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Parrilo, Pablo A.

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Author ID: parrilo.pablo-a Recent zbMATH articles by "Parrilo, Pablo A."
Published as: Parillo, Pablo; Parillo, Pablo A.; Parrilo, P.; Parrilo, P. A.; Parrilo, Pablo; Parrilo, Pablo A.
External Links: ORCID
Documents Indexed: 90 Publications since 1998, including 2 Books
all top 5

Co-Authors

6 single-authored
10 Ozdaglar, Asuman E.
8 Thomas, Rekha R.
7 Ahmadi, Amir Ali
7 Fawzi, Hamza
7 Saunderson, James
7 Willsky, Alan Steven
6 Chandrasekaran, Venkat
6 Jungers, Raphaël M.
5 Cifuentes, Diego
5 Gouveia, Joao
3 Candogan, Ozan
3 Gürbüzbalaban, Mert
3 Laurent, Monique
3 Legat, Benoît
3 Roozbehani, Mardavij
3 Sánchez Peña, Ricardo S.
3 Stein, Noah D.
3 Sturmfels, Bernd
3 Sznaier, Mario
2 Bertsimas, Dimitris John
2 Blekherman, Grigoriy
2 Boyd, Stephen Poythress
2 de Klerk, Etienne
2 Diaconis, Persi Warren
2 Iancu, Dan Andrei
2 Jadbabaie, Ali
2 Lall, Sanjay
2 Permenter, Frank
2 Prajna, Stephen
2 Recht, Benjamin
2 Xiao, Lin
1 Altschuler, Jason M.
1 Amishima, Takeshi
1 Aylward, Erin M.
1 Cogill, Randy
1 De Loera, Jesús A.
1 Fazel, Maryam
1 Fotiou, Ioannis A.
1 Freund, Robert M.
1 Gatermann, Karin
1 Inanc, Tamer
1 Kahle, Thomas
1 Khatri, Sven
1 Kim, Kwang-Ki K.
1 Kubjas, Kaie
1 Lasserre, Jean-Bernard
1 Letchford, Adam N.
1 Lewis, Adrian S.
1 Malkin, Peter N.
1 Mazzaro, Maria Cecilia
1 Men, Han
1 Menache, Ishai
1 Misra, Sidhant
1 Mitter, Sanjoy K.
1 Morari, Manfred
1 Nedić, Angelia
1 Nguyen, Ngoc Cuong
1 Nie, Jiawang
1 Olshevsky, Alex
1 Papachristodoulou, Antonis
1 Peraire, Jaime
1 Peretz, Ronen
1 Peyrl, Helfried
1 Ramana, Motakuri V.
1 Rantzer, Anders
1 Robertson, Aaron
1 Robinson, Richard Z.
1 Rostalski, Philipp
1 Sanghavi, Sujay
1 Saracino, Dan
1 Seiler, Peter J.
1 Shah, Parikshit
1 Slotine, Jean-Jacques E.
1 Steurer, David
1 Tanaka, Takashi
1 Tierno, Jorge E.
1 Tsitsiklis, John N.

Publications by Year

Citations contained in zbMATH

79 Publications have been cited 2,138 times in 1,626 Documents Cited by Year
Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization. Zbl 1198.90321
Recht, Benjamin; Fazel, Maryam; Parrilo, Pablo A.
370
2010
Semidefinite programming relaxations for semialgebraic problems. Zbl 1043.14018
Parrilo, Pablo A.
260
2003
Constrained consensus and optimization in multi-agent networks. Zbl 1368.90143
Nedić, Angelia; Ozdaglar, Asuman; Parrilo, Pablo A.
135
2010
Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067
Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S.
114
2011
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
105
2012
Semidefinite optimization and convex algebraic geometry. Zbl 1260.90006
Blekherman, Grigoriy (ed.); Parrilo, Pablo A. (ed.); Thomas, Rekha R. (ed.)
95
2013
Minimizing polynomial functions. Zbl 1099.13516
Parrilo, Pablo A.; Sturmfels, Bernd
84
2003
Symmetry groups, semidefinite programs, and sums of squares. Zbl 1108.13021
Gatermann, Karin; Parrilo, Pablo A.
75
2004
Lifts of convex sets and cone factorizations. Zbl 1291.90172
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R.
56
2013
The Lax conjecture is true. Zbl 1073.90029
Lewis, A. S.; Parrilo, P. A.; Ramana, M. V.
54
2005
Latent variable graphical model selection via convex optimization. Zbl 1257.62061
Chandrasekaran, Venkat; Parrilo, Pablo A.; Willsky, Alan S.
