Mardi 12 Novembre


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Mardi 12 Novembre
Heure: 12:30 - 13:30
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Disjunctive conic cuts for mixed integer convex optimization
Description: Pietro Belotti We study the convex hull of the intersection of a convex set E and a linear disjunction, which is at the core of solution techniques for Mixed Integer Conic Optimization. We prove that if there exists a cone K that has the same intersection with the boundary of the disjunction as E, then the convex hull is the intersection of E with K. The existence of such a cone is difficult to prove for general conic optimization. However, for the special case of Mixed Integer Second Order Cone Optimization (MISOCO), such a cone can be efficiently generated. This cone provides a conic cut for MISOCO that can be used effectively in branch-and-cut algorithms for MISOCO problems. We show some preliminary computational results that substantiate our claims. (Joint work with Julio C. Goez, Imre Polik, Ted K. Ralphs, Tamas Terlaky)
Heure: 14:00 - 17:00
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Distances in random planar maps and discrete integrability
Description: Jérémie Bouttier