JSM 2011 Online Program

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Abstract Details

Activity Number: 137
Type: Contributed
Date/Time: Monday, August 1, 2011 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Defense and National Security
Abstract - #302920
Title: Optimal Weighting for Joint Optimization of Fidelity and Commensurability in Tests of Matchedness
Author(s): Sancar Adali*+ and Carey Priebe
Companies: The Johns Hopkins University and The Johns Hopkins University
Address: 3400 North Charles Street, Baltimore, MD, 21211, United States
Keywords: Multidimensional Scaling ; Manifold Matching ; Disparate Sources ; Fidelity and Commensurability ; Procrustes Matching ; Canonical Correlation
Abstract:

For matched data from disparate sources (objects observed under different conditions), optimality of information fusion must be defined with respect to the inference task at hand. Defining the task as matched/unmatched hypothesis testing for dissimilarity observations, the forthcoming Manifold Matching paper by Priebe et al. presents an embedding method based on joint optimization of fidelity (preservation of within-condition dissimilarities between observations of an object) and commensurability (preservation of between-condition dissimilarities between observations). We investigate the tradeoff between fidelity and commensurability by varying weights in weighted embedding of an omnibus dissimilarity matrix. Optimal (defined with respect to the power of the test) weights for the optimization correspond to an optimal compromise between fidelity and commensurability. The two extremes of this tradeoff are commensurability optimization prioritized over fidelity optimization and vice versa. Results indicate optimal weights are different than equal weights for commensurability and fidelity and our weighted embedding scheme provides significant improvements in test power.


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