210 citations · 593 across the 15 of their papers we have counts for
15 papers
Quantifying Non-Stationarity with Information Theory
Carlos Granero-Belinchon, Stéphane G. Roux, Nicolas B. Garnier
We introduce an index based on information theory to quantify the stationarity of a stochastic process.The index compares on the one hand the information contained in the increment…
Nonsmooth convex optimization to estimate the Covid-19 reproduction number space-time evolution with robustness against low quality data
Barbara Pascal, Patrice Abry, Nelly Pustelnik +3
Daily pandemic surveillance, often achieved through the estimation of the reproduction number, constitutes a critical challenge for national health authorities to design countermea…
Distance to healthy cardiovascular dynamics from fetal heart rate scale-dependent features in pregnant sheep model of human labor predicts cardiovascular decompensation
Stéphane G. Roux, Nicolas B. Garnier, Patrice Abry +2
The overarching goal of the present work is to contribute to the understanding of the relations between fetal heart rate (FHR) temporal dynamics and the well-being of the fetus, no…
Multifractal Fractional Ornstein-Uhlenbeck Processes
Laurent Chevillard, Marc Lagoin, Stephane G. Roux
The Ornstein-Uhlenbeck process can be seen as a paradigm of a finite-variance and statistically stationary rough random walk. Furthermore, it is defined as the unique solution of a…
Information theory for non-stationary processes with stationary increments
Carlos Granero-Belinchon, Stéphane G. Roux, Nicolas Garnier
We describe how to analyze the wide class of non stationary processes with stationary centered increments using Shannon information theory. To do so, we use a practical viewpoint a…
Probing high order dependencies with information theory
C Granero-Belinchón, S. Roux, P. Abry +1
Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present…