3 papers
math.DS2026
Graphon Limits of Graph Reaction--Diffusion Equations
Edith J. Zhang, James Scott, Qiang Du
A graph reaction--diffusion (RD) equation is a system of differential equations that is defined on the nodes of a graph. Consider a sequence of growing graphs that converges in cut…
math.ST2025
A Particle Algorithm for Mean-Field Variational Inference
Qiang Du, Kaizheng Wang, Edith Zhang +1
Variational inference is a fast and scalable alternative to Markov chain Monte Carlo and has been widely applied to posterior inference tasks in statistics and machine learning. A…
math.FA2025
Ginzburg--Landau Functionals in the Large-Graph Limit
Edith Zhang, James Scott, Qiang Du +1
Ginzburg--Landau (GL) functionals on graphs, which are relaxations of graph-cut functionals on graphs, have yielded a variety of insights in image segmentation and graph clustering…