Fetching the paper…

Reading the bibliography…

2015

A general reconstruction of the recent expansion history of the universe

Vitenti, S. D. P., Penna-Lima, M.

Original
PDF
Post on X

Understand

Distance measurements are currently the most powerful tool to study the expansion history of the universe without specifying its matter content nor any theory of gravitation.

Assuming only an isotropic, homogeneous and flat universe, in this work we introduce a model-independent method to reconstruct directly the deceleration function via a piecewise function.
Including a penalty factor, we are able to vary continuously the complexity of the deceleration function from a linear case to an arbitrary $(n+1)$-knots spline interpolation.
We carry out a Monte Carlo (MC) analysis to determine the best penalty factor, evaluating the bias-variance trade-off, given the uncertainties of the SDSS-II and SNLS supernova combined sample (JLA), compilations of baryon acoustic oscillation (BAO) and $H(z)$ data.

A general reconstruction of the recent expansion history of the universe · Around

Built on

Chapman & Hall/CRC Monographs on Statistics & Applied Probability. Taylor & Francis, 1994
B. Efron and R. Tibshirani, An Introduction to the Bootstrap · 1994
Earlier work this paper cites.
Oxford University Press, 1996
C. M. Bishop, Neural Networks for Pattern Recognition · 1996
Earlier work this paper cites.
Supernova Search Team
1998
Earlier work this paper cites.
D. J. Eisenstein and W. Hu, Baryonic features in the matter transfer function
1998
Earlier work this paper cites.
S. P. Brooks and A. Gelman, General methods for monitoring convergence of iterative simulations
1998
Earlier work this paper cites.
Supernova Cosmology Project
1999
Earlier work this paper cites.
G. Dvali, G. Gabadadze, and M. Porrati, 4d gravity on a brane in 5d minkowski space
2000
Earlier work this paper cites.
Springer Berlin Heidelberg, 2000
M. Keijzer and V. Babovic, Genetic programming, ensemble methods and the bias/variance tradeoff – introductory investigations · 2000
Earlier work this paper cites.
A. Lewis, A. Challinor, and A. Lasenby, Efficient computation of CMB anisotropies in closed FRW models
2000
Earlier work this paper cites.
Springer, 2001
C. de Boor, A Practical Guide to Splines · 2001
Earlier work this paper cites.
M. S. Turner and A. Riess, Do sne ia provide direct evidence for past deceleration of the universe?
2002
Earlier work this paper cites.
R. A. Daly and S. G. Djorgovski, A model-independent determination of the expansion and acceleration rates of the universe as a function of redshift and constraints on dark energy
2003
Earlier work this paper cites.
D. Huterer and G. Starkman, Parameterization of dark-energy properties: a principal-component approach
2003
Earlier work this paper cites.
M. Visser, Jerk, snap, and the cosmological equation of state
2004
Earlier work this paper cites.
Supernova Search Team
2004
Earlier work this paper cites.
R. A. Daly and S. G. Djorgovski, Direct determination of the kinematics of the universe and properties of the dark energy as functions of redshift
2004
Earlier work this paper cites.
V. Sahni and A. Starobinsky, Reconstructing dark energy
2006
Earlier work this paper cites.
C. Shapiro and M. S. Turner, What do we really know about cosmic acceleration?
2006
Earlier work this paper cites.
A. Avgoustidis, L. Verde, and R. Jimenez, Consistency among distance measurements: transparency, bao scale and accelerated expansion
Original
2006
Earlier work this paper cites.
A. Shafieloo, U. Alam, V. Sahni, and A. A. Starobinsky, Smoothing supernova data to reconstruct the expansion history of the universe and its age
2006
Earlier work this paper cites.
D. Rapetti, S. W. Allen, M. A. Amin, and R. D. Blandford, A kinematical approach to dark energy studies
2007
Earlier work this paper cites.

Similar

D. J. Eisenstein, H.-J. Seo, E. Sirko, and D. N. Spergel, Improving cosmological distance measurements by reconstruction of the baryon acoustic peak
2007
Cited alongside, same era.
R. A. Daly, S. G. Djorgovski, K. A. Freeman, M. P. Mory, C. P. O’Dea, et al., Improved constraints on the acceleration history of the universe and the properties of the dark energy
Original
2008
Cited alongside, same era.
M. P. Lima, S. Vitenti, and M. J. Rebouças, Energy conditions bounds and their confrontation with supernovae data
Original
2008
Cited alongside, same era.
M. P. Lima, S. D. P. Vitenti, and M. J. Rebouças, Energy conditions bounds and supernovae data
Original
2008
Cited alongside, same era.
C. Cattoën and M. Visser, Cosmographic hubble fits to the supernova data

