Organization and simultaneous fits: using RooSimWSTool to construct a simultaneous pdf that is built of variations of an input pdf
Author: Clemens Lange, Wouter Verkerke (C++ version)
This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Tuesday, March 19, 2024 at 07:16 PM.
import ROOT
Construct gauss(x,m,s)
x = ROOT.RooRealVar("x", "x", -10, 10)
m = ROOT.RooRealVar("m", "m", 0, -10, 10)
s = ROOT.RooRealVar("s", "s", 1, -10, 10)
gauss = ROOT.RooGaussian("g", "g", x, m, s)
[#0] WARNING:InputArguments -- The parameter 's' with range [-10, 10] of the RooGaussian 'g' exceeds the safe range of (0, inf). Advise to limit its range.
Construct poly(x,p0)
p0 = ROOT.RooRealVar("p0", "p0", 0.01, 0.0, 1.0)
poly = ROOT.RooPolynomial("p", "p", x, [p0])
model = fgauss(x) + (1-f)poly(x)
f = ROOT.RooRealVar("f", "f", 0.5, 0.0, 1.0)
model = ROOT.RooAddPdf("model", "model", [gauss, poly], [f])
Define two categories that can be used for splitting
c = ROOT.RooCategory("c", "c")
c.defineType("run1")
c.defineType("run2")
d = ROOT.RooCategory("d", "d")
d.defineType("foo")
d.defineType("bar")
False
Import ingredients in a workspace
w = ROOT.RooWorkspace("w", "w")
w.Import({model, c, d})
False
[#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooCategory::c [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooCategory::d [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooGaussian::g [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::x [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::m [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::s [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::f [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooPolynomial::p [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::p0
Make Sim builder tool
sct = ROOT.RooSimWSTool(w)
Construct a simultaneous pdf with the following form
model_run1(x) = fgauss_run1(x,m_run1,s) + (1-f)poly model_run2(x) = fgauss_run2(x,m_run2,s) + (1-f)poly simpdf(x,c) = model_run1(x) if c=="run1" = model_run2(x) if c=="run2"
Returned pdf is owned by the workspace
model_sim = sct.build("model_sim", "model", SplitParam=("m", "c"))
Splitrule for p.d.f model with state list parameter m is split with constraint in categories (c) [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: list of prototype pdfs (model) [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: list of splitting categories (c) [#1] INFO:ObjectHandling -- RooSimPdfBuilder::executeBuild: processing prototype pdf model [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: configured customizers for all prototype pdfs [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: Customizing prototype pdf model for mode run1 [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: Customizing prototype pdf model for mode run2 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooSimultaneous::model_sim [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model_run1 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooGaussian::g_run1 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::m_run1 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model_run2 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooGaussian::g_run2 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::m_run2
Print tree structure of model
model_sim.Print("t")
0x98e60a0 RooSimultaneous::model_sim = 1 [Auto,Dirty] 0x8ffddc0/V- RooCategory::c = run2(idx = 1) 0x97fbe00/V- RooAddPdf::model_run1 = 1/1 [Auto,Clean] 0x9735e40/V- RooGaussian::g_run1 = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x98ce1d0/V- RooRealVar::m_run1 = 0 0x959e490/V- RooRealVar::s = 1 0x95688b0/V- RooRealVar::f = 0.5 0x95c2950/V- RooPolynomial::p = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x9316b90/V- RooRealVar::p0 = 0.01 0x9a75690/V- RooAddPdf::model_run2 = 1/1 [Auto,Clean] 0x970dba0/V- RooGaussian::g_run2 = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x99360f0/V- RooRealVar::m_run2 = 0 0x959e490/V- RooRealVar::s = 1 0x95688b0/V- RooRealVar::f = 0.5 0x95c2950/V- RooPolynomial::p = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x9316b90/V- RooRealVar::p0 = 0.01
Adjust model_sim parameters in workspace
w.var("m_run1").setVal(-3)
w.var("m_run2").setVal(+3)
Print contents of workspace
w.Print("v")
