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Learning Bounds of ERM Principle for Sequences of Time-Dependent Samples

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  • Mingchen Yao
  • Chao Zhang
  • Wei Wu

Abstract

Many generalization results in learning theory are established under the assumption that samples are independent and identically distributed (i.i.d.). However, numerous learning tasks in practical applications involve the time-dependent data. In this paper, we propose a theoretical framework to analyze the generalization performance of the empirical risk minimization (ERM) principle for sequences of time-dependent samples (TDS). In particular, we first present the generalization bound of ERM principle for TDS. By introducing some auxiliary quantities, we also give a further analysis of the generalization properties and the asymptotical behaviors of ERM principle for TDS.

Suggested Citation

  • Mingchen Yao & Chao Zhang & Wei Wu, 2015. "Learning Bounds of ERM Principle for Sequences of Time-Dependent Samples," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, November.
  • Handle: RePEc:hin:jnddns:826812
    DOI: 10.1155/2015/826812
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