Multi-dimensional parameter-space partitioning of spatio-temporal simulation ensembles

Numerical simulations are commonly used to understand the parameter dependence of given spatiotemporal phenomena. Sampling a multi-dimensional parameter space and running the respective simulations leads to an ensemble of a large number of spatio-temporal simulation runs. A main objective for analyzing the ensemble is to partition (or segment) the multi-dimensional parameter space into connected regions of simulation runs with similar behavior. To facilitate such an analysis, we propose a novel visualization method for multi-dimensional parameter-space partitions. Our visualization is based on the concept of a hyper-slicer, which allows for undistorted views of the parameter-space segments' extent and transitions. For navigation within the parameter space, interactions with a 2D embedding of the parameter-space samples, including their segment memberships, are supported. Parameter-space partitions are generated in a semi-automatic fashion by analyzing the similarity space of the ensemble's simulation runs. Clusters of similar simulation runs induce the segments of the parameter-space partition. We link the parameter-space partitioning visualizations to similarity-space visualizations of the ensemble's simulation runs and embed them into an interactive visual analysis tool that supports the analysis of all facets of the spatio-temporal simulation ensemble targeted at the overarching goal of analyzing the parameter-space partitioning. The partitioning can then be visually analyzed and interactively refined. We compared our approach to alternative methods and evaluated it with experts within case studies from three different domains. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This study proposes a novel visualization method for multi-dimensional parameter-space partitions, which generates parameter-space partitions by analyzing the similarity space of the ensemble's simulation runs and links them to similarity-space visualizations of the ensemble's simulation runs. With this method, parameter-space partitioning can be visually analyzed and interactively refined.