Variational inference for probabilistic Poisson PCA

DOI10.1214/18-AOAS1177zbMath1412.62194arXiv1703.06633MaRDI QIDQ1728678

Julien Chiquet, Mahendra Mariadassou, Stephane Robin

Publication date: 25 February 2019

Published in: The Annals of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06633

zbMATH Keywords

count dataprobabilistic PCAvariational inferencePoisson-lognormal modelmultivariate exponential family framework

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to environmental and related topics (62P12)

Related Items (7)

A literature review of (Sparse) exponential family PCA ⋮ Model-Based Microbiome Data Ordination: A Variational Approximation Approach ⋮ Poisson PCA: Poisson measurement error corrected PCA, with application to microbiome data ⋮ On some limitations of probabilistic models for dimension‐reduction: Illustration in the case of probabilistic formulations of partial least squares ⋮ Low-rank model with covariates for count data with missing values ⋮ Anomaly and novelty detection for robust semi-supervised learning ⋮ Greedy clustering of count data through a mixture of multinomial PCA

Uses Software

• R
• ggplot2
• nloptr
• NLopt
• PMA
• GitHub
• ePCA
• GPSeq

Cites Work

• A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis
• Estimating the dimension of a model
• \(e\)PCA: high dimensional exponential family PCA
• Poisson noise reduction with non-local PCA
• A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
• Graphical Models, Exponential Families, and Variational Inference
• Probabilistic Principal Component Analysis
• The multivariate Poisson-log normal distribution
• EM Algorithm for Mixed Poisson and Other Discrete Distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variational inference for probabilistic Poisson PCA