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Fisher Information and Semiclassical Treatments [PDF]
Entropy, 2009 We review here the difference between quantum statistical treatments and semiclassical ones, using as the main concomitant tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions.
Angelo Plastino +2 more
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Transactional Interpretation for the Principle of Minimum Fisher Information [PDF]
Entropy, 2021 The principle of minimum Fisher information states that in the set of acceptable probability distributions characterizing the given system, it is best done by the one that minimizes the corresponding Fisher information.
Marcin Makowski +3 more
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On a Conjecture regarding Fisher Information [PDF]
Advances in Mathematical Physics, 2015 Fisher’s information measure I plays a very important role in diverse areas of theoretical physics. The associated measures Ix and Ip, as functionals of quantum probability distributions defined in, respectively, coordinate and momentum spaces, are the ...
Angelo Plastino +2 more
doaj +4 more sources
Mutual Information, Fisher Information, and Population Coding [PDF]
Neural Computation, 1998 In the context of parameter estimation and model selection, it is only quite recently that a direct link between the Fisher information and information-theoretic quantities has been exhibited. We give an interpretation of this link within the standard framework of information theory.
Brunel, Nicolas, Nadal, Jean-Pierre
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Inequalities for quantum Fisher information [PDF]
Proceedings of the American Mathematical Society, 2008 In 2003 Luo proved an inequality relating the Wigner-Yanase information and the $SLD$-information. In this paper we prove that Luo's inequality is a particular case of a general inequality which holds for any regular quantum Fisher information. Moreover we show that this general inequality is a consequence of the Kubo-Ando inequality that states that ...
GIBILISCO, PAOLO +2 more
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Fisher Information Neural Estimation
2022 30th European Signal Processing Conference (EUSIPCO), 2022 International audienceFisher information is a fundamental quantity in information theory and signal processing. A direct analytical computation of the Fisher information is often infeasible or intractable due to the lack or sophistication of statistical ...
Tran Trong Duy +4 more
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Jeffreys Divergence and Generalized Fisher Information Measures on Fokker-Planck Space-Time Random Field. [PDF]
Entropy (Basel), 2023 In this paper, we present the derivation of Jeffreys divergence, generalized Fisher divergence, and the corresponding De Bruijn identities for space–time random field.
Zhang J.
europepmc +2 more sources
A Fisher Information Theory of Aesthetic Preference for Complexity. [PDF]
Entropy (Basel)When evaluating sensory stimuli, people tend to prefer those with not too little or not too much complexity. A recent theoretical proposal for this phenomenon is that preference has a direct link to the Observed Fisher Information that a stimulus carries
Berquet S, Aleem H, Grzywacz NM.
europepmc +2 more sources
Cumulative Residual q-Fisher Information and Jensen-Cumulative Residual χ2 Divergence Measures. [PDF]
Entropy (Basel), 2022 In this work, we define cumulative residual q-Fisher (CRQF) information measures for the survival function (SF) of the underlying random variables as well as for the model parameter. We also propose q-hazard rate (QHR) function via q-logarithmic function
Kharazmi O, Balakrishnan N, Jamali H.
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Fisher Information and Mutual Information Constraints [PDF]
2021 IEEE International Symposium on Information Theory (ISIT), 2021 We consider the processing of statistical samples $X\sim P_θ$ by a channel $p(y|x)$, and characterize how the statistical information from the samples for estimating the parameter $θ\in\mathbb{R}^d$ can scale with the mutual information or capacity of the channel.
Leighton Pate Barnes, Ayfer Özgür
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