**6. Conclusions**

In this study, a physics-based semi-analytical model, representing a rather simple but very efficient model, has been successfully combined with a corrective ANN into an hybrid prediction model to enhance its applicability range. Ultimately, low prediction errors were reached with respect to the desired high-fidelity solution, provided by a numerical FE simulation in the investigated use case of LSP. The high-fidelity numerical data could easily be replaced by experimental data, enabling correction towards empirical measurements. A number of prerequisites for adequately performing the correction task have been identified. Primarily, unique relationships between inputs and outputs need to exist, where redundancies in the data can be an indicator for non-unique relationships. These non-unique relationships may be compensated by using additional (salient) features identified via a consistent dimensionality analysis. Upon detectable uniqueness between inputs and outputs, low prediction errors are enabled. Essential findings for achieving a low prediction error in our specific problem domain are:


**Author Contributions:** Conceptualization, F.E.B., N.H. and B.K.; methodology, F.E.B., S.K., N.H. and B.K; validation, F.E.B. and S.K.; resources, N.H. and B.K.; data curation, F.E.B. and S.K.; formal analysis, F.E.B., S.K. and N.H.; software, F.E.B. and S.K.; writing—original draft preparation, F.E.B.; writing—review and editing, F.E.B., S.K., N.H., B.K.; visualization, F.E.B. and S.K.; supervision, N.H. and B.K.; project administration, B.K. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Data Availability Statement:** The data presented in this study are available upon reasonable request from the corresponding author.

**Acknowledgments:** The authors thank Yongxiang Hu from the Department of Mechanical Engineering of the Shanghai Jiao Tong University for providing the code of the semi-analytical model, published in [23].

**Conflicts of Interest:** The authors declare no conflict of interest.
