Information-Theoretic

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Information-Theoretic ImagingJ. A. O’Sullivan. CMU Seminar, 03/13/2002Markov Approximations• X and Y RV’s s on finite sets, p(x,y) unknown• Data: N i.i.d. pairs {X{i ,Y i }n(x,• Unconstrained ML Estimate of p(x,y)S Ny)• Lower rank Markov approximationSˆ AX M YM in a set of cardinality K minA I(S || A)• Factor analysis, contingency tables, economics• Problem: Approximation of one matrix by another oflower rank• C. Eckart and G. Young, Psychometrika, , vol. 1, pp. 211-218 1936.• SVD IVD14
Information-Theoretic ImagingJ. A. O’Sullivan. CMU Seminar, 03/13/2002CT Imaging in Presence of HighDensity AttenuatorsBrachytherapy applicatorsAfter-loadingcolpostatsfor radiation oncologyCervical cancer: 50% survival rateDose prediction importantObject-Constrained ComputedTomography (OCCT)15
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Information-Theoretic

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