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- W2604025232 abstract "The current work generalizes the author's previous work on the infinite-dimensional Alpha Log-Determinant (Log-Det) divergences and Alpha-Beta Log-Det divergences, defined on the set of positive definite unitized trace class operators on a Hilbert space, to the entire Hilbert manifold of positive definite unitized Hilbert-Schmidt operators. This generalization is carried out via the introduction of the extended Hilbert-Carleman determinant for unitized Hilbert-Schmidt operators, in addition to the previously introduced extended Fredholm determinant for unitized trace class operators. The resulting parametrized family of Alpha-Beta Log-Det divergences is general and contains many divergences between positive definite unitized Hilbert-Schmidt operators as special cases, including the infinite-dimensional affine-invariant Riemannian distance and the infinite-dimensional generalization of the symmetric Stein divergence." @default.
- W2604025232 created "2017-04-07" @default.
- W2604025232 creator A5007571091 @default.
- W2604025232 date "2017-02-11" @default.
- W2604025232 modified "2023-09-27" @default.
- W2604025232 title "Infinite-dimensional Log-Determinant divergences between positive definite Hilbert-Schmidt operators" @default.
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- W2604025232 hasPublicationYear "2017" @default.
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