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Hamza Fawzi
Hamza Fawzi
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Secure estimation and control for cyber-physical systems under adversarial attacks
H Fawzi, P Tabuada, S Diggavi
IEEE Transactions on Automatic control 59 (6), 1454-1467, 2014
10372014
Adversarial vulnerability for any classifier
A Fawzi, H Fawzi, O Fawzi
Advances in neural information processing systems 31, 2018
1962018
Secure state-estimation for dynamical systems under active adversaries
H Fawzi, P Tabuada, S Diggavi
2011 49th annual allerton conference on communication, control, and …, 2011
1422011
Positive semidefinite rank
H Fawzi, J Gouveia, PA Parrilo, RZ Robinson, RR Thomas
Mathematical Programming 153 (1), 133-177, 2015
932015
Security for control systems under sensor and actuator attacks
H Fawzi, P Tabuada, S Diggavi
2012 IEEE 51st IEEE conference on decision and control (CDC), 3412-3417, 2012
702012
Semidefinite approximations of the matrix logarithm
H Fawzi, J Saunderson, PA Parrilo
Foundations of Computational Mathematics 19 (2), 259-296, 2019
592019
Sparse sums of squares on finite abelian groups and improved semidefinite lifts
H Fawzi, J Saunderson, PA Parrilo
Mathematical Programming 160 (1), 149-191, 2016
44*2016
Efficient optimization of the quantum relative entropy
H Fawzi, O Fawzi
Journal of Physics A: Mathematical and Theoretical 51 (15), 154003, 2018
43*2018
Geometric Rényi divergence and its applications in quantum channel capacities
K Fang, H Fawzi
Communications in Mathematical Physics 384 (3), 1615-1677, 2021
332021
The sum-of-squares hierarchy on the sphere and applications in quantum information theory
K Fang, H Fawzi
Mathematical Programming 190 (1), 331-360, 2021
272021
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank
H Fawzi, PA Parrilo
Mathematical Programming 158 (1), 417-465, 2016
272016
Equivariant semidefinite lifts and sum-of-squares hierarchies
H Fawzi, J Saunderson, PA Parrilo
SIAM Journal on Optimization 25 (4), 2212-2243, 2015
262015
On representing the positive semidefinite cone using the second-order cone
H Fawzi
Mathematical Programming 175 (1), 109-118, 2019
242019
Lower bounds on nonnegative rank via nonnegative nuclear norms
H Fawzi, PA Parrilo
Mathematical Programming 153 (1), 41-66, 2015
172015
Computing conditional entropies for quantum correlations
P Brown, H Fawzi, O Fawzi
Nature communications 12 (1), 1-12, 2021
142021
The Set of Separable States has no Finite Semidefinite Representation Except in Dimension 3 × 2
H Fawzi
Communications in Mathematical Physics 386 (3), 1319-1335, 2021
132021
Defining quantum divergences via convex optimization
H Fawzi, O Fawzi
Quantum 5, 387, 2021
122021
Equivariant semidefinite lifts of regular polygons
H Fawzi, J Saunderson, PA Parrilo
Mathematics of Operations Research 42 (2), 472-494, 2017
122017
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
H Fawzi, J Saunderson
Linear Algebra and its Applications 513, 240-263, 2017
122017
Lifting for simplicity: Concise descriptions of convex sets
H Fawzi, J Gouveia, PA Parrilo, J Saunderson, RR Thomas
arXiv preprint arXiv:2002.09788, 2020
102020
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