Sparse Group Lassoのための高速なBlock Coordinate Descent

  • 井田 安俊
    日本電信電話株式会社NTT ソフトウェアイノベーションセンタ 京都大学
  • 藤原 靖宏
    日本電信電話株式会社NTT コミュニケーション科学基礎研究所
  • 鹿島 久嗣
    京都大学

書誌事項

タイトル別名
  • Fast Block Coordinate Descent for Sparse Group Lasso

説明

<p>Sparse Group Lasso is a method of linear regression analysis that finds sparse parameters in terms of both feature groups and individual features. Block Coordinate Descent is a standard approach to obtain the parameters of Sparse Group Lasso, and iteratively updates the parameters for each parameter group. However, as an update of only one parameter group depends on all the parameter groups or data points, the computation cost is high when the number of the parameters or data points is large. This paper proposes a fast Block Coordinate Descent for Sparse Group Lasso. It efficiently skips the updates of the groups whose parameters must be zeros by using the parameters in one group. In addition, it preferentially updates parameters in a candidate group set, which contains groups whose parameters must not be zeros. Theoretically, our approach guarantees the same results as the original Block Coordinate Descent. Experiments show that our method enhances the efficiency of original method and achieves the same prediction error.</p>

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