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 and Binary Programming (BP) problems%2C laying the groundwork for GNNs to approximate solutions for these computationally challenging problems. By analyzing the sensitivity of BP problems%2C we are able to frame the solution of BP problems as a heterophilic node classification task. We then propose Binary-Programming GNN (BPGNN)%2C an architecture that integrates graph representation learning techniques with BP-aware features to approximate BP solutions efficiently. Additionally%2C we introduce a self-supervised data generation mechanism%2C to enable efficient and tractable training data acquisition even for large-scale BP problems. Experimental evaluations of BPGNN across diverse BP problem sizes showcase its superior performance compared to exhaustive search and heuristic approaches. Finally%2C we discuss open challenges in the under-explored field of BP problems with GNNs.?quality=80&w=800)
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