Data analysis: The maximum entropy method

Maximum Entropy Data Analysis

Maximum power entropy method for ecological data analysis

In ecology predictive models of the geographical distribution of certain species are widely used to capture the spatial diversity. Recently a method of Maxent based on Gibbs distribution is frequently employed to have reasonable accuracy of a target distribution of species at a site using environmental features such as temperature, precipitation, elevation and so on. It requires only presence d...

Spectral moment matching in the maximum entropy spectral analysis method

The formula for the spectral moments is expanded in a series consisting of autocorrelation terms. By using the autocorrelation extrapolation inherent in the maximum entropy method (MEM) for spectral analysis, it is found that good estimates of the moments can be found from a very low order autoregressive model. The motivation for this investigation came from results obtained during spectral ana...

Application of the maximum entropy method in texture analysis

The problem of estimating the crystallite orientation distribution function (codf) based on the leading texture coefficients is considered. Problems of such a type are called moment problems, which are well known in statistical mechanics and other areas of science. It is shown how the maximum entropy method can be applied to estimate the codf. Special emphasis is given to a coordinate-free form...

Space - Time Cross Spectral Analysis Using the Maximum Entropy Method

Space-time cross spectra are experimentally estimated from given sinusoidal waves by use of the multivariate maximum entropy method. This method gives not only power spectra but also cospectra, phase difference and coherence with fine frequency resolutions from short time records. As an example of its application, a space-time spectral analysis is made of external Rossby waves simulated by a GF...