3 papers
math.ST2021
Estimation and Quantization of Expected Persistence Diagrams
Vincent Divol, Théo Lacombe
Persistence diagrams (PDs) are the most common descriptors used to encode the topology of structured data appearing in challenging learning tasks; think e.g. of graphs, time series…
math.PR2018
On the choice of weight functions for linear representations of persistence diagrams
Vincent Divol, Wolfgang Polonik
Persistence diagrams are efficient descriptors of the topology of a point cloud. As they do not naturally belong to a Hilbert space, standard statistical methods cannot be directly…
cs.CG2018
The density of expected persistence diagrams and its kernel based estimation
Frédéric Chazal, Vincent Divol
Persistence diagrams play a fundamental role in Topological Data Analysis where they are used as topological descriptors of filtrations built on top of data. They consist in discre…