论文标题
可区分和可运输的结构学习
Differentiable and Transportable Structure Learning
论文作者
论文摘要
定向无环图(DAG)编码有关其结构中特定分布的许多信息。但是,推断这些结构所需的计算通常在变量数量中是超指定性的,因为推理需要对组合较大的潜在结构进行扫描。也就是说,直到最近的进步使使用可区分的指标搜索该空间成为可能会大大减少搜索时间。尽管该技术(名为Notears)被广泛认为是dag-disclevery中的开创性作品,但它承认了一个重要的特性,有利于可怜性:可运输性。要运输,一个数据集中发现的结构必须从同一域应用于另一个数据集。我们介绍了D型结构,该结构通过新颖的结构和损失功能在发现的结构中恢复了可运输性,同时保持完全可区分。由于D型结构仍然可区分,因此我们的方法可以在现有的可区分体系结构中轻松采用,就像以前使用宣传所做的那样。在我们的实验中,我们在各种设置中就边缘准确性和结构锤距离验证了D结构。
Directed acyclic graphs (DAGs) encode a lot of information about a particular distribution in their structure. However, compute required to infer these structures is typically super-exponential in the number of variables, as inference requires a sweep of a combinatorially large space of potential structures. That is, until recent advances made it possible to search this space using a differentiable metric, drastically reducing search time. While this technique -- named NOTEARS -- is widely considered a seminal work in DAG-discovery, it concedes an important property in favour of differentiability: transportability. To be transportable, the structures discovered on one dataset must apply to another dataset from the same domain. We introduce D-Struct which recovers transportability in the discovered structures through a novel architecture and loss function while remaining fully differentiable. Because D-Struct remains differentiable, our method can be easily adopted in existing differentiable architectures, as was previously done with NOTEARS. In our experiments, we empirically validate D-Struct with respect to edge accuracy and structural Hamming distance in a variety of settings.