Results 21 to 30 of about 7,129 (263)
The nonconvex and nonsmooth optimization problem has been attracting increasing attention in recent years in image processing and machine learning research. The algorithm-based reweighted step has been widely used in many applications.
Juyeb Yeo, Myeongmin Kang
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Majorization, interpolation and noncommutative Khinchin inequalities
22 pages, accepted ...
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The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder.
Shanhe Wu +2 more
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Majorization theorems for strongly convex functions
In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah +2 more
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Sequences of resource monotones from modular Hamiltonian polynomials
We introduce two infinite sequences of entanglement monotones, which are constructed from expectation values of polynomials in the modular Hamiltonian.
Raúl Arias +4 more
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New Majorized Fractional Simpson Estimates
Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding +4 more
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Generalized Log-Majorization and Multivariate Trace Inequalities [PDF]
We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)] for Schatten norms hold more generally for all unitarily invariant norms and certain variations thereof. The main technical contribution is a generalization of the concept of
Hiai, Fumio +2 more
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A generalization of majorization that characterizes Shannon entropy
We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory.
Mueller, Markus P., Pastena, Michele
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Relationship between stochastic inequalities and some classical mathematical inequalities
The notions of association and dependence of random variables, rearrangements, and heterogeneity via majorization ordering have proven to be most useful for deriving stochastic inequalities.
Tong YL
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Sherman’s and related inequalities with applications in information theory
In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s inequality which have direct connection to ...
S. Ivelić Bradanović +3 more
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