Consideration on singularities in learning theory by complex and real analysis
| Project/Area Number |
23540224
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Nihon University |
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Principal Investigator |
AOYAGI Miki 日本大学, 理工学部, 准教授 (90338434)
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| Project Period (FY) |
2011-04-28 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 学習係数 / 特異点解消 / log canonical threshold / 学習理論 |
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| Outline of Final Research Achievements |
The purpose of a learning system is to estimate an unknown true density function that generates the data. Recently, the WAIC model selection method, which is a generalized AIC, has been considered for estimating a probability function from data in a singular learning system. The learning coefficient in Bayesian estimation serves to measure the learning efficiency, and has an important role in the WAIC method. Mathematically, the learning coefficient is the log canonical threshold of the relative entropy. In this study we consider learning coefficients and several theorems for our results.
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Report
(7 results)
Research Products
(14 results)
