Estimation of Photometric Redshifts. II. Identification of Out-of-distribution Data with Neural Networks

In this study, we propose a three-stage training approach of neural networks for both photometric redshift estimation of galaxies and detection of out-of-distribution (OOD) objects. Our approach comprises supervised and unsupervised learning, which enables using unlabeled (UL) data for OOD detection in training the networks. Employing the UL data, which is the data set most similar to the real-world data, ensures a reliable usage of the trained model in practice. We quantitatively assess the model performance of photometric redshift estimation and OOD detection using in-distribution (ID) galaxies and labeled OOD (LOOD) samples such as stars and quasars. Our model successfully produces photometric redshifts matched with spectroscopic redshifts for the ID samples and identifies well the LOOD objects with more than 98% accuracy. Although quantitative assessment with the UL samples is impracticable owing to the lack of labels and spectroscopic redshifts, we also find that our model successfully estimates reasonable photometric redshifts for ID-like UL samples and filter OOD-like UL objects. (3)