Results 21 to 30 of about 62,953 (258)

Smooth Metric Adjusted Skew Information Rates [PDF]

open access: yesQuantum, 2023
Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry.
Koji Yamaguchi, Hiroyasu Tajima
doaj   +1 more source

Optical flow estimation using the Fisher–Rao metric [PDF]

open access: yesNeuromorphic Computing and Engineering, 2021
Abstract The optical flow in an event camera is estimated using measurements in the address event representation (AER). Each measurement consists of a pixel address and the time at which a change in the pixel value equalled a given fixed threshold.
Stephen J. Maybank   +3 more
openaire   +1 more source

The Volume of Two-Qubit States by Information Geometry

open access: yesEntropy, 2018
Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with ...
Milajiguli Rexiti   +2 more
doaj   +1 more source

The uniqueness of the Fisher metric as information metric [PDF]

open access: yesAnnals of the Institute of Statistical Mathematics, 2016
v.4. 18 p. Minor changes in exposition.
openaire   +4 more sources

F-Geometry and Amari’s α-Geometry on a Statistical Manifold

open access: yesEntropy, 2014
In this paper, we introduce a geometry called F-geometry on a statistical manifold S using an embedding F of S into the space RX of random variables. Amari’s α-geometry is a special case of F-geometry.
Harsha K. V.   +1 more
doaj   +1 more source

Some related fixed point theorems for multivalued mappings on two metric spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
The definition of related mappings was introduced by Fisher in 1981. He proved some theorems about the existence of fixed points of single valued mappings defined on two complete metric spaces and relations between these mappings.
Ö. Biçer   +3 more
doaj   +1 more source

Measurement Cost of Metric-Aware Variational Quantum Algorithms

open access: yesPRX 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
doaj   +1 more source

Clustering Financial Return Distributions Using the Fisher Information Metric

open access: yesEntropy, 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
doaj   +1 more source

Auto-Weighted Multi-View Discriminative Metric Learning Method With Fisher Discriminative and Global Structure Constraints for Epilepsy EEG Signal Classification

open access: yesFrontiers in Neuroscience, 2020
Metric learning is a class of efficient algorithms for EEG signal classification problem. Usually, metric learning method deals with EEG signals in the single view space. To exploit the diversity and complementariness of different feature representations,
Jing Xue, Xiaoqing Gu, Tongguang Ni
doaj   +1 more source

Common fixed point theorems of contractive-type mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
Using the concept of D-metric we prove some common fixed point theorems for generalized contractive mappings on a complete D-metric space. Our results extend, improve, and unify results of Fisher and Ćirić.
Hee Soo Park, Jeong Sheok Ume
doaj   +1 more source

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