Apr 30, 2020 · Abstract:Matrix scaling is a classical problem with a wide range of applications. It is known that the Sinkhorn algorithm for matrix scaling ...
Sep 15, 2022 · The operator scaling problem is to find non-singular Hermitian matrices L ∈ C m × m and R ∈ C n × n such that ⁎ Φ L , R ( I n ) = 1 m I m and Φ ...
Operator scaling is a generalization of matrix scaling with many applications. We investigated the operator Sinkhorn algorithm from the viewpoint of quantum ...
Nov 19, 2021 · Abstract. Matrix scaling is a classical problem with a wide range of applications. It is known that the Sinkhorn algorithm for matrix ...
Dec 9, 2024 · Recently, a generalization of matrix scaling to completely positive maps called operator scaling has been found to appear in various fields of ...
Information geometry is used to uncover a statistical picture of non-negative low-rank approximations of multi-dimensional arrays and point out the ...
In this study, the operator Sinkhorn algorithm is studied from the viewpoint of quantum information geometry through the Choi representation of completely ...
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Bibliographic details on Information geometry of operator scaling.
Information geometry of operator scaling ; Journal: Linear Algebra and its Applications, 2022, p. 240-267 ; Publisher: Elsevier BV ; Authors: Takeru Matsuda, ...
In this study, the operator Sinkhorn algorithm is studied from the viewpoint of quantum information geometry through the Choi representation of completely ...