# Designing and testing inflationary models with Bayesian networks

@article{Price2015DesigningAT, title={Designing and testing inflationary models with Bayesian networks}, author={Layne Price and Hiranya V. Peiris and Jonathan Frazer and Richard Easther}, journal={arXiv: Cosmology and Nongalactic Astrophysics}, year={2015} }

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…

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## References

SHOWING 1-10 OF 77 REFERENCES

Bayesian Analysis of Inflation II: Model Selection and Constraints on Reheating

- Computer Science
- 2012

The model selection problem for inflationary cosmology is discussed, and it is confirmed that while present-day data tightly constrains the properties of the power spectrum, it cannot usefully distinguish between the members of a large class of simple inflationary models.

N-flation: multifield inflationary dynamics and perturbations

- Physics
- 2006

We carry out numerical investigations of the dynamics and perturbations in the Nflation model of Dimopoulos et al. (2005). This model features large numbers of scalar fields with different masses,…

Bayesian Analysis of Inflation: Parameter Estimation for Single Field Models

- Physics
- 2011

Future astrophysical data sets promise to strengthen constraints on models of inflation, and extracting these constraints requires methods and tools commensurate with the quality of the data. In this…

Simple predictions from multifield inflationary models.

- PhysicsPhysical review letters
- 2014

The expected amplitude of isocurvature perturbations grows with N, raising the possibility that many-field models may be sensitive to postinflationary physics and suggesting new avenues for testing these scenarios.

Inflation and the scale dependent spectral index: prospects and strategies

- Economics
- 2011

We consider the running of the spectral index as a probe of both inflation itself, and of the overall evolution of the very early universe. Surveying a collection of simple single field inflationary…

Initial conditions and sampling for multifield inflation

- Economics
- 2013

We investigate the initial conditions problem for multifield inflation. In these scenarios the pre-inflationary dynamics can be chaotic, increasing the sensitivity of the onset of inflation to the…

Bayesian evidence of the post-Planck curvaton

- Physics
- 2015

We perform a Bayesian model comparison for scenarios within the quadratic curvaton model, determining the degree to which both are disfavoured with respect to the ΛCDM concordance model and…

Bayesian Analysis of Inflation III: Slow Roll Reconstruction Using Model Selection

- Mathematics
- 2012

We implement Slow Roll Reconstruction – an optimal solution to the inverse problem for inflationary cosmology – within ModeCode, a publicly available solver for the inflationary dynamics. We obtain…

Predictions in multifield models of inflation

- Economics
- 2013

This paper presents a method for obtaining an analytic expression for the density function of observables in multifield models of inflation with sum-separable potentials. The most striking result is…

Inflating an Inhomogeneous Universe

- Economics
- 2014

While cosmological inflation can erase primordial inhomogeneities, it is possible that inflation may not begin in a significantly inhomogeneous universe. This issue is particularly pressing in…