A column-exchange modification to greedy volume-maximization subset selection achieves the same bounds on the pseudoinverse representation error as existing methods but with faster runtime for n much larger than m, plus a new upper bound on the number of exchanges needed.
Dis- crete signal processing on graphs: Sampling theory.IEEE transactions on signal processing, 63(24):6510–6523, 2015
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Subset selection for matrices by column exchange
A column-exchange modification to greedy volume-maximization subset selection achieves the same bounds on the pseudoinverse representation error as existing methods but with faster runtime for n much larger than m, plus a new upper bound on the number of exchanges needed.