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引用次数: 0
摘要
以稳定室友(SR)为重点,我们为开展稳定匹配问题实验的工具箱做出了贡献。我们引入了多项式时间可计算的相互吸引距离来测量 SR 实例的相似性,分析了它的特性,并用它创建了 SR 实例的地图。该地图将 460 个合成 SR 实例(每个实例从十种不同的统计文化中抽取一个)可视化如下:每个实例都是平面上的一个点,如果对应的 SR 实例在相互吸引距离上相似,则地图上的两个点就接近。随后,我们进行了几个说明性实验,并在地图上描绘了实验结果,说明了地图作为非聚合可视化工具的实用性、我们生成的数据集的多样性以及使用从不同统计文化中采样的实例的必要性。最后,我们将我们的方法扩展到了两方稳定婚姻问题。
A Map of Diverse Synthetic Stable Matching Instances
Focusing on Stable Roommates (SR), we contribute to the toolbox for conducting experiments for stable matching problems. We introduce the polynomial-time computable mutual attraction distance to measure the similarity of SR instances, analyze its properties, and use it to create a map of SR instances. This map visualizes 460 synthetic SR instances (each sampled from one of ten different statistical cultures) as follows: Each instance is a point in the plane, and two points are close on the map if the corresponding SR instances are similar with respect to our mutual attraction distance to each other. Subsequently, we conduct several illustrative experiments and depict their results on the map, illustrating the map’s usefulness as a non-aggregate visualization tool, the diversity of our generated dataset, and the need to use instances sampled from different statistical cultures. Lastly, we extend our approach to the bipartite Stable Marriage problem.
期刊介绍:
JAIR(ISSN 1076 - 9757) covers all areas of artificial intelligence (AI), publishing refereed research articles, survey articles, and technical notes. Established in 1993 as one of the first electronic scientific journals, JAIR is indexed by INSPEC, Science Citation Index, and MathSciNet. JAIR reviews papers within approximately three months of submission and publishes accepted articles on the internet immediately upon receiving the final versions. JAIR articles are published for free distribution on the internet by the AI Access Foundation, and for purchase in bound volumes by AAAI Press.