18 citations · 18 across the 1 of their papers we have counts for
3 papers
math.NA2020★ 18 cited
Classification and image processing with a semi-discrete scheme for fidelity forced Allen--Cahn on graphs
Jeremy Budd, Yves van Gennip, Jonas Latz
This paper introduces a semi-discrete implicit Euler (SDIE) scheme for the Allen-Cahn equation (ACE) with fidelity forcing on graphs. Bertozzi and Flenner (2012) pioneered the use…
math.AP2020
Mass-conserving diffusion-based dynamics on graphs
Jeremy Budd, Yves van Gennip
An emerging technique in image segmentation, semi-supervised learning, and general classification problems concerns the use of phase-separating flows defined on finite graphs. This…
math.AP2019
Graph MBO as a semi-discrete implicit Euler scheme for graph Allen-Cahn flow
Jeremy Budd, Yves van Gennip
In recent years there has been an emerging interest in PDE-like flows defined on finite graphs, with applications in clustering and image segmentation. In particular for image segm…