Trading Accuracy for Sparsity in Optimization Problems with Sparsity Constraints

نویسندگان

  • Shai Shalev-Shwartz
  • Nathan Srebro
  • Tong Zhang
چکیده

We study the problem of minimizing the expected loss of a linear predictor while constraining its sparsity, i.e., bounding the number of features used by the predictor. While the resulting optimization problem is generally NP-hard, several approximation algorithms are considered. We analyze the performance of these algorithms, focusing on the characterization of the trade-off between accuracy and sparsity of the learned predictor in different scenarios.

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عنوان ژورنال:
  • SIAM Journal on Optimization

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2010