Methodology for inferring directed graphs representing generative processes

在遗传学中，我们观察代表种群隐藏历史的DNA数据。这段历史包括古代人口的分裂和合并。在数学中，我们可以将人口变化建模为生成过程，从而生成有向图。我们的项目是使用DNA数据（SNP数据，血统身份等）。以统计贝叶斯的方式推断真实的历史，这涉及到数学生物学和数学科学。

In genetics, we observe DNA data which represents the hidden history of populations. This history includes splits and merges of ancient populations. In mathematics, we can model the demographic changes as a generative process and therefore generate a directed graph. Our project is to use the DNA data (SNP data, Identity by descent, etc.) to infer the true history in a statistical Bayesian manner, which relates to both mathematical biology and mathematical sciences.