53
2012
Theta bodies for polynomial ideals. Zbl 1213.90190
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R.
46
2010
Nonlinear control synthesis by convex optimization. Zbl 1365.93164
Prajna, Stephen; Parrilo, Pablo A.; Rantzer, Anders
39
2004
Optimality of affine policies in multistage robust optimization. Zbl 1218.90216
Bertsimas, Dimitris; Iancu, Dan A.; Parrilo, Pablo A.
38
2010
A PTAS for the minimization of polynomials of fixed degree over the simplex. Zbl 1115.90042
De Klerk, Etienne; Laurent, Monique; Parrilo, Pablo A.
34
2006
SOSTOOLS and its control applications. Zbl 1119.93302
Prajna, Stephen; Papachristodoulou, Antonis; Seiler, Peter; Parrilo, Pablo A.
31
2005
A hierarchy of near-optimal policies for multistage adaptive optimization. Zbl 1368.93336
Bertsimas, Dimitris; Iancu, Dan Andrei; Parrilo, Pablo A.
26
2011
Flows and decompositions of games: harmonic and potential games. Zbl 1239.91006
Candogan, Ozan; Menache, Ishai; Ozdaglar, Asuman; Parrilo, Pablo A.
25
2011
Approximation of the joint spectral radius using sum of squares. Zbl 1151.65032
Parrilo, Pablo A.; Jadbabaie, Ali
25
2008
Positive semidefinite rank. Zbl 1327.90174
Fawzi, Hamza; Gouveia, João; Parrilo, Pablo A.; Robinson, Richard Z.; Thomas, Rekha R.
24
2015
Computing sum of squares decompositions with rational coefficients. Zbl 1156.65062
Peyrl, Helfried; Parrilo, Pablo A.
24
2008
NP-hardness of deciding convexity of quartic polynomials and related problems. Zbl 1274.90516
Ahmadi, Amir Ali; Olshevsky, Alex; Parrilo, Pablo A.; Tsitsiklis, John N.
23
2013
A complete characterization of the gap between convexity and sos-convexity. Zbl 1295.52009
Ahmadi, Amir Ali; Parrilo, Pablo A.
21
2013
Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming. Zbl 1283.93217
Aylward, Erin M.; Parrilo, Pablo A.; Slotine, Jean-Jacques E.
20
2008
Joint spectral radius and path-complete graph Lyapunov functions. Zbl 1292.93093
Ahmadi, Amir Ali; Jungers, Raphaël M.; Parrilo, Pablo A.; Roozbehani, Mardavij
19
2014
A convex polynomial that is not sos-convex. Zbl 1254.90159
Ahmadi, Amir Ali; Parrilo, Pablo A.
19
2012
Rejoinder: Latent variable graphical model selection via convex optimization. Zbl 1288.62085
Chandrasekaran, Venkat; Parrilo, Pablo A.; Willsky, Alan S.
18
2012
Semidefinite programming relaxations and algebraic optimization in control. Zbl 1293.93302
Parrilo, Pablo A.; Lall, Sanjay
18
2003
Symmetry analysis of reversible Markov chains. Zbl 1087.60057
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
17
2005
Partial facial reduction: simplified, equivalent SDPs via approximations of the PSD cone. Zbl 1405.90098
Permenter, Frank; Parrilo, Pablo
16
2018
On the convergence rate of incremental aggregated gradient algorithms. Zbl 1366.90195
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P. A.
15
2017
Dynamics in near-potential games. Zbl 1282.91048
Candogan, Ozan; Ozdaglar, Asuman; Parrilo, Pablo A.
14
2013
Equivariant semidefinite lifts and sum-of-squares hierarchies. Zbl 1327.90175
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
13
2015
Fastest mixing Markov chain on graphs with symmetries. Zbl 1189.05072
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
12
2009
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs. Zbl 1262.90123
Gouveia, João; Laurent, Monique; Parrilo, Pablo A.; Thomas, Rekha
11
2012
Semidefinite descriptions of the convex hull of rotation matrices. Zbl 1317.90231
Saunderson, J.; Parrilo, P. A.; Willsky, A. S.
9
2015
Semidefinite representation of the \(k\)-ellipse. Zbl 1171.90498
Nie, Jiawang; Parrilo, Pablo A.; Sturmfels, Bernd
9
2008
Exploiting algebraic structure in sum of squares programs. Zbl 1070.90081
Parrilo, Pablo A.
9
2005
Mixed time/frequency-domain based robust identification. Zbl 0963.93017
Parrilo, P. A.; Sznaier, M.; Sánchez Peña, R. S.; Inanc, T.
