arXiv Machine Learning
Sep 24

Learning to Approximate Uniform Facility Location via Graph Neural Networks

The paper introduces a fully differentiable message‑passing neural network (MPNN) designed to approximate the Uniform Facility Location (UniFL) problem. Unlike many learning‑based approaches that require supervision or reinforcement learning, this model incorporates principles from classical approximation algorithms, providing provable approximation guarantees. Empirical results show that it outperforms standard approximation algorithms and reduces the performance gap to integer linear programming solutions.

By Chendi Qian, Christopher Morris, Stefanie Jegelka, Christian Sohler