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- Pablo A. Parrilo

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
48
Citations
12,778
143
World Ranking
1672
National Ranking
702

Mathematics
D-index
57
Citations
23,330
223
World Ranking
471
National Ranking
253

Computer Science
D-index
53
Citations
22,183
200
World Ranking
3100
National Ranking
1613

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

- Algebra
- Mathematical analysis
- Statistics

The scientist’s investigation covers issues in Mathematical optimization, Semidefinite programming, Convex optimization, Combinatorics and Discrete mathematics. The various areas that Pablo A. Parrilo examines in his Mathematical optimization study include State and Linear dynamical system. The concepts of his Semidefinite programming study are interwoven with issues in Quadratically constrained quadratic program, Real algebraic geometry, Polynomial, Combinatorial optimization and Sum-of-squares optimization.

His work carried out in the field of Convex optimization brings together such families of science as Floating point, Arbitrary-precision arithmetic, Algebra, Affine space and Applied mathematics. His Combinatorics research is multidisciplinary, incorporating elements of Elementary symmetric polynomial, Symmetry, Convex hull and Symmetric polynomial. His Discrete mathematics research incorporates themes from Multipartite entanglement, Quantum entanglement, Entanglement witness and Peres–Horodecki criterion.

- Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization (2790 citations)
- Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization (1666 citations)
- Constrained Consensus and Optimization in Multi-Agent Networks (1386 citations)

His scientific interests lie mostly in Combinatorics, Semidefinite programming, Mathematical optimization, Discrete mathematics and Polynomial. Pablo A. Parrilo focuses mostly in the field of Combinatorics, narrowing it down to topics relating to Matrix and, in certain cases, Rank. The Semidefinite programming study combines topics in areas such as Semidefinite embedding, Quadratically constrained quadratic program, Convex hull, Algebra and Upper and lower bounds.

His Mathematical optimization research incorporates elements of Algorithm, Lyapunov function and Convex optimization. His studies in Convex optimization integrate themes in fields like Linear matrix inequality and Applied mathematics. His study looks at the relationship between Polynomial and fields such as Explained sum of squares, as well as how they intersect with chemical problems.

- Combinatorics (30.33%)
- Semidefinite programming (28.67%)
- Mathematical optimization (24.67%)

- Combinatorics (30.33%)
- Semidefinite programming (28.67%)
- Positive-definite matrix (8.33%)

His primary areas of investigation include Combinatorics, Semidefinite programming, Positive-definite matrix, Discrete mathematics and Applied mathematics. The study incorporates disciplines such as Matrix and Regular polygon in addition to Combinatorics. His Semidefinite programming research is multidisciplinary, incorporating perspectives in Second-order cone programming, Rank, Algebra, Optimization problem and Upper and lower bounds.

As part of one scientific family, Pablo A. Parrilo deals mainly with the area of Optimization problem, narrowing it down to issues related to the Parsing, and often Algorithm. His Discrete mathematics research integrates issues from Graph, Polynomial and Explained sum of squares. Pablo A. Parrilo interconnects Stability, Exponential stability, Mathematical optimization, Hybrid system and Convex optimization in the investigation of issues within Lyapunov function.

- On the Convergence Rate of Incremental Aggregated Gradient Algorithms (70 citations)
- Semidefinite Programming Approach to Gaussian Sequential Rate-Distortion Trade-Offs (61 citations)
- Partial facial reduction: simplified, equivalent SDPs via approximations of the PSD cone (56 citations)

- Algebra
- Mathematical analysis
- Statistics

His main research concerns Combinatorics, Semidefinite programming, Discrete mathematics, Positive-definite matrix and Convex function. Pablo A. Parrilo studies Combinatorics, namely Chordal graph. His research integrates issues of Fourier analysis, Optimization problem and Representation in his study of Semidefinite programming.

His Discrete mathematics study combines topics from a wide range of disciplines, such as Structure, Explained sum of squares, Algebraic number and Rank. His research investigates the link between Structure and topics such as Interpretation that cross with problems in Applied mathematics. His Rate of convergence research includes elements of Stochastic gradient descent, Mathematical optimization, Law of large numbers and Convex optimization.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Benjamin Recht;Maryam Fazel;Pablo A. Parrilo.

Siam Journal on Control and Optimization **(2010)**

3657 Citations

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

Benjamin Recht;Maryam Fazel;Pablo A. Parrilo.

Siam Journal on Control and Optimization **(2010)**

3657 Citations

Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization

Pablo A. Parrilo.

**(2000)**

2300 Citations

Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization

Pablo A. Parrilo.

**(2000)**

2300 Citations

Constrained Consensus and Optimization in Multi-Agent Networks

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

IEEE Transactions on Automatic Control **(2010)**

1817 Citations

Constrained Consensus and Optimization in Multi-Agent Networks

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

IEEE Transactions on Automatic Control **(2010)**

1817 Citations

Semidefinite programming relaxations for semialgebraic problems

Pablo A. Parrilo.

Mathematical Programming **(2003)**

1751 Citations

Semidefinite programming relaxations for semialgebraic problems

Pablo A. Parrilo.

Mathematical Programming **(2003)**

1751 Citations

The Convex Geometry of Linear Inverse Problems

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

Foundations of Computational Mathematics **(2012)**

1362 Citations

The Convex Geometry of Linear Inverse Problems

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

Foundations of Computational Mathematics **(2012)**

1362 Citations

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