This paper introduces mass estimation—a base modelling mechanism in data mining. It provides the theoretical basis of mass and an efficient method to estimate mass. We show that...
Kai Ming Ting, Guang-Tong Zhou, Fei Tony Liu, Jame...
This paper introduces a strategy and its theory proof to transform non-linear concept graph: Directed Acyclic Concept Graph (DACG) into a linear concept tree. The transformation i...
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
We investigate to what extent flooding and routing is possible if the graph is allowed to change unpredictably at each time step. We study what minimal requirements are necessary...
We propose a new functional framework for modeling, querying and reasoning about OLAP databases. The framework represents data (data cubes and dimensional hierarchies) and queryin...