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Probabilistic Autoencoder Using Fisher Information [PDF]

open access: yesEntropy, 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]

open access: yesEntropy, 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]

open access: yesEntropy
Previously, 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]

open access: yesEntropy, 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

On a Conjecture regarding Fisher Information [PDF]

open access: yesAdvances 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

Discrete Versions of Jensen–Fisher, Fisher and Bayes–Fisher Information Measures of Finite Mixture Distributions [PDF]

open access: yesEntropy, 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]

open access: yesEntropy, 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

Transactional Interpretation for the Principle of Minimum Fisher Information [PDF]

open access: yesEntropy, 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

Bayesian optimization of Fisher Information in nonlinear multiresonant quantum photonics gyroscopes [PDF]

open access: yesNanophotonics
We propose an on-chip gyroscope based on nonlinear multiresonant optics in a thin film χ (2) resonator that combines high sensitivity, compact form factor, and low power consumption simultaneously.
Sun Mengdi   +3 more
doaj   +2 more sources

Characterizing (non-)Markovianity through Fisher information

open access: yesSciPost Physics, 2023
A non-isolated physical system typically loses information to its environment, and when such loss is irreversible the evolution is said to be Markovian.
Paolo Abiuso, Matteo Scandi, Dario De Santis, Jacopo Surace
doaj   +1 more source

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