Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On a Generalization of the Jensen–Shannon Divergence and the Jensen–Shannon Centroid
View through CrossRef
The Jensen–Shannon divergence is a renown bounded symmetrization of the Kullback–Leibler divergence which does not require probability densities to have matching supports. In this paper, we introduce a vector-skew generalization of the scalar α -Jensen–Bregman divergences and derive thereof the vector-skew α -Jensen–Shannon divergences. We prove that the vector-skew α -Jensen–Shannon divergences are f-divergences and study the properties of these novel divergences. Finally, we report an iterative algorithm to numerically compute the Jensen–Shannon-type centroids for a set of probability densities belonging to a mixture family: This includes the case of the Jensen–Shannon centroid of a set of categorical distributions or normalized histograms.
Title: On a Generalization of the Jensen–Shannon Divergence and the Jensen–Shannon Centroid
Description:
The Jensen–Shannon divergence is a renown bounded symmetrization of the Kullback–Leibler divergence which does not require probability densities to have matching supports.
In this paper, we introduce a vector-skew generalization of the scalar α -Jensen–Bregman divergences and derive thereof the vector-skew α -Jensen–Shannon divergences.
We prove that the vector-skew α -Jensen–Shannon divergences are f-divergences and study the properties of these novel divergences.
Finally, we report an iterative algorithm to numerically compute the Jensen–Shannon-type centroids for a set of probability densities belonging to a mixture family: This includes the case of the Jensen–Shannon centroid of a set of categorical distributions or normalized histograms.
Related Results
Fast Proxy Centers for the Jeffreys Centroid: The Jeffreys–Fisher–Rao Center and the Gauss–Bregman Inductive Center
Fast Proxy Centers for the Jeffreys Centroid: The Jeffreys–Fisher–Rao Center and the Gauss–Bregman Inductive Center
The symmetric Kullback–Leibler centroid, also called the Jeffreys centroid, of a set of mutually absolutely continuous probability distributions on a measure space provides a notio...
Roles for Spectral Centroid and Other Factors in Determining "Blended" Instrument Pairings in Orchestration
Roles for Spectral Centroid and Other Factors in Determining "Blended" Instrument Pairings in Orchestration
Three perceptual experiments using natural-sounding instrument tones arranged in concurrently sounding pairs investigate a problem of orchestration: what factors determine selectio...
Jens Jensen
Jens Jensen
Distributed by The Video Project, PO Box 411376, San Francisco, CA 94141-1376; 800-475-2638Produced by Carey Lundin and Mark FrazelDirected by Carey Lundin2014, DVD, color, 55 min....
An assessment of the niche centroid hypothesis: Pteropus lylei (Chiroptera)
An assessment of the niche centroid hypothesis: Pteropus lylei (Chiroptera)
AbstractRecent ecological theories propose that species reach their highest abundance and genetic diversity in the center of their ecological niche and decline toward the edges. We...
Predicting branch to bole volume scaling relationships from varying centroids of tree bole volume
Predicting branch to bole volume scaling relationships from varying centroids of tree bole volume
A novel “varying-centroid” method is presented for predicting whole-tree, aboveground stem volume (i.e., bole plus branch volume) to bole volume ratios from changes in the centroid...
Effects and mechanisms of tidal forcing on the frontal divergence/convergence of the Changjiang River plume
Effects and mechanisms of tidal forcing on the frontal divergence/convergence of the Changjiang River plume
Ocean frontal regions are pivotal for physical and biogeochemical processes, particularly in estuarine and coastal regions, where their dynamic processes are often associated with ...
The kinematics modeling and parameter optimization of six-wheel lunar exploration robot
The kinematics modeling and parameter optimization of six-wheel lunar exploration robot
This article proposes a six-wheel lunar exploration robot which will move on the lunar surface. It is known that lunar surface is mostly rugged. When the six-wheel lunar exploratio...
Performance Evaluation of Radar Range-Bearing Centroid Processing Using Time Series Analysis
Performance Evaluation of Radar Range-Bearing Centroid Processing Using Time Series Analysis
The paper deals with a problem of performance evaluation of the range-bearing centroid processing for a surveillance radar. First, we review several techniques for centroid process...