| Budget Amount *help |
¥15,730,000 (Direct Cost: ¥12,100,000、Indirect Cost: ¥3,630,000)
Fiscal Year 2021: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
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| Outline of Final Research Achievements |
We studied mathematical modeling for expressing multiscale nonlinear data efficiently using basis functions having different scales, and the outcomes were documented in five journal articles and 10 international conference papers. As one of the main results, we developed an online algorithm which generates an efficient estimate of complex (multiscale) nonlinear function as a linear combination of Gaussian functions with different scales, where the the scale as well as the center point is adapted together with the coefficients. The algorithm can track non-stationary signals efficiently by adapting the shape of the Gaussians. The numerical examples show the efficacy of the proposed method.
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