Results 21 to 30 of about 4,515 (154)
Samplers and Extractors for Unbounded Functions [PDF]
, 2019 Blasiok (SODA\u2718) recently introduced the notion of a subgaussian sampler, defined as an averaging sampler for approximating the mean of functions f from {0,1}^m to the real numbers such that f(U_m) has subgaussian tails, and asked for explicit ...
Agrawal, Rohit
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Rényi Entropy in Statistical Mechanics
Entropy, 2022 Rényi entropy was originally introduced in the field of information theory as a parametric relaxation of Shannon (in physics, Boltzmann–Gibbs) entropy. This has also fuelled different attempts to generalise statistical mechanics, although mostly skipping
Jesús Fuentes, Jorge Gonçalves
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Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals [PDF]
Arab Journal of Mathematical Sciences, 2020 In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy.
Khuram Ali Khan +3 more
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RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
Journal of Inequalities and Applications, 2019 In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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Spacecraft Anomaly Recognition Based on Morphological Variational Mode Decomposition and JRD [PDF]
Xibei Gongye Daxue Xuebao, 2018 Considering the difficulty in identifying the in-orbital spacecraft weak anomaly, a spacecraft anomaly state recognition method based on Morphological variational mode decomposition and JRD distance is proposed.
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Topologically Protected Negative Entanglement. [PDF]
Adv Sci (Weinh)It is revealed that topological flat‐band edge states can lead to robust unconventional negative entanglement entropy scaling. This arises from a new mechanism of non‐Hermitian critical skin compression (nHCSC), which strongly “compresses” quantum information beyond flat‐band degeneracy.
Xue WT, Lee CH.
europepmc +2 more sources
On some entropy functionals derived from R\'enyi information divergence [PDF]
, 2008 We consider the maximum entropy problems associated with R\'enyi $Q$-entropy, subject to two kinds of constraints on expected values. The constraints considered are a constraint on the standard expectation, and a constraint on the generalized expectation
Asadi +37 more
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Generalization of the Levinson inequality with applications to information theory
Journal of Inequalities and Applications, 2019 In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
doaj +1 more source
Constraining quantum fields using modular theory
Journal of High Energy Physics, 2019 Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states.
Nima Lashkari
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Association of Jensen’s inequality for s-convex function with Csiszár divergence
Journal of Inequalities and Applications, 2019 In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan +4 more
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