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Pablo A. Parrilo

Identifiers

  • name variant Pablo A. Parrilo 0.60 · backfill

Papers (62)

  1. An entropy-based bound for the computational complexity of a switched system math.OC · 2019 · author #2
  2. Sum of squares certificates for stability of planar, homogeneous, and switched systems math.OC · 2017 · author #2
  3. How to flatten a soccer ball math.AG · 2016 · author #2
  4. Chordal networks of polynomial ideals cs.SC · 2016 · author #2
  5. Sampling algebraic varieties for sum of squares programs math.OC · 2015 · author #2
  6. An efficient tree decomposition method for permanents and mixed discriminants cs.DM · 2015 · author #2
  7. Sparse sum-of-squares certificates on finite abelian groups math.OC · 2015 · author #3
  8. Semidefinite Programming Approach to Gaussian Sequential Rate-Distortion Trade-offs math.OC · 2014 · author #3
  9. A convex solution to Psiaki's first joint attitude and spin-rate estimation problem math.OC · 2014 · author #2
  10. Equivariant semidefinite lifts of regular polygons math.OC · 2014 · author #3
  11. Positive semidefinite rank math.OC · 2014 · author #3
  12. Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank math.OC · 2014 · author #2
  13. Semidefinite descriptions of the convex hull of rotation matrices math.OC · 2014 · author #2
  14. Optimal Output Feedback Architecture for Triangular LQG Problems math.OC · 2014 · author #2
  15. Equivariant semidefinite lifts and sum-of-squares hierarchies math.OC · 2013 · author #3
  16. Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity math.OC · 2013 · author #2
  17. Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions math.OC · 2013 · author #2
  18. Approximate cone factorizations and lifts of polytopes math.OC · 2013 · author #2
  19. Exchangeable Equilibria, Part I: Symmetric Bimatrix Games cs.GT · 2013 · author #3
  20. Weighted $\ell_1$-minimization for generalized non-uniform sparse model cs.IT · 2013 · author #2
  21. Rejoinder: Latent variable graphical model selection via convex optimization math.ST · 2012 · author #2
  22. Lower bounds on nonnegative rank via nonnegative nuclear norms math.OC · 2012 · author #2
  23. Polynomial-sized Semidefinite Representations of Derivative Relaxations of Spectrahedral Cones math.OC · 2012 · author #2
  24. Diagonal and Low-Rank Matrix Decompositions, Correlation Matrices, and Ellipsoid Fitting math.OC · 2012 · author #3
  25. When is a set of LMIs a sufficient condition for stability? math.OC · 2012 · author #3
  26. A Complete Characterization of the Gap between Convexity and SOS-Convexity math.OC · 2011 · author #2
  27. Joint Spectral Radius and Path-Complete Graph Lyapunov Functions math.OC · 2011 · author #3
  28. Lifts of convex sets and cone factorizations math.OC · 2011 · author #2
  29. H_2-Optimal Decentralized Control over Posets: A State-Space Solution for State-Feedback math.OC · 2011 · author #2
  30. NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems math.OC · 2010 · author #3
  31. Convex Graph Invariants math.OC · 2010 · author #2
  32. The Convex Geometry of Linear Inverse Problems math.OC · 2010 · author #3
  33. Exchangeable equilibria contradict exactness of the Papadimitriou-Roughgarden algorithm cs.GT · 2010 · author #2
  34. Latent variable graphical model selection via convex optimization math.ST · 2010 · author #2
  35. A partial proof of Nash's Theorem via exchangeable equilibria cs.GT · 2010 · author #2
  36. Flows and Decompositions of Games: Harmonic and Potential Games cs.GT · 2010 · author #4
  37. Structure of Extreme Correlated Equilibria: a Zero-Sum Example and its Implications cs.GT · 2010 · author #3
  38. Computation with Polynomial Equations and Inequalities arising in Combinatorial Optimization math.OC · 2009 · author #3
  39. A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs math.OC · 2009 · author #3
  40. Band Gap Optimization of Two-Dimensional Photonic Crystals Using Semidefinite Programming and Subspace Methods math.OC · 2009 · author #4
  41. Rank-Sparsity Incoherence for Matrix Decomposition math.OC · 2009 · author #3
  42. Optimality of Affine Policies in Multi-stage Robust Optimization math.OC · 2009 · author #3
  43. A convex polynomial that is not sos-convex math.OC · 2009 · author #2
  44. Correlated Equilibria in Continuous Games: Characterization and Computation cs.GT · 2008 · author #2
  45. Theta Bodies for Polynomial Ideals math.OC · 2008 · author #2
  46. Polynomial stochastic games via sum of squares optimization math.OC · 2008 · author #2
  47. Constrained Consensus math.OC · 2008 · author #3
  48. Approximation of the joint spectral radius using sum of squares math.OC · 2007 · author #1
  49. Fastest mixing Markov chain on graphs with symmetries math.PR · 2007 · author #3
  50. Separable and Low-Rank Continuous Games cs.GT · 2007 · author #3
  51. Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization math.OC · 2007 · author #3
  52. Semidefinite Representation of the $k$-Ellipse math.AG · 2007 · author #2
  53. On the asymptotic minimum number of monochromatic 3-term arithmetic progressions math.CO · 2006 · author #1
  54. Improved quantum algorithms for the ordered search problem via semidefinite programming quant-ph · 2006 · author #3
  55. Stability and Robustness Analysis of Nonlinear Systems via Contraction Metrics and SOS Programming math.OC · 2006 · author #2
  56. Detecting multipartite entanglement quant-ph · 2004 · author #2
  57. A complete family of separability criteria quant-ph · 2003 · author #2
  58. The Lax conjecture is true math.OC · 2003 · author #2
  59. Symmetry groups, semidefinite programs, and sums of squares math.AC · 2002 · author #2
  60. A geometric inequality for circle packings math.AG · 2002 · author #1
  61. Distinguishing separable and entangled states quant-ph · 2001 · author #2
  62. Minimizing Polynomial Functions math.OC · 2001 · author #1

Mentions

  • 1312.6662 #3 · backfill · confidence 0.70 Pablo A. Parrilo
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  • 0904.3986 #3 · backfill · confidence 0.70 Pablo A. Parrilo
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  • 0806.2469 #2 · backfill · confidence 0.70 Pablo A. Parrilo
  • 0802.3922 #3 · backfill · confidence 0.70 Pablo A. Parrilo
  • 0712.2887 #1 · backfill · confidence 0.70 Pablo A. Parrilo
  • 0709.0955 #3 · backfill · confidence 0.70 Pablo A. Parrilo
  • 0707.3462 #3 · backfill · confidence 0.70 Pablo A. Parrilo
  • 0706.4138 #3 · backfill · confidence 0.70 Pablo A. Parrilo

Frequent Coauthors