Dimensionality reduction for binary data through the projection of natural parameters

AJ Landgraf, Y Lee - Journal of Multivariate Analysis, 2020 - Elsevier
Principal component analysis (PCA) for binary data, known as logistic PCA, has become a
popular alternative to dimensionality reduction of binary data. It is motivated as an extension …

A generalized linear model for principal component analysis of binary data

AI Schein, LK Saul, LH Ungar - International Workshop on …, 2003 - proceedings.mlr.press
We investigate a generalized linear model for dimensionality reduction of binary data. The
model is related to principal component analysis (PCA) in the same way that logistic …

[HTML][HTML] Sparse logistic principal components analysis for binary data

S Lee, JZ Huang, J Hu - The annals of applied statistics, 2010 - ncbi.nlm.nih.gov
We develop a new principal components analysis (PCA) type dimension reduction method
for binary data. Different from the standard PCA which is defined on the observed data, the …

Generalized principal component analysis: Projection of saturated model parameters

AJ Landgraf, Y Lee - Technometrics, 2020 - Taylor & Francis
Principal component analysis (PCA) is very useful for a wide variety of data analysis tasks,
but its implicit connection to the Gaussian distribution can be undesirable for discrete data …

Bayesian exponential family PCA

S Mohamed, Z Ghahramani… - Advances in neural …, 2008 - proceedings.neurips.cc
Abstract Principal Components Analysis (PCA) has become established as one of the key
tools for dimensionality reduction when dealing with real valued data. Approaches such as …

[图书][B] Nonlinear principal component analysis and its applications

Y Mori, M Kuroda, N Makino - 2016 - Springer
As the data size increases and the data structure becomes increasingly complex,
considering the nonlinearity, mixed measurement level data, simultaneous analysis and …

[图书][B] Advances in principal component analysis: research and development

GR Naik - 2017 - Springer
Principal component analysis (PCA) is one of the widely used matrix factorization
techniques for dimensionality reduction and revealing hidden factors that underlie sets of …

On consistency and sparsity for principal components analysis in high dimensions

IM Johnstone, AY Lu - Journal of the American Statistical …, 2009 - Taylor & Francis
Principal components analysis (PCA) is a classic method for the reduction of dimensionality
of data in the form of n observations (or cases) of a vector with p variables. Contemporary …

A generalization of principal components analysis to the exponential family

M Collins, S Dasgupta… - Advances in neural …, 2001 - proceedings.neurips.cc
Principal component analysis (PCA) is a commonly applied technique for dimensionality
reduction. PCA implicitly minimizes a squared loss function, which may be inappropriate for …

Single-pass PCA of large high-dimensional data

W Yu, Y Gu, J Li, S Liu, Y Li - arXiv preprint arXiv:1704.07669, 2017 - arxiv.org
Principal component analysis (PCA) is a fundamental dimension reduction tool in statistics
and machine learning. For large and high-dimensional data, computing the PCA (ie, the …