A Dirichlet Process Gaussian State Machine Model for Change Detection in Transient Processes Academic Article uri icon


  • 2018, 2018 American Statistical Association and the American Society for Quality. The ability to detect incipient and critical changes in real world processesessential for system integrity assuranceis currently impeded by the mismatch between the key assumption of stationarity underlying most change detection methods and the nonlinear and nonstationary (transient) dynamics of most real-world processes. The current approaches are slow or outright unable to detect qualitative changes in the behaviors that lead to anomalies. We present a Dirichlet process Gaussian state machine (DPGSM) model to represent dynamic intermittency, which is one of the most ubiquitous real-world transient behaviors. The DPGSM model treats a signal as a random walk among a Dirichlet process mixture of Gaussian clusters. Hypothesis tests and a numerical scheme based on this nonparametric representation were developed to detect subtle changes in the transient (intermittent) dynamics. Experimental investigations suggest that the DPGSM approach can consistently detect incipient, critical changes in intermittent signals some 502000 ms (2090%) ahead of competing methods in benchmark test cases as well as a variety of real-world applications, such as in alternation patterns (e.g., ragas) in a music piece, and in the vibration signals capturing the initiation of product defects in an ultraprecision manufacturing process. A supplementary file to this article, available online, includes a Matlab implementation of the presented DPGSM.

published proceedings


author list (cited authors)

  • Wang, Z., & Bukkapatnam, S.

citation count

  • 14

complete list of authors

  • Wang, Zimo||Bukkapatnam, Satish TS

publication date

  • July 2018