基于LASSO算法的恒星α元素丰度估计方法研究

主要研究了一种新的基于LASSO算法的恒星α元素丰度估计方法。海量恒星的α元素(O, Mg, Si, Ca 和Ti)丰度信息将有助于我们了解银河系的演化进程。但目前从中低分辨率光谱中确定α元素丰度的方法主要是模板匹配法，但该方法算法复杂，优化参数较为困难且对噪声敏感，因此有必要研究新的方法。实验结果显示，LASSO算法对ELODIE光谱的α丰度的估计精度为0.003(0.078)dex。为验证光谱分辨率变化对LASSO算法结果的影响，我们首先用ELODIE光谱通过高斯卷积得到了分辨率为42 000, 21 000, 10 500, 4 200和2 100的光谱，然后使用LASSO算法估计α元素丰度，精度分别为0.003 3(0.078)dex，-0.05(0.059)dex，-0.007(0.060)dex，0.008 0(0.069)dex和-0.004 5(0.067)dex。上述结果证明LASSO算法对分辨率变化不敏感。为验证LASSO算法对信噪比变化的鲁棒性，使用ELODIE光谱分别构造了信噪比为30, 25, 20, 15和5的光谱。LASSO算法在上述数据集上的精度分别为-0.002(0.076)dex, -0.09(0.073)dex, 0.003 6(0.075)dex, 0.007 6(0.078)dex 和-0.009(0.08)dex，因而LASSO算法对信噪比变化不敏感。因此，LASSO算法适用于低分辨率低信噪比的LAMOST和SDSS光谱。LASSO算法在SDSS光谱上的估计精度为0.003 7(0.097)dex，而在球状星团和疏散星团成员星上的结果显示LASSO算法给出的丰度与文献给出α丰度值误差在1σ以内。因此，LASSO算法能够用于估计恒星的α元素丰度。

Stellar Alpha Element Abundance Estimation Using LASSO Algorithm

In this paper,a new method based on LASSO algorithm is studied for the estimation of stellar alpha element abun-dance.The information of alpha elements (O,Mg,Ca,Si,and Ti)of massive stars will help us to better understand the evolu-tion of the galaxy.Presently the main method of determining the alpha element abundances from the low resolution spectra is the template matching method.However,it is difficult for us to optimize the algorithm parameters and the algorithm is sensitive to the noise.Thus,it is necessary to study the new method to determine the abundance.The experimental results show that the ac-curacy of LASSO algorithm on ELODIE spectra is 0.003 (0.078)dex.To explore the impact of the spectral resolution variation, we use ELODIE spectra to generate the spectral data sets with following resolutions:42 000,21 000,10 500,4 200 and 2 100 by using the Gaussian convolution.The results of the LASSO algorithm on these data sets are 0.003 3 (0.078)dex,-0.05 (0.059)dex,-0.007 (0.069)dex and -0.004 5 (0.067)dex,respectively.These results show that the LASSO algorithm is not sensitive to the change of the resolution.In order to verify the robustness of LASSO algorithm against the change of SNRs, we use ELODIE to generate the spectral data sets with following SNRs:30,25,20,15 and 5.The results of LASSO algorithm on the above data sets are:-0.002 (0.076)dex,-0.090 (0.073)dex,0.003 6 (0.075)dex,0.007 6 (0.078)dex and-0.009 (0.080)dex,respectively.Thus,LASSO algorithm is not sensitive to the change of SNR.Therefore,the LASSO al-gorithm is suitable for low resolution and low SNR spectra such as LAMOST and SDSS spectra.The accuracy of Lasso algo-rithm on the SDSS spectra is 0.003 7 (0.097)dex,and the results of LASSO on globular and open clusters show good agreement with literature values (within 1σ).Therefore,the LASSO algorithm can be used to estimate the alpha element abundances of stars.