, Asuman E. Ozdaglar, Pablo A. Parrilo:
Competitive scheduling in wireless collision channels with correlated channel state. GAMENETS 2009: 621-630 - 2008
- [j18]Randy Cogill, Sanjay Lall, Pablo A. Parrilo:
Structured semidefinite programs for the control of symmetric systems. Autom. 44(5): 1411-1417 (2008) - [j17]Erin M. Aylward, Pablo A. Parrilo, Jean-Jacques E. Slotine:
Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming. Autom. 44(8): 2163-2170 (2008) - [j16]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Separable and low-rank continuous games. Int. J. Game Theory 37(4): 475-504 (2008) - [j15]Pablo A. Parrilo, Aaron Robertson, Dan Saracino:
On the asymptotic minimum number of monochromatic 3-term arithmetic progressions. J. Comb. Theory A 115(1): 185-192 (2008) - [j14]Helfried Peyrl, Pablo A. Parrilo:
Computing sum of squares decompositions with rational coefficients. Theor. Comput. Sci. 409(2): 269-281 (2008) - [c33]Maryam Fazel, Emmanuel J. Candès, Ben Recht, Pablo A. Parrilo:
Compressed sensing and robust recovery of low rank matrices. ACSCC 2008: 1043-1047 - [c32]Parikshit Shah, Pablo A. Parrilo:
A partial order approach to decentralized control of spatially invariant systems. Allerton 2008: 347-352 - [c31]Amir Ali Ahmadi, Pablo A. Parrilo:
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems. CDC 2008: 614-621 - [c30]Parikshit Shah, Pablo A. Parrilo:
A Partial order approach to decentralized control. CDC 2008: 4351-4356 - [c29]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Computing correlated equilibria of polynomial games via adaptive discretization. CDC 2008: 4474-4478 - [i3]Parikshit Shah, Pablo A. Parrilo:
Polynomial stochastic games via sum of squares optimization. CoRR abs/0806.2469 (2008) - [i2]Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdaglar:
Correlated Equilibria in Continuous Games: Characterization and Computation. CoRR abs/0812.4279 (2008) - 2007
- [j13]Lars Kuepfer, Uwe Sauer, Pablo A. Parrilo:
Efficient classification of complete parameter regions based on semidefinite programming. BMC Bioinform. 8 (2007) - [c28]Parikshit Shah, Pablo A. Parrilo:
Polynomial stochastic games via sum of squares optimization. CDC 2007: 745-750 - [c27]Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdaglar:
Characterization and computation of correlated equilibria in infinite games. CDC 2007: 759-764 - [c26]Helfried Peyrl, Pablo A. Parrilo:
A theorem of the alternative for SOS Lyapunov functions. CDC 2007: 1687-1692 - [c25]Danielle C. Tarraf, Pablo A. Parrilo:
Solving commutative relaxations of word problems. CDC 2007: 5575-5580 - [c24]Erin M. Aylward, Sleiman M. Itani, Pablo A. Parrilo:
Explicit SOS decompositions of univariate polynomial matrices and the Kalman-Yakubovich-Popov lemma. CDC 2007: 5660-5665 - [c23]Pablo A. Parrilo, Ali Jadbabaie:
Approximation of the Joint Spectral Radius of a Set of Matrices Using Sum of Squares. HSCC 2007: 444-458 - [c22]Helfried Peyrl, Pablo A. Parrilo:
A Macaulay 2 package for computing sum of squares decompositions of polynomials with rational coefficients. SNC 2007: 207-208 - [i1]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Separable and Low-Rank Continuous Games. CoRR abs/0707.3462 (2007) - 2006
- [j12]Etienne de Klerk, Monique Laurent, Pablo A. Parrilo:
A PTAS for the minimization of polynomials of fixed degree over the simplex. Theor. Comput. Sci. 361(2-3): 210-225 (2006) - [c21]Erin M. Aylward, Pablo A. Parrilo, Jean-Jacques E. Slotine:
Algorithmic search for contraction metrics via SOS programming. ACC 2006: 1-6 - [c20]Noah D. Stein, Asuman E. Ozdaglar, Pablo A. Parrilo:
Separable and Low-Rank Continuous Games. CDC 2006: 2849-2854 - [c19]Pablo A. Parrilo:
Polynomial games and sum of squares optimization. CDC 2006: 2855-2860 - 2005
- [j11]Stephen P. Boyd, Persi Diaconis, Pablo A. Parrilo, Lin Xiao:
Symmetry Analysis of Reversible Markov Chains. Internet Math. 2(1): 31-71 (2005) - [c18]Ioannis A. Fotiou, Pablo A. Parrilo, Manfred Morari:
