Secure state-estimation for dynamical systems under active adversaries. - Hamza Fawzi; Paulo Tabuada; Suhas N. Diggavi (Allerton, 2011)

Security for control systems under sensor and actuator attacks. - Hamza Fawzi; Paulo Tabuada; Suhas N. Diggavi (CDC, 2012)

Exponential lower bounds on fixed-size psd rank and semidefinite extension complexity. - Hamza Fawzi; Pablo A. Parrilo (CoRR, 2013)

Secure Estimation and Control for Cyber-Physical Systems Under Adversarial Attacks. - Hamza Fawzi; Paulo Tabuada; Suhas N. Diggavi (IEEE Trans. Autom. Control., 2014)

Sparse sum-of-squares certificates on finite abelian groups. - Hamza Fawzi; James Saunderson; Pablo A. Parrilo (CDC, 2015)

Positive semidefinite rank. - Hamza Fawzi; João Gouveia; Pablo A. Parrilo; Richard Z. Robinson; Rekha R. Thomas (Math. Program., 2015)

Lower bounds on nonnegative rank via nonnegative nuclear norms. - Hamza Fawzi; Pablo A. Parrilo (Math. Program., 2015)

Equivariant Semidefinite Lifts and Sum-of-Squares Hierarchies. - Hamza Fawzi; James Saunderson; Pablo A. Parrilo (SIAM J. Optim., 2015)

Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank. - Hamza Fawzi; Pablo A. Parrilo (Math. Program., 2016)

Sparse sums of squares on finite abelian groups and improved semidefinite lifts. - Hamza Fawzi; James Saunderson; Pablo A. Parrilo (Math. Program., 2016)

Rational and real positive semidefinite rank can be different. - Hamza Fawzi; João Gouveia; Richard Z. Robinson (Oper. Res. Lett., 2016)

Power and limitations of convex formulations via linear and semidefinite programming lifts. - Hamza Fawzi (2016)

Equivariant Semidefinite Lifts of Regular Polygons. - Hamza Fawzi; James Saunderson; Pablo A. Parrilo (Math. Oper. Res., 2017)

Adversarial vulnerability for any classifier. - Alhussein Fawzi; Hamza Fawzi; Omar Fawzi (NeurIPS, 2018)

A Lower Bound on the Positive Semidefinite Rank of Convex Bodies. - Hamza Fawzi; Mohab Safey El Din (SIAM J. Appl. Algebra Geom., 2018)

AnySOS: An anytime algorithm for SOS programming. - Derek Driggs; Hamza Fawzi (CDC, 2019)

Learning dynamic polynomial proofs. - Alhussein Fawzi; Mateusz Malinowski; Hamza Fawzi; Omar Fawzi (NeurIPS, 2019)

Geometric Rényi Divergence and its Applications in Quantum Channel Capacities. - Kun Fang 001; Hamza Fawzi (CoRR, 2019)

Semidefinite Approximations of the Matrix Logarithm. - Hamza Fawzi; James Saunderson; Pablo A. Parrilo (Found. Comput. Math., 2019)

On representing the positive semidefinite cone using the second-order cone. - Hamza Fawzi (Math. Program., 2019)

Faster proximal algorithms for matrix optimization using Jacobi-based eigenvalue methods. - Hamza Fawzi; Harry Goulbourne (NeurIPS, 2021)

On Polyhedral Approximations of the Positive Semidefinite Cone. - Hamza Fawzi (Math. Oper. Res., 2021)

The sum-of-squares hierarchy on the sphere and applications in quantum information theory. - Kun Fang 001; Hamza Fawzi (Math. Program., 2021)

Defining quantum divergences via convex optimization. - Hamza Fawzi; Omar Fawzi (Quantum, 2021)

Local Linear Convergence of Douglas-Rachford for Linear Programming: a Probabilistic Analysis. - Oisin Faust; Hamza Fawzi (ICML, 2022)

Strong Data Processing Inequalities via Sums of Squares. - Oisin Faust; Hamza Fawzi (ISIT, 2022)

Lifting for Simplicity: Concise Descriptions of Convex Sets. - Hamza Fawzi; João Gouveia; Pablo A. Parrilo; James Saunderson; Rekha R. Thomas (SIAM Rev., 2022)

A Bregman Divergence View on the Difference-of-Convex Algorithm. - Oisin Faust; Hamza Fawzi; James Saunderson (AISTATS, 2023)

Rational approximations of operator monotone and operator convex functions. - Oisin Faust; Hamza Fawzi (CoRR, 2023)

A Mirror Descent Perspective on Classical and Quantum Blahut-Arimoto Algorithms. - Kerry He; James Saunderson; Hamza Fawzi (CoRR, 2023)

A subpolynomial-time algorithm for the free energy of one-dimensional quantum systems in the thermodynamic limit. - Hamza Fawzi; Omar Fawzi; Samuel O. Scalet (Quantum, 2023)

Optimal Self-Concordant Barriers for Quantum Relative Entropies. - Hamza Fawzi; James Saunderson (SIAM J. Optim., 2023)

Exploiting Structure in Quantum Relative Entropy Programs. - Kerry He; James Saunderson; Hamza Fawzi (CoRR, 2024)

Generalized quantum asymptotic equipartition. - Kun Fang 001; Hamza Fawzi; Omar Fawzi (CoRR, 2024)

Device-independent lower bounds on the conditional von Neumann entropy. - Peter J. Brown; Hamza Fawzi; Omar Fawzi (Quantum, 2024)

Efficient Computation of the Quantum Rate-Distortion Function. - Kerry He; James Saunderson; Hamza Fawzi (Quantum, 2024)

Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains. - Oisin Faust; Hamza Fawzi (IEEE Trans. Inf. Theory, 2024)

A Bregman Proximal Perspective on Classical and Quantum Blahut-Arimoto Algorithms. - Kerry He; James Saunderson; Hamza Fawzi (IEEE Trans. Inf. Theory, 2024)

Adversarial quantum channel discrimination. - Kun Fang 001; Hamza Fawzi; Omar Fawzi (CoRR, 2025)

Convergence of linear programming hierarchies for Gibbs states of spin systems. - Hamza Fawzi; Omar Fawzi (CoRR, 2025)