Browsing by Subject "Clarke subdifferential"

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    • Characterization of Filippov representable maps and Clarke subdifferentials 
      Bivas, Mira; Daniilidis, Aris; Quincampoix, Marc (Springer, 2020)
      The ordinary differential equation x˙ (t) = f(x(t)), t ≥ 0, for f measurable, is not sufficiently regular to guarantee existence of solutions. To remedy this we may relax the problem by replacing the function f with its ...
    • Pathological subgradient dynamics 
      Daniilidis, Aris; Drusvyatskiy, Dmitriy (Siam, 2020)
      We construct examples of Lipschitz continuous functions, with pathological subgradient dynamics in both continuous and discrete time. In both settings, the iterates generate bounded trajectories and yet fail to detect any ...
    • Subdifferential characterization of probability functions under Gaussian distribution 
      Hantoute, Abderrahim; Henrion, René; Pérez-Aros, Pedro (Springer Verlag, 2019)
      © 2018, Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society. Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input ...