Nonlinear parametric optimization using cylindrical algebraic decomposition. CDC/ECC 2005: 3735-3740 - [c17]Pablo A. Parrilo:
SOS Methods for Semi-algebraic Games and Optimization. HSCC 2005: 54-54 - 2004
- [j10]Pablo A. Parrilo, Ronen Peretz:
An Inequality for Circle Packings Proved by Semidefinite Programming. Discret. Comput. Geom. 31(3): 357-367 (2004) - [j9]Stephen Prajna, Pablo A. Parrilo, Anders Rantzer:
Nonlinear control synthesis by convex optimization. IEEE Trans. Autom. Control. 49(2): 310-314 (2004) - [c16]Pablo A. Parrilo:
Nonlinear stability via sum of squares programming. ACC 2004: 3272 - [c15]Stephen Prajna, Antonis Papachristodoulou, Peter Seiler, Pablo A. Parrilo:
New developments in sum of squares optimization and SOSTOOLS. ACC 2004: 5606-5611 - [c14]Johan Löfberg, Pablo A. Parrilo:
From coefficients to samples: a new approach to SOS optimization. CDC 2004: 3154-3159 - [c13]Pablo A. Parrilo:
Sums of squares of polynomials and their applications. ISSAC 2004: 1 - 2003
- [j8]Pablo A. Parrilo, Sanjay Lall:
Semidefinite Programming Relaxations and Algebraic Optimization in Control. Eur. J. Control 9(2-3): 307-321 (2003) - [j7]Pablo A. Parrilo:
Semidefinite programming relaxations for semialgebraic problems. Math. Program. 96(2): 293-320 (2003) - [c12]Pascal Grieder, Pablo A. Parrilo, Manfred Morari:
Robust Receding Horizon Control - analysis & synthesis. CDC 2003: 941-946 - [c11]Pablo A. Parrilo:
Exploiting structure in sum of squares programs. CDC 2003: 4664-4669 - [c10]Pascal Grieder, Marco Liithi, Pablo A. Parrilo, Manfred Morari:
Stability & feasibility of constrained receding horizon control. ECC 2003: 701-706 - 2002
- [j6]Mario Sznaier, Takeshi Amishima, Pablo A. Parrilo, Jorge Tierno:
A convex approach to robust H2 performance analysis. Autom. 38(6): 957-966 (2002) - [c9]Stephen Prajna, Antonis Papachristodoulou, Pablo A. Parrilo:
Introducing SOSTOOLS: a general purpose sum of squares programming solver. CDC 2002: 741-746 - [c8]Pablo A. Parrilo, Andrew C. Doherty, Federico M. Spedalieri:
Entanglement witnesses and semidefinite programming. CDC 2002: 4575-4580 - 2001
- [j5]Tamer Inanc, Mario Sznaier, Pablo A. Parrilo, Ricardo S. Sánchez Peña:
Robust identification with mixed parametric/nonparametric models and time/frequency-domain experiments: theory and an application. IEEE Trans. Control. Syst. Technol. 9(4): 608-617 (2001) - [c7]Pablo A. Parrilo:
Outer approximation algorithms for KYP-based LMIs. ACC 2001: 3025-3028 - [c6]András Varga, Pablo A. Parrilo:
Fast algorithms for solving H∞-norm minimization problems. CDC 2001: 261-266 - [c5]Pablo A. Parrilo, Bernd Sturmfels:
Minimizing Polynomial Functions. Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science 2001: 83-99 - 2000
- [j4]Pablo A. Parrilo, Sven Khatri:
On cone-invariant linear matrix inequalities. IEEE Trans. Autom. Control. 45(8): 1558-1563 (2000) - [c4]Pablo A. Parrilo:
On a decomposition of multivariable forms via LMI methods. ACC 2000: 322-326 - [c3]Anders Rantzer, Pablo A. Parrilo:
On convexity in stabilization of nonlinear systems. CDC 2000: 2942-2945 - [c2]Pablo A. Parrilo:
Higher order semi-definite relaxations for quadratic programming. CDC 2000: 4612-4617 - [c1]Pablo A. Parrilo:
Semidefinite programming based tests for matrix copositivity. CDC 2000: 4624-4629
1990 – 1999
- 1999
- [j3]Pablo A. Parrilo, Ricardo S. Sánchez Peña, Mario Sznaier:
A parametric extension of mixed time/frequency robust identification. IEEE Trans. Autom. Control. 44(2): 364-369 (1999) - 1998
- [j2]Pablo A. Parrilo, Mario Sznaier, Ricardo S. Sánchez Peña, Tamer Inanc:
Mixed Time/Frequency-Domain Based Robust Identification. Autom. 34(11): 1375-1389 (1998) - 1996
- [j1]Pablo A. Parrilo, Ricardo Salvador Sánchez Peña, Cecilia G. Galarza:
l1 identification applied to a fluid dynamics problem. IEEE Trans. Control. Syst. Technol. 4(3): 298-303 (1996)
Coauthor Index
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