52 citations · 96 across the 7 of their papers we have counts for
7 papers
Predictive Modeling in the Reservoir Kernel Motif Space
Peter Tino, Robert Simon Fong, Roberto Fabio Leonarduzzi
This work proposes a time series prediction method based on the kernel view of linear reservoirs. In particular, the time series motifs of the reservoir kernel are used as represen…
Scale Dependencies and Self-Similar Models with Wavelet Scattering Spectra
Rudy Morel, Gaspar Rochette, Roberto Leonarduzzi +2
We introduce the wavelet scattering spectra which provide non-Gaussian models of time-series having stationary increments. A complex wavelet transform computes signal variations at…
Kymatio: Scattering Transforms in Python
Mathieu Andreux, Tomás Angles, Georgios Exarchakis +15
The wavelet scattering transform is an invariant signal representation suitable for many signal processing and machine learning applications. We present the Kymatio software packag…
A Generalized Multifractal Formalism for the Estimation of Nonconcave Multifractal Spectra
Roberto Leonarduzzi, Patrice Abry, Herwig Wendt +2
Multifractal analysis has become a powerful signal processing tool that characterizes signals or images via the fluctuations of their pointwise regularity, quantified theoretically…
Finite resolution effects in p-leader multifractal analysis
Roberto Leonarduzzi, Herwig Wendt, Patrice Abry +2
Multifractal analysis has become a standard signal processing tool,for which a promising new formulation, the p-leader multifractal formalism, has recently been proposed. It relies…
p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis
Roberto Leonarduzzi, Herwig Wendt, Patrice Abry +4
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their local regularity along time or space, which capture crucial features of their tempo…
Multifractal analysis based on p-exponents and lacunarity exponents
Patrice Abry, Stéphane Jaffard, Roberto Leonarduzzi +2
Many examples of signals and images cannot be modeled by locally bounded functions, so that the standard multifractal analysis, based on the Hölder exponent, is not feasible. We pr…