papers

Publications (6)

cs.DM2024

Pricing Filtering in Dantzig-Wolfe Decomposition

Abdellah Bulaich Mehamdi, Mathieu Lacroix, Sébastien Martin

Column generation is used alongside Dantzig-Wolfe Decomposition, especially for linear programs having a decomposable pricing step requiring to solve numerous independent pricing s…

cs.LG2025

Bregman Conditional Random Fields: Sequence Labeling with Parallelizable Inference Algorithms

Caio Corro, Mathieu Lacroix, Joseph Le Roux

We propose a novel discriminative model for sequence labeling called Bregman conditional random fields (BCRF). Contrary to standard linear-chain conditional random fields, BCRF all…

math.CO2024

Contractions in perfect graph

Alexandre Dupont-Bouillard, Pierre Fouilhoux, Roland Grappe +1

In this paper, we characterize the class of {\em contraction perfect} graphs which are the graphs that remain perfect after the contraction of any edge set. We prove that a graph i…

cs.DM2025

Extended formulations for the maximum weighted co-2-plex problem

Alexandre Dupont-Bouillard, Pierre Fouilhoux, Roland Grappe +1

Given an input graph and weights on its vertices, the maximum co-2-plex problem is to find a subset of vertices maximizing the sum of their weights and inducing a graph of degree a…

math.OC2025

Bundle Network: a Machine Learning-Based Bundle Method

Francesca Demelas, Joseph Le Roux, Antonio Frangioni +3

This paper presents Bundle Network, a learning-based algorithm inspired by the Bundle Method for convex non-smooth minimization problems. Unlike classical approaches that rely on h…

cs.LG2024

Predicting Accurate Lagrangian Multipliers for Mixed Integer Linear Programs

Francesco Demelas, Joseph Le Roux, Mathieu Lacroix +1

Lagrangian relaxation stands among the most efficient approaches for solving a Mixed Integer Linear Programs (MILP) with difficult constraints. Given any duals for these constraint…