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1

The Convex Geometry of Linear Inverse Problems

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

Journal:

Foundations of Computational Mathematics

Year:

2012

Language:

english

File:

PDF, 1.42 MB

english, 2012

2

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

Recht, Benjamin, Fazel, Maryam, Parrilo, Pablo A.

Journal:

Year:

2010

Language:

english

File:

PDF, 404 KB

english, 2010

3

Constrained Consensus and Optimization in Multi-Agent Networks

Nedic, A., Ozdaglar, A., Parrilo, P.A.

Journal:

IEEE Transactions on Automatic Control

Year:

2010

Language:

english

File:

PDF, 607 KB

english, 2010

4

On cone-invariant linear matrix inequalities

Parrilo, P.A., Khatri, S.

Journal:

IEEE Transactions on Automatic Control

Year:

2000

Language:

english

File:

PDF, 206 KB

english, 2000

5

Complete family of separability criteria

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

Journal:

Physical Review A

Year:

2004

Language:

english

File:

PDF, 214 KB

english, 2004

6

Symmetry Analysis of Reversible Markov Chains

Boyd, Stephen, Diaconis, Persi, Parrilo, Pablo, Xiao, Lin

Journal:

Internet Mathematics

Year:

2005

Language:

english

File:

PDF, 566 KB

english, 2005

7

Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies

Fawzi, Hamza, Saunderson, James, Parrilo, Pablo A.

Journal:

SIAM Journal on Optimization

Year:

2015

Language:

english

File:

PDF, 739 KB

english, 2015

8

Flows and Decompositions of Games: Harmonic and Potential Games

Candogan, Ozan, Menache, Ishai, Ozdaglar, Asuman, Parrilo, Pablo A.

Journal:

Mathematics of Operations Research

Year:

2011

Language:

english

File:

PDF, 422 KB

english, 2011

9

Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming

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

Journal:

Year:

2008

Language:

english

File:

PDF, 571 KB

english, 2008

10

Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods

H. Men, N.C. Nguyen, R.M. Freund, P.A. Parrilo, J. Peraire

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 2.24 MB

english, 2010

11

Symmetry groups, semidefinite programs, and sums of squares

Karin Gatermann, Pablo A. Parrilo

Journal:

Journal of Pure and Applied Algebra

Year:

2004

Language:

english

File:

PDF, 395 KB

english, 2004

12

Approximation of the joint spectral radius using sum of squares

Pablo A. Parrilo, Ali Jadbabaie

Journal:

Linear Algebra and its Applications

Year:

2008

Language:

english

File:

PDF, 233 KB

english, 2008

13

A PTAS for the minimization of polynomials of fixed degree over the simplex

Etienne de Klerk, Monique Laurent, Pablo A. Parrilo

Journal:

Theoretical Computer Science

Year:

2006

Language:

english

File:

PDF, 284 KB

english, 2006

14

An Inequality for Circle Packings Proved by Semidefinite Programming

Pablo A. Parrilo, Ronen Peretz

Journal:

Discrete & Computational Geometry

Year:

2004

Language:

english

File:

PDF, 179 KB

english, 2004

15

Semidefinite programming relaxations for semialgebraic problems

Pablo A. Parrilo

Journal:

Mathematical Programming

Year:

2003

Language:

english

File:

PDF, 248 KB

english, 2003

16

A convex approach to robust H2 performance analysis

M. Sznaier, T. Amishima, P.A. Parrilo, J. Tierno

Journal:

Year:

2002

Language:

english

File:

PDF, 203 KB

english, 2002

17

Rank-Sparsity Incoherence for Matrix Decomposition

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

Journal:

SIAM Journal on Optimization

Year:

2011

Language:

english

File:

PDF, 374 KB

english, 2011

18

Diagonal and Low-Rank Matrix Decompositions, Correlation Matrices, and Ellipsoid Fitting

Saunderson, J., Chandrasekaran, V., Parrilo, P. A., Willsky, A. S.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 371 KB

english, 2012

19

NP-hardness of deciding convexity of quartic polynomials and related problems

Amir Ali Ahmadi, Alex Olshevsky, Pablo A. Parrilo, John N. Tsitsiklis

Journal:

Mathematical Programming

Year:

2013

Language:

english

File:

PDF, 274 KB

english, 2013

20

Nonlinear Control Synthesis by Convex Optimization

Prajna, S., Parrilo, P.A., Rantzer, A.

