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Motivations and main challenge Experiments
A Relative Dependency Test
Wacha BOUNLIPHONE, Arthur GRETTON, ArthurTENENHAUS, Matthew BLASCHKO
Equipe GALEN
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Motivations and main challenge Experiments
Main challenge
Main Challenge
To develop new statistical method to determine whether adependency is stronger between one pair of measurements oranother.
Dependent(Source,Target1) > Dependent(Source,Target2) ?
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Motivations and main challenge Experiments
Verification and calibration
Illustration of synthetic datasets
In this dataset, we can control the relative degree of functionaldependency between variates.
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−15 −10 −5 0 5 10 15−15
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(a) (b) (c)
Question: DependentTest(a,b) > DependentTest(a,c) ?
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p−values
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0 0.2 0.4 0.6 0.8 10
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γ3 Type I error Type II error5 / 5
Motivations and main challenge Experiments
Pediatric high-grade gliomas (pHGG)
Brain tumors localisation
pHGG have different genetics origins depending on the location ofthe tumor in the brain. The goal is to identify the mechanismsresponsible of the tumor.
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x 10−3
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HSIC1XY
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dependent testindependent test
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