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Cumulative residual entropy: a new measure of information
TLDR
An alternative measure of uncertainty that extends Shannon entropy to random variables with continuous distributions called cumulative residual entropy (CRE), which is more general than the Shannon entropy in that its definition is valid in the continuous and discrete domains.
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Variable Exponent, Linear Growth Functionals in Image Restoration
TLDR
A functional with variable exponent, which provides a model for image denoising, enhancement, and restoration, is studied and the existence, uniqueness, and long-time behavior of the proposed model are established.
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More on a New Concept of Entropy and Information
  • M. Rao
  • Computer Science
  • 1 October 2005
TLDR
Some more mathematical properties of CRE are developed, its relation to the L log L class, and the Weibull distribution are shown, which will be of use in statistical estimates.
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Cumulative residual entropy, a new measure of information & its application to image alignment
TLDR
The cross-CRE (CCRE) is defined and applied to solve the uni- and multimodal image alignment problem for parameterized (rigid, affine and projective) transformations and has significantly larger noise immunity and a larger convergence range over the field of parameterized transformations.
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Measures of Entropy From Data Using Infinitely Divisible Kernels
TLDR
A framework to nonparametrically obtain measures of entropy directly from data using operators in reproducing kernel Hilbert spaces defined by infinitely divisible kernels is presented and estimators of kernel-based conditional entropy and mutual information are also defined.
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Minimization Problems and Associated Flows Related to Weighted p Energy and Total Variation
TLDR
It is shown that the flow of the weighted total variation based minimization converges weakly in BV and strongly in L2 to the minimizer as $t\rightarrow \infty$.
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A Unified Framework for Quadratic Measures of Independence
TLDR
It is shown that by generalizing the inner product using a symmetric strictly positive-definite kernel and by choosing appropriate kernels, it is possible to reproduce a number of popular measures of independence.
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DT-MRI denoising and neuronal fiber tracking
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Directly reconstructing principal components of heterogeneous particles from cryo-EM images.
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A Coupled Minimization Problem for Medical Image Segmentation with Priors
TLDR
Results indicate that the proposed model provides close agreement with expert traced borders, and the parameter determined in this model for one image can be used for images with similar properties.
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