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Designing and testing inflationary models with Bayesian networks · Around

2015

Designing and testing inflationary models with Bayesian networks

Price, Layne C., Peiris, Hiranya V., Frazer, Jonathan et al.

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Understand

Even simple inflationary scenarios have many free parameters.

Beyond the variables appearing in the inflationary action, these include dynamical initial conditions, the number of fields, and couplings to other sectors.
These quantities are often ignored but cosmological observables can depend on the unknown parameters.
We use Bayesian networks to account for a large set of inflationary parameters, deriving generative models for the primordial spectra that are conditioned on a hierarchical set of prior probabilities describing the initial conditions, reheating physics, and other free parameters.

Built on

S. A. Kim and A. R. Liddle, Nflation: observable predictions from the random matrix mass spectrum
Original
1982
Earlier work this paper cites.
A. R. Liddle and D. H. Lyth, The Cold dark matter density perturbation
1993
Earlier work this paper cites.
J. García-Bellido and D. Wands, Metric perturbations in two field inflation
1996
Earlier work this paper cites.
A. R. Liddle, A. Mazumdar, and F. E. Schunck, Assisted inflation
1998
Earlier work this paper cites.
P. Kanti and K. A. Olive, Assisted chaotic inflation in higher dimensional theories
1999
Earlier work this paper cites.
D. Wands, K. A. Malik, D. H. Lyth, and A. R. Liddle, A new approach to the evolution of cosmological perturbations on large scales
2000
Earlier work this paper cites.
C. E. Shannon, A mathematical theory of communication
2001
Earlier work this paper cites.
K. A. Malik, D. Wands, and C. Ungarelli, Large scale curvature and entropy perturbations for multiple interacting fluids
2003
Earlier work this paper cites.
A. R. Liddle and S. M. Leach, How long before the end of inflation were observable perturbations produced?
2003
Earlier work this paper cites.
R. Easther and L. McAllister, Random matrices and the spectrum of N-flation
2006
Earlier work this paper cites.
S. A. Kim and A. R. Liddle, Nflation: multi-field inflationary dynamics and perturbations
2006
Earlier work this paper cites.
S. A. Kim and A. R. Liddle, Nflation: Non-Gaussianity in the horizon-crossing approximation
2006
Earlier work this paper cites.
F. Vernizzi and D. Wands, Non-gaussianities in two-field inflation
2006
Earlier work this paper cites.
T. Battefeld and R. Easther, Non-Gaussianities in Multi-field Inflation
2007
Earlier work this paper cites.
S. Dimopoulos, S. Kachru, J. McGreevy, and J. G. Wacker, N-flation
2008
Earlier work this paper cites.

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