Archetypal analysis of galaxy spectra

Abstract

Archetypal analysis represents each individual member of a set of data vectors as a mixture (a constrained linear combination) of the pure types or archetypes of the data set. The archetypes are themselves required to be mixtures of the data vectors. Archetypal analysis may be particularly useful in analysing data sets comprising galaxy spectra, since each spectrum is, presumably, a superposition of the emission from the various stellar populations, nebular emissions and nuclear activity making up that galaxy, and each of these emission sources corresponds to a potential archetype of the entire data set. We demonstrate archetypal analysis using sets of composite synthetic galaxy spectra, showing that the method promises to be an effective and efficient way to classify spectra. We show that archetypal analysis is robust in the presence of various types of noise.

6 pages, 5 figures, 1 style-file. Accepted for publication by MNRAS

References in corpus (9)

• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• A standard stellar library for evolutionary synthesis: I. Calibration of theoretical spectra
• A standard stellar library for evolutionary synthesis: II. The M dwarf extension
• Massive Lossless Data Compression and Multiple Parameter Estimation from Galaxy Spectra
• Recovering Physical Parameters from Galaxy Spectra Using MOPED
• Principal Component Analysis Of Synthetic Galaxy Spectra
• Objective Classification of Galaxy Spectra using the Information Bottleneck Method
• The star formation history as a function of type: constraints from galaxy counts
• Compression and Classification Methods for Galaxy Spectra in Large Redshift Surveys

Cited by in corpus (9)

• The star formation history of Seyfert 2 nuclei
• Automatic unsupervised classification of all SDSS/DR7 galaxy spectra
• Functional archetype and archetypoid analysis
• Robust multivariate and functional archetypal analysis with application to financial time series analysis
• Prototypal Analysis and Prototypal Regression
• A Note on Archetypal Analysis and the Approximation of Convex Hulls
• Correlations between Nebular Emission and the Continuum Spectral Shape in SDSS Galaxies
• Consistency of archetypal analysis
• Archetypal Athletes