Title
Exact Combinatorial Optimization with Graph Convolutional Neural Networks.
Abstract
Combinatorial optimization problems are typically tackled by the branch-and-bound paradigm. We propose a new graph convolutional neural network model for learning branch-and-bound variable selection policies, which leverages the natural variable-constraint bipartite graph representation of mixed-integer linear programs. We train our model via imitation learning from the strong branching expert rule, and demonstrate on a series of hard problems that our approach produces policies that improve upon state-of-the-art machine-learning methods for branching and generalize to instances significantly larger than seen during training. Moreover, we improve for the first time over expert-designed branching rules implemented in a state-of-the-art solver on large problems.
Year
Venue
Keywords
2019
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 32 (NIPS 2019)
art machine
Field
DocType
Volume
Graph,Feature selection,Combinatorial optimization problem,Convolutional neural network,Computer science,Bipartite graph,Theoretical computer science,Combinatorial optimization,Artificial intelligence,Solver,Machine learning,Branching (version control)
Journal
32
ISSN
Citations 
PageRank 
1049-5258
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Maxime Gasse1224.87
Didier Chételat200.34
Nicola Ferroni300.34
Laurent Charlin463729.86
Andrea Lodi52198152.51