4 papers
An operator-splitting algorithm for the hypergraph -Laplacian with applications to missing data recovery
Kehan Shi, Jin Liu, Martin Burger
Hypergraph -Laplacian regularization is a fundamental model in data analysis with successful applications in various tasks. It aims to minimize a nonsmooth and typically large-s…
Continuum limit of -biharmonic equations on graphs
Kehan Shi, Martin Burger
This paper studies the -biharmonic equation on graphs, which arises in point cloud processing and can be interpreted as a natural extension of the graph -Laplacian from the p…
Hypergraph -Laplacian equations for data interpolation and semi-supervised learning
Kehan Shi, Martin Burger
Hypergraph learning with -Laplacian regularization has attracted a lot of attention due to its flexibility in modeling higher-order relationships in data. This paper focuses on…
Hypergraph -Laplacian regularization on point clouds for data interpolation
Kehan Shi, Martin Burger
As a generalization of graphs, hypergraphs are widely used to model higher-order relations in data. This paper explores the benefit of the hypergraph structure for the interpolatio…