The MBO scheme is a highly performant used for data clustering and other applications in machine learning. We report on the first theoretical studies of large limit. Our results relate (i) final state to minimal surfaces manifold (ii) dynamics steepest descent surfaces, which mean curvature flow. tools employed are variational methods viscosity solution techniques (ii).

Crime detection is one of the major issues in the field of criminology. In fact, criminology includes knowing the details of a crime and its intangible relations with the offender. In spite of the enormous amount of data on offenses and offenders, and the complex and intangible semantic relationships between this information, criminology has become one of the most important areas in the field o...

Nowadays, we have to deal with a large quantity of unstructured data, produced by a number of sources. The application of clustering on the World Wide Web is essential to getting structured information in response to user queries. In this paper, we intend to test the results of a new clustering technique – clustering by compression – when applied to heterogeneous sets of data. The clustering by...