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Selecting the Best in GANs Family: a Post Selection Inference Framework

15 February 2018
Yao-Hung Hubert Tsai
M. Yamada
Denny Wu
Ruslan Salakhutdinov
Ichiro Takeuchi
Kenji Fukumizu
    EGVM
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Abstract

"Which Generative Adversarial Networks (GANs) generates the most plausible images?" has been a frequently asked question among researchers. To address this problem, we first propose an \emph{incomplete} U-statistics estimate of maximum mean discrepancy MMDinc\mathrm{MMD}_{inc}MMDinc​ to measure the distribution discrepancy between generated and real images. MMDinc\mathrm{MMD}_{inc}MMDinc​ enjoys the advantages of asymptotic normality, computation efficiency, and model agnosticity. We then propose a GANs analysis framework to select and test the "best" member in GANs family using the Post Selection Inference (PSI) with MMDinc\mathrm{MMD}_{inc}MMDinc​. In the experiments, we adopt the proposed framework on 7 GANs variants and compare their MMDinc\mathrm{MMD}_{inc}MMDinc​ scores.

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