| Budget Amount *help |
¥14,040,000 (Direct Cost: ¥10,800,000、Indirect Cost: ¥3,240,000)
Fiscal Year 2018: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Outline of Final Research Achievements |
Monte Carlo integration of a function f on a hypercube means to generate uniformly random sample points on the hypercube, and then take the average of the function evaluated at these points as a numerical approximation of the integration of f. Quasi-Monte Carlo integration is to choose hyper-uniform sample points to make the integration error smaller. Widely known point sets uses the t-value as a figure of merit. In this study we introduced "WAFOM with parameters" as a new figure of merit, and obtained hyper-uniform point sets according to this index. It is experimentally shown that the new point sets perform better than existing methods, for relatively smooth integrands
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