f-divergence
On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results
... Mean Divergence and the f−divergence due to Csisz´ ...Mean Divergence is the Hermite-Hadamard divergence introduced by Shioya and ...
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Some quantum f-divergence inequalities for convex functions of self-adjoint operators
... quantum f -divergence, mostly in the case when f is operator convex, have been obtained in the recent papers [15], [16], [20], [21] and the references ...
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New information inequalities on new f divergence by using ostrowski’s inequalities and its application
... Shannon divergence, Triangular Geometric divergence, Relative J- divergence, and Hellinger square divergence and Varitional distance independently in a specific interval by using two different ...
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A new quantum f-divergence for trace class operators in hilbert spaces
... Abstract: A new quantum f -divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. ...
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Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
... We can prove the following result that provides simpler upper bounds for the quantum f -divergence when the operators P and Q satisfy the condition (2.18). Theorem 8. Let f : [0, ∞ ) → R be a ...
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Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions
... Similar results may be considered for other log-convex functions for which the log-derivatives are function of specific interest and generating δ−divergences which can be easier to calculate/estimate. In the next section ...
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New Approximations for f-Divergence via Trapezoid and Midpoint Inequalities
... [8] S.S. DRAGOMIR, V. GLUSCEVIC and C.E. M. PEARCE, The approximation of Csisz` ar f-divergence for absolutely continuous mappings, in Inequality Theory and Applications - Volume 1, Y.J. Cho, J.K. Kim and ...
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A Refinement of Jensen's Inequality with Applications for f-Divergence Measures
... for f -divergence measures of Csisz´ ar with particular instances for the total variation distance, χ 2 -divergence, Kullback-Leibler and Jeffreys divergences are provided as ...
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Generalizations of Hölder inequalities for Csiszar’s f divergence
... The aim of this paper is to give new generalizations of inequalities (.) and (.). Some related inequalities are also considered. The paper is organized as follows. In Section , we recall some basic facts about the ...
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A Generalization of f-Divergence Measure to Convex Functions Defined on Linear Spaces
... If one chooses di¤ erent convex functions generating particular diver- gence measures such as the Kullback-Leibler, Je¤ reys or Hellinger divergences, that one can obtain some particular[r] ...
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Majorization, Csiszár divergence and Zipf Mandelbrot law
... In this paper we show how the Shannon entropy is connected to the theory of majoriza- tion. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria ...
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Zipf–Mandelbrot law, f divergences and the Jensen type interpolating inequalities
... of f -divergences which measure the distance between two probability distributions by making an average value, which is weighted by a specific function, of the odds ratio given by two probability ...existing ...
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Some New Inequalities for Hermite-Hadamard Divergence in Information Theory
... of f -divergence and so further ex- ploration of this concept will have a flow on effect to other measures of distance and to areas in which they are ...
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Some Slater's Type Inequalities for Convex Functions Defined on Linear Spaces and Applications
... The main aim of the present paper is to extend Slater’s inequality for convex functions de…ned on general linear spaces. A reverse of the Slater’s inequality is also obtained. Natural applications for norm inequalities ...
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Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications
... function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f 0 including absolute conti- ...
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Refinement of Jensen’s inequality and estimation of f and Rényi divergence via Montgomery identity
... for divergence between probability ...an f -divergence functional, we obtain some estimates for the new functionals, the f -divergence, and Rényi ...
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Accounting for the great divergence
... Great Divergence of productivity and living standards between Europe and Asia has had a remarkable impact on the economic history ...of divergence, but were not seen as its fundamental ...
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On divergence and sums of derivations
... simplest divergence-free ...between divergence-free derivation and jacobian ...every divergence-free derivation of the polynomial ring K [x, y, z] is a sum of at most two jacobian derivations ...
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Development and Population Divergence
... Heat maps and hierarchical clustering of genes whose expression significantly differs (pairwise comparisons, p < 0.01) within each developmental stage, among sensitive and resistan[r] ...
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GENE GENEALOGY AND VARIANCE OF INTERPOPULATIONAL NUCLEOTIDE DIFFERENCES
... When this method of estimating divergence time is applied to closely related species or populations, however, some caution is necessary because the divergence time be[r] ...
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