| Project/Area Number |
24800022
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Sensitivity informatics/Soft computing
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2012-08-31 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 信号処理 / リスク推定量 / 画像処理 / 適応フィルタ / 最適化工学 / パラメータ推定問題 / 凸最適化 / 適応システム同定 / 信号処理工学 / 線形パラメータ推定問題 / SURE / 悪条件 / 低階数最小分散擬似不偏推定法 / 画像復元 |
|---|
| Research Abstract |
Many signal processing problems can be reduced to estimation problems in linear models: estimating an unknown vector with an observation that is the multiplication of a known model matrix and the unknown vector in the presence of additive noise. In this context, many algorithms attempt to minimize the Mean Squared Error (MSE). However, since evaluation of the MSE requires the exact knowledge of the unknown vector, estimation techniques for the MSE are essential in many practical situations. In this study, we propose robust estimators for the MSE and utilize their efficient minimization techniques in the context of image restoration and parameter tuning of adaptive filtering algorithms.
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