2014

Functional Regression for Quasar Spectra

Ciollaro, Mattia, Cisewski, Jessi, Freeman, Peter et al.

Understand

The Lyman-alpha forest is a portion of the observed light spectrum of distant galactic nuclei which allows us to probe remote regions of the Universe that are otherwise inaccessible.

The observed Lyman-alpha forest of a quasar light spectrum can be modeled as a noisy realization of a smooth curve that is affected by a `damping effect' which occurs whenever the light emitted by the quasar travels through regions of the Universe with higher matter concentration.
To decode the information conveyed by the Lyman-alpha forest about the matter distribution, we must be able to separate the smooth `continuum' from the noise and the contribution of the damping effect in the quasar light spectra.
To predict the continuum in the Lyman-alpha forest, we use a nonparametric functional regression model in which both the response and the predictor variable (the smooth part of the damping-free portion of the spectrum) are function-valued random variables.

Built on

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Original
1997
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[author] Rauch, M.M. (1998). The Lyman- α \alpha forest in the spectra of quasistellar objects. Annual Review of Astronomy and Astrophysics 36 267-316. 10.1146/annurev.astro.36.1.267
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[author] Rauch, M.M. (2000). Lyman- α \alpha forest. Encyclopedia of Astronomy and Astrophysics
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[author] Ferraty, F.F. and Vieu, P.P. (2004). Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination. Nonparametric Statistics 16 111–125
2004
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[author] Suzuki, N.N., Tytler, D.D., Kirkman, D.D., O’Meara, J. M.J. M. and Lubin, D.D. (2005). Predicting QSO continua in the Lyman- α \alpha forest. The Astrophysical Journal 618 592
2005
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Similar

[author] Ferraty, F.F. and Vieu, P.P. (2006). Nonparametric functional data analysis: theory and practice. Springer
2006
Cited alongside, same era.
[author] Desjacques, V.V., Nusser, A.A. and Sheth, R. K.R. K. (2007). The probability distribution function of the Lyman- α \alpha transmitted flux from a sample of Sloan Digital Sky Survey quasars. Monthly Notices of the Royal Astronomical Society 374 206–219
2007
Cited alongside, same era.
[author] Vovk, V.V., Nouretdinov, I.I. and Gammerman, A.A. (2009). On-line predictive linear regression. The Annals of Statistics 37 1566–1590
2009
Cited alongside, same era.
[author] Slosar, A.A., Font-Ribera, A.A., Pieri, M. M.M. M., Rich, J.J., Le Goff, J. M.J. M., Aubourg, É.É., Brinkmann, J.J., Carithers, B.B., Charlassier, R.R., Cortês, M.M. et al. (2011). The Lyman- α \alpha forest in three dimensions: measurements of large scale flux correlations from BOSS 1st-year data. Journal of Cosmology and Astroparticle Physics 2011 001
2011
Cited alongside, same era.
[author] Ferraty, F.F., Van Keilegom, I.I. and Vieu, P.P. (2012). Regression when both response and predictor are functions. Journal of Multivariate Analysis 109 10–28
2012
Cited alongside, same era.
[author] Cisewski, JessiJ., Croft, Rupert A. C.R. A. C., Freeman, Peter E.P. E., Genovese, Christopher R.C. R., Khandai, NishikantaN., Ozbek, MelihM. and Wasserman, LarryL. (to appear). Nonparametric 3D map of the IGM using the Lyman- α \alpha forest. Monthly Notices of the Royal Astronomical Society
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[author] Eisenstein, D. J.D. J. (2005a). Dark energy and cosmic sound. Unpublished manuscript (available online)
Cited in the paper.
[author] Eisenstein, D. J.D. J. (2005b). Dark energy and cosmic sound. New Astronomy Reviews 49 360–365
Cited in the paper.

Then

[author] Lee, K. G.K. G., Suzuki, N.N. and Spergel, D. N.D. N. (2012). Mean-flux-regulated principal component analysis continuum fitting of Sloan Digital Sky Survey Lyman- α \alpha forest spectra. The Astronomical Journal 143 51
2012
Later among the works it cites.
[author] Busca, N. G.N. G., Delubac, T.T., Rich, J.J., Bailey, S.S., Font-Ribera, A.A., Kirkby, D.D., Le Goff, J. M.J. M., Pieri, M. M.M. M., Slosar, A.A., Aubourg, É.E. et al. (2013). Baryon acoustic oscillations in the Lyman alpha forest of BOSS quasars. Astronomy and Astrophysics 552 A96. 10.1051/0004-6361/201220724
2013
Later among the works it cites.
[author] Dawson, K. S.K. S., Schlegel, D. J.D. J., Ahn, C. P.C. P., Anderson, S. F.S. F., Aubourg, É.É., Bailey, S.S., Barkhouser, R. H.R. H., Bautista, J. E.J. E., Beifiori, A.A., Berlind, A. A.A. A. et al. (2013). The baryon oscillation spectroscopic survey of SDSS-III. The Astronomical Journal 145 10
2013
Later among the works it cites.
[author] Lei, J.J., Rinaldo, A.A. and Wasserman, L.L. (2013). A conformal prediction approach to explore functional data. Annals of Mathematics and Artificial Intelligence 1–15
2013
Later among the works it cites.
[author] Pâris, I.I., Petitjean, P.P., Rollinde, E.E., Aubourg, E.E., Busca, N.N., Charlassier, R.R., Delubac, T.T., Hamilton, J. C.J. C., Le Goff, J. M.J. M., Palanque-Delabrouille, N.N. et al. (2011). A principal component analysis of quasar UV spectra at z ∼ \sim 3. arXiv preprint arXiv:1104.2024
Original
2024
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