论文标题
图梯度流：从离散到连续
Graph gradient flows : from discrete to continuum
论文作者
论文摘要
本文提供了一个框架，以研究图表上梯度流的连续限制，其中顶点数以适当的方式增加。作为示例，我们证明了离散的总变化流量和离散的allen-cahn流的收敛性，这些流量是离散的Tori与它们各自的连续限制的收敛性。
This paper gives a framework to study a continuum limit of a gradient flow on a graph where the number of vertices increases in an appropriate way. As examples we prove the convergence of a discrete total variation flow and a discrete Allen--Cahn flow on discretised tori to their respective continuum limits.
