Fast redshift clustering with the Baire (ultra) metric

Details Fast redshift clustering with the Baire (ultra) metric Fast redshift clustering with the Baire (ultra) metric

2011-04-20

arxiv.org/abs/1104.4063v1

Computer Science

Information Retrieval

14 pages, 6 figures

Scientific paper

The Baire metric induces an ultrametric on a dataset and is of linear computational complexity, contrasted with the standard quadratic time agglomerative hierarchical clustering algorithm. We apply the Baire distance to spectrometric and photometric redshifts from the Sloan Digital Sky Survey using, in this work, about half a million astronomical objects. We want to know how well the (more cos\ tly to determine) spectrometric redshifts can predict the (more easily obtained) photometric redshifts, i.e. we seek to regress the spectrometric on the photometric redshifts, and we develop a clusterwise nearest neighbor regression procedure for this.

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