9
1998
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank. Zbl 1346.90662
Fawzi, Hamza; Parrilo, Pablo A.
8
2016
Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones. Zbl 1327.90180
Saunderson, James; Parrilo, Pablo A.
8
2015
\(\mathcal H_2\)-optimal decentralized control over posets: a state-space solution for state-feedback. Zbl 1369.93045
Shah, Parikshit; Parrilo, Pablo A.
8
2013
Diagonal and low-rank matrix decompositions, correlation matrices, and ellipsoid fitting. Zbl 1270.90043
Saunderson, J.; Chandrasekaran, V.; Parrilo, P. A.; Willsky, A. S.
8
2012
On the equivalence of algebraic approaches to the minimization of forms on the simplex. Zbl 1138.90439
de Klerk, Etienne; Laurent, Monique; Parillo, Pablo
8
2005
Equivariant semidefinite lifts of regular polygons. Zbl 1364.90245
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
7
2017
Lower bounds on nonnegative rank via nonnegative nuclear norms. Zbl 1327.90202
Fawzi, Hamza; Parrilo, Pablo A.
7
2015
Sparse sums of squares on finite abelian groups and improved semidefinite lifts. Zbl 1387.90180
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
6
2016
Analysis of the joint spectral radius via Lyapunov functions on path-complete graphs. Zbl 1364.93376
Ahmadi, Amir Ali; Jungers, Raphaël; Parrilo, Pablo A.; Roozbehani, Mardavij
6
2011
Parametric optimization and optimal control using algebraic geometry methods. Zbl 1133.93337
Fotiou, I. A.; Rostalski, P.; Parrilo, P. A.; Morari, M.
6
2006
An efficient tree decomposition method for permanents and mixed discriminants. Zbl 1329.15020
Cifuentes, Diego; Parrilo, Pablo A.
5
2016
A globally convergent incremental Newton method. Zbl 1316.49033
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P.
5
2015
Polynomial optimization, sums of squares, and applications. Zbl 1360.90194
Parrilo, Pablo A.
5
2013
Convex graph invariants. Zbl 1250.05091
Chandrasekaran, Venkat; Parrilo, Pablo A.; Willsky, Alan S.
5
2012
Computation with polynomial equations and inequalities arising in combinatorial optimization. Zbl 1242.90191
De Loera, Jesús A.; Malkin, Peter N.; Parrilo, Pablo A.
5
2012
On cone-invariant linear matrix inequalities. Zbl 0988.93029
Parrilo, Pablo A.; Khatri, Sven
5
2000
Sampling algebraic varieties for sum of squares programs. Zbl 1386.90099
Cifuentes, Diego; Parrilo, Pablo A.
4
2017
Exploiting chordal structure in polynomial ideals: a Gröbner bases approach. Zbl 1353.13033
Cifuentes, Diego; Parrilo, Pablo A.
4
2016
Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Zbl 1192.82104
Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J.
4
2010
Separable and low-rank continuous games. Zbl 1160.91003
Stein, Noah D.; Ozdaglar, Asuman; Parrilo, Pablo A.
4
2008
On the asymptotic minimum number of monochromatic 3-term arithmetic progressions. Zbl 1210.05172
Parrilo, Pablo A.; Robertson, Aaron; Saracino, Dan
4
2008
Approximation of the joint spectral radius of a set of matrices using sum of squares. Zbl 1221.65098
Parrilo, Pablo A.; Jadbabaie, Ali
4
2007
Approximate cone factorizations and lifts of polytopes. Zbl 1319.52010
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R.
3
2015
Correlated equilibria in continuous games: characterization and computation. Zbl 1208.91018
Stein, Noah D.; Parrilo, Pablo A.; Ozdaglar, Asuman
3
2011
How to flatten a soccer ball. Zbl 1406.14042
Kubjas, Kaie; Parrilo, Pablo A.; Sturmfels, Bernd
2
2017
A characterization of Lyapunov inequalities for stability of switched systems. Zbl 1369.93532
Jungers, Raphaël M.; Ahmadi, Amir Ali; Parrilo, Pablo A.; Roozbehani, Mardavij
2
2017
Semidefinite programming approach to Gaussian sequential rate-distortion trade-offs. Zbl 1366.90159
Tanaka, Takashi; Kim, Kwang-Ki K.; Parrilo, Pablo A.; Mitter, Sanjoy K.
2
2017
Weighted \(\ell_1\)-minimization for generalized non-uniform sparse model. Zbl 1359.94139
Misra, Sidhant; Parrilo, Pablo A.
2
2015
Structured semidefinite programs for the control of symmetric systems. Zbl 1283.93116
Cogill, Randy; Lall, Sanjay; Parrilo, Pablo A.
