| Paper Abstract and Keywords |
| Presentation |
2020-11-13 13:30
The Optimum Prediction Theory of the Matrix Input Operator by Additive Operator Filter bank
Takuro Kida (Titech), Yuichi Kida (Ohu Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
With respect to a matrix-filter bank that the matrix analysis-filter bank ${bf H}$ and the matrix sampling-filter bank ${bf S}$ are given, it is accomplished to present the optimum matrix synthesis-filter bank ${bf Z}$ that minimizes all the worst-case measures of matrix-error-signals ${bf E}(omega)={bf F}(omega)-{bf Y}(omega)$ between the input matrix-signals ${bf F}(omega)$ and the output matrix-signals ${bf Y(omega)}$ of the matrix-filter bank, at the same time. As the direct conclusion of this result, it is shown that there exists the optimum and linear approximation system based on the scanned data of given multi-dimensional past knowledge ${bf f}({bf x}(t))$ if a given nonlinear deep learning system uses the equivalent data as these data finally. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
signal approximation / / / / / / / |
| Reference Info. |
ITE Tech. Rep., vol. 44, no. 28, BCT2020-67, pp. 41-46, Nov. 2020. |
| Paper # |
BCT2020-67 |
| Date of Issue |
2020-11-05 (BCT) |
| ISSN |
Print edition: ISSN 1342-6893 Online edition: ISSN 2424-1970 |
| Download PDF |
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| Conference Information |
| Committee |
BCT IEICE-OFT IEICE-OCS IEE-CMN |
| Conference Date |
2020-11-12 - 2020-11-13 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Online |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
BCT |
| Conference Code |
2020-11-BCT-OFT-OCS-CMN |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
The Optimum Prediction Theory of the Matrix Input Operator by Additive Operator Filter bank |
| Sub Title (in English) |
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signal approximation |
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| 1st Author's Name |
Takuro Kida |
| 1st Author's Affiliation |
Tokyo Institute of Technology (Titech) |
| 2nd Author's Name |
Yuichi Kida |
| 2nd Author's Affiliation |
Ohu University (Ohu Univ.) |
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| Speaker |
Author-2 |
| Date Time |
2020-11-13 13:30:00 |
| Presentation Time |
25 minutes |
| Registration for |
BCT |
| Paper # |
BCT2020-67 |
| Volume (vol) |
vol.44 |
| Number (no) |
no.28 |
| Page |
pp.41-46 |
| #Pages |
6 |
| Date of Issue |
2020-11-05 (BCT) |