AI Chat AI Image Generator AI Video Text to Speech

A mixture of ellipsoidal densities for 3D data modelling

09/21/2023

∙

by Denis Brazey, et al.

∙

∙

In this paper, we propose a new ellipsoidal mixture model. This model is based a new probability density function belonging to the family of elliptical distributions and designed to model points spread around an ellipsoidal surface. Then, we consider a mixture model based on this density, whose parameters are estimated with the help of an EM algorithm. The properties of the estimates are studied theoretically and empirically. The algorithm is compared to a state of the art ellipse fitting method and experimented on 3D data.

Denis Brazey
1 publication
Antoine Godichon-Baggioni
13 publications
Bruno Portier
4 publications

page 4

page 12

page 14

research

∙ 07/03/2013

An Efficient Model Selection for Gaussian Mixture Model in a Bayesian Framework

In order to cluster or partition data, we often use Expectation-and-Maxi...

0 Ji Won Yoon, et al. ∙

research

∙ 11/12/2014

On Coarse Graining of Information and Its Application to Pattern Recognition

We propose a method based on finite mixture models for classifying a set...

0 Ali Ghaderi, et al. ∙

research

∙ 02/25/2013

On learning parametric-output HMMs

We present a novel approach for learning an HMM whose outputs are distri...

0 Aryeh Kontorovich, et al. ∙

research

∙ 01/20/2019

Fitting A Mixture Distribution to Data: Tutorial

This paper is a step-by-step tutorial for fitting a mixture distribution...

0 Benyamin Ghojogh, et al. ∙

research

∙ 07/11/2017

Efficient mixture model for clustering of sparse high dimensional binary data

In this paper we propose a mixture model, SparseMix, for clustering of s...

0 Marek Śmieja, et al. ∙

research

∙ 08/02/2018

Dirichlet Mixture Model based VQ Performance Prediction for Line Spectral Frequency

In this paper, we continue our previous work on the Dirichlet mixture mo...

0 Zhanyu Ma, et al. ∙

research

∙ 12/21/2022

A Bayesian Mixture Model Approach to Expected Possession Values in Rugby League

The aim of this study was to improve previous zonal approaches to expect...

0 Thomas Sawczuk, et al. ∙