title: Determinant and exchange algorithms for observation subset selection.
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.
authors.affiliation: Mathematics and Statistics Department, University of Canterbury, Christchurch, New Zealand.
authors.forename: Robert
authors.initials: R
authors.lastname: Broughton
authors.forename: Ian
authors.initials: I
authors.lastname: Coope
authors.forename: Peter
authors.initials: P
authors.lastname: Renaud
authors.forename: Rachael
authors.initials: R
authors.lastname: Tappenden