rf407_ComputationalGraphVisualization.C File Reference

Detailed Description

Data and categories: Visualing computational graph model before fitting, and latex printing of lists and sets of RooArgSets after fitting

 
#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooChebychev.h"
#include "RooAddPdf.h"
#include "RooExponential.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "RooPlot.h"
using namespace RooFit;
 
void rf407_ComputationalGraphVisualization()
{
   // S e t u p   c o m p o s i t e    p d f
   // --------------------------------------
 
   // Declare observable x
   RooRealVar x("x", "x", 0, 10);
 
   // Create two Gaussian PDFs g1(x,mean1,sigma) anf g2(x,mean2,sigma) and their parameters
   RooRealVar mean("mean", "mean of gaussians", 5);
   RooRealVar sigma1("sigma1", "width of gaussians", 0.5);
   RooRealVar sigma2("sigma2", "width of gaussians", 1);
   RooGaussian sig1("sig1", "Signal component 1", x, mean, sigma1);
   RooGaussian sig2("sig2", "Signal component 2", x, mean, sigma2);
 
   // Sum the signal components into a composite signal pdf
   RooRealVar sig1frac("sig1frac", "fraction of component 1 in signal", 0.8, 0., 1.);
   RooAddPdf sig("sig", "Signal", RooArgList(sig1, sig2), sig1frac);
 
   // Build Chebychev polynomial pdf
   RooRealVar a0("a0", "a0", 0.5, 0., 1.);
   RooRealVar a1("a1", "a1", 0.2, 0., 1.);
   RooChebychev bkg1("bkg1", "Background 1", x, RooArgSet(a0, a1));
 
   // Build expontential pdf
   RooRealVar alpha("alpha", "alpha", -1);
   RooExponential bkg2("bkg2", "Background 2", x, alpha);
 
   // Sum the background components into a composite background pdf
   RooRealVar bkg1frac("sig1frac", "fraction of component 1 in background", 0.2, 0., 1.);
   RooAddPdf bkg("bkg", "Signal", RooArgList(bkg1, bkg2), sig1frac);
 
   // Sum the composite signal and background
   RooRealVar bkgfrac("bkgfrac", "fraction of background", 0.5, 0., 1.);
   RooAddPdf model("model", "g1+g2+a", RooArgList(bkg, sig), bkgfrac);
 
   // P r i n t   c o m p o s i t e   t r e e   i n   A S C I I
   // -----------------------------------------------------------
 
   // Print tree to stdout
   model.Print("t");
 
   // Print tree to file
   model.printCompactTree("", "rf206_asciitree.txt");
 
   // D r a w   c o m p o s i t e   t r e e   g r a p h i c a l l y
   // -------------------------------------------------------------
 
   // Print GraphViz DOT file with representation of tree
   model.graphVizTree("rf206_model.dot");
 
   // Make graphic output file with one of the GraphViz tools
   // (freely available from www.graphviz.org)
   //
   // 'Top-to-bottom graph'
   // unix> dot -Tgif -o rf207_model_dot.gif rf207_model.dot
   //
   // 'Spring-model graph'
   // unix> fdp -Tgif -o rf207_model_fdp.gif rf207_model.dot
 
   // M a k e   l i s t   o f   p a r a m e t e r s   b e f o r e   a n d   a f t e r   f i t
   // ----------------------------------------------------------------------------------------
 
   // Make list of model parameters
   std::unique_ptr<RooArgSet> params{model.getParameters(x)};
 
   // Save snapshot of prefit parameters
   std::unique_ptr<RooArgSet> initParams{static_cast<RooArgSet *>(params->snapshot())};
 
   // Do fit to data, to obtain error estimates on parameters
   std::unique_ptr<RooDataSet> data{model.generate(x, 1000)};
   model.fitTo(*data, PrintLevel(-1));
 
   // P r i n t   l a t ex   t a b l e   o f   p a r a m e t e r s   o f   p d f
   // --------------------------------------------------------------------------
 
   // Print parameter list in LaTeX for (one column with names, one column with values)
   params->printLatex();
 
   // Print parameter list in LaTeX for (names values|names values)
   params->printLatex(Columns(2));
 
   // Print two parameter lists side by side (name values initvalues)
   params->printLatex(Sibling(*initParams));
 
   // Print two parameter lists side by side (name values initvalues|name values initvalues)
   params->printLatex(Sibling(*initParams), Columns(2));
 
   // Write LaTex table to file
   params->printLatex(Sibling(*initParams), OutputFile("rf407_latextables.tex"));
}

