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• W3005824432 abstract "We generalize the family of $alpha$-divergences using a pair of strictly comparable weighted means. In particular, we obtain the $1$-divergence in the limit case $alpharightarrow 1$ (a generalization of the Kullback-Leibler divergence) and the $0$-divergence in the limit case $alpharightarrow 0$ (a generalization of the reverse Kullback-Leibler divergence). We state the condition for a pair of quasi-arithmetic means to be strictly comparable, and report the formula for the quasi-arithmetic $alpha$-divergences and its subfamily of bipower homogeneous $alpha$-divergences which belong to the Csisar's $f$-divergences. Finally, we show that these generalized quasi-arithmetic $1$-divergences and $0$-divergences can be decomposed as the sum of generalized cross-entropies minus entropies, and rewritten as conformal Bregman divergences using monotone embeddings." @default.
• W3005824432 created "2020-02-24" @default.
• W3005824432 creator A5061293973 @default.
• W3005824432 date "2020-01-27" @default.
• W3005824432 modified "2023-09-27" @default.
• W3005824432 title "The {alpha}-divergences associated with a pair of strictly comparable quasi-arithmetic means" @default.
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• W3005824432 hasPublicationYear "2020" @default.
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