2
2008
Convergence rate of incremental gradient and incremental Newton methods. Zbl 1428.90119
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P. A.
1
2019
Semidefinite approximations of the matrix logarithm. Zbl 1411.90254
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
1
2019
Chordal networks of polynomial ideals. Zbl 1444.13037
Cifuentes, Diego; Parrilo, Pablo A.
1
2017
Generating unstable trajectories for switched systems via dual sum-of-squares techniques. Zbl 1364.93315
Legat, Benoît; Jungers, Raphaël M.; Parrilo, Pablo A.
1
2016
Iterative auction design for tree valuations. Zbl 1329.91046
Candogan, Ozan; Ozdaglar, Asuman; Parrilo, Pablo A.
1
2015
Semidefinite optimization. Zbl 1360.90193
Parrilo, Pablo A.
1
2013
What is convex algebraic geometry? Zbl 1360.90186
Blekherman, Grigoriy; Parrilo, Pablo A.; Thomas, Rekha R.
1
2013
Structure of extreme correlated equilibria: A zero-sum example and its implications. Zbl 1233.91051
Stein, Noah D.; Ozdaglar, Asuman; Parrilo, Pablo A.
1
2011
An inequality for circle packings proved by semidefinite programming. Zbl 1059.51020
Parrilo, Pablo A.; Peretz, Ronen
1
2004
A convex approach to robust \({\mathcal H}_{2}\) performance analysis. Zbl 1012.93023
Sznaier, M.; Amishima, T.; Parrilo, P. A.; Tierno, J.
1
2002
A parametric extension of mixed time/frequency robust identification. Zbl 0958.93028
Parrilo, Pablo A.; Sánchez Peña, Ricardo S.; Sznaier, Mario
1
1999
Convergence rate of incremental gradient and incremental Newton methods. Zbl 1428.90119
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P. A.
1
2019
Semidefinite approximations of the matrix logarithm. Zbl 1411.90254
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
1
2019
Partial facial reduction: simplified, equivalent SDPs via approximations of the PSD cone. Zbl 1405.90098
Permenter, Frank; Parrilo, Pablo
16
2018
On the convergence rate of incremental aggregated gradient algorithms. Zbl 1366.90195
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P. A.
15
2017
Equivariant semidefinite lifts of regular polygons. Zbl 1364.90245
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
7
2017
Sampling algebraic varieties for sum of squares programs. Zbl 1386.90099
Cifuentes, Diego; Parrilo, Pablo A.
4
2017
How to flatten a soccer ball. Zbl 1406.14042
Kubjas, Kaie; Parrilo, Pablo A.; Sturmfels, Bernd
2
2017
A characterization of Lyapunov inequalities for stability of switched systems. Zbl 1369.93532
Jungers, Raphaël M.; Ahmadi, Amir Ali; Parrilo, Pablo A.; Roozbehani, Mardavij
2
2017
Semidefinite programming approach to Gaussian sequential rate-distortion trade-offs. Zbl 1366.90159
Tanaka, Takashi; Kim, Kwang-Ki K.; Parrilo, Pablo A.; Mitter, Sanjoy K.
2
2017
Chordal networks of polynomial ideals. Zbl 1444.13037
Cifuentes, Diego; Parrilo, Pablo A.
1
2017
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank. Zbl 1346.90662
Fawzi, Hamza; Parrilo, Pablo A.
8
2016
Sparse sums of squares on finite abelian groups and improved semidefinite lifts. Zbl 1387.90180
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
6
2016
An efficient tree decomposition method for permanents and mixed discriminants. Zbl 1329.15020
Cifuentes, Diego; Parrilo, Pablo A.
5
2016
Exploiting chordal structure in polynomial ideals: a Gröbner bases approach. Zbl 1353.13033
Cifuentes, Diego; Parrilo, Pablo A.
4
2016
Generating unstable trajectories for switched systems via dual sum-of-squares techniques. Zbl 1364.93315
Legat, Benoît; Jungers, Raphaël M.; Parrilo, Pablo A.
1
2016
Positive semidefinite rank. Zbl 1327.90174
Fawzi, Hamza; Gouveia, João; Parrilo, Pablo A.; Robinson, Richard Z.; Thomas, Rekha R.
24
2015
Equivariant semidefinite lifts and sum-of-squares hierarchies. Zbl 1327.90175
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
13
2015
Semidefinite descriptions of the convex hull of rotation matrices. Zbl 1317.90231
Saunderson, J.; Parrilo, P. A.; Willsky, A. S.
9
2015
Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones. Zbl 1327.90180
Saunderson, James; Parrilo, Pablo A.
