Fisher information as a measure of privacy: Preserving privacy of households with smart meters using batteries

F Farokhi, H Sandberg - IEEE Transactions on Smart Grid, 2017 - ieeexplore.ieee.org
In this paper, batteries are used to preserve the privacy of households with smart meters. It is
commonly understood that data from smart meters can be used by adversaries to infringe on …

The Gaussian data assumption leads to the largest Cramér-Rao bound [lecture notes]

P Stoica, P Babu - IEEE Signal Processing Magazine, 2011 - ieeexplore.ieee.org
The Gaussian data assumption is sometimes criticized as being unrealistic in certain
applications. While this is a valid criticism, it is also true that the Gaussian assumption is a …

A lower bound for the Fisher information measure

M Stein, A Mezghani, JA Nossek - IEEE Signal Processing …, 2014 - ieeexplore.ieee.org
The problem how to approximately determine the value of the Fisher information measure
for a general parametric probabilistic system is considered. Having available the first and …

A quantum uncertainty relation based on Fisher's information

P Sánchez-Moreno, AR Plastino… - Journal of Physics A …, 2011 - iopscience.iop.org
We explore quantum uncertainty relations involving the Fisher information functionals I x and
I p evaluated, respectively, on a wavefunction Ψ (x) defined on a D-dimensional …

Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential

IB Okon, CN Isonguyo, AD Antia, AN Ikot… - … in Theoretical Physics, 2020 - iopscience.iop.org
In this work, we determine the Fisher and Shannon entropies, the expectation values and
the squeeze state for a noncentral inversely quadratic plus exponential Mie-type potential …

Geometrical analysis of physically allowed quantum cloning transformations for quantum cryptography

L Gyongyosi, S Imre - Information Sciences, 2014 - Elsevier
The security of quantum key distribution (QKD) relies on the no-cloning theorem, which
allows no to copy perfectly a quantum system. An eavesdropping activity on the quantum …

Measures of statistical dispersion based on Shannon and Fisher information concepts

L Kostal, P Lansky, O Pokora - Information Sciences, 2013 - Elsevier
We propose and discuss two information-based measures of statistical dispersion of positive
continuous random variables: the entropy-based dispersion and Fisher information-based …

Schrödinger mechanisms: Optimal differential privacy mechanisms for small sensitivity

W Alghamdi, S Asoodeh, FP Calmon… - 2023 IEEE …, 2023 - ieeexplore.ieee.org
We consider the problem of designing optimal differential privacy mechanisms with a
favorable privacy-utility tradeoff in the limit of a large number n of compositions (ie …

Bayesian risk with Bregman loss: A Cramér–Rao type bound and linear estimation

A Dytso, M Fauß, HV Poor - IEEE Transactions on Information …, 2021 - ieeexplore.ieee.org
A general class of Bayesian lower bounds when the underlying loss function is a Bregman
divergence is demonstrated. This class can be considered as an extension of the Weinstein …

On the time-dependent Fisher information of a density function

O Kharazmi, M Asadi - Brazilian Journal of Probability and Statistics, 2018 - JSTOR
Fisher information is a very important and fundamental criterion in statistical inference
especially in optimal and large sample studies in estimation theory. It also plays a key role in …