Results 41 to 50 of about 25,362 (278)
Quantum $f$-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces [PDF]
, 2016 We determine the structure of all bijections on the cone of positive semidefinite operators which preserve the quantum $f$-divergence for an arbitrary strictly convex function $f$ defined on the positive halfline.
Virosztek, Dániel
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About the sharpness of the Jensen inequality
Journal of Inequalities and Applications, 2018 The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not ...
Ðilda Pečarić +2 more
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f-Divergence Variational Inference
, 2020 Dapeng Li and Neng Wan contributed equally to this paper. Supplementary material is attached. The links to code are provided in the paper, supplementary material and reference list. To appear in Advances in Neural Information Processing Systems 33 (NeurIPS 2020)
Wan, Neng, Li, Dapeng, Hovakimyan, Naira
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Lower bounds for the minimax risk using $f$-divergences and applications
, 2011 Lower bounds involving $f$-divergences between the underlying probability measures are proved for the minimax risk in estimation problems. Our proofs just use simple convexity facts.
Guntuboyina, Adityanand
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f-Divergence for Convex Bodies [PDF]
, 2013 We introduce f-divergence, a concept from information theory and statistics, for convex bodies in R^n. We prove that f-divergences are SL(n) invariant valuations and we establish an affine isoperimetric inequality for these quantities. We show that generalized affine surface area and in particular the L_p affine surface area from the L_p Brunn ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
Taxonomy and biogeography of the Nearctic Raphia Hübner (Lepidoptera, Noctuidae, Raphiinae)
ZooKeys, 2014 The taxonomic status and biogeography of the North American Raphia species is reviewed using adult morphology, larval host plants, geographic phenotypic variation, and variation of mtDNA COI barcode sequences. Lack of diagnostic morphological differences,
Christian Schmidt, Gary Anweiler
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Sum decomposition of divergence into three divergences
, 2018 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 the Bregman divergences, the Jensen divergences and the f-divergences. In
Nishiyama, Tomohiro
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
On the Chi square and higher-order Chi distances for approximating f-divergences
, 2013 We report closed-form formula for calculating the Chi square and higher-order Chi distances between statistical distributions belonging to the same exponential family with affine natural space, and instantiate those formula for the Poisson and isotropic ...
Nielsen, Frank, Nock, Richard
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