Cédric Josz

I am pursuing a postdoc under the supervision of Somayeh Sojoudi and Javad Lavaei at the University of California, Berkeley, in the department of Electrical Engineering and Computer Sciences. For more info, see my CV.

email: cedric.josz at berkeley.edu; address: Etcheverry Hall, 2521 Hearst Ave, Berkeley, CA 94709.

PhD Thesis: Application of Polynomial Optimization to Electricity Transmission Networks, defended on July 13th 2016 (slides).

Tutorial session: Convexification Techniques and Hierarchies, American Control Conference, June 2018.

Video: Application of Complex Polynomial Optimization for Optimal Power Flow, Banff International Research Station, March 2017.

Preprints and Publications: Google Scholar arXiv

C. Josz, Y. Ouyang, R. Y. Zhang, J. Lavaei, S. Sojoudi, A theory on the absence of spurious optimality, May 2018.

R. Y. Zhang, C. Josz, S. Sojoudi, J. Lavaei, How much restricted isometry is needed in nonconvex matrix recovery?, May 2018.

R. Y. Zhang, C. Josz, S. Sojoudi, Conic Optimization Theory: Convexification Techniques and Numerical Algorithms, American Control Conference 2018, Milwaukee, June 2018.

C. Josz, D. K. Molzahn, Lasserre hierarchy for large scale polynomial optimization in real and complex variables, SIAM Journal on Optimization, January 2018 (preprint).

C. Josz, J. B. Lasserre, B. Mourrain, Sparse Polynomial Interpolation: Compressed Sensing, Super Resolution, or Prony?, August 2017.

C. Josz, Counterexample to Global Convergence of DSOS and SDSOS Hierarchies, July 2017.

C. Josz, On the Relationship Between Real and Complex Linear Systems, May 2017.

C. Josz, Algorithm for Optimization and Interpolation based on Hyponormality, March 2017.

J. C. Gilbert, C. Josz, Plea for a Semidefinite Optimization Solver in Complex Numbers, March 2017.

D. K. Molzahn, C. Josz, I. A. Hiskens, Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull, Institute of Electrical and Electronics Engineers, Global Conference on Signal and Information Processing, Washington D.C., December 2016 (preprint).

C. Josz, S. Fliscounakis, J. Maeght, and P. Panciatici, AC Power Flow Data in MATPOWER and QCQP Format: iTesla, RTE Snapshots, and PEGASE, arXiv, March 2016.

D. K. Molzahn, C. Josz, I. A. Hiskens, P. Panciatici, Computational Analysis of Sparsity Exploiting Moment Relaxations of the OPF Problem, 19th Power Systems Computation Conference, Genoa, June 2016 (preprint).

D. K. Molzahn, C. Josz, I. A. Hiskens, P. Panciatici, A Laplacian-Based Approach for Finding Near Globally Optimal Solutions to OPF Problems, Institute of Electrical and Electronics Engineers, Transactions on Power Systems, April 2016 (preprint).

D. K. Molzahn, C. Josz, I. A. Hiskens, P. Panciatici, Solution of Optimal Power Flow Problems Using Moment Relaxations Augmented with Objective Function Penalization, 54th Conference on Decision and Control, Osaka, December 2015 (preprint).

C. Josz, D. Henrion, Strong Duality in Lasserre's Hierarchy for Polynomial Optimization, Springer, Optimization Letters, February 2015, (preprint).

C. Josz, J. Maeght, P. Panciatici, and J. C. Gilbert, Application of the Moment-SOS Approach to Global Optimization of the OPF Problem, Institute of Electrical and Electronics Engineers, Transactions on Power Systems, May 2014, (preprint).

Related work

C. Josz, S. Fliscounakis, J. Maeght, and P. Panciatici, Power Flow Data for European High-Voltage Transmission Network: 89, 1354, 2869, and 9241-bus PEGASE Systems, MATPOWER 5.1, March 2015.

C. Josz, Analysis of the paper "Zero Duality Gap in Optimal Power Flow Problem" by J. Lavaei and S. Low, internship report, RTE, 2012.

C. Josz, Approximation of Power Generation for Medium-Term Hydro Dispatch Scheduling, internship report, Ecole Polytechnique Montréal, supervision by Michel Gendreau, 2011.

Teaching (143 hours)

Introduction to polynomial optimization

Numerical optimization: theory and algorithms

Nonsmooth convex optimization

Hilbert spaces

SCILAB programming

Education