Graph Neural Networks for Maximum Constraint Satisfaction

Graph Neural Networks for Maximum Constraint Satisfaction

Blog Article

Many combinatorial optimization problems locinox verticlose 2 can be phrased in the language of constraint satisfaction problems.We introduce a graph neural network architecture for solving such optimization problems.The architecture is generic; it works for all binary constraint satisfaction problems.Training is unsupervised, and it is sufficient to train on relatively small instances; the resulting networks perform well on much larger instances (at least 10-times larger).

We experimentally evaluate our approach for a variety of problems, including Maximum Cut and Maximum Independent Set.Despite being generic, we show that our approach matches or surpasses most greedy and mursteinsformer semi-definite programming based algorithms and sometimes even outperforms state-of-the-art heuristics for the specific problems.