Exhausting the Information: Novel Bayesian Combination of Photometric Redshift PDFs [CEA]

http://arxiv.org/abs/1403.0044


The estimation and utilization of photometric redshift (photo-z) PDFs has become increasingly important over the last few years. Primarily this is because of the prominent role photo-z PDFs play in enabling photometric survey data to be used to make cosmological constraints, especially when compared to single estimates. Currently there exist a wide variety of algorithms to compute photo-z’s, each with their own strengths and weaknesses. In this paper, we present a novel and efficient Bayesian framework that combines the results from different photo-z techniques into a more powerful and robust estimate by maximizing the information from the photometric data. To demonstrate this we use a supervised machine learning technique based on prediction trees and a random forest, an unsupervised method based on self organizing maps and a random atlas, and a standard template fitting method but can be easily extend to other existing techniques. We use data from the DEEP2 survey and more than $10^6$ galaxies from the SDSS to explore different methods for combining the photo-z predictions from these techniques. In addition, we demonstrate that we can improve the accuracy of our final photo-z estimate over the best input technique, that the fraction of outliers is reduced, and that the identification of outliers is significantly improved when we apply a Na\”ive Bayes Classifier to this combined information. Furthermore, we introduce a new approach to explore how different techniques perform across the different areas within the information space supported by the photometric data. Our more robust and accurate photo-z PDFs will allow even more precise cosmological constraints to be made by using photometric surveys. These improvements are crucial as we move to analyze photometric data that push to or even past the limits of the available training data, which will be the case with the LSST.

Read this paper on arXiv…

M. Kind and R. Brunner
Tue, 4 Mar 14
60/61