3 citations · 10 across the 12 of their papers we have counts for
10 papers · 1 filter
Best Convex Lower Approximations of the l 0 Pseudonorm on Unit Balls
Thomas Bittar, Jean-Philippe Chancelier, Michel de Lara
Whereas the norm of a vector measures amplitude (and is a 1-homogeneous function), sparsity is measured by the 0-homogeneous l0 pseudonorm, which counts the number of nonzero compo…
Conditional Infimum and Hidden Convexity in Optimization
Jean-Philippe Chancelier, Michel de Lara
Detecting hidden convexity is one of the tools to address nonconvex minimization problems. After giving a formal definition of hidden convexity, we introduce the notion of conditio…
A Fresh Geometrical Look at the General S-Procedure
Michel de Lara, Jean-Baptiste Hiriart-Urruty
We revisit the S-procedure for general functions with "geometrical glasses". We thus delineate a necessary condition, and almost a sufficient condition, to have the S-procedure val…
Constant Along Primal Rays Conjugacies and Generalized Convexity for Functions of the Support
Jean-Philippe Chancelier, Michel de Lara
The support of a vector in R d is the set of indices with nonzero entries. Functions of the support have the property to be 0-homogeneous and, because of that, the Fenchel conjugac…
Kuhn's Equivalence Theorem for Games in Intrinsic Form
Benjamin Heymann, Michel de Lara, Jean-Philippe Chancelier
We state and prove Kuhn's equivalence theorem for a new representation of games, the intrinsic form. First, we introduce games in intrinsic form where information is represented by…
Comparison Theorem for Viability Kernels via Conic Preorders
Michel de Lara, Pedro Gajardo, Diego Vicencio
In natural resource management, decision-makers often aim at maintaining thestate of the system within a desirable set for all times.For instance, fisheries management procedures i…