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Department of Applied Mathematics and Theoretical Physics

Career

  • 2016-date: University Lecturer, DAMTP, University of Cambridge, UK
  • 2016: PhD at MIT

Research

Convex optimisation and applications

Selected Publications

Please see my publications page

Teaching

Lent 2017: Topics in Convex Optimisation

Publications

Efficient optimization of the quantum relative entropy
H Fawzi, O Fawzi
– Journal of Physics A: Mathematical and Theoretical
(2018)
51,
409601
A Lower Bound on the Positive Semidefinite Rank of Convex Bodies
H Fawzi, MSE Din
– SIAM Journal on Applied Mathematics
(2018)
abs/1705.06996,
126
On representing the positive semidefinite cone using the second-order cone
H Fawzi
– Mathematical Programming
(2018)
175,
109
Adversarial vulnerability for any classifier.
A Fawzi, H Fawzi, O Fawzi
– ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018)
(2018)
2018-December,
1178
Equivariant semidefinite lifts of regular polygons.
H Fawzi, J Saunderson, PA Parrilo
– Mathematics of Operations Research
(2017)
abs/1409.4379,
472
Equivariant Semidefinite Lifts of Regular Polygons.
H Fawzi, J Saunderson, PA Parrilo
– Math. Oper. Res.
(2017)
42,
472
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
H Fawzi, J Saunderson
– Linear Algebra and its Applications
(2017)
513,
240
Sparse sums of squares on finite abelian groups and improved semidefinite lifts.
H Fawzi, J Saunderson, PA Parrilo
– Mathematical Programming
(2016)
160,
149
Rational and real positive semidefinite rank can be different.
H Fawzi, J Gouveia, RZ Robinson
– Operations Research Letters
(2016)
44,
59
Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank.
H Fawzi, PA Parrilo
– Math. Program.
(2015)
158,
417
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384