Research

Statistical engineering research and advanced Tensor SPC

The September 2026 edition of Tensor-Structured Statistical Process Control develops structure-aware monitoring for high-dimensional process data and expands the framework with mathematical foundations, model configuration guidance, diagnostic localization, contribution analysis, and practical deployment interpretation.

Current Version

September 2026 Edition - v5

Version DOI: 10.5281/zenodo.22349917

The 138-page September 2026 monograph is embedded below for quick review and available as a direct PDF download.

Persistent all-versions DOI: 10.5281/zenodo.19701710

September 2026 Coverage

  • Tensor foundations, Tucker/HOSVD modeling, and expanded mathematical foundations
  • Practical sensor-mode and time-mode rank-selection guidance
  • Tensor T² and Tensor Q as complementary structure and residual monitoring statistics
  • Tensor T² contribution interpretation and Tensor Q residual localization
  • Sensor, time-region, and sensor-time contribution decomposition
  • Tensor SPC versus vectorized PCA, Monte Carlo, ARL, EWMA, and CUSUM studies
  • Practical diagnostic interpretation, investigation workflow, and deployment guidance