.. file generated automatically by lsqfitgp/docs/examplesref.py

.. currentmodule:: lsqfitgp

.. _examplesref:

Example scripts
===============

This is an index of the example scripts in the `examples directory
<https://github.com/Gattocrucco/lsqfitgp/tree/master/examples>`_ in the
repository. The links point to the file preview on github.

Short index
-----------
a_ acic_ b_ bart_ barteasy_ c_ d_ dft_ doubleint_ e_ even_ f_ fourier_ g_ h_ i_ j_ k_ l_ m_ n_ o_ pdf1_ pdf2_ pdf3_ pdf4_ pdf5_ pdf6_ pdf7_ pdf8_ pdf9_ q_ r_ s_ t_ u_ v_ w_ x_ y_ z_ 

Long index
----------

.. _a:

  * `a.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/a.py>`_: EXAMPLE A.

    Where the oscillating nature of an unknown function is revealed
    from but a few points, though only to a certain distance.
    
    .. image:: ../examples/plot/a.png

.. _acic:

  * `acic.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/acic.py>`_: Analyze a dataset from the ACIC 2022 Data Challenge using the BART kernel.

    Website: https://acic2022.mathematica.org

    Article: Dan R.C. Thal and Mariel M. Finucane, "Causal Methods Madness: Lessons
    Learned from the 2022 ACIC Competition to Estimate Health Policy Impacts,"
    Observational Studies, Volume 9, Issue 3, 2023, pp. 3-27,
    https://doi.org/10.1353/obs.2023.0023

.. _b:

  * `b.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/b.py>`_: EXAMPLE B.

    Where it is discovered that the derivative of the unknown function
    is orthogonal to the function itself, and furthermore that it is
    orange instead of blue.
    
    .. image:: ../examples/plot/b.png

.. _bart:

  * `bart.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/bart.py>`_: Example usage of the BART kernel to replace the standard BART MCMC algorithm.

.. _barteasy:

  * `barteasy.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/barteasy.py>`_: BART with the simplified subpackage.
    
    .. image:: ../examples/plot/barteasy.png

.. _c:

  * `c.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/c.py>`_: EXAMPLE C.

    Where a nonlinear transformation hides the true height of some
    crosses.
    
    .. image:: ../examples/plot/c.png

.. _d:

  * `d.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/d.py>`_: EXAMPLE D.

    Where the primitive of our function takes some freedom to move
    up and down.
    
    .. image:: ../examples/plot/d.png

.. _dft:

  * `dft.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/dft.py>`_: Constrain the discrete Fourier transform of a periodic process. Shows how
    to use GP.addlintransf.
    
    .. image:: ../examples/plot/dft.png

.. _doubleint:

  * `doubleint.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/doubleint.py>`_: Test of double integral constraint
    
    .. image:: ../examples/plot/doubleint.png

.. _e:

  * `e.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/e.py>`_: EXAMPLE E.

    Where observing both a function and its derivative put some
    restraint on their behaviour.
    
    .. image:: ../examples/plot/e.png

.. _even:

  * `even.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/even.py>`_: Split a function into even and odd parts.
    
    .. image:: ../examples/plot/even.png

.. _f:

  * `f.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/f.py>`_: EXAMPLE F.

    Where apparently in these times it is not anymore possible to
    know exactly where one gentleman's function will pass.
    
    .. image:: ../examples/plot/f.png

.. _fourier:

  * `fourier.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/fourier.py>`_: Constrain the values of Fourier series coefficients
    
    .. image:: ../examples/plot/fourier.png

.. _g:

  * `g.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/g.py>`_: EXAMPLE G.

    Where two ways of expressing one's beliefs are compared and found,
    satisfactorily, to be quite similar.
    
    .. image:: ../examples/plot/g.png

.. _h:

  * `h.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/h.py>`_: EXAMPLE H.

    Where at first sight nothing has changed, but behind the scenes
    important information has been lost forever.
    
    .. image:: ../examples/plot/h.png

.. _i:

  * `i.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/i.py>`_: EXAMPLE I.

    Where, due to obscure political reasons, we insist on forgetting
    important details that a reasonable man's mind would be fond of
    recalling later.
    
    .. image:: ../examples/plot/i.png

.. _j:

  * `j.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/j.py>`_: EXAMPLE J.

    Where the excessive smoothness of the prediction is found not
    to satisfy our manly tastes.
    
    .. image:: ../examples/plot/j.png

.. _k:

  * `k.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/k.py>`_: EXAMPLE K.

    Where lady K finds out that every gentleman hides his rougher
    corners in his derivative.
    
    .. image:: ../examples/plot/k.png

.. _l:

  * `l.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/l.py>`_: EXAMPLE L.

