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General formulation of Shannon's main theorem in information theory, " Usp. van der Meulen, " Density-free convergence properties of various estimators of entropy, " Comput. Statist. Abstract— In the random sampling setting we estimate the entropy of a probability density distribution by the entropy of a kernel density estimator using the double exponential… (More)

We present a multiplicative algorithm for image reconstruction, together with a partial convergence proof. The iterative scheme aims to maximize cross Burg entropy between modeled and measured data. Its application to infrared astronomical satellite (IRAS) data shows reduced ringing around point sources, compared to the EM (Richardson-Lucy) algorithm.

The EM algorithm is not a single algorithm, but a framework for the design of iterative likelihood maximization methods for parameter estimation. Any algorithm based on the EM framework we refer to as an " EM algorithm ". Because there is no inclusive theory that applies to all EM algorithms, the subject is a work in progress, and we find it appropriate to… (More)

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