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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
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Conference Information
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)  
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)  
Keyword(1) signal approximation  
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 
Date of Issue 2020-11-05 (BCT) 

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