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State Space Modeling for Size Changes

In: Data Science for Nano Image Analysis

Author

Listed:
  • Chiwoo Park

    (Florida State University)

  • Yu Ding

    (Industrial & Systems Engineering)

Abstract

In situ transmission electron microscope is a promising instrument to explore for the nanoscale world, allowing motion pictures to be taken while nano objects are initiating, crystalizing, and morphing into different sizes and shapes. To enable in-process control of nanocrystal production, this technology innovation needs a data science solution addressing the capability of online tracking of the underlying stochastic process of nanocrystal growth. A dynamic, time-varying probability distribution is used to reflect the collective behavior of nanocrystal growth, rather than the change in size and shape of individual particles. Chapter 7 focuses on dynamic modeling of size changes, whereas Chap. 8 presents dynamic modeling for shape changes or for both size and shape changes. Since no known parametric density function can adequately describe the evolving distribution associated with a multi-stage growth process, a nonparametric approach is inevitable. As such, the online tracking problem discussed in this chapter becomes the data science problem of modeling, estimating, and updating of a nonparametric, time-varying probability density distribution.

Suggested Citation

  • Chiwoo Park & Yu Ding, 2021. "State Space Modeling for Size Changes," International Series in Operations Research & Management Science, in: Data Science for Nano Image Analysis, chapter 0, pages 177-213, Springer.
  • Handle: RePEc:spr:isochp:978-3-030-72822-9_7
    DOI: 10.1007/978-3-030-72822-9_7
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