Bivariate multifractal analysis for non-homogenous point processes, with application to geospatial data

J Lengyel, S Roux, P Thiraux, P Abry… - 2023 31st European …, 2023 - ieeexplore.ieee.org
Multifractal analysis has become an important procedure for estimating local regularities in
experimental data. However, while univariate multifractal analysis is well-established, how …

Local multifractal analysis of marked spatial point processes

SG Roux, J Lengyel, P Abry, F Sémécurbe… - … de Traitement du Signal …, 2022 - hal.science
In this paper, we develop a methodology for the local estimation of multifractal properties in
random 2D fields. The main novelty of our approach lies in introducing a local average of …

Multifractal formalisms for multivariate analysis

S Jaffard, S Seuret, H Wendt… - Proceedings of the …, 2019 - royalsocietypublishing.org
Multifractal analysis, that quantifies the fluctuations of regularities in time series or textures,
has become a standard signal/image processing tool. It has been successfully used in a …

A Robust Model and its EM Algorithm for the Estimation of the Multifractality Parameter

L Leon, H Wendt, JY Tourneret… - 2023 31st European …, 2023 - ieeexplore.ieee.org
Multifractal analysis is a powerful modeling and estimation framework for the
characterization of data dynamics via the fluctuations of its pointwise regularity in time or …

A Bayesian framework for multivariate multifractal analysis

L Leon, H Wendt, JY Tourneret… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Multifractal analysis has become a reference tool for signal and image processing.
Grounded in the quantification of local regularity fluctuations, it has proven useful in an …

Multifractal characterization for bivariate data

R Leonarduzzi, P Abry, S Roux, H Wendt… - 2018 26th European …, 2018 - ieeexplore.ieee.org
Multifractal analysis is a reference tool for the analysis of data based on local regularity,
which has been proven useful in an increasing number of applications. However, in its …

A comparison of Bayesian estimators for the parameters of the bivariate multifractal spectrum

L Leon, H Wendt, JY Tourneret… - 2022 30th European …, 2022 - ieeexplore.ieee.org
Multifractal analysis provides the theoretical and practical tools for describing the
fluctuations of pointwise regularity in data and has led to many successful applications in …

Extending multifractal analysis to negative regularity: p-exponents and p-leaders

R Leonarduzzi, H Wendt, S Jaffard… - … , Speech and Signal …, 2014 - ieeexplore.ieee.org
Scale invariance is a widely used concept to analyze real-world data from many different
applications and multifractal analysis has become the standard corresponding signal …

Multidimensional models for methodological validation in multifractal analysis

R Lopes, I Bhouri, S Maouche, P Dubois… - … modelling of natural …, 2008 - cambridge.org
Multidimensional Models for Methodological Validation in Multifractal Analysis 1. Introduction
Page 1 Math. Model. Nat. Phenom. Vol. 3, No. 6, 2008, pp. 33-47 Multidimensional Models for …

Bayesian estimation for the local assessment of the multifractality parameter of multivariate time series

S Combrexelle, H Wendt, Y Altmann… - 2016 24th European …, 2016 - ieeexplore.ieee.org
Multifractal analysis (MF) is a widely used signal processing tool that enables the study of
scale invariance models. Classical MF assumes homogeneous MF properties, which cannot …