Improving Photometric Redshift Estimation for Cosmology with LSST using Bayesian Neural Networks

Fuente: arXiv
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Autori principali: Jones, Evan, Do, Tuan, Boscoe, Bernie, Singal, Jack, Wan, Yujie, Nguyen, Zooey
Natura: Preprint
Pubblicazione: 2023
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author Jones, Evan
Do, Tuan
Boscoe, Bernie
Singal, Jack
Wan, Yujie
Nguyen, Zooey
author_facet Jones, Evan
Do, Tuan
Boscoe, Bernie
Singal, Jack
Wan, Yujie
Nguyen, Zooey
contents We present results exploring the role that probabilistic deep learning models can play in cosmology from large-scale astronomical surveys through photometric redshift (photo-z) estimation. Photo-z uncertainty estimates are critical for the science goals of upcoming large-scale surveys such as LSST, however common machine learning methods typically provide only point estimates and lack uncertainties on predictions. We turn to Bayesian neural networks (BNNs) as a promising way to provide accurate predictions of redshift values with uncertainty estimates. We have compiled a galaxy data set from the Hyper Suprime-Cam Survey with grizy photometry, which is designed to be a smaller scale version of large surveys like LSST. We use this data set to investigate the performance of a neural network (NN) and a probabilistic BNN for photo-z estimation and evaluate their performance with respect to LSST photo-z science requirements. We also examine the utility of photo-z uncertainties as a means to reduce catastrophic outlier estimates. The BNN outputs the estimate in the form of a Gaussian probability distribution. We use the mean and standard deviation as the redshift estimate and uncertainty. We find that the BNN can produce accurate uncertainties. Using a coverage test, we find excellent agreement with expectation -- 67.2$\%$ of galaxies between $0 < 2.5$ have 1-$σ$ uncertainties that cover the spectroscopic value. We also include a comparison to alternative machine learning models using the same data. We find the BNN meets two out of three of the LSST photo-z science requirements in the range $0 < z < 2.5$.
format Preprint
id arxiv_https___arxiv_org_abs_2306_13179
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Improving Photometric Redshift Estimation for Cosmology with LSST using Bayesian Neural Networks
Jones, Evan
Do, Tuan
Boscoe, Bernie
Singal, Jack
Wan, Yujie
Nguyen, Zooey
Cosmology and Nongalactic Astrophysics
1
We present results exploring the role that probabilistic deep learning models can play in cosmology from large-scale astronomical surveys through photometric redshift (photo-z) estimation. Photo-z uncertainty estimates are critical for the science goals of upcoming large-scale surveys such as LSST, however common machine learning methods typically provide only point estimates and lack uncertainties on predictions. We turn to Bayesian neural networks (BNNs) as a promising way to provide accurate predictions of redshift values with uncertainty estimates. We have compiled a galaxy data set from the Hyper Suprime-Cam Survey with grizy photometry, which is designed to be a smaller scale version of large surveys like LSST. We use this data set to investigate the performance of a neural network (NN) and a probabilistic BNN for photo-z estimation and evaluate their performance with respect to LSST photo-z science requirements. We also examine the utility of photo-z uncertainties as a means to reduce catastrophic outlier estimates. The BNN outputs the estimate in the form of a Gaussian probability distribution. We use the mean and standard deviation as the redshift estimate and uncertainty. We find that the BNN can produce accurate uncertainties. Using a coverage test, we find excellent agreement with expectation -- 67.2$\%$ of galaxies between $0 < 2.5$ have 1-$σ$ uncertainties that cover the spectroscopic value. We also include a comparison to alternative machine learning models using the same data. We find the BNN meets two out of three of the LSST photo-z science requirements in the range $0 < z < 2.5$.
title Improving Photometric Redshift Estimation for Cosmology with LSST using Bayesian Neural Networks
topic Cosmology and Nongalactic Astrophysics
1
url https://arxiv.org/abs/2306.13179