Then

A. Shafieloo, Crossing statistic: reconstructing the expansion history of the universe
Original
2012
Later among the works it cites.
M. Seikel, C. Clarkson, and M. Smith, Reconstruction of dark energy and expansion dynamics using gaussian processes
Original
2012
Later among the works it cites.
N. Padmanabhan, X. Xu, D. J. Eisenstein, R. Scalzo, A. J. Cuesta, et al., A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations - i. methods and application to the sloan digital sky survey
Original
2012
Later among the works it cites.
M. Moresco, A. Cimatti, R. Jimenez, L. Pozzetti, G. Zamorani, et al., Improved constraints on the expansion rate of the universe up to z
Original
2012
Later among the works it cites.
R. G. Crittenden, G.-B. Zhao, L. Pogosian, L. Samushia, and X. Zhang, Fables of reconstruction: controlling bias in the dark energy equation of state

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2008

Cited alongside, same era.

T. P. Sotiriou and V. Faraoni, f(r) theories of gravity

2010

Cited alongside, same era.

C. Clarkson and C. Zunckel, Direct reconstruction of dark energy

2010

Cited alongside, same era.

T. Holsclaw, U. Alam, B. Sansó, H. Lee, K. Heitmann, et al., Nonparametric dark energy reconstruction from supernova data

2010

Cited alongside, same era.

D. Stern, R. Jimenez, L. Verde, M. Kamionkowski, and S. A. Stanford, Cosmic chronometers: constraining the equation of state of dark energy. i: H(z) measurements

2010

Cited alongside, same era.

J. Goodman and J. Weare, Ensemble samplers with affine invariance

2010

Cited alongside, same era.

S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: From f(r) theory to lorentz non-invariant models

2011

Cited alongside, same era.

E. E. O. Ishida and R. S. de Souza, Hubble parameter reconstruction from a principal component analysis: minimizing the bias

2011

Cited alongside, same era.

2012

Later among the works it cites.

G.-B. Zhao, R. G. Crittenden, L. Pogosian, and X. Zhang, Examining the Evidence for Dynamical Dark Energy

2012

Later among the works it cites.

Z.-X. Zhai, M.-J. Zhang, Z.-S. Zhang, X.-M. Liu, and T.-J. Zhang, Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations

2013

Later among the works it cites.

S. Benitez-Herrera, E. E. O. Ishida, M. Maturi, W. Hillebrandt, M. Bartelmann, et al., Cosmological parameter estimation from SN Ia data: a model-independent approach

2013

Later among the works it cites.

N. G. Busca, T. Delubac, J. Rich, S. Bailey, A. Font-Ribera, et al., Baryon acoustic oscillations in the ly α \alpha forest of boss quasars

2013

Later among the works it cites.

G. Hinshaw, D. Larson, E. Komatsu, D. N. Spergel, C. L. Bennett, et al., Nine-year wilkinson microwave anisotropy probe (wmap) observations: Cosmological parameter results

2013

Later among the works it cites.

D. Foreman-Mackey, D. W. Hogg, D. Lang, and J. Goodman, emcee : The MCMC hammer

2013

Later among the works it cites.

A. Montiel, R. Lazkoz, I. Sendra, C. Escamilla-Rivera, and V. Salzano, Nonparametric reconstruction of the cosmic expansion with local regression smoothing and simulation extrapolation

2014

Later among the works it cites.

M. Betoule, R. Kessler, J. Guy, J. Mosher, D. Hardin, et al., Improved cosmological constraints from a joint analysis of the sdss-ii and snls supernova samples

2014

Later among the works it cites.

E. A. Kazin, J. Koda, C. Blake, N. Padmanabhan, S. Brough, et al., The wigglez dark energy survey: improved distance measurements to z = 1 with reconstruction of the baryonic acoustic feature

2014

Later among the works it cites.

M. Penna-Lima, M. Makler, and C. A. Wuensche, Biases on cosmological parameter estimators from galaxy cluster number counts

2014

Later among the works it cites.

S. Dias Pinto Vitenti and M. Penna-Lima, Numcosmo: Numerical cosmology

2014

Later among the works it cites.

S. Capozziello, O. Farooq, O. Luongo, and B. Ratra, Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in f(R) gravity

2014

Later among the works it cites.

A. Heavens, R. Jimenez, and L. Verde, Standard rulers, candles, and clocks from the low-redshift universe

2014

Later among the works it cites.

A. Joyce, B. Jain, J. Khoury, and M. Trodden, Beyond the cosmological standard model

2015

Closest in time.

Planck Collaboration, P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, et al., Planck 2015 results. xiii. cosmological parameters

2015

Closest in time.