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Most engineering models contain several parameters, and the map from inputparameters to model output can be viewed as a multivariate function. An activesubspace is a low-dimensional subspace of the space of inputs that explains themajority of variability in the function. Here we describe a quick check for adominant one-dimensional active subspace based on computing a linearapproximation of the function. The visualization tool presented here is closelyrelated to regression graphics, though we avoid the statistical interpretationof the model. This document will be part of a larger review paper on activesubspace methods.

A quick-and-dirty check for a one-dimensional active subspace