Process data analytics via probabilistic latent variable models: A tutorial review

Z Ge - Industrial & Engineering Chemistry Research, 2018 - ACS Publications
Dimensionality reduction is important for the high-dimensional nature of data in the process
industry, which has made latent variable modeling methods popular in recent years. By …

Deterministic and probabilistic wind power forecasting using a variational Bayesian-based adaptive robust multi-kernel regression model

Y Wang, Q Hu, D Meng, P Zhu - Applied energy, 2017 - Elsevier
Accurate wind power forecasting has great practical significance for the safe and
economical operation of power systems. In reality, wind power data are recorded at high …

Robust functional regression for wind speed forecasting based on Sparse Bayesian learning

Y Wang, H Wang, D Srinivasan, Q Hu - Renewable Energy, 2019 - Elsevier
Accurate wind speed forecasting is helpful for reducing the instantaneous fluctuation of
voltage, and also has great practical significance on power dispatching and plan. There are …

Industrial virtual sensing for big process data based on parallelized nonlinear variational Bayesian factor regression

Z Yang, Z Ge - IEEE Transactions on Instrumentation and …, 2020 - ieeexplore.ieee.org
Virtual sensors are mathematical methods that describe the dependence of primary
variables on secondary variables. For the majority of industrial processes with particularly …

Bayesian robust PCA of incomplete data

J Luttinen, A Ilin, J Karhunen - Neural processing letters, 2012 - Springer
We present a probabilistic model for robust factor analysis and principal component analysis
in which the observation noise is modeled by Student-t distributions in order to reduce the …

Fast variational inference for Bayesian factor analysis in single and multi-study settings

B Hansen, A Avalos-Pacheco, M Russo… - … of Computational and …, 2024 - Taylor & Francis
Factors models are commonly used to analyze high-dimensional data in both single-study
and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte …

Mixture model selection via hierarchical BIC

J Zhao, L Jin, L Shi - Computational Statistics & Data Analysis, 2015 - Elsevier
The Bayesian information criterion (BIC) is one of the most popular criteria for model
selection in finite mixture models. However, it implausibly penalizes the complexity of each …

Varfa: A variational factor analysis framework for efficient bayesian learning analytics

Z Wang, Y Gu, A Lan, R Baraniuk - arXiv preprint arXiv:2005.13107, 2020 - arxiv.org
We propose VarFA, a variational inference factor analysis framework that extends existing
factor analysis models for educational data mining to efficiently output uncertainty estimation …

Fitting structural equation models via variational approximations

KD Dang, L Maestrini - Structural Equation Modeling: A …, 2022 - Taylor & Francis
Structural equation models are commonly used to capture the relationship between sets of
observed and unobservable variables. Traditionally these models are fitted using frequentist …

Multimode process data modeling: A Dirichlet process mixture model based Bayesian robust factor analyzer approach

J Zhu, Z Ge, Z Song - Chemometrics and Intelligent Laboratory Systems, 2015 - Elsevier
In this study, a novel Bayesian robust mixture factor analyzer (BRMFA) is proposed to deal
with the robust multimode process modeling problem. Traditional factor analyzers with …