Asymmetric biclustering with constrained von Mises-Fisher models

Kazuho Watanabe, Hsiang Yun Wu, Shigeo Takahashi, Issei Fujishiro

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

As a probability distribution on the high-dimensional sphere, the von Mises-Fisher (vMF) distribution is widely used for directional statistics and data analysis methods based on correlation. We consider a constrained vMF distribution for block modeling, which provides a probabilistic model of an asymmetric biclustering method that uses correlation as the similarity measure of data features. We derive the variational Bayesian inference algorithm for the mixture of the constrained vMF distributions. It is applied to a multivariate data visualization method implemented with enhanced parallel coordinate plots.

Original languageEnglish
Article number012018
JournalJournal of Physics: Conference Series
Volume699
Issue number1
DOIs
Publication statusPublished - 2016 Apr 6

Fingerprint

scientific visualization
inference
plots
statistics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Asymmetric biclustering with constrained von Mises-Fisher models. / Watanabe, Kazuho; Wu, Hsiang Yun; Takahashi, Shigeo; Fujishiro, Issei.

In: Journal of Physics: Conference Series, Vol. 699, No. 1, 012018, 06.04.2016.

Research output: Contribution to journalArticle

Watanabe, Kazuho ; Wu, Hsiang Yun ; Takahashi, Shigeo ; Fujishiro, Issei. / Asymmetric biclustering with constrained von Mises-Fisher models. In: Journal of Physics: Conference Series. 2016 ; Vol. 699, No. 1.
@article{a8cdca8d5c9d4926bf9a12fda0c08063,
title = "Asymmetric biclustering with constrained von Mises-Fisher models",
abstract = "As a probability distribution on the high-dimensional sphere, the von Mises-Fisher (vMF) distribution is widely used for directional statistics and data analysis methods based on correlation. We consider a constrained vMF distribution for block modeling, which provides a probabilistic model of an asymmetric biclustering method that uses correlation as the similarity measure of data features. We derive the variational Bayesian inference algorithm for the mixture of the constrained vMF distributions. It is applied to a multivariate data visualization method implemented with enhanced parallel coordinate plots.",
author = "Kazuho Watanabe and Wu, {Hsiang Yun} and Shigeo Takahashi and Issei Fujishiro",
year = "2016",
month = "4",
day = "6",
doi = "10.1088/1742-6596/699/1/012018",
language = "English",
volume = "699",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

TY - JOUR

T1 - Asymmetric biclustering with constrained von Mises-Fisher models

AU - Watanabe, Kazuho

AU - Wu, Hsiang Yun

AU - Takahashi, Shigeo

AU - Fujishiro, Issei

PY - 2016/4/6

Y1 - 2016/4/6

N2 - As a probability distribution on the high-dimensional sphere, the von Mises-Fisher (vMF) distribution is widely used for directional statistics and data analysis methods based on correlation. We consider a constrained vMF distribution for block modeling, which provides a probabilistic model of an asymmetric biclustering method that uses correlation as the similarity measure of data features. We derive the variational Bayesian inference algorithm for the mixture of the constrained vMF distributions. It is applied to a multivariate data visualization method implemented with enhanced parallel coordinate plots.

AB - As a probability distribution on the high-dimensional sphere, the von Mises-Fisher (vMF) distribution is widely used for directional statistics and data analysis methods based on correlation. We consider a constrained vMF distribution for block modeling, which provides a probabilistic model of an asymmetric biclustering method that uses correlation as the similarity measure of data features. We derive the variational Bayesian inference algorithm for the mixture of the constrained vMF distributions. It is applied to a multivariate data visualization method implemented with enhanced parallel coordinate plots.

UR - http://www.scopus.com/inward/record.url?scp=84964896798&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964896798&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/699/1/012018

DO - 10.1088/1742-6596/699/1/012018

M3 - Article

AN - SCOPUS:84964896798

VL - 699

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012018

ER -