Determinant and exchange algorithms for observation subset selection.

Broughton, Robert; Coope, Ian; Renaud, Peter; Tappenden, Rachael · IEEE Trans Image Process · 2010

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Abstract

In many applications involving image reconstruction, signal observation time is limited. This emphasizes the requirement for optimal observation selection algorithms. A selection criterion using the trace of a matrix forms the basis of two existing algorithms, the Sequential Backward Selection and Sequential Forward Selection algorithms. Neither is optimal although both generally perform well. Here we introduce a trace row-exchange criterion to further improve the quality of the selected subset and introduce another observation selection criterion based upon the determinant of a matrix.