2009
DOI: 10.1103/physrevd.80.105005
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Information field theory for cosmological perturbation reconstruction and nonlinear signal analysis

Abstract: We develop information field theory (IFT) as a means of Bayesian inference on spatially distributed signals, the information fields. A didactical approach is attempted. Starting from general considerations on the nature of measurements, signals, noise, and their relation to a physical reality, we derive the information Hamiltonian, the source field, propagator, and interaction terms. Free IFT reproduces the well known Wiener-filter theory. Interacting IFT can be diagrammatically expanded, for which we provide … Show more

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Cited by 151 publications
(268 citation statements)
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References 197 publications
(220 reference statements)
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“…Sensitive observations, a good knowledge of the Galactic Faraday foreground screen, and a statistical approach that is able to properly combine all of the observational information are necessary. An allsky map of the Galactic Faraday rotation foreground and an estimate of the overall extragalactic contribution has been derived by Oppermann et al (2012Oppermann et al ( , 2015 in the framework of "Information Field Theory" (Enßlin et al 2009) by assuming a correlated Galactic foreground and a completely uncorrelated extragalactic term. In this paper, we propose a new, fully Bayesian approach aiming at further disentangling the contribution intrinsic to emitting sources from the contribution due to the intergalactic environment between the source and the observer and at investigating the dependence of these contributions on redshift.…”
Section: Introductionmentioning
confidence: 99%
“…Sensitive observations, a good knowledge of the Galactic Faraday foreground screen, and a statistical approach that is able to properly combine all of the observational information are necessary. An allsky map of the Galactic Faraday rotation foreground and an estimate of the overall extragalactic contribution has been derived by Oppermann et al (2012Oppermann et al ( , 2015 in the framework of "Information Field Theory" (Enßlin et al 2009) by assuming a correlated Galactic foreground and a completely uncorrelated extragalactic term. In this paper, we propose a new, fully Bayesian approach aiming at further disentangling the contribution intrinsic to emitting sources from the contribution due to the intergalactic environment between the source and the observer and at investigating the dependence of these contributions on redshift.…”
Section: Introductionmentioning
confidence: 99%
“…Applications of Information Theory to astrophysics concerns the reconstruction of sparse signals (e.g. Ensslin et al 2009;Ensslin & Frommert 2011;Ensslin 2013), cosmology (e.g. Hosoya et al 2004;Li et al 2012), extragalactic surveys (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…This assumption is frequently made in computational field theory as well (see, e.g., Peskin & Schroeder 1995). For a more thorough discussion on the framework of signal inference, see Enßlin et al (2009).…”
Section: B1 Mathematical Notationmentioning
confidence: 99%
“…Following the notation of Enßlin et al (2009), we define two fundamental quantities, the signal s and the data d. The signal is the ideal, true physical quantity we would like to investigate with our observation. The data is what our measurement device has delivered us.…”
Section: Bayesian Signal Inference In Radio Astronomymentioning
confidence: 99%
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