Latent vector autoregressive modeling and feature analysis of high dimensional and noisy data from dynamic systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

7 Scopus Citations
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Detail(s)

Original languageEnglish
Article numbere17703
Journal / PublicationAICHE Journal
Volume68
Issue number6
Online published30 Mar 2022
Publication statusPublished - Jun 2022

Abstract

In this article, a novel latent vector autoregressive (LaVAR) modeling algorithm with a canonical correlation analysis (CCA) objective is proposed to estimate a fully-interacting reduced-dimensional dynamic model. This algorithm is an advancement of the dynamic inner canonical correlation analysis (DiCCA) algorithm, which builds univariate latent autoregressive models that are noninteracting. The dynamic latent variable scores of the proposed algorithm are guaranteed to be orthogonal with a descending order of predictability, retaining the properties of DiCCA. Further, the LaVAR-CCA algorithm solves multiple latent variables simultaneously with a statistical interpretation of the profile likelihood. The Lorenz oscillator with noisy measurements and an application case study on an industrial dataset are used to illustrate the superiority of the proposed algorithm. The reduced-dimensional latent dynamic model has numerous potential applications for prediction, feature analysis, and diagnosis of systems with rich measurements.

Research Area(s)

  • dynamic latent variable learning, latent system modeling, plant-wide feature analysis, predictable latent time series, profile likelihood, TIME-SERIES, CANONICAL CORRELATION, VARIABLE ANALYTICS, DIAGNOSIS