Journal:

IEEE Transactions on Automatic Control

Year:

2004

Language:

english

File:

PDF, 254 KB

english, 2004

21

Distinguishing Separable and Entangled States

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

Journal:

Physical Review Letters

Year:

2002

Language:

english

File:

PDF, 93 KB

english, 2002

22

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 3: Polynomial Optimization, Sums of Squares, and Applications

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

Year:

2012

Language:

english

File:

PDF, 2.81 MB

english, 2012

23

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

Shah, Parikshit, Parrilo, Pablo A.

Journal:

IEEE Transactions on Automatic Control

Year:

2013

Language:

english

File:

PDF, 2.73 MB

english, 2013

24

[IEEE 1999 Conference on Decision and Control - Phoenix, AZ, USA (7-10 Dec. 1999)] Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) - On the numerical solution of LMIs derived from the KYP lemma

Year:

1999

Language:

english

File:

PDF, 436 KB

english, 1999

25

Parametric optimization and optimal control using algebraic geometry methods

Fotiou, I. A., Rostalski, P., Parrilo, P. A., Morari, M.

Journal:

International Journal of Control

Year:

2006

Language:

english

File:

PDF, 412 KB

english, 2006

26

A Hierarchy of Near-Optimal Policies for Multistage Adaptive Optimization

Bertsimas, Dimitris, Iancu, Dan Andrei, Parrilo, Pablo A.

Journal:

IEEE Transactions on Automatic Control

Year:

2011

Language:

english

File:

PDF, 690 KB

english, 2011

27

The Lax Conjecture Is True

A. S. Lewis, P. A. Parrilo and M. V. Ramana

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 184 KB

english, 2005

28

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 1: What is Convex Algebraic Geometry?

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

Year:

2012

Language:

english

File:

PDF, 51 KB

english, 2012

29

Semidefinite Optimization and Convex Algebraic Geometry || Back Matter

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

Year:

2012

Language:

english

File:

PDF, 91 KB

english, 2012

30

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 2: Semidefinite Optimization

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

Year:

2012

Language:

english

File:

PDF, 2.57 MB

english, 2012

31

Semidefinite Optimization and Convex Algebraic Geometry || Chapter 4: Nonnegative Polynomials and Sums of Squares

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

Year:

2012

Language:

english

File:

PDF, 400 KB

english, 2012

32

Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank

Fawzi, Hamza, Parrilo, Pablo A.

Journal:

Mathematical Programming

Year:

2016

Language:

english

File:

PDF, 1.10 MB

english, 2016

33

Convex Solution to a Joint Attitude and Spin-Rate Estimation Problem

Saunderson, James, Parrilo, Pablo A., Willsky, Alan S.

Journal:

Journal of Guidance Control and Dynamics

Year:

2015

Language:

english

File:

PDF, 197 KB

english, 2015

34

Positive semidefinite rank

Fawzi, Hamza, Gouveia, João, Parrilo, Pablo A., Robinson, Richard Z., Thomas, Rekha R.

Journal:

Mathematical Programming

Year:

2015

Language:

english

File:

PDF, 1018 KB

english, 2015

35

Iterative Auction Design for Tree Valuations

Candogan, Ozan, Ozdaglar, Asuman, Parrilo, Pablo A.

Journal:

Operations Research

Year:

2015

Language:

english

File:

PDF, 382 KB

english, 2015

36

[IEEE 2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau (2004.12.14-2004.12.17)] 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) - From coefficients to samples: a new approach to SOS optimization

Lofberg, J., Parrilo, P.A.

