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Assessing Generalization of SGD via Disagreement

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 نشر من قبل Vaishnavh Nagarajan
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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We empirically show that the test error of deep networks can be estimated by simply training the same architecture on the same training set but with a different run of Stochastic Gradient Descent (SGD), and measuring the disagreement rate between the two networks on unlabeled test data. This builds on -- and is a stronger version of -- the observation in Nakkiran & Bansal 20, which requires the second run to be on an altogether fresh training set. We further theoretically show that this peculiar phenomenon arises from the emph{well-calibrated} nature of emph{ensembles} of SGD-trained models. This finding not only provides a simple empirical measure to directly predict the test error using unlabeled test data, but also establishes a new conceptual connection between generalization and calibration.

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