rf407_ComputationalGraphVisualization.py File Reference

Detailed Description

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

 
import ROOT
 
 
# Setup composite pdf
# --------------------------------------
 
# Declare observable x
x = ROOT.RooRealVar("x", "x", 0, 10)
 
# Create two Gaussian PDFs g1(x,mean1,sigma) anf g2(x,mean2,sigma) and
# their parameters
mean = ROOT.RooRealVar("mean", "mean of gaussians", 5)
sigma1 = ROOT.RooRealVar("sigma1", "width of gaussians", 0.5)
sigma2 = ROOT.RooRealVar("sigma2", "width of gaussians", 1)
sig1 = ROOT.RooGaussian("sig1", "Signal component 1", x, mean, sigma1)
sig2 = ROOT.RooGaussian("sig2", "Signal component 2", x, mean, sigma2)
 
# Sum the signal components into a composite signal pdf
sig1frac = ROOT.RooRealVar("sig1frac", "fraction of component 1 in signal", 0.8, 0.0, 1.0)
sig = ROOT.RooAddPdf("sig", "Signal", [sig1, sig2], [sig1frac])
 
# Build Chebychev polynomial pdf
a0 = ROOT.RooRealVar("a0", "a0", 0.5, 0.0, 1.0)
a1 = ROOT.RooRealVar("a1", "a1", -0.2, 0.0, 1.0)
bkg1 = ROOT.RooChebychev("bkg1", "Background 1", x, [a0, a1])
 
# Build expontential pdf
alpha = ROOT.RooRealVar("alpha", "alpha", -1)
bkg2 = ROOT.RooExponential("bkg2", "Background 2", x, alpha)
 
# Sum the background components into a composite background pdf
bkg1frac = ROOT.RooRealVar("sig1frac", "fraction of component 1 in background", 0.2, 0.0, 1.0)
bkg = ROOT.RooAddPdf("bkg", "Signal", [bkg1, bkg2], [sig1frac])
 
# Sum the composite signal and background
bkgfrac = ROOT.RooRealVar("bkgfrac", "fraction of background", 0.5, 0.0, 1.0)
model = ROOT.RooAddPdf("model", "g1+g2+a", [bkg, sig], [bkgfrac])
 
# Print composite tree in ASCII
# -----------------------------------------------------------
 
# Print tree to stdout
model.Print("t")
 
# Print tree to file
model.printCompactTree("", "rf206_asciitree.txt")
 
# Draw composite tree graphically
# -------------------------------------------------------------
 
# Print GraphViz DOT file with representation of tree
model.graphVizTree("rf206_model.dot")
 
# Make list of parameters before and after fit
# ----------------------------------------------------------------------------------------
 
