  In course of this work, we examine the process of plastic profile extrusion,
where a polymer melt is shaped inside the so-called extrusion die and fixed in
its shape by solidification in the downstream calibration unit. More precise,
we focus on the development of a data-driven reduced order model (ROM) for the
purpose of predicting temperature distributions within the extruded profiles
inside the calibration unit. Therein, the ROM functions as a first step to our
overall goal of prediction based process control in order to avoid undesired
warpage and damages of the final product.
