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stat.ME2018★ 1 cited
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…
stat.ME2018★ 1 cited
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…
stat.ME2018★ 2 cited
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…