| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
Signal recovery methods for underdetermined problems using n-th order moments were developed, and the characteristics of optimization problems which are bases of such signal recovery problems were considered.
In the developed signal recovery method, second order moment of sources are estimated with a non-linear method, and then raw values of source of each observed samples are further estimated with non-linear methods using the derived second order moment estimation. The activities of sources whose active variables are more than observation dimension were successfully captured by the proposed method.
Regarding theories of optimization problems, a variant of the Berge's maximum theorem was developed to handle non-compact-valued constraint conditions. For Komiya's theorem, the inverse of the Berge's theorem, a variant in which the objective function does not take observations as the constraint condition was developed. These theorems correspond to more realistic signal recovery conditions.
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