8
2015
Lower bounds on nonnegative rank via nonnegative nuclear norms. Zbl 1327.90202
Fawzi, Hamza; Parrilo, Pablo A.
7
2015
A globally convergent incremental Newton method. Zbl 1316.49033
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P.
5
2015
Approximate cone factorizations and lifts of polytopes. Zbl 1319.52010
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R.
3
2015
Weighted \(\ell_1\)-minimization for generalized non-uniform sparse model. Zbl 1359.94139
Misra, Sidhant; Parrilo, Pablo A.
2
2015
Iterative auction design for tree valuations. Zbl 1329.91046
Candogan, Ozan; Ozdaglar, Asuman; Parrilo, Pablo A.
1
2015
Joint spectral radius and path-complete graph Lyapunov functions. Zbl 1292.93093
Ahmadi, Amir Ali; Jungers, Raphaël M.; Parrilo, Pablo A.; Roozbehani, Mardavij
19
2014
Semidefinite optimization and convex algebraic geometry. Zbl 1260.90006
Blekherman, Grigoriy (ed.); Parrilo, Pablo A. (ed.); Thomas, Rekha R. (ed.)
95
2013
Lifts of convex sets and cone factorizations. Zbl 1291.90172
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R.
56
2013
NP-hardness of deciding convexity of quartic polynomials and related problems. Zbl 1274.90516
Ahmadi, Amir Ali; Olshevsky, Alex; Parrilo, Pablo A.; Tsitsiklis, John N.
23
2013
A complete characterization of the gap between convexity and sos-convexity. Zbl 1295.52009
Ahmadi, Amir Ali; Parrilo, Pablo A.
21
2013
Dynamics in near-potential games. Zbl 1282.91048
Candogan, Ozan; Ozdaglar, Asuman; Parrilo, Pablo A.
14
2013
\(\mathcal H_2\)-optimal decentralized control over posets: a state-space solution for state-feedback. Zbl 1369.93045
Shah, Parikshit; Parrilo, Pablo A.
8
2013
Polynomial optimization, sums of squares, and applications. Zbl 1360.90194
Parrilo, Pablo A.
5
2013
Semidefinite optimization. Zbl 1360.90193
Parrilo, Pablo A.
1
2013
What is convex algebraic geometry? Zbl 1360.90186
Blekherman, Grigoriy; Parrilo, Pablo A.; Thomas, Rekha R.
1
2013
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
105
2012
Latent variable graphical model selection via convex optimization. Zbl 1257.62061
Chandrasekaran, Venkat; Parrilo, Pablo A.; Willsky, Alan S.
53
2012
A convex polynomial that is not sos-convex. Zbl 1254.90159
Ahmadi, Amir Ali; Parrilo, Pablo A.
19
2012
Rejoinder: Latent variable graphical model selection via convex optimization. Zbl 1288.62085
Chandrasekaran, Venkat; Parrilo, Pablo A.; Willsky, Alan S.
18
2012
A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs. Zbl 1262.90123
Gouveia, João; Laurent, Monique; Parrilo, Pablo A.; Thomas, Rekha
11
2012
Diagonal and low-rank matrix decompositions, correlation matrices, and ellipsoid fitting. Zbl 1270.90043
Saunderson, J.; Chandrasekaran, V.; Parrilo, P. A.; Willsky, A. S.
8
2012
Convex graph invariants. Zbl 1250.05091
Chandrasekaran, Venkat; Parrilo, Pablo A.; Willsky, Alan S.
5
2012
Computation with polynomial equations and inequalities arising in combinatorial optimization. Zbl 1242.90191
De Loera, Jesús A.; Malkin, Peter N.; Parrilo, Pablo A.
5
2012
Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067
Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S.
114
2011
A hierarchy of near-optimal policies for multistage adaptive optimization. Zbl 1368.93336
Bertsimas, Dimitris; Iancu, Dan Andrei; Parrilo, Pablo A.
26
2011
Flows and decompositions of games: harmonic and potential games. Zbl 1239.91006
Candogan, Ozan; Menache, Ishai; Ozdaglar, Asuman; Parrilo, Pablo A.
25
2011
Analysis of the joint spectral radius via Lyapunov functions on path-complete graphs. Zbl 1364.93376
Ahmadi, Amir Ali; Jungers, Raphaël; Parrilo, Pablo A.; Roozbehani, Mardavij
6
2011
Correlated equilibria in continuous games: characterization and computation. Zbl 1208.91018
Stein, Noah D.; Parrilo, Pablo A.; Ozdaglar, Asuman
3
2011
Structure of extreme correlated equilibria: A zero-sum example and its implications. Zbl 1233.91051
Stein, Noah D.; Ozdaglar, Asuman; Parrilo, Pablo A.
