Browsing by Author "Daniilidis, Aris"

Now showing items 1-5 of 5

    • Asymmetric free spaces and canonical asymmetrizations 
      Daniilidis, Aris; Sepulcre, Juan Matías; Venegas M., Francisco (Polish Acad Sciences Inst Mathematics-IMPAN, 2021)
      A construction analogous to that of Godefroy-Kalton for metric spaces allows one to embed isometrically, in a canonical way, every quasi-metric space (X, d) in an asymmetric normed space F-a (X, d) (its quasi-metric free ...
    • Cut-Generating Functions and S-Free Sets 
      Conforti, Michele; Cornuéjols, Gérard; Daniilidis, Aris; Lemaréchal, Claude; Malick, Jerome (Informs, 2015)
      We consider the separation problem for sets X that are pre-images of a given set S by a linear mapping. Classical examples occur in integer programming, as well as in other optimization problems such as complementarity. ...
    • Orbits of Geometric Descent 
      Daniilidis, Aris; Drusvyatskiy, D.; Lewis, A. S. (Canadian Mathematical Society, 2015)
      We prove that quasiconvex functions always admit descent trajec- tories bypassing all non-minimizing critical points.
    • Rectifiability of Self-Contracted Curves in the Euclidean Space and Applications 
      Daniilidis, Aris; David, G.; Durand Cartagena, E.; Lemenant, A. (Springer, 2015)
      It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis et al. (J. Math. Pures Appl. 94:183–199, 2010) concerning ...
    • Stability in Linear Optimization Under Perturbations of the Left-Hand Side Coefficients 
      Daniilidis, Aris; Goberna, M. A.; López, M. A.; Lucchetti, R. (Springer, 2015)
      This paper studies stability properties of linear optimization problems with finitely many variables and an arbitrary number of constraints, when only left hand side coefficients can be perturbed. The coefficients of the ...