Continuum Limit of Total Variation on Point Clouds

Threshold Dynamics for Networks with Arbitrary Surface Tensions

(2014) Selim Esedoḡ Lu et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

An MBO Scheme on Graphs for Classification and Image Processing

(2013) Ekaterina Merkurjev et al.   SIAM Journal on Imaging Sciences

The Normalized Graph Cut and Cheeger Constant: From Discrete to Continuous

(2012) Ery Arias-Castro et al.   ADVANCES IN APPLIED PROBABILITY

Γ -convergence for nonlocal phase transitions

(2012) Ovidiu Savin et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Diffuse Interface Models on Graphs for Classification of High Dimensional Data

(2012) Andrea L. Bertozzi et al.   MULTISCALE MODELING & SIMULATION

A Quantitative Description of Mesh Dependence for the Discretization of Singularly Perturbed Nonconvex Problems

(2012) Andrea Braides et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

How the result of graph clustering methods depends on the construction of the graph

(2012) Markus Maier et al.   ESAIM-Probability and Statistics

Finsler structure in the p-Wasserstein space and gradient flows

(2011) Martial Agueh   COMPTES RENDUS MATHEMATIQUE

Continuous limits of discrete perimeters

(2009) Antonin Chambolle et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Expander flows, geometric embeddings and graph partitioning

(2009) Sanjeev Arora et al.   JOURNAL OF THE ACM

Consistency of spectral clustering

(2008) Ulrike von Luxburg et al.   ANNALS OF STATISTICS

Towards a theoretical foundation for Laplacian-based manifold methods

(2007) Mikhail Belkin et al.   JOURNAL OF COMPUTER AND SYSTEM SCIENCES