1
2011
Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization. Zbl 1198.90321
Recht, Benjamin; Fazel, Maryam; Parrilo, Pablo A.
370
2010
Constrained consensus and optimization in multi-agent networks. Zbl 1368.90143
Nedić, Angelia; Ozdaglar, Asuman; Parrilo, Pablo A.
135
2010
Theta bodies for polynomial ideals. Zbl 1213.90190
Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R.
46
2010
Optimality of affine policies in multistage robust optimization. Zbl 1218.90216
Bertsimas, Dimitris; Iancu, Dan A.; Parrilo, Pablo A.
38
2010
Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Zbl 1192.82104
Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J.
4
2010
Fastest mixing Markov chain on graphs with symmetries. Zbl 1189.05072
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
12
2009
Approximation of the joint spectral radius using sum of squares. Zbl 1151.65032
Parrilo, Pablo A.; Jadbabaie, Ali
25
2008
Computing sum of squares decompositions with rational coefficients. Zbl 1156.65062
Peyrl, Helfried; Parrilo, Pablo A.
24
2008
Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming. Zbl 1283.93217
Aylward, Erin M.; Parrilo, Pablo A.; Slotine, Jean-Jacques E.
20
2008
Semidefinite representation of the \(k\)-ellipse. Zbl 1171.90498
Nie, Jiawang; Parrilo, Pablo A.; Sturmfels, Bernd
9
2008
Separable and low-rank continuous games. Zbl 1160.91003
Stein, Noah D.; Ozdaglar, Asuman; Parrilo, Pablo A.
4
2008
On the asymptotic minimum number of monochromatic 3-term arithmetic progressions. Zbl 1210.05172
Parrilo, Pablo A.; Robertson, Aaron; Saracino, Dan
4
2008
Structured semidefinite programs for the control of symmetric systems. Zbl 1283.93116
Cogill, Randy; Lall, Sanjay; Parrilo, Pablo A.
2
2008
Approximation of the joint spectral radius of a set of matrices using sum of squares. Zbl 1221.65098
Parrilo, Pablo A.; Jadbabaie, Ali
4
2007
A PTAS for the minimization of polynomials of fixed degree over the simplex. Zbl 1115.90042
De Klerk, Etienne; Laurent, Monique; Parrilo, Pablo A.
34
2006
Parametric optimization and optimal control using algebraic geometry methods. Zbl 1133.93337
Fotiou, I. A.; Rostalski, P.; Parrilo, P. A.; Morari, M.
6
2006
The Lax conjecture is true. Zbl 1073.90029
Lewis, A. S.; Parrilo, P. A.; Ramana, M. V.
54
2005
SOSTOOLS and its control applications. Zbl 1119.93302
Prajna, Stephen; Papachristodoulou, Antonis; Seiler, Peter; Parrilo, Pablo A.
31
2005
Symmetry analysis of reversible Markov chains. Zbl 1087.60057
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
17
2005
Exploiting algebraic structure in sum of squares programs. Zbl 1070.90081
Parrilo, Pablo A.
9
2005
On the equivalence of algebraic approaches to the minimization of forms on the simplex. Zbl 1138.90439
de Klerk, Etienne; Laurent, Monique; Parillo, Pablo
8
2005
Symmetry groups, semidefinite programs, and sums of squares. Zbl 1108.13021
Gatermann, Karin; Parrilo, Pablo A.
75
2004
Nonlinear control synthesis by convex optimization. Zbl 1365.93164
Prajna, Stephen; Parrilo, Pablo A.; Rantzer, Anders
39
2004
An inequality for circle packings proved by semidefinite programming. Zbl 1059.51020
Parrilo, Pablo A.; Peretz, Ronen
1
2004
Semidefinite programming relaxations for semialgebraic problems. Zbl 1043.14018
Parrilo, Pablo A.
260
2003
Minimizing polynomial functions. Zbl 1099.13516
Parrilo, Pablo A.; Sturmfels, Bernd
84
2003
Semidefinite programming relaxations and algebraic optimization in control. Zbl 1293.93302
Parrilo, Pablo A.; Lall, Sanjay
18
2003
A convex approach to robust \({\mathcal H}_{2}\) performance analysis. Zbl 1012.93023
Sznaier, M.; Amishima, T.; Parrilo, P. A.; Tierno, J.
