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词条 NNPDF
释义

  1. Methodology

  2. Example

  3. Releases

  4. External links

{{unreferenced|date=July 2017}}{{incomprehensible|date=July 2017}}{{Infobox software
| name = NNPDF
| logo = LogoNNPDF.png
| developer = The NNPDF Collaboration
| latest release version = 2.3
| genre = Particle physics
| website = {{URL|http://nnpdf.hepforge.org}}
}}

NNPDF is the acronym used to identify the parton distribution functions from the NNPDF Collaboration. NNPDF parton densities are

extracted from global fits to data based on a combination of a Monte Carlo method for uncertainty estimation and the use of

neural networks as basic interpolating functions.

Methodology

The NNPDF approach can be divided into four main steps:

  • The generation of a large sample of Monte Carlo replicas of the original experimental data, in a way that central values, errors and correlations are reproduced with enough accuracy.
  • The training (minimization of the ) of a set of PDFs parametrized by neural networks on each of the above MC replicas of the data. PDFs are parametrized at the initial evolution scale and then evolved to the experimental data scale by means of the DGLAP equations. Since the PDF parametrization is redundant, the minimization strategy is based in genetic algorithms.
  • The neural network training is stopped dynamically before entering into the overlearning regime, that is, so that the PDFs learn the physical laws which underlie experimental data without fitting simultaneously statistical noise.
  • Once the training of the MC replicas has been completed, a set of statistical estimators can be applied to the set of PDFs, in order to assess the statistical consistency of the results. For example, the stability with respect PDF parametrization can be explicitly verified.

The set of PDF sets (trained neural networks) provides a representation of the underlying PDF probability density, from which any statistical estimator can be computed.

Example

The image below shows the gluon at small-x from [https://arxiv.org/abs/0808.1231 the NNPDF1.0 analysis], available

through the LHAPDF interface

Releases

The NNPDF releases are summarised in the following table:

PDF set DIS data Drell-Yan data Jet data LHC data Independent param. of and Heavy Quark masses NNLO
NNPDF2.2 {{Yes}} {{Yes}} {{Yes}} {{Yes}} {{Yes}} {{Yes}} {{Yes}}
NNPDF2.1 {{Yes}} {{Yes}} {{Yes}} {{No}} {{Yes}} {{Yes}} {{Yes}}
NNPDF2.0 {{Yes}} {{Yes}} {{Yes}} {{No}} {{Yes}} {{No}} {{No}}
NNPDF1.2 {{Yes}} {{No}} {{No}} {{No}} {{Yes}} {{No}} {{No}}
NNPDF1.0 {{Yes}} {{No}} {{No}} {{No}} {{No}} {{No}} {{No}}

All PDF sets are available through the LHAPDF interface.

External links

  • The NNPDF Collaboration homepage
  • Download NNPDF Parton Distribution sets
  • [https://arxiv.org/abs/0808.1231 The NNPDF1.0 analysis]
  • [https://arxiv.org/abs/hep-ph/0701127 The NNPDF Non-Singlet analysis]
  • The LHAPDF interface

2 : Particle physics|Physics software

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