Paulo Gonçalves Inria senior researcher in the project DANTE A joint team of Inria Rhone-Alpes and ENS Lyon (LIP)

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Signal Processing applied to Networks	Dynamic graphs Traffic and Metrology
Time-Frequency Analysis Time-Scale Analysis	PDEs applied to TFRs Empirical Mode Decomposition Pseudo affine Wigner Distributions
Wavelets and Fractals Wavelets History by I. Daubechies	Scaling exponents estimation Singularity spectrum estimation Multifractal processes synthesis	Description: We use wavelet transforms, and more generaly affine distributions to estimate scaling exponents such as: local Holder regularity long range dependence exponent (Hurst parameter) self-similar parameter Time-scale descriptions adequately convey the scaling structures that systematically underly these features. In short, estimation ammounts to identify power-law dynamics in signal energy distributions across scales. In practice, we perform in log-log plots, linear regressions of wavelets coefficients (or transformations of them) against scale. Joint work with: Patrice Abry, Patrick Flandrin
Wavelets and Statistics	Diverging moments test Hidden Markov trees Stable laws regression
Other applications	Heart rate variability Remote sensing