Modeling Discrete Interventional Data using Directed Cyclic Graphical Models

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Modeling Discrete Interventional Data using Directed Cyclic Graphical Models Mark Schmidt and Kevin Murphy Department of Computer Science University of British Columbia June 21, 2009

  • intracellular multivariate flow

  • discrete interventional

  • murphy modeling

  • introduction interventional

  • potential model

  • data using


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Publié par

Nombre de lectures

27

Langue

English

Poids de l'ouvrage

1 Mo

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

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