Year:

2004

Language:

english

File:

PDF, 186 KB

english, 2004

37

Exploiting Chordal Structure in Polynomial Ideals: A Gröbner Bases Approach

Cifuentes, Diego, Parrilo, Pablo A.

Journal:

SIAM Journal on Discrete Mathematics

Year:

2016

Language:

english

File:

PDF, 1.50 MB

english, 2016

38

A Characterization of Lyapunov Inequalities for Stability of Switched Systems

Jungers, Raphael, Ahmadi, Amir Ali, Parrilo, Pablo A., Roozbehani, Mardavij

Journal:

IEEE Transactions on Automatic Control

Year:

2017

Language:

english

File:

PDF, 457 KB

english, 2017

39

[IEEE Proceedings of the 2004 American Control Conference - Boston, MA, USA (2004.6.30-2004.7.2)] Proceedings of the 2004 American Control Conference - New developments in sum of squares optimization and SOSTOOLS

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

Year:

2004

Language:

english

File:

PDF, 445 KB

english, 2004

40

Dimension reduction for semidefinite programs via Jordan algebras

Permenter, Frank, Parrilo, Pablo A.

Journal:

Mathematical Programming

Year:

2019

Language:

english

File:

PDF, 609 KB

english, 2019

41

Why random reshuffling beats stochastic gradient descent

Gürbüzbalaban, M., Ozdaglar, A., Parrilo, P. A.

Journal:

Mathematical Programming

Year:

2019

Language:

english

File:

PDF, 1.06 MB

english, 2019

42

Structured semidefinite programs for the control of symmetric systems

Randy Cogill, Sanjay Lall, Pablo A. Parrilo

Journal:

Year:

2008

Language:

english

File:

PDF, 392 KB

english, 2008

43

On the asymptotic minimum number of monochromatic 3-term arithmetic progressions

Pablo A. Parrilo, Aaron Robertson, Dan Saracino

Journal:

Journal of Combinatorial Theory, Series A

Year:

2008

Language:

english

File:

PDF, 123 KB

english, 2008

44

Mixed Time/Frequency-Domain Based Robust Identification

P.A. PARRILO, M. SZNAIER, R.S. SÁNCHEZ PEÑA, T. INANC

Journal:

Year:

1998

Language:

english

File:

PDF, 261 KB

english, 1998

45

Structure of extreme correlated equilibria: a zero-sum example and its implications

Noah D. Stein, Asuman Ozdaglar, Pablo A. Parrilo

Journal:

International Journal of Game Theory

Year:

2011

Language:

english

File:

PDF, 282 KB

english, 2011

46

Computing sum of squares decompositions with rational coefficients

Helfried Peyrl, Pablo A. Parrilo

Journal:

Theoretical Computer Science

Year:

2008

Language:

english

File:

PDF, 739 KB

english, 2008

47

A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs

João Gouveia, Monique Laurent, Pablo A. Parrilo, Rekha Thomas

Journal:

Mathematical Programming

Year:

2012

Language:

english

File:

PDF, 297 KB

english, 2012

48

Efficient classification of complete parameter regions based on semidefinite programming

Lars Kuepfer, Uwe Sauer, Pablo A Parrilo

Journal:

BMC Bioinformatics

Year:

2007

Language:

english

File:

PDF, 402 KB

english, 2007

49

Correlated equilibria in continuous games: Characterization and computation

Noah D. Stein, Pablo A. Parrilo, Asuman Ozdaglar

Journal:

Games and Economic Behavior

Year:

2011

Language:

english

File:

PDF, 350 KB

english, 2011

50

Theta Bodies for Polynomial Ideals

Gouveia, João, Parrilo, Pablo A., Thomas, Rekha R.

Journal:

SIAM Journal on Optimization

Year:

2010

Language:

english

File:

PDF, 389 KB

english, 2010

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