Results 11 to 20 of about 10,336,175 (224)
On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results [PDF]
, 2002 Results involving the approximation of the difference between two integral means are utilised to obtain bounds on the Integral Mean Divergence and the f−divergence due to Csiszár. The current work does not restrict the functions involved to be convex. If
Cerone, Pietro, Dragomir, Sever S
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New Approximations for f-Divergence via Trapezoid and Midpoint Inequalities [PDF]
, 2002 Using sharp inequalities of trapezoid and midpoint type in terms of the infinum and supremum of the derivative, some new and better approximation of f−divergence are given.
Pearce, Charles +2 more
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Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions [PDF]
, 2007 A double Jensen type inequality for 2n−convex functions is obtained and applied to establish upper and lower bounds for the f−divergence measure in Information Theory.
Dragomir, Sever S, Koumandos, Stamatis
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A General Divergence Measure for Monotonic Functions and Applications in Information Theory [PDF]
, 2004 A general divergence measure for monotonic functions is introduced. Its connections with the f−divergence for convex functions are explored.
Dragomir, Sever S
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On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means
Entropy, 2019 The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution.
Frank Nielsen
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Exploring clade differentiation of the Faecalibacterium prausnitzii complex
iScience, 2022 Summary: Faecalibacterium prausnitzii is one of the most prevalent and abundant polyphyletic health-promoting components of the human gut microbiome with a propensity for dysbiotic decreases.
Marco Fabbrini +4 more
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Some New Inequalities for Hermite-Hadamard Divergence in Information Theory [PDF]
, 2000 In this paper we prove some new inequalities for Hermite-Hadamard divergence in Information ...
Cerone, Pietro +2 more
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Blind Deconvolution of Seismic Data Using f-Divergences
Entropy, 2011 This paper proposes a new approach to the seismic blind deconvolution problem in the case of band-limited seismic data characterized by low dominant frequency and short data records, based on Csiszár’s f-divergence.
Bing Zhang, Jing-Huai Gao
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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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Entropy, 2020 We consider a sub-class of the f-divergences satisfying a stronger convexity property, which we refer to as strongly convex, or κ-convex divergences. We derive new and old relationships, based on convexity arguments, between popular f-divergences.
James Melbourne
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