We consider the cumulative residual entropy (CRE) a recently introduced measure of entropy. While in previous works distributions with positive support are considered, we generalize the definition of CRE to the case of distributions with general support. We show that several interesting properties of the earlier CRE remain valid and supply further properties and insight to problems such as maximum CRE power moment problems. In addition, we show that this generalized CRE can be used as an alternative to differential entropy to derive information-based optimization criteria for system identification purpose.
International audienceIn this paper, an application to seismic images of a recently proposed algorithm of salient features detection is presented. We compute entropy in each pixel location within a neighborhood using two entropy measures: the Shannon entropy and the generalized cumulative residual entropy. The saliency measure is computed for both fixed and variable scale and differences between the two entropies are highlighted. The effect of noise is also studied. Results are beneficial for horizon picking in seismic images
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