Name
Title | ||
|---|---|---|
An interval estimator for the unmixing of mixtures with set-based source descriptions |
Abstract | ||
|---|---|---|
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. We propose an interval estimator for the proportional contribution of a source (or ingredient) to a mixture.Sources (or ingredients) can be represented by means of sets.We present a computationally tractable optimization problem to compute an interval estimate in practice. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.ijar.2015.03.004 | Int. J. Approx. Reasoning |
Keywords | Field | DocType |
interval estimation,mathematical optimization,mixtures | Point estimation,Applied mathematics,Interval estimation,Minimum-variance unbiased estimator,Discrete mathematics,Mathematical optimization,Stein's unbiased risk estimate,Minimax estimator,Optimization problem,Mathematics,Estimator,Computation | Journal |
Volume | Issue | ISSN |
60 | C | 0888-613X |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Verwaeren | 1 | 50 | 5.45 |
| M. Rademaker | 2 | 8 | 1.08 |
| Bernard De Baets | 3 | 2994 | 300.39 |