    Where two formulas give the same results and so math triumphs
    once again.
    
    .. image:: ../examples/plot/l.png

.. _m:

  * `m.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/m.py>`_: EXAMPLE M.

    Where we discover that, unlike elephants, Matérn processes
    prefer to forget after less than one data step.
    
    .. image:: ../examples/plot/m.png

.. _n:

  * `n.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/n.py>`_: EXAMPLE N.

    Where we wonder how much a derivative is allowed to do her own
    business compared to her mistress.
    
    .. image:: ../examples/plot/n.png

.. _o:

  * `o.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/o.py>`_: EXAMPLE O.

    Where mister N's enquiry is repeated by different means.
    
    .. image:: ../examples/plot/o.png

.. _pdf1:

  * `pdf1.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf1.py>`_: Fit of parton distributions functions (PDFs)
    
    .. image:: ../examples/plot/pdf1.png

.. _pdf2:

  * `pdf2.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf2.py>`_: Fit of parton distributions functions (PDFs)

    The difference from pdf1.py is that we define the transformation on processes
    instead of on their finite realizations
    
    .. image:: ../examples/plot/pdf2.png

.. _pdf3:

  * `pdf3.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf3.py>`_: Fit of parton distributions functions (PDFs)

    Like pdf2, but with correct integral constraints and naming this time
    
    .. image:: ../examples/plot/pdf3.png

.. _pdf4:

  * `pdf4.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf4.py>`_: Fit of parton distribution functions (PDFs)

    Like pdf3, but with hyperparameters
    
    .. image:: ../examples/plot/pdf4.png

.. _pdf5:

  * `pdf5.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf5.py>`_: Fit of parton distributions functions (PDFs)

    Like pdf3, but with nonlinear data
    
    .. image:: ../examples/plot/pdf5.png

.. _pdf6:

  * `pdf6.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf6.py>`_: Fit of parton distributions functions (PDFs)

    Like pdf5, but with uncertainties on M and M2
    
    .. image:: ../examples/plot/pdf6.png

.. _pdf7:

  * `pdf7.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf7.py>`_: Fit of parton distributions functions (PDFs)

    Like pdf6, but with hyperparameters
    
    .. image:: ../examples/plot/pdf7.png

.. _pdf8:

  * `pdf8.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf8.py>`_: Fit of parton distributions functions (PDFs)

    Like pdf7, but with more realistic PDFs
    
    .. image:: ../examples/plot/pdf8.png

.. _pdf9:

  * `pdf9.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/pdf9.py>`_: Fit of parton distributions functions (PDFs)

    Like pdf8, but only with linear data
    
    .. image:: ../examples/plot/pdf9.png

.. _q:

  * `q.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/q.py>`_: EXAMPLE Q.

    Where we extend a pattern of waves in space, but do not dare
    look too far from our data.
    
    .. image:: ../examples/plot/q.png

.. _r:

  * `r.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/r.py>`_: EXAMPLE R.

    Where we decide to introduce a strong anisotropy despite
    evidence of its absence.
    
    .. image:: ../examples/plot/r.png

.. _s:

  * `s.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/s.py>`_: EXAMPLE S.

    Where different coordinates unite together under a single
    field name.
    
    .. image:: ../examples/plot/s.png

.. _t:

  * `t.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/t.py>`_: EXAMPLE T.

    Where we pretend to discover that two series of events
    were in fact one the delayed and imperfect copy of the
    other.
    
    .. image:: ../examples/plot/t.png

.. _u:

  * `u.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/u.py>`_: EXAMPLE U.

    Where we infer the temporal scale of a process assuming
    another process is correlated with its derivative.
    
    .. image:: ../examples/plot/u.png

.. _v:

  * `v.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/v.py>`_: EXAMPLE V.

    Where we go on an expedition to survey the many and wondrous
    kernels that inhabit our software.
    
    .. image:: ../examples/plot/v.png

.. _w:

  * `w.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/w.py>`_: EXAMPLE W.

    Where, with limited success, we recover the identity of two
    mixed functions knowing their speed of variation.
    
    .. image:: ../examples/plot/w.png

.. _x:

  * `x.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/x.py>`_: EXAMPLE X.

    Where the derivatives of an interesting correlation function
    are put to harsh a trial.
    
    .. image:: ../examples/plot/x.png

.. _y:

  * `y.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/y.py>`_: EXAMPLE Y.

    Where a Zeta kernel forces some random samples to have
    zero mean.
    
    .. image:: ../examples/plot/y.png

.. _z:

  * `z.py <https://github.com/Gattocrucco/lsqfitgp/blob/master/examples/z.py>`_: EXAMPLE Z.

    Where we sail in an infinite dimensional space to sum two
    numbers.
    
    .. image:: ../examples/plot/z.png