Structures of empirical probability spaces associated with convex games
| Project/Area Number |
15K13459
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Osaka University |
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Principal Investigator |
Fujiwara Akio 大阪大学, 理学研究科, 教授 (30251359)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 経験確率 / 凸性 / 情報幾何学 / 量子情報 / 同時凸性 / 単調性 / 情報幾何 / 凸ゲーム / 意見収斂 |
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| Outline of Final Research Achievements |
Aiming at establishing empirical probability structure and/or information geometrical structure associated with convex games, we studied the following: 1) metric structure and dualistic affine connection structure induced from the Sandwiched quantum Renyi α-divergence are studied, 2) Chentsov's characterization is complemented to clarify the structure of Markov invariant (r,s) tensor fields.
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Report
(4 results)
Research Products
(2 results)
