论文标题
大小和拓扑熵
Magnitude and Topological Entropy of Digraphs
论文作者
论文摘要
大小和（CO）权重是丰富类别中的一般结构，但它们几乎是在律师指标空间的背景下开发的。我们基于拓扑熵提供了适当的映射为最大plus半度性的观察结果，为流程图构建了有意义的幅度概念，并且我们概述了其效用。随后，我们确定了挖掘图中幅度和拓扑熵之间的单独接触点，该接触量产生了地球流量的体积熵的类似物。最后，我们在带有通用挖掘物的下游应用程序中绘制了该构造的功能工程的实用性。
Magnitude and (co)weightings are quite general constructions in enriched categories, yet they have been developed almost exclusively in the context of Lawvere metric spaces. We construct a meaningful notion of magnitude for flow graphs based on the observation that topological entropy provides a suitable map into the max-plus semiring, and we outline its utility. Subsequently, we identify a separate point of contact between magnitude and topological entropy in digraphs that yields an analogue of volume entropy for geodesic flows. Finally, we sketch the utility of this construction for feature engineering in downstream applications with generic digraphs.
