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math.PR2022
Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions
Tomohiro Nishiyama
For arbitrary two probability measures on real d-space with given means and variances (covariance matrices), we provide lower bounds for their total variation distance. In the one-…
cs.IT2022
On Relations Between Tight Bounds for Symmetric -Divergences and Binary Divergences
Tomohiro Nishiyama
Minimizing divergence measures under a constraint is an important problem. We derive a sufficient condition that binary divergence measures provide lower bounds for symmetric diver…
cond-mat.stat-mech2022
Thermodynamic-kinetic uncertainty relation: properties and an information-theoretic interpretation
Tomohiro Nishiyama
Universal relations that characterize the fluctuations of nonequilibrium systems are of fundamental importance. The thermodynamic and kinetic uncertainty relations impose upper bou…