Upper and lower bounds for the Bregman divergence
Abstract In this paper we study upper and lower bounds on the Bregman divergence ΔFξ(y,x):=F(y)−F(x)−〈ξ,y−x〉 $\Delta_{\mathcal {F}}^{\xi }(y,x):=\mathcal {F}(y)-\mathcal {F}(x)- \langle \xi , y-x \rangle$ for some convex functional F $\mathcal {F}$ on a normed space X $\mathcal {X}$, with subgradien...
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-01-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-018-1953-y |