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Refined Pinsker’s and Reverse Pinsker’s Inequalities for Probability Distributions of Different Dimensions | IEEE Journals & Magazine | IEEE Xplore

Refined Pinsker’s and Reverse Pinsker’s Inequalities for Probability Distributions of Different Dimensions


A visual representation of the parametrization of the augmented Vajda's lower bound. As we can see, it is symmetric around the augmented KL divergence axis.

Abstract:

We provide optimal lower and upper bounds for the augmented Kullback-Leibler divergence in terms of the augmented total variation distance between two probability measure...Show More

Abstract:

We provide optimal lower and upper bounds for the augmented Kullback-Leibler divergence in terms of the augmented total variation distance between two probability measures defined on two Euclidean spaces having different dimensions. We call them refined Pinsker’s and reverse Pinsker’s inequalities, respectively.
A visual representation of the parametrization of the augmented Vajda's lower bound. As we can see, it is symmetric around the augmented KL divergence axis.
Published in: IEEE Access ( Volume: 10)
Page(s): 116425 - 116431
Date of Publication: 04 November 2022
Electronic ISSN: 2169-3536

Funding Agency:


References

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