Hamza Fawzi

IEEE Trans. Inf. Theory, August, 2024

Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, February, 2024

Exploiting Structure in Quantum Relative Entropy Programs.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Optimal Self-Concordant Barriers for Quantum Relative Entropies.

[BibT_eX]

[DOI]

SIAM J. Optim., December, 2023

A subpolynomial-time algorithm for the free energy of one-dimensional quantum systems in the thermodynamic limit.

[BibT_eX]

[DOI]

Omar Fawzi

Samuel O. Scalet

Quantum, May, 2023

Efficient Computation of the Quantum Rate-Distortion Function.

[BibT_eX]

[DOI]

CoRR, 2023

A Mirror Descent Perspective on Classical and Quantum Blahut-Arimoto Algorithms.

[BibT_eX]

[DOI]

CoRR, 2023

Rational approximations of operator monotone and operator convex functions.

[BibT_eX]

[DOI]

CoRR, 2023

A Bregman Divergence View on the Difference-of-Convex Algorithm.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Artificial Intelligence and Statistics, 2023

2022

Lifting for Simplicity: Concise Descriptions of Convex Sets.

[BibT_eX]

[DOI]

SIAM Rev., 2022

Strong Data Processing Inequalities via Sums of Squares.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Symposium on Information Theory, 2022

Local Linear Convergence of Douglas-Rachford for Linear Programming: a Probabilistic Analysis.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2022

2021

Defining quantum divergences via convex optimization.

[BibT_eX]

[DOI]

Omar Fawzi

Quantum, 2021

The sum-of-squares hierarchy on the sphere and applications in quantum information theory.

[BibT_eX]

[DOI]

Kun Fang

Math. Program., 2021

On Polyhedral Approximations of the Positive Semidefinite Cone.

[BibT_eX]

[DOI]

Math. Oper. Res., 2021

Faster proximal algorithms for matrix optimization using Jacobi-based eigenvalue methods.

[BibT_eX]

[DOI]

Harry Goulbourne

Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

2019

On representing the positive semidefinite cone using the second-order cone.

[BibT_eX]

[DOI]

Math. Program., 2019

Semidefinite Approximations of the Matrix Logarithm.

[BibT_eX]

[DOI]

Found. Comput. Math., 2019

Geometric Rényi Divergence and its Applications in Quantum Channel Capacities.

[BibT_eX]

[DOI]

Kun Fang

CoRR, 2019

Learning dynamic polynomial proofs.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 32: Annual Conference on Neural Information Processing Systems 2019, 2019

AnySOS: An anytime algorithm for SOS programming.

[BibT_eX]

[DOI]

Derek Driggs

Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018

A Lower Bound on the Positive Semidefinite Rank of Convex Bodies.

[BibT_eX]

[DOI]

Mohab Safey El Din

SIAM J. Appl. Algebra Geom., 2018

Adversarial vulnerability for any classifier.

[BibT_eX]

[DOI]

Alhussein Fawzi

Omar Fawzi

Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

2017

Equivariant Semidefinite Lifts of Regular Polygons.

[BibT_eX]

[DOI]

Math. Oper. Res., 2017

2016

Power and limitations of convex formulations via linear and semidefinite programming lifts.

[BibT_eX]

[DOI]

PhD thesis, 2016

Rational and real positive semidefinite rank can be different.

[BibT_eX]

[DOI]

João Gouveia

Richard Z. Robinson

Oper. Res. Lett., 2016

Sparse sums of squares on finite abelian groups and improved semidefinite lifts.

[BibT_eX]

[DOI]

Math. Program., 2016

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

[BibT_eX]

[DOI]

Math. Program., 2016

2015

Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies.

[BibT_eX]

[DOI]

SIAM J. Optim., 2015

Lower bounds on nonnegative rank via nonnegative nuclear norms.

[BibT_eX]

[DOI]

Math. Program., 2015

Positive semidefinite rank.

[BibT_eX]

[DOI]

Math. Program., 2015

Sparse sum-of-squares certificates on finite abelian groups.

[BibT_eX]

[DOI]

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014

Secure Estimation and Control for Cyber-Physical Systems Under Adversarial Attacks.

[BibT_eX]

[DOI]

Paulo Tabuada

Suhas N. Diggavi

IEEE Trans. Autom. Control., 2014

2013

Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity.

[BibT_eX]

[DOI]

CoRR, 2013

2012

Security for control systems under sensor and actuator attacks.

[BibT_eX]

[DOI]

Paulo Tabuada

Suhas N. Diggavi

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011

Secure state-estimation for dynamical systems under active adversaries.

[BibT_eX]

[DOI]