Raphael Louca

Raphael in 2016 

I am a fifth year PhD student in the School of Electrical and Computer Engineering at Cornell University. I am advised by Professor Eilyan Bitar.

Research Interests

My technical interests lie in mathematical optimization and its application to the areas of information and data sciences. In particular, I am interested in developing efficient algorithms for challenging network problems arising in energy and transportation systems and more broadly in signal processing and machine learning. My goal is to gain a deeper understanding on how the structural properties of these networks can be exploited to operate them more efficiently.

Education

  • Cornell University,
    2012-present,
    PhD Electrical Engineering

  • Cornell University,
    2011-2012,
    MEng Electrical Engineering

  • Pennsylvania State University,
    2007-2011,
    BSc Electrical Engineering (High Distinction)
    BSc Mathematics (Distinction)

Fellowships and Scholarships

  • Fulbright Scholarship (Fall 2007 - Spring 2011)

  • Evi Sofianou Foundation Scholarship — Spring 2016

  • Jacobs Fellowship, — Cornell University (Spring 2014-Fall 2015)

  • Edgar Maeyer Fellowship, Cornell University (Fall 2012)

  • H.C. Torng Fellowship – Cornell University (Fall 2012)

  • Coop Oikodomiki Bank Scholarship (Fall 2007 - Spring 2009)

Publications

  • Robust AC Optimal Power Flow
    R. Louca, and E. Bitar.
    In review.
    [pdf]

  • Chordally Sparse Semidefinite Programs
    R. Louca
    Under review.
    [pdf]

  • Stochastic AC Optimal Power Flow with Affine Recourse
    R. Louca, and E. Bitar.
    Proceedings of the 55th IEEE Conference on Decision and Control.
    [pdf] [slides] [bibtex]

  • A Hierarchy of Polyhedral Approximations of Robust Semidefinite Programs
    R. Louca, and E. Bitar.
    Proceedings of the 55th IEEE Conference on Decision and Control.
    [pdf] [slides] [bibtex]

  • A Bound on the Minimum Rank of Solutions to Sparse Linear Matrix Equations
    R. Louca, B. Subhonmesh, and E. Bitar.
    Proceedings of the 2016 American Control Conference (ACC).
    [pdf] [slides] [bibtex]

  • Acyclic Semidefinite Approximations of Quadratically Constrained Quadratic Programs
    R. Louca and E. Bitar.
    Proceedings of the 2015 American Control Conference (ACC).
    [pdf] [slides] [bibtex]

  • Nondegeneracy and Inexactness of Semidefinite Relaxations of Optimal Power Flow
    R. Louca and E. Bitar.
    Technical Report.
    [pdf]

  • A Rank Minimization Algorithm to Enhance Semidefinite Relaxations of Optimal Power Flow
    R. Louca, P. Seiler, and E. Bitar.
    Proceedings of the 51st Allerton Conference on Communication, Control, and Computing, Invited Paper, Illinois, 2013.
    [pdf] [slides] [bibtex] [Case 14A] [Case 14B]

Contact

365 Rhodes Hall
Department of Electrical and Computer Engineering
Cornell University
rl553@cornell.edu and louca@berkeley.edu
http://foie.ece.cornell.edu/~louca