Results 11 to 20 of about 739,441 (301)
Probabilistic Autoencoder Using Fisher Information [PDF]
Entropy, 2021 Neural networks play a growing role in many scientific disciplines, including physics. Variational autoencoders (VAEs) are neural networks that are able to represent the essential information of a high dimensional data set in a low dimensional latent ...
Johannes Zacherl +2 more
doaj +7 more sources
Fisher Information Perspective of Pauli’s Electron [PDF]
Entropy, 2022 An electron moving at velocities much lower that the speed of light with a spin, is described by a wave function which is a solution of Pauli’s equation.
Asher Yahalom
doaj +5 more sources
Dirac Equation and Fisher Information [PDF]
EntropyPreviously, it was shown that Schrödinger’s theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli’s theory of an electron with spin, which required a Clebsch flow ...
Asher Yahalom
doaj +4 more sources
Decoherence, Anti-Decoherence, and Fisher Information [PDF]
Entropy, 2021 In this work, we study quantum decoherence as reflected by the dynamics of a system that accounts for the interaction between matter and a given field. The process is described by an important information geometry tool: Fisher’s information measure (FIM).
Andres M. Kowalski, Angelo Plastino
doaj +2 more sources
Discrete Versions of Jensen–Fisher, Fisher and Bayes–Fisher Information Measures of Finite Mixture Distributions [PDF]
Entropy, 2021 In this work, we first consider the discrete version of Fisher information measure and then propose Jensen–Fisher information, to develop some associated results.
Omid Kharazmi +1 more
doaj +2 more sources
Fisher Information of Free-Electron Landau States [PDF]
Entropy, 2021 An electron in a constant magnetic field has energy levels, known as the Landau levels. One can obtain the corresponding radial wavefunction of free-electron Landau states in cylindrical polar coordinates.
Takuya Yamano
doaj +2 more sources
Fisher Information Properties [PDF]
Entropy, 2015 A set of Fisher information properties are presented in order to draw a parallel with similar properties of Shannon differential entropy. Already known properties are presented together with new ones, which include: (i) a generalization of mutual ...
Pablo Zegers
doaj +2 more sources
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
doaj +2 more sources
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
doaj +5 more sources
Mutual information bounded by Fisher information
Physical Review ResearchWe derive a general upper bound to mutual information in terms of the Fisher information. The bound may be further used to derive a lower bound for the Bayesian quadratic cost. These two provide alternatives to other inequalities in the literature (e.g.,
Wojciech Górecki +3 more
doaj +3 more sources