Numerical optimization of generative network parameters

  • Authors:
  • Joshua A. Taylor;Franz S. Hover

  • Affiliations:
  • Massachusetts Institute of Technology;Massachusetts Institute of Technology

  • Venue:
  • Proceedings of the 2010 Conference on Grand Challenges in Modeling & Simulation
  • Year:
  • 2010

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Abstract

We address the design of complex, large-scale systems by viewing them as random networks, and optimizing network structure over generative parameters. We do not seek specific topologies, but rather classes of optimal or near optimal networks which correspond to desirable statistical behavior, while also allowing flexibility to accommodate unmodeled constraints. This approach is a computationally feasible forward design path for large-scale systems. A numerical example is given in which a network's degree distribution is optimized for combined efficiency and robustness in a cascading failure scenario; the work has application to electric distribution and other systems.