Learning and Data Selection in Big DatasetsDownload PDF

27 Sep 2018 (modified: 26 Nov 2018)ICLR 2019 Conference Withdrawn SubmissionReaders: Everyone
  • Abstract: Finding a dataset of minimal cardinality to characterize the optimal parameters of a model is of paramount importance in machine learning and distributed optimization over a network. This paper investigates the compressibility of large datasets. More specifically, we propose a framework that jointly learns the input-output mapping as well as the most representative samples of the dataset (sufficient dataset). Our analytical results show that the cardinality of the sufficient dataset increases sub-linearly with respect to the original dataset size. Numerical evaluations of real datasets reveal a large compressibility, up to 95%, without a noticeable drop in the learnability performance, measured by the generalization error.
  • Keywords: Data selection, non-convex optimization, learning theory, active learning
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