Dimension reduction methods for reliability problems

In reliability problems in high dimensional spaces it is important to identify the essential structure of the problem. Which variables can be neglected and which not? Here statistical dimension reduction methods help to simplify the complexity of structures. FORM/SORM can be seen as early example of dimension reduction concepts. Since these approaches do not rely on the smoothness properties of the limit state functions, they can be applied also for problems with noise. Three such methods are described. Further an approach giving the SORM factor as a ratio of small surface areas is outlined.Non UBCUnreviewedThis collection contains the proceedings of ICASP12, the 12th International Conference on Applications of Statistics and Probability in Civil Engineering held in Vancouver, Canada on July 12-15, 2015. Abstracts were peer-reviewed and authors of accepted abstracts were invited to submit full papers. Also full papers were peer reviewed. The editor for this collection is Professor Terje Haukaas, Department of Civil Engineering, UBC Vancouver.Facult