| Budget Amount *help |
¥16,120,000 (Direct Cost: ¥12,400,000、Indirect Cost: ¥3,720,000)
Fiscal Year 2018: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
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| Outline of Final Research Achievements |
In this study, we have achieved variety of novel mathematical ideas on the innovative signal processing applications of the Cayley-Dickson number systems which were not exploited soundly in the existing signal processing. Major contributions achieved in this project are summarized in publications (i) Hyper complex tensor completion (IEEE Transactions on Signal Processing 2019, in press), (ii) Hypercomplex principal component pursuit (Robust PCA) (Proc. APSIPA ASC 2018), (iii) Hypercomplex low rank matrix completion with nonnegative constraints (Proc. IEEE ICASSP 2019). Moreover, we also investigated various related optimization problems and achieved many new results.
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