| Project/Area Number |
24540134
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Akita Prefectural University |
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Principal Investigator |
Mitsuhiro Hoshino 秋田県立大学, システム科学技術学部, 准教授 (90322338)
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| Project Period (FY) |
2012-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 自己組織化 / 吸収状態 / 準吸収的特性 / 学習過程 / 順序化 / 整列化 / 自己組織化マップ / 状態クラス / 学習プロセス / 吸収性 / 非線形解析 |
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| Outline of Final Research Achievements |
We consider mathematical models of self-organizing maps referred to as Kohonen type algorithm, which is very practical and has many useful applications, such as a semantic map, a diagnosis of speech voicing, the traveling-salesman problem, and so on. The purpose of this research is to make a study of closed classes of states and their characterization in self-organizing map models.We obtained a condition that the learning mapping is non-expansive in self-organizing maps with inputs in an inner product space. We have given an extended learning process with a variable learning rate factor and a sufficient condition that a learning process forms a closed class of states. Furthermore, we have made a study of ordering of node values on learning process by several numerical examples and their calculations from various angles.sional arrayed self-organizing maps with a one dimensional input space.
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