| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
A1. Mathematical analysis by conformal flattening technique in information geometry: conformal flattening technique which transform non-flat statistical manifolds to dually flat ones is derived and its properties are investigated. The non-flat manifolds can be regarded as a generalized exponential family.
A2. Application of information geometry on probability simplex and a cone of positive definite symmetric matrices corresponding to generalized exponential family: Computational algorithms dealing with generalized exponential densities are performed on their parameter spaces. Using dually flat geometry defined on these spaces, we developed the algorithms such as robust parameter estimation, mathematical optimization, and pattern classification.
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