RooWorkspace(w) w contents variables --------- (c,d,f,m,m_run1,m_run2,p0,s,x) p.d.f.s ------- RooGaussian::g[ x=x mean=m sigma=s ] = 1 RooGaussian::g_run1[ x=x mean=m_run1 sigma=s ] = 0.011109 RooGaussian::g_run2[ x=x mean=m_run2 sigma=s ] = 0.011109 RooAddPdf::model[ f * g + [%] * p ] = 1/1 RooAddPdf::model_run1[ f * g_run1 + [%] * p ] = 0.505554/1 RooAddPdf::model_run2[ f * g_run2 + [%] * p ] = 0.505554/1 RooSimultaneous::model_sim[ indexCat=c run1=model_run1 run2=model_run2 ] = 0.505554 RooPolynomial::p[ x=x coefList=(p0) ] = 1
Build another simultaneous pdf using a composite split in states c X d
model_sim2 = sct.build("model_sim2", "model", SplitParam=("p0", "c,d"))
Splitrule for p.d.f model with state list parameter p0 is split with constraint in categories (c,d) [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: list of prototype pdfs (model) [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: list of splitting categories (c,d) [#1] INFO:ObjectHandling -- RooSimPdfBuilder::executeBuild: processing prototype pdf model [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooMultiCategory::c,d [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: configured customizers for all prototype pdfs [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: Customizing prototype pdf model for mode {run1;bar} [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: Customizing prototype pdf model for mode {run1;foo} [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: Customizing prototype pdf model for mode {run2;bar} [#1] INFO:ObjectHandling -- RooSimWSTool::executeBuild: Customizing prototype pdf model for mode {run2;foo} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooSimultaneous::model_sim2 [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooSuperCategory::model_sim2_index [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooMultiCategory::model_sim2_index_internalMultiCat [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model_{run1;bar} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooPolynomial::p_{run1;bar} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::p0_{run1;bar} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model_{run1;foo} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooPolynomial::p_{run1;foo} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::p0_{run1;foo} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model_{run2;bar} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooPolynomial::p_{run2;bar} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::p0_{run2;bar} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooAddPdf::model_{run2;foo} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooPolynomial::p_{run2;foo} [#1] INFO:ObjectHandling -- RooWorkspace::import(w) importing RooRealVar::p0_{run2;foo}
Print tree structure of self model
model_sim2.Print("t")
0x9a635e0 RooSimultaneous::model_sim2 = 1 [Auto,Dirty] 0x2333c80/V- RooSuperCategory::model_sim2_index = {run2;foo}(idx = 1) [Auto,Clean] 0x9a67fc0/VS RooMultiCategory::model_sim2_index_internalMultiCat = {run2;foo}(idx = 1) [Auto,Clean] 0x8ffddc0/VS RooCategory::c = run2(idx = 1) 0x8e6aff0/VS RooCategory::d = foo(idx = 0) 0x9a683f0/V- RooAddPdf::model_{run1;bar} = 1/1 [Auto,Clean] 0x9599e30/V- RooGaussian::g = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x963b420/V- RooRealVar::m = 0 0x959e490/V- RooRealVar::s = 1 0x95688b0/V- RooRealVar::f = 0.5 0x9a3f990/V- RooPolynomial::p_{run1;bar} = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x9a41f20/V- RooRealVar::p0_{run1;bar} = 0.01 0x9a425a0/V- RooAddPdf::model_{run1;foo} = 1/1 [Auto,Clean] 0x9599e30/V- RooGaussian::g = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x963b420/V- RooRealVar::m = 0 0x959e490/V- RooRealVar::s = 1 0x95688b0/V- RooRealVar::f = 0.5 0x9a471b0/V- RooPolynomial::p_{run1;foo} = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x9a49740/V- RooRealVar::p0_{run1;foo} = 0.01 0x9a49dc0/V- RooAddPdf::model_{run2;bar} = 1/1 [Auto,Clean] 0x9599e30/V- RooGaussian::g = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x963b420/V- RooRealVar::m = 0 0x959e490/V- RooRealVar::s = 1 0x95688b0/V- RooRealVar::f = 0.5 0x9a4ea10/V- RooPolynomial::p_{run2;bar} = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x9a50f80/V- RooRealVar::p0_{run2;bar} = 0.01 0x9a51600/V- RooAddPdf::model_{run2;foo} = 1/1 [Auto,Clean] 0x9599e30/V- RooGaussian::g = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x963b420/V- RooRealVar::m = 0 0x959e490/V- RooRealVar::s = 1 0x95688b0/V- RooRealVar::f = 0.5 0x9a56290/V- RooPolynomial::p_{run2;foo} = 1 [Auto,Dirty] 0x95bfb30/V- RooRealVar::x = 0 0x9a58800/V- RooRealVar::p0_{run2;foo} = 0.01