Hamza Fawzi

Home Research group Publications Talks/Slides Code

Talks

• The set of separable states has no finite semidefinite representation except in dimension 3x2, SIAM Applied Algebraic Geometry 2019 (Bern), ICMS 2019 (Edinburgh)
• Polyhedral approximations of the positive semidefinite cone, ICERM Workshop on Real Algebraic Geometry and Optimization 2018 (Providence, RI), ICCOPT 2019 (Berlin), Tilburg 2019
• Semidefinite approximations of the matrix logarithm. Talk given at various places, including Oxford, Manchester, Alan Turing Institute, UC Louvain, Paris, Amsterdam.
• Semidefinite programming lifts and sparse sums-of-squares
  presented at Cornell ORIE Workshop on Data-Driven Decision-Making, October 2015.
• Equivariant semidefinite lifts and sum-of-squares hierarchies
  presented at International Symposium on Mathematical Programming (ISMP) 2015, July 2015, Pittsburgh.
• Sparse sum-of-squares certificates on finite abelian groups
  presented in March 2015 at
  • Caltech Computing and Mathematical Sciences seminar
  • UCLA Electrical Engineering seminar
  • Georgia Tech Mathematics - Algebra Seminar
• Equivariant semidefinite lifts of regular polygons
  presented at the 5th Cargèse Workshop on Combinatorial Optimization, September 2014, Cargèse (France).
• Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank
  presented in May 2014 at
  • SIAM Conference on Optimization 2014 (San Diego, CA)
  • Applied Algebra Days 2 (University of Wisconsin, Madison)
• Lower bounds on nonnegative rank via nonnegative nuclear norms
  presented at
  • Dagstuhl Seminar on "Communication Complexity, Linear Optimization, and lower bounds for the nonnegative rank of matrices" in Wadern, Germany, February 2013.
  • International Conference on Continuous Optimization (ICCOPT) 2013, July 2013, (Lisbon, Portugal)
• Secure state-estimation for dynamical systems under active adversaries
  presented at Allerton Conference on Communication, Control, and Computing, September 2011.