20 citations · 58 across the 20 of their papers we have counts for
20 papers
Upper bound for entropy production in Markov processes
Tomohiro Nishiyama, Yoshihiko Hasegawa
The second law of thermodynamics states that entropy production cannot be negative. Recent developments concerning uncertainty relations in stochastic thermodynamics, such as therm…
Effective estimation of entropy production with lacking data
Marco Baiesi, Tomohiro Nishiyama, Gianmaria Falasco
Observing stochastic trajectories with rare transitions between states, practically undetectable on time scales accessible to experiments, makes it impossible to directly quantify…
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-…
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…
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…
Tight Lower Bounds for -Divergences Under Moment Constraints and Relations Between Different
Tomohiro Nishiyama
The -divergences include the well-known Kullback-Leibler divergence, Hellinger distance and -divergence. In this paper, we derive differential and integral relations betwee…
A Tight Lower Bound for the Hellinger Distance with Given Means and Variances
Tomohiro Nishiyama
The binary divergences that are divergences between probability measures defined on the same 2-point set have an interesting property. For the chi-squared divergence and the relati…
On Relations Between the Relative entropy and -Divergence, Generalizations and Applications
Tomohiro Nishiyama, Igal Sason
The relative entropy and chi-squared divergence are fundamental divergence measures in information theory and statistics. This paper is focused on a study of integral relations bet…
Convex Optimization on Functionals of Probability Densities
Tomohiro Nishiyama
In information theory, some optimization problems result in convex optimization problems on strictly convex functionals of probability densities. In this note, we study these probl…
Minimization Problems on Strictly Convex Divergences
Tomohiro Nishiyama
The divergence minimization problem plays an important role in various fields. In this note, we focus on differentiable and strictly convex divergences. For some minimization probl…
Monotonically Decreasing Sequence of Divergences
Tomohiro Nishiyama
Divergences are quantities that measure discrepancy between two probability distributions and play an important role in various fields such as statistics and machine learning. Dive…
A New Lower Bound for Kullback-Leibler Divergence Based on Hammersley-Chapman-Robbins Bound
Tomohiro Nishiyama
In this paper, we derive a useful lower bound for the Kullback-Leibler divergence (KL-divergence) based on the Hammersley-Chapman-Robbins bound (HCRB). The HCRB states that the var…
Cramér-Rao-type Bound and Stam's Inequality for Discrete Random Variables
Tomohiro Nishiyama
The variance and the entropy power of a continuous random variable are bounded from below by the reciprocal of its Fisher information through the Cramér-Rao bound and the Stam's in…
Inequalities between -norms for log-concave distributions
Tomohiro Nishiyama
Log-concave distributions include some important distributions such as normal distribution, exponential distribution and so on. In this note, we show inequalities between two Lp-no…
-norm inequality using q-moment and its applications
Tomohiro Nishiyama
For a measurable function on a set which has a finite measure, an inequality holds between two Lp-norms. In this paper, we show similar inequalities for the Euclidean space and the…
Divergence Network: Graphical calculation method of divergence functions
Tomohiro Nishiyama
In this paper, we introduce directed networks called `divergence network' in order to perform graphical calculation of divergence functions. By using the divergence networks, we ca…
Sum decomposition of divergence into three divergences
Tomohiro Nishiyama
Divergence functions play a key role as to measure the discrepancy between two points in the field of machine learning, statistics and signal processing. Well-known divergences are…
Generalized Bregman and Jensen divergences which include some f-divergences
Tomohiro Nishiyama
In this paper, we introduce new classes of divergences by extending the definitions of the Bregman divergence and the skew Jensen divergence. These new divergence classes (g-Bregma…
Divergence functions in dually flat spaces and their properties
Tomohiro Nishiyama
In the field of statistics, many kind of divergence functions have been studied as an amount which measures the discrepancy between two probability distributions. In the differenti…
Improved Chebyshev inequality: new probability bounds with known supremum of PDF
Tomohiro Nishiyama
In this paper, we derive new probability bounds for Chebyshev's inequality if the supremum of the probability density function is known. This result holds for one-dimensional or mu…