Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$χα2-divergence
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DOI: 10.1007/s11005-017-0989-0
Abstract: We describe the structure of all bijective maps on the cone of positive definite operators acting on a finite and at least two-dimensional complex Hilbert space which preserve the quantum $$\chi _\alpha ^2$$χα2-divergence for some… read more here.
Keywords: positive definite; definite operators; quantum chi; chi alpha ... See more keywords
On the Attractive and Repulsive Forces of Generalized Stochastic Neighbor Embedding With Alpha-Divergence
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DOI: 10.1109/access.2024.3420425
Abstract: Stochastic neighbor embedding (SNE) performs nonlinear transformation from high-dimensional observation space to low-dimensional latent space which preserves neighbor affinities. Data pairs in latent space tend to be crowded due to the dimensionality reduction. To mitigate… read more here.
Keywords: alpha divergence; stochastic neighbor; neighbor embedding; sne ... See more keywords