Chiara Faccio

The Maximum Clique Problem under Adversarial Uncertainty: a min-max approach

  • Giovanni Spisso
  • Immanuel M. Bomze
  • Francesco Rinaldi
  • Chiara Faccio
    • Categories Nonlinear Optimization, Nonsmooth Optimization, Other Topics Tags , , ,

    We analyze the problem of identifying large cliques in graphs that are affected by adversarial uncertainty. More specifically, we consider a new formulation, namely the adversarial maximum clique problem, which extends the classical maximum-clique problem to graphs with edges strategically perturbed by an adversary. The proposed mathematical model is thus formulated as a two-player zero-sum … Read more

    Fast and Simple Multiclass Data Segmentation: An Eigendecomposition and Projection-Free Approach

  • Chiara Faccio
  • Margherita Porcelli
  • Francesco Rinaldi
  • Martin Stoll
    • Categories Data Science Algorithms, Data Science Applications, Nonlinear Optimization

    Graph-based machine learning has seen an increased interest over the last decade with many connections to other fields of applied mathematics. Learning based on partial differential equations, such as the phase-field Allen-Cahn equation, allows efficient handling of semi-supervised learning approaches on graphs. The numerical solution of the graph Allen-Cahn equation via a convexity splitting or … Read more