Results 11 to 20 of about 125,567 (253)

Deterministic Approximate EM Algorithm; Application to the Riemann Approximation EM and the Tempered EM

open access: yesAlgorithms, 2022
The Expectation Maximisation (EM) algorithm is widely used to optimise non-convex likelihood functions with latent variables. Many authors modified its simple design to fit more specific situations.
Thomas Lartigue   +2 more
doaj   +1 more source

A Simple Approximation Method for the Fisher–Rao Distance between Multivariate Normal Distributions

open access: yesEntropy, 2023
We present a simple method to approximate the Fisher–Rao distance between multivariate normal distributions based on discretizing curves joining normal distributions and approximating the Fisher–Rao distances between successive nearby normal ...
Frank Nielsen
doaj   +1 more source

Satisfiability with Exponential Families [PDF]

open access: yes, 2007
Fix a set S ⊆ {0, 1}* of exponential size, e.g. |S ∩ {0, 1}n| ∈ Ω(αn), α > 1. The S-SAT problem asks whether a propositional formula F over variables v1, . . . , vn has a satisfying assignment (v1, . . . , vn) ∈ {0, 1}n ∩ S. Our interest is in determining the complexity of S-SAT.
Dominik Scheder, Philipp Zumstein
openaire   +1 more source

Extended Divergence on a Foliation by Deformed Probability Simplexes

open access: yesEntropy, 2022
This study considers a new decomposition of an extended divergence on a foliation by deformed probability simplexes from the information geometry perspective.
Keiko Uohashi
doaj   +1 more source

The modified beta transmuted family of distributions with applications using the exponential distribution

open access: yesPLoS ONE, 2021
In this work, a new family of distributions, which extends the Beta transmuted family, was obtained, called the Modified Beta Transmuted Family of distribution.
Phillip Oluwatobi Awodutire   +3 more
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

$q$-Exponential Families [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2004
We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integers. The essential features of exponential families are preserved, including the exponential formula relating the deck enumerator and the hand enumerator.
openaire   +3 more sources

Statistical Properties and Applications of the Exponentiated Chen-G Family of Distributions: Exponential Distribution as a Baseline Distribution

open access: yesAustrian Journal of Statistics, 2022
In this work, the Exponentiated Chen-G family of distributions is studied by generalizing the Chen-G family of distributions through the introduction of an additional shape parameter. The mixture properties of the derived family are studied.
Phillip Awodutire
doaj   +1 more source

Simple Exponential Family PCA [PDF]

open access: yesIEEE Transactions on Neural Networks and Learning Systems, 2013
Principal component analysis (PCA) is a widely used model for dimensionality reduction. In this paper, we address the problem of determining the intrinsic dimensionality of a general type data population by selecting the number of principal components for a generalized PCA model.
Jun Li 0010, Dacheng Tao
openaire   +3 more sources

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