Results 31 to 40 of about 747,762 (279)

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
doaj   +1 more source

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
doaj   +1 more source

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

Frontiers 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

Connecting Fisher information to bulk entanglement in holography

Journal of High Energy Physics, 2018
In the context of relating AdS/CFT to quantum information theory, we propose a holographic dual of Fisher information metric for mixed states in the boundary field theory.
Souvik Banerjee, Johanna Erdmenger, Debajyoti Sarkar   +2 more
doaj   +1 more source

Common fixed point theorems of contractive-type mappings

International 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

b-Metric Generalization of Some Fixed Point Theorems

Journal of Function Spaces, 2018
We prove common fixed point theorems in terms of b-metric spaces with new contractions. The results presented in this paper include b-metric generalizations of some fixed point theorems of Fisher, Pachpatte, and Sahu and Sharma.
Mumtaz Ali, Muhammad Arshad
doaj   +1 more source

Optimal Common Fixed Point Results in Complete Metric Spaces with w-distance [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this article, we will study the existence and uniqueness of optimal common fixed points for self-mappings in metric spaces with w-distance. We obtain generalizations of the Kocev and Rako\v{c}evi\'{c} fixed point theorems.
Akram Safari-Hafshejani
doaj   +1 more source

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold

Entropy, 2023
We studied the dynamical behaviors of degenerate stochastic differential equations (SDEs). We selected an auxiliary Fisher information functional as the Lyapunov functional.
Qi Feng, Wuchen Li
doaj   +1 more source

A Comparison between Wasserstein Distance and a Distance Induced by Fisher-Rao Metric in Complex Shapes Clustering

Proceedings, 2017
Shape Analysis studies geometrical objects, as for example a flat fish in the plane or a human head in the space. The applications range from structural biology, computer vision, medical imaging to archaeology. We focus on the selection of an appropriate
Angela De Sanctis, Stefano A. Gattone
doaj   +1 more source

A novel information geometry method for estimating parameters of the Weibull wind speed distribution; pp. 39–49 [PDF]

Proceedings of the Estonian Academy of Sciences, 2018
Accurate modelling of wind speed is very important for the assessment of the wind energy potential of a region. The two-parameter Weibull distribution is widely used to model wind speed.
Mehmet Kurban, Emrah Dokur, Salim Ceyhan
doaj   +1 more source