| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
It is well known that dually-flat structures are important geometric structures in Information geometry. In this research, we have studied the multiple dually-flat structures in information geometric structures of a general deformed-exponential family. We have found that i) the method to construct an appropriate statistical manifold from a general deformed-exponential family by using so-called "conjugate representation" proposed by J. Zhang; ii) characterizing escort-expectations by using our method; iii) the existing of the multiple dually-flat structures based on the multiple escort-expectations for a deformed-exponential family; iv) some applications to Thermodynamics, Statistical Physics, and related fields.
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