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12/12/2022
Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions
For arbitrary two probability measures on real d-space with given means ...
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10/18/2022
On Relations Between Tight Bounds for Symmetric f-Divergences and Binary Divergences
Minimizing divergence measures under a constraint is an important proble...
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07/18/2022
Thermodynamic-kinetic uncertainty relation: properties and an information-theoretic interpretation
Universal relations that characterize the fluctuations of nonequilibrium...
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05/27/2021
Tight Lower Bounds for α-Divergences Under Moment Constraints and Relations Between Different α
The α-divergences include the well-known Kullback-Leibler divergence, He...
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10/26/2020
A Tight Lower Bound for the Hellinger Distance with Given Means and Variances
The binary divergences that are divergences between probability measures...
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04/23/2020
On Relations Between the Relative entropy and χ^2–Divergence, Generalizations and Applications
This paper is focused on a study of integral relations between the relat...
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02/16/2020
Convex Optimization on Functionals of Probability Densities
In information theory, some optimization problems result in convex optim...
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01/04/2020
Minimization Problems on Strictly Convex Divergences
The divergence minimization problem plays an important role in various f...
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10/01/2019
Monotonically Decreasing Sequence of Divergences
Divergences are quantities that measure discrepancy between two probabil...
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06/29/2019
A New Lower Bound for Kullback-Leibler Divergence Based on Hammersley-Chapman-Robbins Bound
In this paper, we derive a useful lower bound for the Kullback-Leibler d...
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04/29/2019
Cramér-Rao-type Bound and Stam's Inequality for Discrete Random Variables
The variance and the entropy power of a continuous random variable are b...
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04/29/2019
Properties of discrete Fisher information: Cramer-Rao-type and log-Sobolev-type inequalities
The Fisher information have connections with the standard deviation and ...
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03/25/2019
Inequalities between L^p-norms for log-concave distributions
Log-concave distributions include some important distributions such as n...
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02/04/2019
L^p-norm inequality using q-moment and its applications
For a measurable function on a set which has a finite measure, an inequa...
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10/30/2018
Divergence Network: Graphical calculation method of divergence functions
In this paper, we introduce directed networks called `divergence network...
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10/03/2018
Sum decomposition of divergence into three divergences
Divergence functions play a key role as to measure the discrepancy betwe...
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08/31/2018
Improved Chebyshev inequality: new probability bounds with known supremum of PDF
In this paper, we derive new probability bounds for Chebyshev's inequali...
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08/19/2018
Generalized Bregman and Jensen divergences which include some f-divergences
In this paper, we introduce new classes of divergences by extending the ...
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08/16/2018