# Make list of model parameters
params = model.getParameters({x})
 
# Save snapshot of prefit parameters
initParams = params.snapshot()
 
# Do fit to data, obtain error estimates on parameters
data = model.generate({x}, 1000)
model.fitTo(data, PrintLevel=-1)
 
# Print LateX table of parameters of pdf
# --------------------------------------------------------------------------
 
# Print parameter list in LaTeX for (one column with names, 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.
0x561d914e19e0 RooAddPdf::model = 0.900674/1 [Auto,Clean] 
  0x561d91492920/V- RooAddPdf::bkg = 0.801348/1 [Auto,Clean] 
    0x561d91484a70/V- RooChebychev::bkg1 = 1 [Auto,Dirty] 
      0x561d8fdf7990/V- RooRealVar::x = 5
      0x561d90e103a0/V- RooRealVar::a0 = 0.5
      0x561d9035a640/V- RooRealVar::a1 = 0
    0x561d8ff3f2f0/V- RooRealVar::sig1frac = 0.8
    0x561d9146fd40/V- RooExponential::bkg2 = 0.00673795 [Auto,Dirty] 
      0x561d8fdf7990/V- RooRealVar::x = 5
      0x561d900d4140/V- RooRealVar::alpha = -1
  0x561d8d072da0/V- RooRealVar::bkgfrac = 0.5
  0x561d91277810/V- RooAddPdf::sig = 1/1 [Auto,Clean] 
    0x561d8b3b1670/V- RooGaussian::sig1 = 1 [Auto,Dirty] 
      0x561d8fdf7990/V- RooRealVar::x = 5
      0x561d8fc6c330/V- RooRealVar::mean = 5
      0x561d8fc19b60/V- RooRealVar::sigma1 = 0.5
    0x561d8ff3f2f0/V- RooRealVar::sig1frac = 0.8
    0x561d900c7530/V- RooGaussian::sig2 = 1 [Auto,Dirty] 
      0x561d8fdf7990/V- RooRealVar::x = 5
      0x561d8fc6c330/V- RooRealVar::mean = 5
      0x561d8d2b3820/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 843.956 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 -- [fitFCN] No discrete parameters, performing continuous minimization only
[#1] INFO:Minimization -- RooAbsMinimizerFcn::setOptimizeConst: deactivating const optimization
\begin{tabular}{lc}
$\verb+a0+ $ & $  0.5\pm 0.2$\\
$\verb+a1+ $ & $  0.3\pm 0.1$\\
$\verb+alpha+ $ & $ -1.00$\\
$\verb+bkgfrac+ $ & $  0.46\pm 0.03$\\
$\verb+mean+ $ & $  5$\\
$\verb+sig1frac+ $ & $  0.79\pm 0.05$\\
$\verb+sigma1+ $ & $  0.5$\\
$\verb+sigma2+ $ & $  1$\\
\end{tabular}
\begin{tabular}{lc|lc}
$\verb+a0+ $ & $  0.5\pm 0.2$ & $\verb+mean+ $ & $  5$\\
$\verb+a1+ $ & $  0.3\pm 0.1$ & $\verb+sig1frac+ $ & $  0.79\pm 0.05$\\
$\verb+alpha+ $ & $ -1.00$ & $\verb+sigma1+ $ & $  0.5$\\
$\verb+bkgfrac+ $ & $  0.46\pm 0.03$ & $\verb+sigma2+ $ & $  1$\\
\end{tabular}
\begin{tabular}{lcc}
$\verb+a0+ $ & $  0.5\pm 0.2$ & $ 0.5$\\
$\verb+a1+ $ & $  0.3\pm 0.1$ & $ 0$\\
$\verb+alpha+ $ & $ -1.00$ & $-1.00$\\
$\verb+bkgfrac+ $ & $  0.46\pm 0.03$ & $ 0.5$\\
$\verb+mean+ $ & $  5$ & $ 5$\\
$\verb+sig1frac+ $ & $  0.79\pm 0.05$ & $ 0.8$\\
$\verb+sigma1+ $ & $  0.5$ & $ 0.5$\\
$\verb+sigma2+ $ & $  1$ & $ 1$\\
\end{tabular}
\begin{tabular}{lcc|lcc}
$\verb+a0+ $ & $  0.5\pm 0.2$ & $ 0.5$ & $\verb+mean+ $ & $  5$ & $ 5$\\
$\verb+a1+ $ & $  0.3\pm 0.1$ & $ 0$ & $\verb+sig1frac+ $ & $  0.79\pm 0.05$ & $ 0.8$\\
$\verb+alpha+ $ & $ -1.00$ & $-1.00$ & $\verb+sigma1+ $ & $  0.5$ & $ 0.5$\\
$\verb+bkgfrac+ $ & $  0.46\pm 0.03$ & $ 0.5$ & $\verb+sigma2+ $ & $  1$ & $ 1$\\
\end{tabular}

Date

February 2018

Authors

Clemens Lange, Wouter Verkerke (C++ version)

Definition in file rf407_ComputationalGraphVisualization.py.