An interval estimator for the unmixing of mixtures with set-based source descriptions

作者:Verwaeren Jan*; Rademaker Michael; De Baets Bernard
来源:International Journal of Approximate Reasoning, 2015, 60: 71-92.
DOI:10.1016/j.ijar.2015.03.004

摘要

The unmixing of mixtures, i.e., the computation of the proportional contribution of a set of sources to a mixture, is of interest to a multitude of applied research disciplines. We consider an unmixing problem in which a mixture is represented by a point in R-n, and the sources are represented by subsets of R-n. We argue that the proportional contribution of a source of interest to that mixture can naturally be estimated by an interval estimator, as opposed to a more traditional point estimator. An interval estimator is proposed and it is shown that this estimator can be computed efficiently in a variety of cases by solving an optimization problem.

  • 出版日期2015-5

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