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Two Types of Geometric Jensen–Shannon Divergences [PDF]

open access: yesEntropy
The geometric Jensen–Shannon divergence (G-JSD) has gained popularity in machine learning and information sciences thanks to its closed-form expression between Gaussian distributions.
Frank Nielsen
doaj   +2 more sources

Entropy-Based Uncertainty-Aware Exploratory Factor Analysis for Ordinal Data: Application to Tramway Cultural Tourism Evaluation [PDF]

open access: yesEntropy
Background: Perception-based evaluation using Likert-scale survey data is widely applied in tourism and transport research, yet conventional point-valued encoding imposes artificial precision and overlooks ambiguity between adjacent ordinal categories ...
Jiaozi Pu, Yaxin Shi
doaj   +2 more sources

On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius

open access: yesEntropy, 2021
We generalize the Jensen-Shannon divergence and the Jensen-Shannon diversity index by considering a variational definition with respect to a generic mean, thereby extending the notion of Sibson’s information radius.
Frank Nielsen
doaj   +1 more source

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

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   +1 more source

Quantifying the Dissimilarity of Texts

open access: yesInformation, 2023
Quantifying the dissimilarity of two texts is an important aspect of a number of natural language processing tasks, including semantic information retrieval, topic classification, and document clustering.
Benjamin Shade, Eduardo G. Altmann
doaj   +1 more source

Refined Young Inequality and Its Application to Divergences

open access: yesEntropy, 2021
We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted
Shigeru Furuichi, Nicuşor Minculete
doaj   +1 more source

A method for continuous-range sequence analysis with Jensen-Shannon divergence

open access: yesPapers in Physics, 2021
Mutual Information (MI) is a useful Information Theory tool for the recognition of mutual dependence between data sets. Several methods have been developed fore estimation of MI when both data sets are of the discrete type or when both are of the ...
Miguel Ángel Ré   +1 more
doaj   +1 more source

On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means

open access: yesEntropy, 2019
The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution.
Frank Nielsen
doaj   +1 more source

RSSI Probability Density Functions Comparison Using Jensen-Shannon Divergence and Pearson Distribution

open access: yesTechnologies, 2021
The performance of a free-space optical (FSO) communications link suffers from the deleterious effects of weather conditions and atmospheric turbulence. In order to better estimate the reliability and availability of an FSO link, a suitable distribution ...
Antonios Lionis   +3 more
doaj   +1 more source

Some bounds for skewed α-Jensen-Shannon divergence

open access: yesResults in Applied Mathematics, 2019
Based on the skewed Kullback-Leibler divergence introduced in the natural language processing, we derive the upper and lower bounds on the skewed version of the Jensen-Shannon divergence and investigate properties of them.
Takuya Yamano
doaj   +1 more source

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