23 citations · 91 across the 21 of their papers we have counts for
5 papers · 1 filter
Adjacency and Tensor Representation in General Hypergraphs Part 1: e-adjacency Tensor Uniformisation Using Homogeneous Polynomials
Xavier Ouvrard, Jean-Marie Le Goff, Stéphane Marchand-Maillet
Adjacency between two vertices in graphs or hypergraphs is a pairwise relationship. It is redefined in this article as 2-adjacency. In general hypergraphs, hyperedges hold for -…
Learning Predictive Leading Indicators for Forecasting Time Series Systems with Unknown Clusters of Forecast Tasks
Magda Gregorova, Alexandros Kalousis, Stephane Marchand-Maillet
We present a new method for forecasting systems of multiple interrelated time series. The method learns the forecast models together with discovering leading indicators from within…
Networks of Collaborations: Hypergraph Modeling and Visualisation
Xavier Ouvrard, Jean-Marie Le Goff, Stéphane Marchand-Maillet
The acknowledged model for networks of collaborations is the hypergraph model. Nonetheless when it comes to be visualized hypergraphs are transformed into simple graphs. Very often…
Forecasting and Granger Modelling with Non-linear Dynamical Dependencies
Magda Gregorová, Alexandros Kalousis, Stéphane Marchand-Maillet
Traditional linear methods for forecasting multivariate time series are not able to satisfactorily model the non-linear dependencies that may exist in non-Gaussian series. We build…
On Hölder projective divergences
Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet
We describe a framework to build distances by measuring the tightness of inequalities, and introduce the notion of proper statistical divergences and improper pseudo-divergences. W…