Generalization of Machine Learning for Problem Reduction: A Case Study on Travelling Salesman Problems
Yuan Sun,
Andreas Ernst,
Xiaodong Li
et al.
Abstract:Combinatorial optimization plays an important role in real-world problem solving. In the big data era, the dimensionality of a combinatorial optimization problem is usually very large, which poses a significant challenge to existing solution methods. In this paper, we examine the generalization capability of a machine learning model for problem reduction on the classic traveling salesman problems (TSP). We demonstrate that our method can greedily remove decision variables from an optimization problem that are … Show more
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