rf306_condpereventerrors.C File Reference

Detailed Description

Multidimensional models: conditional pdf with per-event errors

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#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooGaussModel.h"
#include "RooDecay.h"
#include "RooLandau.h"
#include "RooPlot.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "TH1.h"
using namespace RooFit;
 
void rf306_condpereventerrors()
{
   // B - p h y s i c s   p d f   w i t h   p e r - e v e n t  G a u s s i a n   r e s o l u t i o n
   // ----------------------------------------------------------------------------------------------
 
   // Observables
   RooRealVar dt("dt", "dt", -10, 10);
   RooRealVar dterr("dterr", "per-event error on dt", 0.01, 10);
 
   // Build a gaussian resolution model scaled by the per-event error = gauss(dt,bias,sigma*dterr)
   RooRealVar bias("bias", "bias", 0, -10, 10);
   RooRealVar sigma("sigma", "per-event error scale factor", 1, 0.1, 10);
   RooGaussModel gm("gm1", "gauss model scaled bt per-event error", dt, bias, sigma, dterr);
 
   // Construct decay(dt) (x) gauss1(dt|dterr)
   RooRealVar tau("tau", "tau", 1.548);
   RooDecay decay_gm("decay_gm", "decay", dt, tau, gm, RooDecay::DoubleSided);
 
   // C o n s t r u c t   f a k e   ' e x t e r n a l '   d a t a    w i t h   p e r - e v e n t   e r r o r
   // ------------------------------------------------------------------------------------------------------
 
   // Use landau pdf to get somewhat realistic distribution with long tail
   RooLandau pdfDtErr("pdfDtErr", "pdfDtErr", dterr, 1.0, 0.25);
   std::unique_ptr<RooDataSet> expDataDterr{pdfDtErr.generate(dterr, 10000)};
 
   // S a m p l e   d a t a   f r o m   c o n d i t i o n a l   d e c a y _ g m ( d t | d t e r r )
   // ---------------------------------------------------------------------------------------------
 
   // Specify external dataset with dterr values to use decay_dm as conditional pdf
   std::unique_ptr<RooDataSet> data{decay_gm.generate(dt, ProtoData(*expDataDterr))};
 
   // F i t   c o n d i t i o n a l   d e c a y _ d m ( d t | d t e r r )
   // ---------------------------------------------------------------------
 
   // Specify dterr as conditional observable
   decay_gm.fitTo(*data, ConditionalObservables(dterr), PrintLevel(-1));
 
   // P l o t   c o n d i t i o n a l   d e c a y _ d m ( d t | d t e r r )
   // ---------------------------------------------------------------------
 
   // Make two-dimensional plot of conditional pdf in (dt,dterr)
   TH1 *hh_decay = decay_gm.createHistogram("hh_decay", dt, Binning(50), YVar(dterr, Binning(50)));
   hh_decay->SetLineColor(kBlue);
 
   // Plot decay_gm(dt|dterr) at various values of dterr
   RooPlot *frame = dt.frame(Title("Slices of decay(dt|dterr) at various dterr"));
   for (Int_t ibin = 0; ibin < 100; ibin += 20) {
      dterr.setBin(ibin);
      decay_gm.plotOn(frame, Normalization(5.));
   }
 
   // Make projection of data an dt
   RooPlot *frame2 = dt.frame(Title("Projection of decay(dt|dterr) on dt"));
   data->plotOn(frame2);
 
   // Make projection of decay(dt|dterr) on dt.
   //
   // Instead of integrating out dterr, make a weighted average of curves
   // at values dterr_i as given in the external dataset.
   // (The true argument bins the data before projection to speed up the process)
   decay_gm.plotOn(frame2, ProjWData(*expDataDterr, true));
 
   // Draw all frames on canvas
   TCanvas *c = new TCanvas("rf306_condpereventerrors", "rf306_condperventerrors", 1200, 400);
   c->Divide(3);
   c->cd(1);
   gPad->SetLeftMargin(0.20);
   hh_decay->GetZaxis()->SetTitleOffset(2.5);
   hh_decay->Draw("surf");
   c->cd(2);
   gPad->SetLeftMargin(0.15);
   frame->GetYaxis()->SetTitleOffset(1.6);
   frame->Draw();
   c->cd(3);
   gPad->SetLeftMargin(0.15);
   frame2->GetYaxis()->SetTitleOffset(1.6);
   frame2->Draw();
}

[#1] INFO:Fitting -- RooAbsPdf::fitTo(gm1_conv_exp(-abs(@0)/@1)_dt_tau_[decay_gm]_over_gm1_conv_exp(-abs(@0)/@1)_dt_tau_[decay_gm]_Int[dt]) 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 1.93426 ms
[#1] INFO:Fitting -- RooAddition::defaultErrorLevel(nll_gm1_conv_exp(-abs(@0)/@1)_dt_tau_[decay_gm]_over_gm1_conv_exp(-abs(@0)/@1)_dt_tau_[decay_gm]_Int[dt]_decay_gmData) 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
[#1] INFO:NumericIntegration -- RooRealIntegral::init(gm1_conv_exp(-abs(@0)/@1)_dt_tau_[decay_gm]_Int[dt,dterr]) using numeric integrator RooIntegrator1D to calculate Int(dterr)
[#1] INFO:Plotting -- RooAbsReal::plotOn(decay_gm) plot on dt averages using data variables (dterr)

Date

July 2008

Author

Wouter Verkerke

Definition in file rf306_condpereventerrors.C.