%0 Journal Article 
%A J. Hinton, Raymond
%A Vidakovic, Brani
%A Ramírez Cobo, Josefa
%T The dual wavelet spectra: an alternative perspective on Hurst exponent estimation with application to mammogram classification
%D 2026
%U http://hdl.handle.net/10498/38829
%X The wavelet spectra is a common starting point for estimating the Hurst exponent
of a self-similar signal using wavelet-based techniques. The decay of the log2 average
energyofthedetailwaveletcoefficientsasafunctionofthelevelofsignaldecomposition
can be used to construct estimators for this parameter. In this paper, we expand
on previous work which introduced the “dual” wavelet spectra, where decomposition
levels are instead treated as a function of energy values, and propose a relationship
between its slope and the Hurst exponent, creating a new estimator. We focus on
the 2D case, making the method suitable for analyzing complex image data. The
effectiveness of this estimator and its sensitivity to several settings are demonstrated
through a simulation study. Finally, we show how the technique performs as a feature
extraction method by applying it to the task of detecting the presence of breast cancer
in mammogram images. Dual spectra wavelet features had a statistically significant
effect on the log-odds of Cancer.
%K Scaling
%K non-decimated wavelet transform
%K 2D fractional Brownian motion
%K image classification
%~ Universidad de Cádiz