Bayesian estimation for the multifractality parameter

H Wendt, N Dobigeon, JY Tourneret… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
Multifractal analysis has matured into a widely used signal and image processing tool. Due
to the statistical nature of multifractal processes (strongly non-Gaussian and intricate …

A Bayesian approach for the joint estimation of the multifractality parameter and integral scale based on the Whittle approximation

S Combrexelle, H Wendt, P Abry… - … , Speech and Signal …, 2015 - ieeexplore.ieee.org
Multifractal analysis is a powerful tool used in signal processing. Multifractal models are
essentially characterized by two parameters, the multifractality parameter c 2 and the …

Impact of data quantization on empirical multifractal analysis

H Wendt, SG Roux, P Abry - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
Multifractal analysis is nowadays commonly used in real-life data analyses and involved in
standard signal processing tasks such as detection, identification or classification. In a …

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 …

A generalized multifractal formalism for the estimation of nonconcave multifractal spectra

R Leonarduzzi, P Abry, H Wendt… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
Multifractal analysis has become a powerful signal processing tool that characterizes signals
or images via the fluctuations of their pointwise regularity, quantified theoretically by the so …

A Bayesian framework for the multifractal analysis of images using data augmentation and a Whittle approximation

S Combrexelle, H Wendt, Y Altmann… - … , Speech and Signal …, 2016 - ieeexplore.ieee.org
Texture analysis is an image processing task that can be conducted using the mathematical
framework of multifractal analysis to study the regularity fluctuations of image intensity and …

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 …

Assessing cross-dependencies using bivariate multifractal analysis

H Wendt, R Leonarduzzi, P Abry, S Roux… - … , Speech and Signal …, 2018 - ieeexplore.ieee.org
Multifractal analysis, notably with its recent wavelet-leader based formulation, has nowadays
become a reference tool to characterize scale-free temporal dynamics in time series. It …

Bootstrap for multifractal analysis

H Wendt, P Abry - … Conference on Acoustics Speech and Signal …, 2006 - ieeexplore.ieee.org
Multifractal analysis, which mainly consists in estimating scaling exponents, has become a
popular tool for empirical data analysis. Although widely used in different applications, the …

Wavelet leader based multifractal analysis

B Lashermes, S Jaffard, P Abry - Proceedings.(ICASSP'05) …, 2005 - ieeexplore.ieee.org
We introduce a new multifractal formalism based on wavelet leaders and study its
properties. Comparing it against previously formulated wavelet coefficient based multifractal …