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On Procrustes matching of non-negative matrices and an application to random tomography

Christian Rau(christianrau080***at***gmail.com)

Abstract: We consider a Procrustes matching problem for non-negative matrices that arose in random tomography. As an alternative to the Frobenius distance, we propose an alternative non-symmetric distance using generalized inverses. Among its advantages is that it leads to a relatively simple quadratic function that can be optimized with least-square methods on manifolds.

Keywords: Brockett cost function; generalized inverses; least-square methods on manifolds; Procrustes methods; random tomography

Category 1: Applications -- Science and Engineering (Biomedical Applications )

Category 2: Applications -- Science and Engineering (Statistics )

Citation: Accepted for publication in Linear and Multilinear Algebra, published online on 03 February 2017

Download: [PDF]

Entry Submitted: 03/19/2017
Entry Accepted: 03/19/2017
Entry Last Modified: 03/19/2017

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