论文标题
通过树张量网络状态进行生成建模
Generative Modeling via Tree Tensor Network States
论文作者
论文摘要
在本文中，我们提出了基于树张量 - 网络状态的密度估计框架。所提出的方法包括用Chow-Liu算法确定树拓扑，并获得线性系统通过素描技术定义张量 - 网络组件的线性系统。开发了草图功能的新颖选择，以考虑包含循环的图形模型。提供样品复杂性保证，并通过数值实验进一步证实。
In this paper, we present a density estimation framework based on tree tensor-network states. The proposed method consists of determining the tree topology with Chow-Liu algorithm, and obtaining a linear system of equations that defines the tensor-network components via sketching techniques. Novel choices of sketch functions are developed in order to consider graphical models that contain loops. Sample complexity guarantees are provided and further corroborated by numerical experiments.
