Bivariate multifractal analysis for non-homogenous point processes, with application to geospatial data
Multifractal analysis has become an important procedure for estimating local regularities in
experimental data. However, while univariate multifractal analysis is well-established, how …
experimental data. However, while univariate multifractal analysis is well-established, how …
Local multifractal analysis of marked spatial point processes
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 …
random 2D fields. The main novelty of our approach lies in introducing a local average of …
Multifractal formalisms for multivariate analysis
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 …
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
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 …
characterization of data dynamics via the fluctuations of its pointwise regularity in time or …
A Bayesian framework for multivariate multifractal analysis
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 …
Grounded in the quantification of local regularity fluctuations, it has proven useful in an …
Multifractal characterization for bivariate data
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 …
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
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 …
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
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 …
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 …
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
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 …
scale invariance models. Classical MF assumes homogeneous MF properties, which cannot …