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Pablo A. Parrilo

Pablo A. Parrilo

D-Index & Metrics

Computer Science

D-Index
59
Citations
26437
World Ranking
3328
National Ranking
1614

Mathematics

D-Index
61
Citations
27053
World Ranking
498
National Ranking
259

Research.com Recognitions

  • 2018 - SIAM Fellow For foundational contributions to algebraic methods in optimization and engineering.
  • 2016 - IEEE Fellow For contributions to semidefinite and sum-of-squares optimization

Overview

Pablo A. Parrilo is affiliated with MIT in the United States. Their research spans multiple fields including Computer Science, Engineering, and Mathematics, with a focus on several subfields such as Computational Theory and Mathematics, Numerical Analysis, Computational Mechanics, Artificial Intelligence, and Computer Vision and Pattern Recognition.

The main areas of study addressed by Pablo A. Parrilo include Advanced Optimization Algorithms Research, Sparse and Compressive Sensing Techniques, Complexity and Algorithms in Graphs, Stochastic Gradient Optimization Techniques, Robotic Path Planning Algorithms, Polynomial and Algebraic Computation, and Optimization and Search Problems.

They have authored several recent papers, among them:

  • Shortest Paths in Graphs of Convex Sets, 2024, SIAM Journal on Optimization
  • On the local stability of semidefinite relaxations, 2021, Mathematical Programming
  • Shortest Paths in Graphs of Convex Sets, 2021, arXiv (Cornell University)
  • Convergence rate of block-coordinate maximization Burer-Monteiro method for solving large SDPs, 2021, Mathematical Programming
  • Lifting for Simplicity: Concise Descriptions of Convex Sets, 2022, SIAM Review

Common co-authors frequently collaborating with Pablo A. Parrilo include:

  • Jason M. Altschuler
  • Tobia Marcucci
  • Russ Tedrake
  • Rekha R. Thomas
  • Alexandre Amice

They have published extensively in venues such as:

  • arXiv (Cornell University)
  • Mathematical Programming
  • SIAM Journal on Optimization
  • SIAM Review
  • Journal of the ACM

In addition to journal articles, Pablo A. Parrilo has contributed to book publications. One known work is Sum of Squares: Theory and Applications, published by the American Mathematical Society in 2020.

Professional recognition includes being named a SIAM Fellow in 2018 for foundational contributions to algebraic methods in optimization and engineering, as well as being an IEEE Fellow in 2016 for work on semidefinite and sum-of-squares optimization.

Best Publications

  • Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

    Benjamin Recht;Maryam Fazel;Pablo A. Parrilo

  • Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization

    Pablo A. Parrilo

  • Constrained Consensus and Optimization in Multi-Agent Networks

    A. Nedic;A. Ozdaglar;P.A. Parrilo

  • Semidefinite programming relaxations for semialgebraic problems

    Pablo A. Parrilo

  • The Convex Geometry of Linear Inverse Problems

    Venkat Chandrasekaran;Benjamin Recht;Pablo A. Parrilo;Alan S. Willsky

  • Rank-Sparsity Incoherence for Matrix Decomposition

    Venkat Chandrasekaran;Sujay Sanghavi;Pablo A. Parrilo;Alan S. Willsky

  • Semidefinite Optimization and Convex Algebraic Geometry

    Grigoriy Blekherman;Pablo A. Parrilo;Rekha R. Thomas

  • Introducing SOSTOOLS: a general purpose sum of squares programming solver

    S. Prajna;A. Papachristodoulou;P.A. Parrilo

  • Latent variable graphical model selection via convex optimization

    Venkat Chandrasekaran;Pablo A. Parrilo;Alan S. Willsky

  • Complete family of separability criteria

    Andrew C. Doherty;Pablo A. Parrilo;Federico M. Spedalieri

  • Distinguishing separable and entangled states.

    A. C. Doherty;Pablo A. Parrilo;Pablo A. Parrilo;Federico M. Spedalieri

  • Symmetry groups, semidefinite programs, and sums of squares

    Karin Gatermann;Pablo A. Parrilo

  • New developments in sum of squares optimization and SOSTOOLS

    S. Prajna;A. Papachristodoulou;P. Seiler;P.A. Parrilo

  • Sparse and low-rank matrix decompositions

    Venkat Chandrasekaran;Sujay Sanghavi;Pablo A. Parrilo;Alan S. Willsky

  • Nonlinear control synthesis by convex optimization

    S. Prajna;P.A. Parrilo;A. Rantzer

  • Minimizing Polynomial Functions

    Pablo A. Parrilo;Bernd Sturmfels

  • Optimality of Affine Policies in Multistage Robust Optimization

    Dimitris Bertsimas;Dan A. Iancu;Pablo A. Parrilo

  • Brief paper: Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming

    Erin M. Aylward;Pablo A. Parrilo;Jean-Jacques E. Slotine

  • Optimality of affine policies in multi-stage robust optimization

    Dimitris Bertsimas;Dan A. Iancu;Pablo A. Parrilo

  • $ {\cal H}_{2}$ -Optimal Decentralized Control Over Posets: A State-Space Solution for State-Feedback

    Parikshit Shah;Pablo A. Parrilo

Frequent Co-Authors

Mario Sznaier
Mario Sznaier Northeastern University
Monique Laurent
Monique Laurent Centrum Wiskunde & Informatica
Antonis Papachristodoulou
Antonis Papachristodoulou University of Oxford
Peter J. Seiler
Peter J. Seiler University of Michigan–Ann Arbor
Ishai Menache
Ishai Menache Microsoft (United States)
Benjamin Recht
Benjamin Recht University of California, Berkeley
Manfred Morari
Manfred Morari University of Pennsylvania

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