20 citations · 58 across the 20 of their papers we have counts for
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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…