1
2002
On cone-invariant linear matrix inequalities. Zbl 0988.93029
Parrilo, Pablo A.; Khatri, Sven
5
2000
A parametric extension of mixed time/frequency robust identification. Zbl 0958.93028
Parrilo, Pablo A.; Sánchez Peña, Ricardo S.; Sznaier, Mario
1
1999
Mixed time/frequency-domain based robust identification. Zbl 0963.93017
Parrilo, P. A.; Sznaier, M.; Sánchez Peña, R. S.; Inanc, T.
9
1998
all top 5

Cited by 2,603 Authors

34 Parrilo, Pablo A.
23 Nie, Jiawang
20 de Klerk, Etienne
17 Jeyakumar, Vaithilingam
17 Klep, Igor
16 Laurent, Monique
14 Gouveia, Joao
14 Li, Guoyin
12 Ahmadi, Amir Ali
12 Sturmfels, Bernd
11 Bertsimas, Dimitris John
11 Chandrasekaran, Venkat
11 Fawzi, Hamza
11 Helton, John William
11 Hong, Yiguang
11 Lasserre, Jean-Bernard
11 Ma, Shiqian
11 Thomas, Rekha R.
11 Yuan, Xiaoming
10 Blekherman, Grigoriy
10 Qi, Liqun
10 Rauhut, Holger
10 Saunderson, James
10 Tunçel, Levent
9 den Hertog, Dick
9 Han, Deren
9 Jungers, Raphaël M.
8 Cheng, Daizhan
8 Goldfarb, Donald
8 Ozdaglar, Asuman E.
8 Povh, Janez
8 Recht, Benjamin
8 Shi, Guodong
8 Sotirov, Renata
8 Sun, Defeng
8 Theobald, Thorsten
8 Toh, Kimchuan
8 Wu, Zhiyou
8 Xiu, Naihua
8 Yin, Wotao
7 Brändén, Petter
7 Chien, Mao-Ting
7 Chuong, Thai Doan
7 Gaubert, Stéphane
7 Kozyakin, Viktor Sergeevich
7 Kurpisz, Adam
7 Mastrolilli, Monaldo
7 McCullough, Scott A.
7 Muramatsu, Masakazu
7 Nakazato, Hiroshi
7 Pasechnik, Dmitrii V.
7 Pokutta, Sebastian
7 Robinson, Richard Z.
7 Rustem, Berc
7 Shitov, Yaroslav Nikolaevich
7 Velasco, Mauricio
7 Vera, Juan-Carlos
7 Waki, Hayato
7 Zhang, Shuzhong
6 Anjos, Miguel F.
6 Bi, Shujun
6 Cafuta, Kristijan
6 Cai, Jian-Feng
6 Cai, Tony Tony
6 Cerone, Vito
6 Ding, Chao
6 Georghiou, Angelos
6 Gillis, Nicolas
6 Hall, Georgina
6 Hu, ShengLong
6 Huang, Zheng-Hai
6 Kuhn, Daniel
6 Li, Jueyou
6 Nedić, Angelia
6 Netzer, Tim
6 Packard, Andrew K.
6 Pan, Shaohua
6 Phạm Tiên So’n
6 Regruto, Diego
6 Safey El Din, Mohab
6 Sanyal, Raman
6 She, Zhikun
6 Sinn, Rainer
6 Sun, Zhao
6 Tian, Yongge
6 Wen, Zaiwen
6 Yuan, Deming
5 Allamigeon, Xavier
5 Aravkin, Aleksandr Y.
5 Bomze, Immanuel M.
5 Braun, Gábor
5 Cevher, Volkan
5 Chernyshenko, Sergei I.
5 Chi, Yuejie
5 De Loera, Jesús A.
5 de Wolff, Timo
5 Fadili, Jalal M.
5 Fiorini, Samuel
5 Giesl, Peter
5 Girard, Antoine
...and 2,503 more Authors
all top 5

Cited in 290 Serials

142 Mathematical Programming. Series A. Series B
107 Automatica
79 SIAM Journal on Optimization
61 Linear Algebra and its Applications
42 Systems & Control Letters
38 Computational Optimization and Applications
37 Journal of Global Optimization
33 The Annals of Statistics
30 Journal of Optimization Theory and Applications
26 Applied and Computational Harmonic Analysis
24 Journal of the Franklin Institute
23 Journal of Symbolic Computation
21 SIAM Journal on Control and Optimization
21 Foundations of Computational Mathematics
20 International Journal of Control
20 Operations Research
20 Optimization Letters
17 Operations Research Letters
17 European Journal of Operational Research
17 SIAM Journal on Imaging Sciences
16 Journal of Machine Learning Research (JMLR)
16 SIAM Journal on Applied Algebra and Geometry
14 Optimization Methods & Software
13 Discrete & Computational Geometry
13 International Journal of Robust and Nonlinear Control
12 Nonlinear Analysis. Hybrid Systems
11 Advances in Mathematics
11 Applied Mathematics and Computation
11 SIAM Journal on Matrix Analysis and Applications
11 Electronic Journal of Statistics
10 Information Sciences
10 Journal of Scientific Computing
10 Information and Inference
9 Journal of Pure and Applied Algebra
9 Neural Computation
9 SIAM Journal on Scientific Computing
9 Mathematical Problems in Engineering
9 Mathematical Programming Computation
9 Science China. Mathematics
8 Inverse Problems
8 Linear and Multilinear Algebra
8 Journal of Computational and Applied Mathematics
8 Theoretical Computer Science
8 Machine Learning
8 Journal of Systems Science and Complexity
