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                            Activity Number:
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                            165 
                            
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                            Type:
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                            Topic Contributed
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                            Date/Time:
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                            Monday, August 1, 2016 : 10:30 AM to 12:20 PM
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                            Sponsor:
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                            Section on Statistics in Epidemiology
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                            Abstract #320981
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                            Title:
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                            Identifying Interactions Using Convex Optimization
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                        Author(s):
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                        Jacob Bien* and Robert Tibshirani and Noah Simon 
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                        Companies:
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                        Cornell University  and Stanford University and University of Washington 
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                        Keywords:
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                            interactions ; 
                            sparsity ; 
                            high-dimensional ; 
                            convexity 
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                        Abstract:
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                            We consider the testing of all pairwise interactions in a two-class problem with many features. We devise a hierarchical testing framework that considers an interaction only when one or more of its constituent features has a nonzero main effect. The test is based on a convex optimization framework that seamlessly considers main effects and interactions together. We show---both in simulation and on a genomic data set from the SAPPHIRe study---a potential gain in power and interpretability over a standard (nonhierarchical) interaction test.   
                         
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                    Authors who are presenting talks have a * after their name.