Abstract

Classification in astrophysics is a fundamental process, especially when it is necessary to understand several aspects of the evolution and distribution of the objects. Over an astronomical image, we need to discern between stars and galaxies and to determine the morphological type for each galaxy. The spectral classification of stars provides important information about stellar physical parameters like temperature and allows us to determine their distance; with this information, it is possible to evaluate other parameters like their physical size and the real 3D distribution of each type of objects. In this work, we present the application of two Artificial Intelligence (AI) techniques for the automatic spectral classification of stellar spectra obtained from the first data release of LAMOST and also to the more recent release (DR5). Two types of Artificial Neural Networks were selected: a feedforward neural network trained according to the Levenberg–Marquardt Optimization Algorithm (LMA) and a Generalized Regression Neural Network (GRNN). During the study, we used four datasets: the first was obtained from the LAMOST first data release and consisted of 50731 spectra with signal-to-noise ratio above 20, the second dataset was obtained from the Indo-US spectral database (1273 spectra), the third one (the STELIB spectral database) was used as an independent test dataset, and the fourth dataset was obtained from LAMOST DR5 and consisted of 17990 stellar spectra with signal-to-noise ratio above 20 also. The results in the first part of the work, when the autoconsistency of the DR1 data was probed, showed some problems in the spectral classification available in LAMOST DR1. In order to accomplish a better classification, we made a two-step process: first the LAMOST and STELIB datasets were classified by the two IA techniques trained with the entire Indo-US dataset. The resulted classification allows us to discriminate at least three groups: the first group contained O and B type stars, whereas the second contained A, F, and G type stars, and finally, the third group contained K and M type stars. The second step consisted of a refinement of the classification, but this time for every group, the most relevant indices were selected. We compared the accuracy reached by the two techniques when they are trained and tested using LAMOST spectra and their published classification and the resultant classifications obtained with the ANNs trained with the Indo-US dataset and applied over the STELIB and LAMOST spectra. Finally, in the first part, we compared the LAMOST DR1 classification with the classification obtained by the application of the NNs GRNNs and LMA trained with the Indo-US dataset. In the second part of the paper, we analyze a set of 17990 stellar spectra from LAMOST DR5 and the very significant improvement in the spectral classification available in DR5 database was verified. For this, we trained ANNs using the k-fold cross-validation technique with k = 5.

Highlights

  • Nowadays, the huge quantity of astronomical data coming from different survey projects makes the traditional stellar classification process unsuitable to handle; the major part of the spectra collected by these surveys presents a signal-to-noise ratio (S : N) very low. e Large Sky Area Multiobject Fibre Spectroscopic Telescope (LAMOST) is a Mathematical Problems in Engineering project planned to conduct a 5-year spectroscopic survey [1, 2]; LAMOST will be the telescope with the highest rate of spectral data acquisition

  • We applied the Generalized Regression Neural Network (GRNN) and the Levenberg–Marquardt Optimization Algorithm (LMA) neural networks techniques to the dataset obtained from LAMOST Data Release 1 (DR1) database in order to analyze the selfconsistency of the classification presented in the LAMOST first data release. e LAMOST DR1 dataset was randomly divided into 5 equal subsets, 4 with size 10,146 × 36 and one more with size 10,147 × 36

  • We have presented the application of two Artificial Neural Networks (ANNs) techniques: a Generalized Regression Neural Network and a feedforward neural network; these two ANNs techniques were used to analyze the LAMOST stellar classification

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Summary

Introduction

The huge quantity of astronomical data coming from different survey projects makes the traditional stellar classification process unsuitable to handle; the major part of the spectra collected by these surveys presents a signal-to-noise ratio (S : N) very low. e Large Sky Area Multiobject Fibre Spectroscopic Telescope (LAMOST) is a Mathematical Problems in Engineering project planned to conduct a 5-year spectroscopic survey [1, 2]; LAMOST will be the telescope with the highest rate of spectral data acquisition. Powerful methods have been developed that allow the determination of atmospheric physical parameters from stellar spectra Two examples of such algorithms are the matrix inversion for spectral synthesis algorithm (MATISSE) ([17]) and the University of Lyon Spectroscopic analysis Software (ULySS) [18]. ULySS is a “full spectrum fitting package” [18] that was developed with the purpose of analyzing stellar populations in galaxies and can be used to determine stellar atmospheric parameters It is based in a library of synthetic or observed spectra but the effect of noise on the analyzed spectra is not evaluated. E 1273 stars cover all the spectral types, but near 30% of these stellar spectra do not have the full spectral coverage From this library, we used only 1130; 143 spectra were leaved aside because the gaps in the spectrum affected many indices. The LAMOST and Indo-US spectra cover a wider spectral region, the set of indices defined and measured in both datasets are within the spectral region between 3900 and 6800 A , where the indices were defined (in a future work, we will analyze the behavior of other indices defined in the near IR region)

Artificial Neural Networks
Classification Procedure and Results
Conclusions
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