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ModelingDiscreteInterventionalDatausing
DirectedCyclicGraphicalModels
MarkSchmidtandKevinMurphy
DepartmentofComputerScience
UniversityofBritishColumbia
June21,2009
siDgniledoMyhpruM.KdnatdimhcS.MnoitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitExperiments
n4
eImplementation
t3
o2
PInterventionalPotentialModel
lIntroduction
Motivation
OurContribution
a1
nOutline
oitnevretnInoitcudortnIsledoMGCDgnisuataDlanoitnevretnIeterc
sledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.MnoitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIIfI
set
mywatchsoitsays11:55,itdoesn’thelp
IfI
see
thatmywatchsays11:55,thenit’salmostlunchtime
Thedifferencebetween
conditioningbyobservation
and
conditioningbyintervention
inthe‘hungryatwork’problem:
collectsbothobservationaland
interventional
data.
collectsalargenumberofsamples
simultaneouslymeasuresmultiplemolecules
Recently,Sachsetal.[2005]analyzedanintracellularmultivariate
flowcytometrydatasetthat:
MotivatingProblem:ModelingBiologicalNetworks
noitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIIfI
set
mywatchsoitsays11:55,itdoesn’thelp
IfI
see
thatmywatchsays11:55,thenit’salmostlunchtime
Thedifferencebetween
conditioningbyobservation
and
conditioningbyintervention
inthe‘hungryatwork’problem:
collectsbothobservationaland
interventional
data.
collectsalargenumberofsamples
simultaneouslymeasuresmultiplemolecules
Recently,Sachsetal.[2005]analyzedanintracellularmultivariate
flowcytometrydatasetthat:
MotivatingProblem:ModelingBiologicalNetworks
sledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.M
sledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.MnoitubirtnoCruOnoitavitoMstnemiIfI
set
mywatchsoitsays11:55,itdoesn’thelp
rIfI
see
thatmywatchsays11:55,thenit’salmostlunchtime
eThedifferencebetween
conditioningbyobservation
and
conditioningbyintervention
inthe‘hungryatwork’problem:
pcollectsbothobservationaland
interventional
data.
xcollectsalargenumberofsamples
Esimultaneouslymeasuresmultiplemolecules
nRecently,Sachsetal.[2005]analyzedanintracellularmultivariate
flowcytometrydatasetthat:
oMotivatingProblem:ModelingBiologicalNetworks
itatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnI
sledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.MnoitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIIfI
set
mywatchsoitsays11:55,itdoesn’thelp
IfI
see
thatmywatchsays11:55,thenit’salmostlunchtime
Thedifferencebetween
conditioningbyobservation
and
conditioningbyintervention
inthe‘hungryatwork’problem:
collectsbothobservationaland
interventional
data.
collectsalargenumberofsamples
simultaneouslymeasuresmultiplemolecules
Recently,Sachsetal.[2005]analyzedanintracellularmultivariate
flowcytometrydatasetthat:
MotivatingProblem:ModelingBiologicalNetworks
noitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIsledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.MIfI
set
mywatchsoitsays11:55,itdoesn’thelp
IfI
see
thatmywatchsays11:55,thenit’salmostlunchtime
Thedifferencebetween
conditioningbyobservation
and
conditioningbyintervention
inthe‘hungryatwork’problem:
collectsbothobservationaland
interventional
data.
collectsalargenumberofsamples
simultaneouslymeasuresmultiplemolecules
Recently,Sachsetal.[2005]analyzedanintracellularmultivariate
flowcytometrydatasetthat:
MotivatingProblem:ModelingBiologicalNetworks
irepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIMotivating
Problem:
Networks
Modeling
Biological
sledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.MnoitubirtnoCruOnoitavitoMstnem
noitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIsledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.MButDAGsdonotallowthemodeltohave
cycles
(mostbiologicalnetworkscontainfeedbackcycles)
DAGscanmodeleffectsof
interventions
Wecouldusedirectedacyclicgraphical(DAG)models:
Sowhatkindofgraphicalmodelshouldweuseforthisdata?
Wecoulduseundirectedgraphical(UG)models:
UGsallowthemodeltohave
cycles
ButUGsdonotmodeleffectsof
interventions
(thereisnodifferencebetween‘seeing’and‘doing’)
DrawbacksofDirectedAcyclicandUndirectedModels
noitubirtnoCruOnoitavitoMstnemirepxEnoitatnemelpmIledoMlaitnetoPlanoitnevretnInoitcudortnIButDAGsdonotallowthemodeltohave
cycles
(mostbiologicalnetworkscontainfeedbackcycles)
DAGscanmodeleffectsof
interventions
Wecouldusedirectedacyclicgraphical(DAG)models:
Sowhatkindofgraphicalmodelshouldweuseforthisdata?
Wecoulduseundirectedgraphical(UG)models:
UGsallowthemodeltohave
cycles
ButUGsdonotmodeleffectsof
interventions
(thereisnodifferencebetween‘seeing’and‘doing’)
DrawbacksofDirectedAcyclicandUndirectedModels
sledoMGCDgnisuataDlanoitnevretnIetercsiDgniledoMyhpruM.KdnatdimhcS.M