| Budget Amount *help |
¥141,180,000 (Direct Cost: ¥108,600,000、Indirect Cost: ¥32,580,000)
Fiscal Year 2017: ¥29,510,000 (Direct Cost: ¥22,700,000、Indirect Cost: ¥6,810,000)
Fiscal Year 2016: ¥30,680,000 (Direct Cost: ¥23,600,000、Indirect Cost: ¥7,080,000)
Fiscal Year 2015: ¥29,250,000 (Direct Cost: ¥22,500,000、Indirect Cost: ¥6,750,000)
Fiscal Year 2014: ¥32,240,000 (Direct Cost: ¥24,800,000、Indirect Cost: ¥7,440,000)
Fiscal Year 2013: ¥19,500,000 (Direct Cost: ¥15,000,000、Indirect Cost: ¥4,500,000)
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| Outline of Final Research Achievements |
In this project we showed that practical computations for many problems, for which existing methods were not feasible, can be performed using the methodology of computational algebraic statistics. In particular we obtained some important results from the theoretical as well as applied viewpoint on the Holonomic Gradient Method, which was proposed by the principal investigator about 8 years ago. Importance of these results were acknowledged by the Analysis Prize of the Mathematical Society of Japan in 2015. By challenging classical difficult problems in mathematical statistics from the viewpoint of algebra, some useful results in algebra have also been obtained. In this sense, the project bridged computation, algebra and statistics. Our results were published in many papers. In addition, the results were implemented in a package for R and provided to the users of statistics.
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