自動チューニングのための数理基盤技術(<特集>数値計算のための自動チューニング)

書誌事項

タイトル別名
  • Mathematical Core Technology for Automatic Tuning(<Special Topics>Auto-Tuning for Numerical Computations)
  • 自動チューニングのための数理基盤技術
  • ジドウ チューニング ノ タメ ノ スウリ キバン ギジュツ

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抄録

This paper introduces the concepts of automatic tuning, and discusses mathematical aspects and methods of automatic tuning. First, the concepts of automatic tuning are introduced as automation of manual tuning, in order to clarify the goal automatic tuning research is seeking. Next, mathematical aspects of automatic tuning are investigated and analyzed. Based on that framework of automatic tuning analysis, one case of our previous works is re-analyzed and discussed. Our mathematical method, a Bayes-based sequential experimental design with linear models is revisited as well. Next, this paper newly proposes "tuning meter," which quantitatively shows the progress of automatic tuning process. As a Bayesian method, our method provides quantitative estimate of current belief, which can be utilized in a tuning meter. Last, the concept of "infinite dilution" is explained as a method to make existing methods of optimization and machine learning available in online automatic tuning.

収録刊行物

  • 応用数理

    応用数理 20 (3), 191-200, 2010

    一般社団法人 日本応用数理学会

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