2010 Fiscal Year Final Research Report
Tensor data processing based on Kronecker product representation
| Project/Area Number |
20700165
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Perception information processing/Intelligent robotics
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| Research Institution | Kyushu University |
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Principal Investigator |
INOUE Kohei Kyushu University, 芸術工学研究院, 助教 (70325570)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 画像情報処理 |
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| Research Abstract |
Kronecker products defined for vectors and matrices are extended for general multi-dimensional arrays (tensors), and several methods for tensor data processing are developed in this research. First, a relationship between the approximation with Kronecker products of a tensor and the best rank-1 approximations is shown. Next, an approximation problem with Kronecker products of tensors is presented and an iterative algorithm for solving the problem is derived, and then the Kronecker product representation of the best rank-1 approximation of a tensor is generalized.
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