arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2011.02291cs.AIcs.DMcs.NE
收藏

Hamilton完备化问题的演化测试实例

Evolving test instances of the Hamiltonian completion problem

KU Leuven Kulak(鲁汶大学库拉考分校)

Thibault Lechien, Jorik Jooken, Patrick De Causmaecker

摘要:

由于多种原因,预测和比较图实例上的算法性能具有挑战性。首先,通常没有标准的实例集来对性能进行基准测试。其次,使用现有的图形生成器会导致有限的难度范围,并且生成的图形通常不够多样化,无法得出合理的结论。这就是为什么最近的工作提出了一种新的方法,通过使用进化算法来生成一组不同的实例。然后,我们可以分析结果图,并获得关键的见解,哪些属性与算法性能最相关。我们还可以填充实例空间中观察到的空白,以生成具有以前未见过的特征组合的图。这种方法适用于实例空间的哈密顿完成问题,使用两种不同的求解器,即协和TSP求解器和多启动本地搜索算法。

英文摘要:

Predicting and comparing algorithm performance on graph instances is challenging for multiple reasons. First, there is usually no standard set of instances to benchmark performance. Second, using existing graph generators results in a restricted spectrum of difficulty and the resulting graphs are usually not diverse enough to draw sound conclusions. That is why recent work proposes a new methodology to generate a diverse set of instances by using an evolutionary algorithm. We can then analyze the resulting graphs and get key insights into which attributes are most related to algorithm performance. We can also fill observed gaps in the instance space in order to generate graphs with previously unseen combinations of features. This methodology is applied to the instance space of the Hamiltonian completion problem using two different solvers, namely the Concorde TSP Solver and a multi-start local search algorithm.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