| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Outline of Final Research Achievements |
We have revealed some of the characteristics of singularities in neural networks. In other words, we mathematically clarified that deep neural networks have a number of "hierarchical structure-based singularities" and derived the sufficient conditions for not having such singularities. In addition, we mathematically showed that some singularities in deep real-valued neural networks, which are equivalent to deep complex-valued neural networks, are naturally resolved due to their complex number-based nature. Furthermore, we derived the sufficient conditions for nonlinear deep neural networks not to have bad local minima with large learning errors which have a bad influence on learning performance.
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