State Space Modeling for Size Changes

Chiwoo Park () and Yu Ding ()
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Chiwoo Park: Florida State University
Yu Ding: Industrial & Systems Engineering

Chapter Chapter 7 in Data Science for Nano Image Analysis, 2021, pp 177-213 from Springer

Abstract: 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.

Date: 2021
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DOI: 10.1007/978-3-030-72822-9_7

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