Bayesian estimation for the multifractality parameter
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 …
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
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 …
essentially characterized by two parameters, the multifractality parameter c 2 and the …
Impact of data quantization on empirical multifractal analysis
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 …
standard signal processing tasks such as detection, identification or classification. In a …
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 …
A generalized multifractal formalism for the estimation of nonconcave multifractal spectra
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 …
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
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 …
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
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 …
Assessing cross-dependencies using bivariate multifractal analysis
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 …
become a reference tool to characterize scale-free temporal dynamics in time series. It …
Bootstrap for multifractal analysis
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 …
popular tool for empirical data analysis. Although widely used in different applications, the …
Wavelet leader based multifractal analysis
We introduce a new multifractal formalism based on wavelet leaders and study its
properties. Comparing it against previously formulated wavelet coefficient based multifractal …
properties. Comparing it against previously formulated wavelet coefficient based multifractal …