7 Mathematics of Computation
7 Journal of Multivariate Analysis
7 Mathematics of Operations Research
7 SIAM Journal on Discrete Mathematics
7 Neural Networks
7 Numerical Algorithms
7 Games and Economic Behavior
6 SIAM Review
6 Numerical Linear Algebra with Applications
6 Complexity
6 European Journal of Control
6 Journal of the Operations Research Society of China
5 Journal of Mathematical Analysis and Applications
5 Journal of Combinatorial Theory. Series A
5 Optimization
5 Multidimensional Systems and Signal Processing
5 International Journal of Computer Vision
5 Bernoulli
5 The Journal of Fourier Analysis and Applications
5 Inverse Problems and Imaging
5 Asian Journal of Control
5 Statistics and Computing
4 Communications in Mathematical Physics
4 Proceedings of the American Mathematical Society
4 Asia-Pacific Journal of Operational Research
4 Journal of Mathematical Imaging and Vision
4 Formal Methods in System Design
4 Advances in Computational Mathematics
4 Nonlinear Dynamics
4 Abstract and Applied Analysis
4 Optimization and Engineering
4 International Journal of Wavelets, Multiresolution and Information Processing
4 Computational Management Science
4 Journal of Industrial and Management Optimization
4 Frontiers of Mathematics in China
3 Discrete Applied Mathematics
3 Journal of Computational Physics
3 Journal of Fluid Mechanics
3 Journal of Mathematical Physics
3 Fuzzy Sets and Systems
3 Journal of Algebra
3 Journal of the American Statistical Association
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 Applied Numerical Mathematics
3 Journal of Complexity
3 Statistical Science
3 Computers & Operations Research
3 Journal of Automated Reasoning
3 Applied Mathematics Letters
3 Journal of the American Mathematical Society
3 The Annals of Applied Probability
3 Discrete Event Dynamic Systems
3 Applied Mathematical Modelling
...and 190 more Serials
all top 5

Cited in 54 Fields

835 Operations research, mathematical programming (90-XX)
313 Systems theory; control (93-XX)
295 Numerical analysis (65-XX)
238 Computer science (68-XX)
222 Linear and multilinear algebra; matrix theory (15-XX)
149 Statistics (62-XX)
123 Information and communication theory, circuits (94-XX)
116 Algebraic geometry (14-XX)
110 Calculus of variations and optimal control; optimization (49-XX)
100 Convex and discrete geometry (52-XX)
93 Combinatorics (05-XX)
72 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
60 Commutative algebra (13-XX)
59 Probability theory and stochastic processes (60-XX)
45 Operator theory (47-XX)
32 Field theory and polynomials (12-XX)
31 Quantum theory (81-XX)
30 Number theory (11-XX)
28 Ordinary differential equations (34-XX)
26 Functional analysis (46-XX)
23 Dynamical systems and ergodic theory (37-XX)
20 Partial differential equations (35-XX)
20 Biology and other natural sciences (92-XX)
15 Real functions (26-XX)
15 Approximations and expansions (41-XX)
13 Group theory and generalizations (20-XX)
8 Mathematical logic and foundations (03-XX)
8 Mechanics of particles and systems (70-XX)
7 Functions of a complex variable (30-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Geometry (51-XX)
7 Fluid mechanics (76-XX)
6 Associative rings and algebras (16-XX)
6 Differential geometry (53-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 General and overarching topics; collections (00-XX)
5 Topological groups, Lie groups (22-XX)
5 Special functions (33-XX)
5 Integral transforms, operational calculus (44-XX)
4 General algebraic systems (08-XX)
4 Nonassociative rings and algebras (17-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Optics, electromagnetic theory (78-XX)
3 History and biography (01-XX)
3 Abstract harmonic analysis (43-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of deformable solids (74-XX)
3 Geophysics (86-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Measure and integration (28-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year