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Relationships between certain f -divergences
2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2019We investigate the concavity deficit of the entropy functional. Some properties of the skew-divergence are developed and a “skew” $\chi^{2}$ divergence is introduced. Various relationships between these f - divergences and others are established, including a reverse Pinsker type inequality for the skew divergence, which in turn yields a sharpening on ...
James Melbourne +2 more
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Preservation of Maximal f-Divergences
2021In this chapter we will characterize the preservation of \(\widehat S_f\) under a unital normal positive map γ, i.e., the equality case in the monotonicity inequality \(\widehat S_f(\psi \circ \gamma \|\varphi \circ \varphi )\le \widehat S_f(\psi \|\varphi )\).
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Unitary orbit optimization of quantum f-divergence
Quantum Information ProcessingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Haojian, Yan, Xiaojing
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Risk-Based Generalizations of f-divergences
2011We derive a generalized notion of f-divergences, called (f,l)-divergences. We show that this generalization enjoys many of the nice properties of f-divergences, although it is a richer family. It also provides alternative definitions of standard divergences in terms of surrogate risks.
García-García, Darío +2 more
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Tensorization of $f$-Divergences
2025 IEEE International Symposium on Information Theory (ISIT)Rodrigo Cruz +2 more
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A Minimax Result for f-Divergences
2006Alexander A. Gushchin, Denis A. Zhdanov
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Hermite-Hadamard f-Divergence Operator Mapping
Complex Analysis and Operator TheorySilvestru Sever Dragomir +1 more
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