 
[#0] WARNING:InputArguments -- The parameter 'sigma1' with range [-inf, inf] of the RooGaussian 'sig1' exceeds the safe range of (0, inf). Advise to limit its range.
[#0] WARNING:InputArguments -- The parameter 'sigma2' with range [-inf, inf] of the RooGaussian 'sig2' exceeds the safe range of (0, inf). Advise to limit its range.
0x7ffd05773e20 RooAddPdf::model = 0.820674/1 [Auto,Clean] 
  0x7ffd05772f30/V- RooAddPdf::bkg = 0.641348/1 [Auto,Clean] 
    0x7ffd057709b0/V- RooChebychev::bkg1 = 0.8 [Auto,Dirty] 
      0x7ffd05773a38/V- RooRealVar::x = 5
      0x7ffd05771ba8/V- RooRealVar::a0 = 0.5
      0x7ffd05771f90/V- RooRealVar::a1 = 0.2
    0x7ffd05772b48/V- RooRealVar::sig1frac = 0.8
    0x7ffd05770ee0/V- RooExponential::bkg2 = 0.00673795 [Auto,Dirty] 
      0x7ffd05773a38/V- RooRealVar::x = 5
      0x7ffd05772378/V- RooRealVar::alpha = -1
  0x7ffd05773650/V- RooRealVar::bkgfrac = 0.5
  0x7ffd0576f3f8/V- RooAddPdf::sig = 1/1 [Auto,Clean] 
    0x7ffd0576fb18/V- RooGaussian::sig1 = 1 [Auto,Dirty] 
      0x7ffd05773a38/V- RooRealVar::x = 5
      0x7ffd05772760/V- RooRealVar::mean = 5
      0x7ffd057713d8/V- RooRealVar::sigma1 = 0.5
    0x7ffd05772b48/V- RooRealVar::sig1frac = 0.8
    0x7ffd05770070/V- RooGaussian::sig2 = 1 [Auto,Dirty] 
      0x7ffd05773a38/V- RooRealVar::x = 5
      0x7ffd05772760/V- RooRealVar::mean = 5
      0x7ffd057717c0/V- RooRealVar::sigma2 = 1
[#1] INFO:Fitting -- RooAbsPdf::fitTo(model) fixing normalization set for coefficient determination to observables in data
[#1] INFO:Fitting -- using generic CPU library compiled with no vectorizations
[#1] INFO:Fitting -- Creation of NLL object took 584.272 μs
[#1] INFO:Fitting -- RooAddition::defaultErrorLevel(nll_model_modelData) Summation contains a RooNLLVar, using its error level
[#1] INFO:Minimization -- RooAbsMinimizerFcn::setOptimizeConst: activating const optimization
[#1] INFO:Minimization -- RooAbsMinimizerFcn::setOptimizeConst: deactivating const optimization
\begin{tabular}{lc}
$\verb+a0+ $ & $  0.6\pm 0.2$\\
$\verb+a1+ $ & $  0.2\pm 0.2$\\
$\verb+alpha+ $ & $ -1.00$\\
$\verb+bkgfrac+ $ & $  0.45\pm 0.03$\\
$\verb+mean+ $ & $  5$\\
$\verb+sig1frac+ $ & $  0.71\pm 0.06$\\
$\verb+sigma1+ $ & $  0.5$\\
$\verb+sigma2+ $ & $  1$\\
\end{tabular}
\begin{tabular}{lc|lc}
$\verb+a0+ $ & $  0.6\pm 0.2$ & $\verb+mean+ $ & $  5$\\
$\verb+a1+ $ & $  0.2\pm 0.2$ & $\verb+sig1frac+ $ & $  0.71\pm 0.06$\\
$\verb+alpha+ $ & $ -1.00$ & $\verb+sigma1+ $ & $  0.5$\\
$\verb+bkgfrac+ $ & $  0.45\pm 0.03$ & $\verb+sigma2+ $ & $  1$\\
\end{tabular}
\begin{tabular}{lcc}
$\verb+a0+ $ & $  0.6\pm 0.2$ & $ 0.5$\\
$\verb+a1+ $ & $  0.2\pm 0.2$ & $ 0.2$\\
$\verb+alpha+ $ & $ -1.00$ & $-1.00$\\
$\verb+bkgfrac+ $ & $  0.45\pm 0.03$ & $ 0.5$\\
$\verb+mean+ $ & $  5$ & $ 5$\\
$\verb+sig1frac+ $ & $  0.71\pm 0.06$ & $ 0.8$\\
$\verb+sigma1+ $ & $  0.5$ & $ 0.5$\\
$\verb+sigma2+ $ & $  1$ & $ 1$\\
\end{tabular}
\begin{tabular}{lcc|lcc}
$\verb+a0+ $ & $  0.6\pm 0.2$ & $ 0.5$ & $\verb+mean+ $ & $  5$ & $ 5$\\
$\verb+a1+ $ & $  0.2\pm 0.2$ & $ 0.2$ & $\verb+sig1frac+ $ & $  0.71\pm 0.06$ & $ 0.8$\\
$\verb+alpha+ $ & $ -1.00$ & $-1.00$ & $\verb+sigma1+ $ & $  0.5$ & $ 0.5$\\
$\verb+bkgfrac+ $ & $  0.45\pm 0.03$ & $ 0.5$ & $\verb+sigma2+ $ & $  1$ & $ 1$\\
\end{tabular}

Date

July 2008

Author

Wouter Verkerke

Definition in file rf407_ComputationalGraphVisualization.C.