@article{combininggraphneuralnetworksandmixed, title = {Combining Graph Neural Networks and Mixed Integer Linear Programming for Molecular Inference under the Two-Layered Model}, author = {Jianshen Zhu and Naveed Ahmed Azam and Kazuya Haraguchi and Liang Zhao and Tatsuya Akutsu}, year = {2025}, eprint = {2507.03920}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2507.03920v1}, }