Abstract

Rare objects such as white dwarf+main sequence (WDMS) and cataclysmic variables (CVs) are very important for studying the evolution of the galaxy and the universe. The large amount of spectra obtained by the large sky surveys such as the Sloan Digital Sky Survey (SDSS) are rich sources of these rare objects. However, a considerable fraction of these spectra are low-S/N spectra. These low-S/N spectra contain similar useful information as the high-S/N spectra, and making better use of these spectra can significantly improve the chance of finding rare objects. Nevertheless, little research has been done on them. In this study we propose a novel method based on the combination of PCA (Principal Components Analysis) and CFSFDP (Clustering by Fast Search and Find of Density Peak) to search for rare objects from low-S/N spectra. The PCA first extracts principal components from high-S/N spectra to generate general feature spectra and reconstructs low-S/N stellar spectra with these general feature spectra. Then the CFSFDP calculates the Local Density ρ and the Distance δ of the reconstructed spectra, and select the outliers through the decision graph quickly and accurately. We first apply our method to spectra in SDSS stellar classification template library with adding white gaussian noise to search for rare objects (carbon stars, carbon white dwarfs, carbon_lines, white dwarfs and white dwarfs magnetic). Then we apply our method to observed spectra with different low-S/Ns from SDSS and compared with Lick-index+K-means and Support Vector Machines (SVM). The experimental results show that our method has a higher efficiency compared to other methods.

Highlights

  • Detecting and analyzing rare objects are important for studying the Galactic and extra-galactic structure and evolution

  • In order to verify the effectiveness of Principal component analysis (PCA) for reconstructing real low-signal-to-noise ratio (S/N) spectra, we apply it to the following two sets of spectra randomly selected from Sloan Digital Sky Survey (SDSS) DR14

  • In this study, we propose a new method of denoising the low-S/N spectra and discovering the rare objects from lowS/N spectra based on PCA and CFSFDP

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Summary

INTRODUCTION

Detecting and analyzing rare objects are important for studying the Galactic and extra-galactic structure and evolution. Multi-object spectroscopy has greatly improved the observation efficiency and large data sets have been obtained from wide-field spectroscopic surveys. Such large data sets provide us with more samples to search for rare objects. CVs are close binary systems that is composed of a white dwarf and a late-type main-sequence companion. They are central to our understanding of compact binary evolution. M. Wu et al.: Rare Object Search From Low-S/N Stellar Spectra in SDSS white dwarf+main sequence (WDMS) binaries, which is considered to be possible progenitors of Type Ia supernova and important for cosmological studies.

RELATED WORK
SPECTRA RECONSTRUCTION BASED ON PCA
CFSFDP
THE PROPOSED METHOD
RARE OBJECT SEARCH EXPERIMENT
SEARCHING FOR RARE OBJECTS FROM THE OBSERVED SPECTRA
CV S SEARCH VERIFICATION
Findings
CONCLUSIONS
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