Results 21 to 30 of about 265,506 (258)
Measurement Cost of Metric-Aware Variational Quantum Algorithms
PRX Quantum, 2021 We consider metric-aware quantum algorithms that use a quantum computer to efficiently estimate both a matrix and a vector object. For example, the recently introduced quantum natural gradient approach uses the Fisher matrix as a metric tensor to correct
Barnaby van Straaten, Bálint Koczor
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Fisher Task Distance and its Application in Neural Architecture Search
IEEE Access, 2022 We formulate an asymmetric (or non-commutative) distance between tasks based on Fisher Information Matrices, called Fisher task distance. This distance represents the complexity of transferring the knowledge from one task to another.
Cat P. Le +3 more
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Information entropies for the Morse potential using the J-matrix method
Results in Physics, 2017 Information entropies, such as Shannon, Fisher and Rényi entropies, with their associated quantities, are calculated and discussed for the Morse potential in the position (r) and momentum (p) spaces using the J-matrix method.
M.S. Abdelmonem +2 more
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PRX Quantum, 2021 The quantum Fisher information matrix is a central object in multiparameter quantum estimation theory. It is usually challenging to obtain analytical expressions for it because most calculation methods rely on the diagonalization of the density matrix ...
Lukas J. Fiderer +3 more
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REDUCTION OF SAMPLE SIZE IN THE ANALYSIS OF SPATIAL VARIABILITY OF NONSTATIONARY SOIL CHEMICAL ATTRIBUTES [PDF]
Engenharia Agrícola, 2019 In the study of spatial variability of soil attributes, it is essential to define a sampling plan with adequate sample size. This study aimed to evaluate, through simulated data, the influence of parameters of the geostatistical model and sampling ...
Tamara C. Maltauro +2 more
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Statistical Approach to Some Mathematical Problems
Austrian Journal of Statistics, 2016 A number of examples illustrate the following thesis. Mathematical problems involving the Fisher information have statistical roots. The list of examples includes (i) singularity of product measures with respect to their shifts, (ii) Carlen’s ...
Abram Kagan
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Fisher information matrix of binary time series [PDF]
METRON, 2018 A common approach to analyzing categorical correlated time series data is to fit a generalized linear model (GLM) with past data as covariate inputs. There remain challenges to conducting inference for short time series length. By treating the historical data as covariate inputs, standard errors of estimates of GLM parameters computed using the ...
Gao, Xu, Gillen, Daniel, Ombao, Hernando
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From ƒ-Divergence to Quantum Quasi-Entropies and Their Use
Entropy, 2010 Csiszár’s ƒ-divergence of two probability distributions was extended to the quantum case by the author in 1985. In the quantum setting, positive semidefinite matrices are in the place of probability distributions and the quantum generalization is called ...
Dénes Petz
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On weighted Fisher information matrix properties
CoRR, 2016 In this paper, we review Fisher information matrices properties in weighted version and discuss inequalities/bounds on it by using reduced weight functions. In particular, an extended form of the Fisher information inequality previously established in [6] is given.
Kelbert, Mark +2 more
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Clustering Financial Return Distributions Using the Fisher Information Metric
Entropy, 2019 Information geometry provides a correspondence between differential geometry and statistics through the Fisher information matrix. In particular, given two models from the same parametric family of distributions, one can define the distance between these
Stephen Taylor
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