Matrix Completion by the Principle of Parsimony

Mathematics – Optimization and Control

Scientific paper

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15 pages

Scientific paper

Dempster's covariance selection method is extended first to general
nonsingular matrices and then to full rank rectangular matrices. Dempster
observed that his completion solved a maximum entropy problem. We show that our
generalized completions are also solutions of a suitable entropy-like
variational problem.

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